Pre-Calculus H

AP Physics C 

(summer hw) (FRQ list)

HS Physics

SAT 2 Math

AP Physics 1~2 

(summer hw) (FRQ list)

MS Science

Assignment

Description

Due Date

References

• Read the syllabus. Join Google Classroom. 
  
• HW Policy:
• Paper homework: Include your name, section number, homework number. 
• Complete at least the last question from each square
• canNOT skip: Matching, Skills Plus, Applications, Discuss/Discover, Focus sections, word problems, calculator symbol problems.
• Highlight bonuses or they will be overlooked.
• -10 per day late, 0 after 3 days.
• 7th edition problems will be in purple. I separated the 'blocks' by semicolons;  
  
• * means bonus extra credit, please highlight

• For students who have yet to obtain their textbook, the 6th ed questions are posted in the 'Questions' link. The 'reading' is for the content not the questions!
• Real Numbers
• 1.1 (P.10) # 5, 40, 49, 57, 61, 63, 67, 74, 75c.
• 1.1 (P. 10) #10; 42; 52; 60; 61, 66; 70; 76.
• Exponents and Radicals
• 1.2 (P. 21) # 7~14, 24, 31, 48, 50, 56, 59, 60, 69,75, 85, 92, 93. 
• 1.2 (P. 22) # 9~16; 19, 27;  40, 42; 48; 49; 57; 70; 77; 82; 92; *96; 106.
• Algebraic Expressions
• 1.3 (P. 32) Concepts Review #1~6. Exercises # 39, 49, 53, 73, 79, 85, 91, 108, 110, 113, 118, 125.
• 1.3 (P. 33) # 2, 4~8; 41; 52, 56; 67; 76; 81; 86; 93; 110, 112, 116, 120; 128; *134.

• These are the questions in the 6th edition in the scans (link at right)
• Rationals
• 1.4 (P. 41) # 8, 9, 13, 21, 33, 36, 57, 60, 62, 66, 69, 73, 74, 80, 85, 90, 101, 105.
• 1.4 (P. 42) # 12; 15; 33, 36; 58; 62, 64, 69; 73, 77, 78; 83; 89; 93; 97; 101.

• From now on, all questions (purple) are based on your paper 7th edition textbook.
  
• Solving Equations
• 1.5 (P. 54) # 10, 18, 25, 36, 39, 42, 50, 55, 59, 72, 75, 79, 82, 83, 86, 89, 93, 95, 101, 105, *111, 121, *123.
• 1.5 (P. 55) #11; 22; 28, 30; 38, 42, 44; 52; 57, 61; 78; 85; 91, 92, 101, 103, 110, 113; 118, 119, 122; *123~126; 129; 139; 140, *141.
• Word Problems
• 1.7 (P. 75) # 53, 59, 65, 76, 79, 87.
  

• Inequalities
  
• 1.8 (P. 89) # 33; 40, 46, 55; 69, 71, 73; 85, 88, *89; 92, 94; 97; 104; 105, 106; 110, 113, 121; 124, 125, 126, 128.
  
• Coordinate geometry
  
• 1.9 (P. 102) # 18, 20; 28; 33; 41; 45; 47; 53; 70; 93; 97; 104; 107, 109, 110; 116;  120; 121
  
• Lines
  
• 1.10 (P. 115) # 12; 19; 44, 48; 69; 82, 86; 92
  
• 2.5 Modeling with Lines (P. 197) # 42, 43, 47, 49.
  
• Variation
  
• 1.12 (P. 127) Concept #1~4; 19, 21, 25, 26; 35, 44, 45, 54
  
• Questions (mandatory)
• Q1) Prove the 3D distance formula by using the Pythagorean Theorem. 
• Q2) Explain where the equation of a sphere comes from.
• Q2)Why does a line have 180 degrees?
• Q3) Why does a triangle have 180 degrees?
• Memorize the chart in Library of functions worksheet (Check Library Answers)
• Bonus (extra credit below) Please mark bonus questions with a highlighter in your notebook! Otherwise, they might be overlooked and you won't get extra credit.
• B1) Bonus: (HW +5) Solve the inequalities a) and b). See the link  on the right.
• B2) Bonus: Prove that perpendicular lines have slopes that are negative reciprocals of each other.
• B1) (HW +5) Prove the quadratic formula by completing the square.
• B2) (HW +5) Show that the vertex of a parabola occurs at (-b/2a, f(-b/2a)) by changing y=ax^2+bx+c into form y=a(x-h)^2+k.
• B3) (HW +5. Not bonus anymore if I showed this in class) Eratosthenes of Cyrene used measurements taken in the cities of Syene and Alexandria during a summer solstice to estimate the circumference of Earth. Syene and Alexandria were estimated to be 800 km apart. At noon he noticed that a vertical post cast no shadow in Syene, while a vertical post in Alexandria did cast a shadow with an angle of
  1/50 of 360 degrees.Eratosthenes reasoned that the angle was equal to the angle at Earth's center, formed by the radii to the two towns (why?). Imagine you are Eratosthenes. What do you estimate the circumference of the Earth to be? Show your geometry.

• Functions
  
• 2.1 (P. 155) # 10; 14; 17; 25, 30; 33; 37; 44 & f'(a); 61, 65, 66, 71; 88.
  
• Graphs of different types of functions
  
• 2.2 (P. 167 Memorize the library before trying these problems) Concept 4. Exercise # 26, 28; 31; 42, 43, 45; 49, 51; 53, 56; 59, 60, 63, 65, 67; 82 & bonus to try to rewrite as ceiling(x); 84, 87.
  
• Max/Min
  
• 2.3 (P. 179) # 7, 8, 9; 22; 34; 43; 52, 53; 61.
  
• Rates
• 2.4 (P. 189) Concepts 9. Exercises # 15, 24, 23 & f'(a); 25; 27, 28; 31, 37; 39.
  

• 1.5, 1.7, 1.8, 1.9, 1.10, 1.12
• Library of Functions (Memorize and fill in a chart similar but not identical to your Library of Functions worksheet within 5 minutes) (Check Library Answers)

• Rates
• Not Bonus: this problem (B1 only) For the graph in the link, please find:

• Read Section 13.3 (derivatives). Read the 6 Examples

• Transformations
  
• Preferably use graphing paper
• 2.6 (P. 206) # 4; 14, 15, 17; 20; 25~28; 29~52 odd; 59~61; 63~68; 69; 72, 74; 75; 86, 87, 89, 90; 91; 95; 102~104.
  

• NOT BONUS: CALCULATOR PRACTICE
• 1.11 (p 121) # 3, 4; 8; 38; 50.
• Students who still need a graphing calculator also need to do this homework. Borrow someone's calculator or come after school, or use Desmos. You will be quizzed on TI calculator use. 
• Linear Regression. Use your graphing calculator. Turn in on paper: sketch or print out. Reference: Chapter 1 Focus
  

• Combinations
  
• 2.7 (P. 216) # 13; 17, 20; 21; 30, 31; 35, 37; 56, 57; 61; 65, 67; 69~72; 73, 74; 78; 84.
  
• Monotonic, inverses
  
• 2.8 (p. 226) # 6; 10, 12; 13, 16, 18, 19, 24; 25; 29; 33, 35; 45, 46; 57, 66, 68; 73; 80; 87; 90; 91; 94; 101, 104.
  
• Bonus: Prove that the inverse function's graph is the graph of the original function reflected across y=x.
• Bonus: Chain Rule. Derivative from peeling the 3-layer cabbage

• All No Calculator: Chapter 2 (but not the "focus" section yet)
• Remember how to transform step by step y=-Af(-Bx-C)+D. Review the Ch. 2 classwork.

• The questions marked with * are now optional and extra credit. Please highlight them or they might be overlooked.
• Ch. 2 Focus
  
• (P. 241) # 13, 17, 19, 23, 28, 31 . Classwork: 19, 21, 30.
  

• Parabolas
  
• 3.1 (P. 252) # 23; 31; 43; 49; 52, 65, 66; 67.
  
• Most of the classwork on parabolas and word problems is in the Chapter 2 notes  also listed above, pages 4~6 in the pdf.
• Polynomial Behavior
  
• Mandatory Questions
• Q1) Explain polynomial end behavior in words (why can you just look at the leading term?)
• Q2) Explain in words the shape of a polynomial near a zero (even odd power multiplicity)
• Q3) Explain why a polynomial of degree n has at most n-1 local extrema. Think about the local extrema of y= (x-1)(x-2)(x-3)
  
• 3.2 (p. 265) #  1~4; b 9~14; 23, 29; 35, 39; 54; 80, 81, *82, 84b, 85; 92
• Dividing Polynomials
  
• 3.3 (p. 273) # 8; 11; 33; 41; 55; 59, 60; 65; 67, 69; 71~74; 75, *76
• Bonus: Make your own example (different from other students) to a) explain the logic of polynomial division, b) how it relates to the long division method, and c) How the shorthand leads to synthetic division. use colors to trace the  number/calculation patterns. 

• * are extra credit. For 3.4, only the underlined questions need the complicated process (finding p/q candidates, plugging or using synthetic division until a zero is found, factoring out the rest and repeating). Others are factorable like in chapter 1.
• Real Zeros
  
• Please follow my hints.
  
• 3.4 (p 283) # 3, 4; 7; 13; 33 (factor by grouping); 61 (List p/q, try the smallest positive even, list p/q again on the resulting quotient, try the biggest even, list p/q again, try the only negative); 67, 68 Descartes, show the chart like in class; 71; 83 (quadratic in disguise), 84 (try -1 and what does descartes' say?), 86 (try -2, 1, then 0.5 and 1. synthetic says f(0.5) and f(1) with IVT implies ... what should you try next?); 106, *108, *109.
• Another hint: use a graphing calculator to guess which rational zero to try first! Use the upper/lower bound theorem and Descartes' rule to make conclusions.
• Complex Numbers
  
• 1.6 (p 64) # 23; 29; 41, 45; 50, 52; 57, 60; 67, 70; 77~84; 85, 86.

• * = extra credit
• Fundamental Theorem of Algebra
  
• 3.5 (p 293) [Hint: all but #15 are quadratics in disguise... # 9, 11, 13, 15, 17; 35, 36] ; 43, 45; 51, 61 (try the middle number in the p/q list that makes sense by Descartes' rule. That number has multiplicty 2) ; 62, 65 (grouping) ; 71; 73, *76.
• Rational Functions
  
• 3.6 (p 308) # 15, 17; 23, 25; 28, 30; 33, 37, 42; 53, 57, 60; 63; 74; 82; 92; *95.
• When sketching, show your steps as in class: 1) factor 2) domain and intercepts 3) asymptotes (divide if needed) 4) same-sign interval table of V.A. and x-intercepts 5) sketch.
• Polynomial and Rational Inequalities
•  3.7 (p 316) # 15; 31, 35; 44; 52.
  

• vertex is at -b/2a. vertex form. Complete the square.
• Complete the square for a quadratic with imaginary roots to factor it out.
• the number of extrema based on polynomial degree
• sketch a polynomial from multiplicity of factors and end behavior
• number of people is a linear function of ticket price. maximize revenue.
• remainder theorem.
• big question on following hints to factor a polynomial. 1+i --> 1-i is a root. A^2-B^2 to expand it quickly. Use long division, apply Descartes' and Rational Root Theorem, synthetic division,...
• Review the questions on the board. Find a polynomial with integer coefficients with given roots and P(2) = 3.
• Sketch a complex number, cycle of 4, prove z+z* is pure imaginary, that type of proof. There's a similar multi-part problem in your homework.
• Use synthetic division to sketch a picture based on parent y=1/x.
• Long problem on how to sketch a rational function, same-sign interval table.
• sketch from limit notation.
• chart on how to find the domain, vertical, horizontal asymptotes for a rational function.

• The questions marked with * are now optional and extra credit. Please highlight your bonus questions or they might be overlooked.
• Exponential Functions
• 4.1 (p 336) # 2; 10; 23; 25~26; 27~39 odd; 42; 51; 53, 63, 65, 66.
• Natural Exponential
• 4.2 (p 341) # 7~15 odd; 17; 24, 25, 27, 29, 35.
• The Definition of e: Illustrate the definition of the number e by graphing the curve y = (1+1/x)^x and the line y=e on the same screen, using the viewing rectangle [0,40] by [0,4].
• Logarithms
• 4.3 (p 351) # 4; 7; 9, 10, 15; 17, 19, 22, 24; 25, 29, 31, 32, 33, 34; 41, 43, 44; 47; 55; 57~58, 59; 61~71 odd; 73~77 odd; 85, 87, 88, 90, 91, 93, 95, 96, 101. (Bonus: *102~*105 without a calculator)

• Bonus Proofs
• + 5 points: B1) 3.4 #97 109 Proof of Upper/Lower Bound Theorem,  *108 *108 The Cubic Formula
• +5 points: B2) Pg. 253 276 The other half of the proof for the Rational Zero Theorem. (Prove that q is a factor of the leading coefficient)
• Bonus: * Is there an intuitive way to 'prove' Descartes' Rule of signs?
• More Bonus (3.3) for non-programming students:
• B1) Use the IVT to show f(x) = -x^3 + 2x -1 has a zero in [-2, -1]. (+5 points if it is logical)
• B2) Use the IVT (and explain how the IVT is used here) to estimate the square root of 3 to within 0.005 of the actual answer. (+5 points if it is logical) Also explain why estimating up to the 2nd decimal place means 0.005 accuracy.
• Hint: p 263 276 Zeroing in on a Zero
• Bonus (3.3) for programming students: IVT Square root finder.
  + 10 points: Write a program that runs to user-specified accuracy. Submit your code on Google Classroom.

• Please highlight your bonus questions or they might be overlooked.
• Laws of Logarithms
  
• 4.4 (p 359) No calculator # 13, 15, 17, 19, 21; 29, 37, 44, 45, 48; 51, 53, 56, 57; 59, 67; 70, 71; 74; 76, 77, 78.
• Exponential and Log Equations/Inequalities
  
• 4.5 (p 368) # 1, 2; 21, 29, 31, 33, 37; 41; 47; 49, 53; 61, 65; 69, 71; 77, 78; 79~82; 83, 85; 87, 88; 91, 97, 101; *103, *104, *105.

• Exponential Model
• 4.6 (p 378) # 3, 5, 9, 12, 16, 17, 23, *28.
• Please highlight your bonus questions or they might be overlooked.
• Focus on Modeling Cannot skip any word problems. Read Examples 1 and 4. Show your scatter plot and curve on labeled axes. Show the modeling function and how you plugged numbers. You may use Desmos. Please sketch what you see onto your paper.
  
• (p 398) # 1, 3, 5, 9, 10.
• Exponential and Logarithmic Models. Cannot skip any of  these word problems.
• 4.7 (p 385) # 3, 11, 20, 21.
• Ch. 4 Bonus:
• B1)
• In Section 4.6 Example 5, a student asks: why isn't r = 1/40? His reasoning: After 40 minutes, the amount has doubled, so that means we have gained 100% of the original. So, after 1 minute, shouldn't we have gained 1/40th of the original? Isn't that what relative rate means?
• a) Why do you think they think it's 1/40?
• b) What is the correct r?
• c) Without a calculator, determine if the student's 1/40 is an under or overestimate. Conceptually explain how it makes sense that 1/40 is an under or overestimate.
• B2) In Section 4.6 Example 4, 
• a) According to the model with r = 1.4%, what was the world population 100 years ago? Compare this with any census information that you can find online. Cite your sources. 
• b) How did the book get 2801 for the year of standing room only?
• c) Describe a more reasonable model (logistic growth parameters with a sketch) to model world population. What is the carrying capacity of our Earth and how soon will we approach that limit? Cite your sources.

• Evaluate expressions, sketch, find the domain and inverse, log rules, true/false and correct if false, simple interest meaning, logistic growth y-intercept and asymptote, phoenix, half-life/doubling-time base e and base 2, intensity *2 = decibel +3; intensity*10 = decibel+10, solving lots of equations/inequalities with exponential and logs.  Review the class work from the board. Study your homework too.
  
• I decided to make the Chapter 4 Focus on Modeling bonus. power versus exponential growth: which model is better and why.
• The calculator quiz is later, since you may need the full 85 minutes for the chapter 4 test.
  

• Please remember to get checkmarks for the programming activities
• For desmos, please share the link. Make sure your name is on it and the title shows the topic
  For colabs, please download it as .ipynb and then upload it to Google Classroom. Make sure it's called pyIntro_yourName
  
  Please remember to get checks afterschool:
  You will need these checks:
  1) foot-height linear fit
  2) semi-log ch 4 focus #9 regression
  e)  for fitting e^x with sigma of polynomial on Desmos
  3) pyIntro_yourName
  Homework #1 if-else statement in python code
  Homework #2 for-loop
  Homework #3 penny for-loop
  Demos: y=1 million and y= sigma of accumulated pay to check the answer to the penny for-loop
  
  Bonus: Pythagorean triples

• Mandatory: Sketch 2 curves with the requested window scaling. Find the max, min, intersections to solve when f1(x) > f2(x)
• Bonus: Fit a line to a scatter plot. Find the derivative, area under the curve of a function.

• Memorize the Angles Chart (5 minutes)
• All Students Take Calculus inequalities
• Solve |sinx|=1/2 type of question.

• Calculator section: Review what we discussed in class. 15 minutes. If you do not have a graphing calculator, please borrow someone's. NO SHARING during the quiz! 
• Mandatory: Sketch 2 curves with the requested window scaling. Find the max, min, intersections to solve when f1(x) > f2(x)
• Bonus: Find the derivative, area under the curve of a function. Fit a line to a scatter plot.

• Please highlight your * bonus questions or they might be overlooked.
• Unit Circle: No Calculator. Show the reference triangle in the quadrant.
• Unit Circle
  
• 5.1 (p 407) #11; 17; 21; 25 34; 39; 46~48 54; 55~58; 59.
  
• Trig functions of Reals
  
• 5.2 (p 416) #3; 9, 14, 17, 20~22; 33~35; 38, 44; 47; 50; 56, 62; 69; 73, 77, 78; *83, *84.
• Angle Measure
• 6.1 (p 478) # 1~4; 7; 23, 27; 29, 32; 37; 41, 45; 50; 53, 56, 61; 63; 71, 74; 75, 77, 80, 87, 92, 93, *94.
• Right Triangles
  
• 6.2 (p 487) # 1, 2; 9; 17, 19; 21, 22; 23, 24; 31, 32, 36; 43; 47, 51, 52; 55, 61, 66; *67~71.
  
• Bonus:
• B1) Prove the Pythagorean Theorem
• B2) Prove the similar triangles in our discussion of why centripetal acceleration is v^2/r.

• Trig functions of Angles: No calculator. Show reference triangle in quadrant.
  
• 6.3 (p 498) # 1~3; 5, 9, 11; 13, 19, 21, 25, 27, 31, 33; 37~40; 42, 45; 47, 51, 53; 59, 61; 64; 69, 70; 74.
• Graphs of Sinusoids: 
• Read 5.3 Examples 6, 7, 8, 9, 10. Similar questions could come up on the quiz B.
• 5.3 (p 429) # 17; 28, 31; 41, 44, 45; 47~53 odd; 67,  71::  75, 76,  *81, *82, 83, 84, 88, *89.
  

• Evaluate expressions, sketch, find the domain and inverse, log rules, true/false and correct if false, simple interest meaning, logistic growth y-intercept and asymptote, phoenix, half-life/doubling-time base e and base 2, intensity *2 = decibel +3; intensity*10 = decibel+10, solving lots of equations/inequalities with exponential and logs.  Review the class work from the board. Study your homework too.
  
• I decided to make the Chapter 4 Focus on Modeling bonus. power versus exponential growth: which model is better and why.
• The calculator quiz is later, since you may need the full 85 minutes for the chapter 4 test.
  

• Simple Harmonic Motion
  
• 5.6 (p 456) # 13; 17; 21; 29; 35:: 39, 45, 46, 49, 51, 53, 54, 60.
  
• Use Desmos to
• 1) Make the scatter plot  for and wave fit Ch. 5 Focus (p 469) #5.
• 2) Show AM  (recreate 5.3 example 9 with the envelope)
• 3) Show Damped oscillator (page 451 figure 12 b with envelope)
  

• Graphs of non-sinusoids:
• For graphs, show the axes labeled and the 5 important points/asymptotes and amplitude.
• 5.4 (p 438) #3~8; 26; 42, 49, 54, 59 61, 62, *64.
• Identities Intro.Memorize the trig IDs (see link at right)
  
• Basic IDs
  
• No skipping for 7.1
  
• 7.1 (p  542) #  4, 8, 10, 12; 17, 23; 33, 38, 40, 42, 43, 44, 57, 59, 60, 63, 65, 67, 71, 73, 81, 83; 93, 94:: 100, 104 105, 109.
• Inverses. See skipping rule.
  
• 5.5 (p 444) #  3, 5, 7, 9, 10; 15, 21; 23, 24, 35, 38, 39, 41, 45, 46; 51.
  
• 6.4 (p 507) #  31~33; 35~38; 41; 46.
  
• Bonus: Prove that there is no problem with +- signs when using the triangle method for S(arcT(x)) (This is mentioned in the last paragraph of Section 6.4)

• 6.1~6.3, 5.1~5.2 Unit Circle, right triangle; Know the angles well, label the angles on a circle in radians and degrees, s=r*theta, A = 1/2*r^2*theta, v = rw, right reference triangle problem similar to the 3 done in class, All Students Take Calculus, find the reference angle.
• 5.3~5.4, 5.6 Graphs and SHM
• 5.5, 6.4 Inverses
• 7.1 ID intro, Trig Worksheet
• Trignometric Functions, Simple Harmonic Motion, Basic Identities.
  Based on the Winter Trig '5 and 6' worksheets.
  Bonus: Memorize all IDs listed in class. See link at right.

• Install Octave on your laptop and bring it as announced in class.
• Octave for Mac
  
• Install Desmos on your phone: GooglePlay, iPhone

• +- IDs
  
• 7.2 (p 551) # 6, 9, 11, 13; 15, 17, 19; 29, 40, 42; 49; 52, 53; 55; 62; 63; 69, 70, 73, 75, 76, *77, *78.
  
• More IDs
  
• 7.3 (p 561) # 5, 7, 9; 13, 14; 25, 26; 29, 31, 33, 34; *38, 40; 47, *49, 50; 51, 52; 55, 59, *58, *60; *61, 64, 65; 69, 70, 72; 73, 77, 83, 91, 92; 97, 100; 101, *110, 113, 115.
• Basic Equations
  
• 7.4 (p 569) TRY ALL # *28, 32, 33; *41, 44, 53; 57, 58, 60.

• More Equations
• 7.5 (p 574) TRY ALL #  3, 7; 27, 30; 36; 39, 42; 43, 44, 46; 56; 59; 65, 66.
• Traveling Waves
  
• (p 584) # 1, 3, 4, 6, 7, 8. For # 1 and 4, just sketch the waves for the first 2 times. No skipping focus section.
  

• Bonus:
  a) Explain why f(x)=sinx/x has the x-axis as an asymptote.
  b) Use the limit of the difference quotient and the fact that f(x)--> 1 as x-->0 to show that the derivative of sinx is cosx. Hint: You will need a trig identity to expand; also, use a calculator to graph (cosx-1)/x to figure out a limit that will appear.
  c) Do the same thing to find the derivative of cosx.
  Hint: 7.2 #61

• DO NOT SOLVE. Just say Law of sines or cosines for these:
  
• p529 # 69~74; p532 #13~16.
  
• Solve these:
• Law of Sines
  
• 6.5 (p 513) # *8; *15; 23, 25, 26; 29; 39; 43, 45.
  
• Law of Cosines
  
• 6.6 (p 520) # *5, 10; 17, 18; *23; 29; 35, 37; 44, 45, 46, 51.
  

• Triangulation
• ch 6 focus (p 534) # 3, 4.
• Bonus: Prove Heron's formula
• Bonus: Is more than one solution possible in the Law of Sines? Why? Is more than one solution possible in the Law of Cosines? Why?

• Ch. 7 Review (P. 530) # 1, 5, 6, 7, 10, 15, 20, 24, 25, *33, 34, 38, 39, 41, 43, 44, 50, 51~60, 61, 63, 66, 67, 69. (Do this as homework instead of classwork)
• Start HW #21 to better prepare for your test on Tuesday.

• Chapter 7  Identities and Equations. Overall Trigonometric Quiz. Study your Chapter 7 Review Homework.
• Standing Waves
• 6.5~6.6 Law of Sines and Cosines, Non-Right Triangle questions.
• Apply the IDs up to the "Formulas for Reducing Powers". tangent is optional. Questions will be chosen from hw problems in 7.1~7.3, such as cos(195degrees).
• List out the half-angle, product-to-sum, and sum-to-product formulas. Memorize them easily using the techniques discussed in class.
• Right triangle technique to evaluate expressions such as sin(arctan(-1)+arccos(1/2)). Remember to draw the right triangle in the correct quadrant.
• Asinx + B cosx = ?sin(?+x). See p. 549~550. Draw a right triangle to see where the formula comes from.
• Solve a trigonometric equation. Examples were written in class. Remember k360 or k180. (7.4~7.5 main ideas)

• Acoustic beats python lab.  Use the previous python sound notebook as a reference.
• Turn in this notebook on Google Classroom. The file name is acousticBeats_yourName.ipynb
• At the top of the code, create a variable n = how many beats per second you want to hear. The rest of the code will use the variable n.
• Create y1(t) that is 440 Hz. Play this sound.
• Then create y2(t) that is 440+n or 440-n. Play this sound.
• Create y3(t) = y1(t) + y2(t) Play this sound. You should hear n beats per second.
• y4(t) = the identity expression.  Play this sound. It will sound the same as y3(t).
• Now pretend y1 is only 10 Hz. Use Desmos to sketch y1, y2, y3, y4. Please take a screenshot of them all, along with the expressions, and paste it into the notebook. Also include the link to the desmos in your notebook.

• Polar
• 8.1 (p  592) # 11~27 odd;  31, 35; 40, 43; Cannot skip these: 45, 46, 47, 50, 51, 53, 54, 56, 58, 63, 67, 68, 69. Bonus: *71.

• De Moivre: Remember to use PHASORS instead of the book's polar when showing your work!
• 8.3 (p 610) # 11, 13; 16; 18; 19; 26, 27, 28; 34, 35, 38, 39, 40, 42, 43; 49, 51, 53; 
• Cannot skip these: 59, 63, Use symmetry like example 8 when you can: 67, 75, 76, 78, 81, 86, 89 reuse 78, 90;
•  Bonus: *93~101.
• B1) Prove using standard form that (z₁/z₂)* = z₁*/z₂*.
  B2) Prove using phasors that (z₁z₂)* = z₁*z₂* and (z₁/z₂)* = z₁*/z₂*.
  B3) Prove the generalization of the triangle inequality using induction (or just your logic).
  B4) Prove the last line on pg. 605 using polar (not phasor) form. "The proof of the division formula is left as an exercise."
  B5) Prove arg{1/z} = -arg{z} using standard form and using phasors.
• B6) Prove the statement on page 274 292 in Cardano's biography note: 'This value for x actually turns out to be the integer 4'. That is, (2+(-121)^0.5)^0.3333 + (2-(-121)^0.5)^0.3333 = 4. Use phasors to prove it! Also try page 263 286, Exercise 108.
• B7) Derive the k and phi expressions on page 550 sum of sines and cosines, but using PHASORS.
  

• Parametric
• 8.4 (p 617) # 11~14, 24, 25; 30; 33, 36, 37; 47; 49~52 and why; 57, 58, 70.  Bonus #63, 66, 69.

• Finish the heart worksheet
• Cycloid Parametric curves. Mandatory! Use the Desmos cycloid example, modify it, and send your link through Google classroom. Save your desmos as: cycloid_YourName.
  
• Mandatory to make these modifications and use these variable names appropriately
• w = 0.5 rad/sec (how fast the dot moves)
• A = 2 (radius of the wheel)
• u = the variable that gets a play button for the dot.
  
• t = the variable that sets up the path that the dot traces
• Bonus: make the cyloid go vertically down the left side of the y-axis
  
• Here is the class example about how to animate a dot with its path
  
• Lissajous Parametric curves. Mandatory! Please use Desmos, and send your link through Google classroom. Save your desmos as: lissajous_YourName
• (x(t), y(t)) for Lissajous figures. x(t)=Acos(f_1 t) and y(t)= Bcos(f_2t+p)  are sinusoidal functions with different frequencies. Your Desmos should allow the user to input 2 different frequencies to see the figures. Put in a play button for p so that you can see the figure from different perspectives. Your desmos should be like this video.    lissajous music      
  
• Physics bonus! Make lissajous with sand, with oscilloscope, with laser and speakers!  lissajous sand      lissajous oscilloscope         lissajous laser2
  

• Polar Graphs: 
• 8.2 (p 600) # 3~8; 11, 14, 15, 16; (17~44 only sketch the pattern you memorized from the pink worksheet), (30, 36, 42, 47, 49, 51 actually show your steps with r(theta) vs. theta, the numbered traces, the direction arrows. See P. 8 of Chapter 8~9 Polar/C/Vectors  ), (Give non-calculator reasons: 53~56), 58, 59, 63, 65.
• Bonus:
• B1) Prove that a circle with diameter on y-axis is r=2asin(theta). 
  B2) Prove why a triangle inscribed in a circle with diameter as a triangle side must be a right triangle.
• On test day, turn in Polar worksheet. See P. 8 of Chapter 8~9 Polar/C/Vectors

• 8.1~8.3 Bring heart worksheets, ch 8 homework papers. No electronics, no calculator, no book.
  
• Convert between rectangular and polar coordinates and equations.
• Standard, phasors, and polar form. Multiply, divide, take power, take roots of complex numbers.
• 8.3 Complex, DeMoivre. Hints: Review...
• Sketch on the complex plane e^(i3pi/2).
• Take a standard complex number z and change to phasor form, polar form, find |z|, arg{z}, Re{z}, Im{z}, z*, z^10, z^(1/10). Sketch the roots on the complex plane and write the roots in rectangular form.
• Multiply and divide z1 and z2 by phasors
  
• Sketch polar graphs by their library chart.
  
• Complete the square to find the equation of a circle.
• Draw a polar graph. Show your steps with r(theta) vs. theta, the numbered traces, the direction arrows. See the worksheet answers Chapter 8~9 Polar/C/Vectors Notes Pages 7~8
• (Parametric 8.4 will be with the Chapter 9 test)
  

• Part 1 Wednesday morning in class,  10 minutes, closed book, no calculator, about r vs. theta sketching, similar to 8.2 homework and the heart worksheet.
• 8.2 Polar Library of Curves
• Convert between rectangular and polar coordinates and equations.
• Complete the square to find the equation of a circle.
• Sketch r vs. theta to sketch a polar graph. See the worksheet answers Chapter 8~9 Polar/C/Vectors Notes Pages 7~8
• Memorize limabeans, roses, etc. See the Notes Pages 7~8.

• Part 2 albert.io, at home, open book. Please check to see which test your are assigned! Your link is in the email.
  Be prepared to finish in one sitting. Time limit 85 minutes, will auto-lock
  Show your work on paper. Please number each question and turn it in on Thursday morning. BE CAREFUL to click submit for EACH question and not just at the very end, or else the questions will be unanswered and marked wrong!
  Albert.io PolarParametric_Test_ch8 due 2/24, 11:59 pm 
  
• 8.1 Polar conversions for coordinates and equations.
• (8.1~8.2) 8.3 Polar, Graphs, Complex, DeMoivre. Hints: the following questions will be on the quiz.
• Sketch on the complex plane e^(i3pi/2).
• Take a standard complex number z and change to phasor form, polar form, find |z|, arg{z}, Re{z}, Im{z}, z*, z^10, z^(1/10), sketch the roots on the complex plane and write the roots in rectangular form.
• 8.4 parametric curves
  

• Ch. 8 Review (p 622) # 2~12 even; 13~24 all; 27. 

• Vectors 
• 9.1 (p 637) #  8; 12; 35; 39; 46; 48, 49, 51; 55, 59, 64, 67, 71, 72, 73.
• 3D Geometry
• 9.3 (p 652) # 5; 9; 12; 22; 23, 24. 

• Vector Fields
• Ch 9 Focus (P. 626 p 678) # 5, 10, 11~14 and why, 15~18 and why.
• Dot Product
• 9.2 (p 646) # 6, 9; 18, 19; 21, 23, 24; 28; 33; 38; 40~44; 50, 52, 53.
• 3D Vectors
• 9.4 (p 658) #  7; 11; 15; 19; 29; 35; 47, 48. Bonus: *49~51.

• Cross Product
• 9.5 (p 665) # 3; 9; 14; 17; 25; 29, 34; 35. *37. 
• Line and Plane
• 9.6 (p 669) #  8; 15; 21;27; 34; *35, *36, *37.

• albert.io Vector_Test_ch9 due 3/10, 11:59 pm
• Be prepared to finish in one sitting. 34 questions, Time limit 130 minutes, will auto-lock
• albert.io, at home, open book. Please check to see which test you are assigned! Your link is in the email.
• BE CAREFUL to click submit for EACH question and not just at the very end, or else the questions will be unanswered and marked wrong!
• Show your work on this paper, by filling in the boxes in order. Turn it in on Thursday morning.
• Show your work like you would in a regular in-class test as if you did not have a calculator. The calculator is only used for basic arithmetic, not for skipping the steps. You should still be showing triangles in quadrants and indicating sine and cosine when necessary. Also show how you set up the dot and cross product (determinant expansion).
• Please note:
• Before you begin, ,make sure you have studied and are familiar with the visual concept of what dot and cross products are. Many questions do not directly ask about calculating the dot or cross product; you need to decide which to use (for example, being orthogonal means dot = 0, or the height of a parallelogram is sine, or area of a parallelogram is magnitude of cross, etc.)
• Some of the questions might use (2,3) to represent a vector instead of the notation we used in class of <2,3>  
• What are symmetric equations for 3D lines?
• If the parametric representation of a line is x=2+3t, y=1+2t, z = 3+4t, 
• then the symmetric equations are t = (x-2)/3 = (y-1)/2 = (z-3)/4
• The complement of a set A means everything NOT in set A

• Standing Waves/Trigonometric Survey Activity
• Bonus + 10 HW points: Beat Frequency See http://en.wikipedia.org/wiki/Beat_frequency
• On Google Classroom, A) send a link to a sound wave with beats to hear. Analyze it. B) Do a screenshot of Desmos showing 4 formulas and pictures: one wave, another wave of similar frequency, how they add up to give an envelope and carrier.

• Take the Official SAT Math Level 2 Exam. Bring your CollegeBoard transcript to show you earned
• 800 --> + 12 Test Points
• 750 --> + 6 Test Points
• 700 --> + 3 Test Points
• + 3 Test Points for each practice test done, with work/corrections shown for each problem (limit 1 every 2 weeks). Show me one every 2 weeks; you may not accumulate and show 4 at once after a few months.

1. Standing Waves (this was done in class)
   
• Use the measurements we took in class with the generator. Desmos: screenshot with the formulas shown, and a link to your desmos graph. 
• Derive the standing wave formula using the trig ID.
2. Nyquist Sampling Theorem
• What is it? Show the conceptual picture of 2 aliased sinewaves, with numbers.
• Where does aliasing occur? Describe applications, the examples shown in class.
• Describe the wagon wheel effect. Desmos: screenshot, formulas, link.  a) What are your settings so that the dot makes one circle per second? b) Animate it so that the dot appears to be standing still, going backward. Describe how you controlled the speed of the dot, how it is related to the minimum sampling rate, and what your computer's frame rate is.
• Basically, research Nyquist and aliasing and be able to explain it to me. Interesting links that may help you understand are in links at the right: wagon wheel effect, strobe and fountain,...
  
3. Musical beats (hearBeats.m)
   
• Finish the code. Play one sound using y1+y2. Play an identical sound using the formula from the trig ID. Make sure you show the trig ID in your report. You need to demo this.
• Desmos: show y1, y2, y1+y2, and the formula for them. Screenshot of picture, formulas, and include link.
  
• I will ask you to explain beat frequency from the graph: carrier in a modulating envelope.
  
• Hint: Wikipedia Beats (acoustic)
4. Dual Tone telephone call (dialPhone_mac.m)
   
• Hint: See page 517 #108. Wikipedia Dual Tone
  
• Finish the code. You need to demo this. For your given number, you must follow the hint above and use an ID to make your dual-tone waveform. You may not just y1+y2 to generate the sound for your assigned number.
• Desmos: equations, graphs, links.
5. Law of Sines in Surveying... smoke detector/UFO (This was done in class)
• The smoke detector is a flying UFO that is not moving. Under it, is a river full of alligators. You may only use the land on the side of the river. You have a theodolite and a meter stick. How high is the UFO above ground level?
• Screenshot of your calculation with percentage error from real height. Hint: See page 491 #4.

• audio_precal_YourName (folder).  
• Report_YourName (PDF) ... not formal, just relevant info
  
• playSine.m % Your name in comment for each code file!
• hearBeats.m
• dialPhone.m (the GUI does not work on mac)
  
• dialPhone_mac.m
  

• + 5 test points (+5 more if you can actually show me Lissajous on our analog oscilloscope)  Lissajous figures: lissajous sand      lissajous laser       lissajous oscilloscope         lissajous laser2        lissajous music       more music
• +5 test points: Cycloid - this one is already searchable online. If you choose this, you must modify it so that the wheel size is different, it rotates clockwise, and it goes vertically up the page instead of horizontally across.
• Spirograph: examples, Lego
• Projectile motion - use actual physics values from lab data
• Helix: wikipedia 
• Other ideas are also acceptable, but they must involve parametric curves, shape, speed, direction; and it must be more complicated than an ellipse. There are many geometric problems in your textbook, e.g. Witch of Agnesi.

• Complete this programming assignment (in C++ ).  You will receive a Chapter 10 Test grade based on this program.
• Download the .rar (click Linear Algebra Program at right) and extract it. All information is in the starter code la_toFill.cpp (la stands for linear algebra). Please replace the 'toFill' in the title to your name. For example, if your name is Gauss, your source code should be called la_gauss.cpp, all lower case. You will upload your la_name.cpp to GoogleClassroom. Note that the text files A.txt, B.txt, etc need to be in the same folder as la_toFill.cpp. Go to terminal and cd to the directory, then
• g++ la_toFill.cpp -o la_toFill      (will compile into executable la_toFill)
• ./la_toFill    (will run it)
• There will be 2 Wednesdays to ask questions: April 12, and April 19. Please aim to finish most of your program by April 19. The due date will be set to April 19 on GoogleClassroom. (Just in case you still have questions, ask that week and finish over the weekend). Please demo your program on April 19 during class, or make an appointment afterschool on Monday April 24, Wednesday April 26, Friday April 28. The hard deadline for all projects to be turned in is Tuesday April 25, regardless of whether you have demo'd yet.
• The answers that you should get are displayed in sampleAnswers.pdf. Right now, the program runs but without correct outputs. Follow the hints and fill in code wherever it says 'Your honest work here..." Read through the whole program first and make sure you understand it. All data is stored by the class Matrix that is written at the top of the file. The main is already written for you. Just fill in the functions so that the outputs are correct, and know how to make changes in order to run solutions for questions I'll ask you on demo day.
• Project 1 students need to fill in the functions
• operator+
• operator-
• operator*
• operator*
• operator*
• operator^
• det
• Project 2 Students need to fill in the functions
• swap
• multiplyRow
• linearCombo
• rref
• inv
• operator^ (with -1 on rhs, right-hand side)
• On 'test/demo' day, you will be asked to run your la_name.cpp on a new set of data in A.txt, B.txt, etc. 
• You will be asked to solve problems on demo day, and you will need to set up the matrices in the text files and use your program to run the solutions. 
• Project 1:  Your 'quiz' will include setting up a Markov transition matrix, word problems about the meaning of matrix multiplication or arithmetic, and how to use Cramer's rule. Then use your program to find the product, sum, or determinant to answer the question.
• Project 2: Your 'quiz' will include solving a system of 10 equations in 10 unknowns, or a system of 10 unknowns in 12 equations that has no solution or infinitely many solutions. You should tell me what the solution set is based on what your program runs. 
• Actually, maybe I'll set a Wednesday for everyone to run their programs at the same time, but every student will have a different set of word problems to do!
• Bonus: det_gauss(A) -- Calculate the determinant of a 10x10 matrix by first using row combinations to simplify to upper triangular form (similar to Gauss but be careful about scaling the rows), then taking the product of the diagonal. 

• correct solution at demo
• understanding of algorithm in code structure
• if n students have 'collaborated', your score is at most 100/n

• Project Progress will be checked. Bring your laptop.
• Project 1
  Matrix operator+(Matrix lhs, const Matrix& rhs); //input 2 matrices of same dimensions. Output their sum
  Matrix operator-(Matrix lhs, const Matrix& rhs); //input 2 matrices of same dimensions. Find their difference
  Matrix operator*() 
• Project 2
  Matrix swap(Matrix A, int r1, int r2); //elementary row operation: swapping rows
  Matrix multiplyRow(Matrix A, int row, double scalar); //elementary row operation: scalar multiple of a row
  Matrix linearCombo(Matrix A, int r1, double scalar1, int r2, double scalar2);
• Project 3
  # 2, 3, 4, 6, 7, 8. Hint: See Kreyzig.

• For students who finished their Chapter 9 Test corrections before spring break, your grades have already been pulled up in PowerSchool.
• Only for students who were absent on ERB day and coudn't come after school to do test corrections: please complete an albert.io assignment about vectors/parametric at home, showing work. Turn in your work-paper on Monday morning, and you will gain test corrections credit. This replaces correcting the actual test paper. Every 3 questions answered correctly with work shown on paper = +1 to your test grade. Note: no late submissions, and no work = no credit.

• Number your work from 1~34 based on the order it appears in the albert.io solutions.
• Use a different color pen to correct the errors.

• Cannot skip questions this time!
• Linear Systems in 2 variables
• 10.1 (p 688) # 45, 49; 53, 56, 57. 
• Just use a calculator rref for these but show how to set up the augmented matrix and interpret the rref result: 65, 69, 71, 73, 75, 76. 
  
• Bonus # 77.
• Linear Systems in several variables
• 10.2 (p 697) # 3, 5; 11; 14;
  
• Do Gauss-Jordan elimination by hand for 27,
  
• Just use a calculator rref for these but show how to set up the augmented matrix and interpret the rref result:  29, 33, 37; 41, 45, 48.
  
• Bonus 49.
  
• rref Read Examples 3~4. Please get all into rref (i.e. Gauss AND Jordan), unless the triangular form after Gauss-only already shows there is no solution. 
• 10.3 (p 709) # 5~11; 13~20 ab only. skip c; 33; 43; 57, 62 write the solution set in 4 ways; ok to use calculator rref for the next two: 73, 75.
• In this section you may NOT skip (33; 43; 57, 62) which must be done by hand with Gauss-Jordan
• For # 23 and 52 (33 and 62), get into reduced row-echelon form and show your elementary row operations above the arrow at each step, as we did in class and as shown in Examples 3~4 in 10.3. For the others, work only counts if you use augmented matrices and get row-echelon form. Those do not need to be reduced row-echelon form (see p. 652 p 702).

• Matrix algebra
  
• 10.4 (p 720) # 6; 10, 11, 13, 14; 19; 24b, 30b, 32a; 44, 45; 49; 51, 53b, 54b, 56b, 57, 58b, 59 just interpret, 60. Bonus: # 52, 62, 63, 64.
• Bonus) Prove formula for inverse of 2x2 matrix (P. 674 p 725)
• Matrix Inverse
  
• 10.5 (p 732) # 4; 15, 21, 23; 41, 44; (CALC OK for these two. Describe how you used the calculator: 51; 54) , 55, 56, 58, 59, 60. Bonus # 64.
  
• Mandatory question: Write a paragraph explaining the reasoning that leads to the general inverse method on p. 674 p 726.

• Determinant, Cramer
  
• 10.6 (p 742) # 1, 2, 3; 10, 11; 19; 22, 28; *35 (you must replace row3 with row3-row2), 38 (must replace c1 with c1+2*c2); *39; 43, (56 calc ok but show what you set up); 61, 62, 63, 65, 66, *67, (calc ok but show setup: 71, 73) , *74, *75, *76.

• Partial Fractions
• 10.7 (p 750) # 6, 8, 9, 11, 12; 26, 28, (CALC OK for the following: 36, 40, 43); 45, 46.
• Spring Video
  
• Write the examples in the video
  
• various inequalities 
  
• oxfords and loafers 
  
• ch 10 focus #16 
  
• ch 10 review #112

• Nonlinear systems (read the book and self-study this. It's a review from Algebra)
  
• 10.8 (p 754) # 7; 13, 17; 29, 31; (CALC ok 37, 39). Bonus # 41~44.
• Inequalities
  
• 10.9 (p 764) # 22; 27~30; (Don't need to find vertex, just sketch and say bounded or not for: 34, 47, 54, 55, 58), 72.
  
• Linear Programming P. 716 (p 779) # 1, 3, 6, 8 (as shown by desmos and sheets), 13, 15 (e vs. g, u vs. g, and e vs. u), 16.

• Sequences and Series
  
• 12.1 (p 850) #  12; 18, 20;  30, 35; 45, 46; 51; 57; 63, 66; 70, 72, 73; 75, 78, 80, 81, *82. Bonus: Derive explicit (not recursive) formulas for 81a, 78a Compound Interest, 80a Paying off Debt 
• Arithmetic Seq
  
• 12.2 (p 856) #  15; 24, 26; 32; 41, 44; 45, 47; 55; 58, 62, 63; 68; 73 both explicitly and recursively, 75, 76, 77.
• Geometric Seq
  
• 12.3 (p 864) # 19, 21; 26, 27; 37; 48; 54; 74 in 2 ways, 75; 80 in 2 ways, 82; *84; 85, 86, 88, 90, 92, *95, 99, 100, 103, 104.

• Bonus) Use sigma notation to write the method for expanding a matrix in terms of cofactors and minors.
• a) using ith row expansion
• b) using jth column expansion

• Start on your Chapter 10 program (see above) if you opt for it. The Chapter 10 Test is the day this is due.

• *Bonus question: Write a paragraph about AI NN. Describe the logit, parallel processing, meaning of subscripts, what is softmax, cross entropy.

• Induction
  
• 12.5 (p 878) #  7; 15, 21, 25, *26; 38.
• Binomial Formula
• 12.6 (p 886) # 11; 19, 21, 23, 24;  31, 32, 37, 41, 42; 44, 45; 47; *49, 53, 56, *57, 59.
• Bonus: Use #47 #47 to find the equation of the line tangent to x^3 at x=2. Hint: difference quotient.

• Skipping Rule Reminder: 
• Complete at least the last question from each square
• canNOT skip: Matching, Skills Plus, Applications, Discuss/Discover, Focus sections, word problems, calculator symbol problems.
• Highlight bonuses or they will be overlooked.

• Finish the question that was on the board, sketching a function with the conditions listed.
• Limits Pictorially/Numerically
• 13.1 (p 905) # 20; try to give a logical reason besides a sketch: 22, 23, 25, 28; 33, *34. 
• Limits Algebraically
• 13.2 (p 913) # 3; 19, 28; 39, 41, 44; 47, 48, 49. How does #39 clarify the Main Limit Theorem? 
• Limits at Infinity
• 13.4 (p 930) # 1, 2; 3, 4; 5, 9 the way shown in Ex2, 15, 18; 19~22 logically why ; 28, 29, 32, 34; 35, 36, 37, 38, 40, 41.

• Difference Quotient
• Everything should be done the long way (alternate practicing with the 2 types of difference quotients). Also use the shortcut to check your answers.
• 13.3 (p 921) # 1, 2; 25; 27; 32, 32~36, 41, 43, 45, 46.
  
• Riemann Sum
  
• 13.5 (p 938) # 4; and use the limit of rectangles (right-endpoint Riemann Sum) for:  6, 8; 20.
  Chapter 13 Review (P. 881) #1~47 ODD only. 

• Parabola
  
• 11.1 (p 788) # 5~10; 53, 55, 56; 61.
• Ellipse
• 11.2 (p 796) # 5~8; 29; 49, 55; *64, 67, 68, *72.
• Hyperbola
• 11.3 (p 805) # 5~8; 30, 32; 54, 56, 57, 58, *59, *60.

• Conics Worksheet 
  
• Translation
• 11.4 (p 814) # 29~34; 47, 48, 51, 53, 55, 57, 58; *62, 63, 66, 67, *68.

• Rotation Matrix
  Write your solution in the study guide p.7.  ~  finish what we started in class:
  
• 11.5 (P. 764 #20)
  
• 11.5 (p 823) #19.
  
• Bonus: 11.5 # 38  #38 (+12 HW points) Show invariance under rotation of B^2-4AC
• Polar Form of Conics
  
• (CW +10 Points) Page 2 Polar Hyperbola in conics packet (also posted on last page of Chapter 11 Conics notes above)
• (HW +16 points) 
• 11.6 (p.771) #11~16 with reasons, #34. 
• 11.6 (p 830) # 11~16 with reasons, #33.
  

• If you would like a recommendation letter, please click the link.
• If you would like to learn more about probability, statistics, random variables, over the summer, I suggest you read this very nice probability chapter

• Project 3 Linear Algebra Proofs Worksheet. Mandatory for those assigned project 3. Bonus for others.

• Chapter 12 Bonus
  
• B1) (+5 HW points) If the 3 numbers  x y z are in an arithmetic sequence, prove that y is the arithmetic mean of x and z. If the 3 numbers x y z are in a geometric sequence, prove that y is the geometric mean of x and z.
• B2) (+10 HW points) Use the technique showed in class involving linearity of summation to derive Pg. 818 formula #3 if you know formula #0~2 are true. Please do not use induction. Hint: Set up a collapsing sum.
• B3) (+3 points) In the game "rock, paper, scissors", there are 3 rules: rock smashes scissors, scissors cut paper, paper covers rock. In the game "rock, paper, scissors, lizards, Spock", how many rules are needed? What if you have the game with n items: how many rules are needed? (another +3 HW points: What if you have a game with n+1 items: how many more rules are needed than the number of rules for the game with just n items? Relate this to the markers-eraser theorem)
• B4) (+5 HW points) Write nC2 in sigma notation.
• B5) (+10 HW points) In Mohri's Machine Learning Appendix on Convex Optimization, it's stated that a convex function is one where f(cx+(1-c)y) <= cf(x)+(1-c)f(y), where c is in [0,1] and x, y are any two points in the domain of f. The book states that 'it is straightforward to show by induction' that this property can be extended to f(c1x1+c2x2+c3x3+...+cnxn) <= c1f(x1)+c2f(x2)+...+cnf(xn), where the c's add to 1.Please use induction to straightforwardly show this is true. 

Assignment

Description

Due Date

Download

• AP Physics C Summer Homework: Please print this out and show your work. Links to references are in the packet and at right. Students who've completed AP Calculus BC should complete all of the packet handed out before summer break. 
• Mandatory completion for everyone: Pages 1, 2, 8, 9, 10, 11, 'u-sub on page 5'
• Here is a very useful illustration of Taylor series: Taylor Mathlet
• Read the Calculus Tutorial and complete the Calculus Worksheet.
• For students who have not yet taken AP Calculus AB. Students who have completed AP Calculus AB should just read the Tutorial and are not required to complete the Worksheet.
• Topics 1-6, 10, 11: practice questions in the Worksheet.
• Topics 7, 8, 9: practice questions in the Summer HW above (pages 3, 8, 11~13)
• Vector Review Worksheet: (+30 HW points) Please print this out and show your work. For review, please read:
• Chapter 9 of Precalculus 6^th Edition by Stewart, Redlin, and Watson... or
• A summary of the contents is available in the Precalculus Vector links at right.

• Complete at least 5:
• Ch. 1 Exercises # 13, 16, 27, 31, 32, 36bc, 51, 52, 54, 55a. Bonus 98.
• Finish the u-substitution page in the summer packet
• Finish this slice aprroximate integrate practice worksheet
• Fill out the survey and your schedule (see below)

• Read the syllabus. Join Google Classroom.  
  
• Join AP Classroom
• Please fill in the Beginning of Year Survey
• Please fill in your schedule info in this AP C spreadsheet
• Study halls may be used for testing and mandatory test corrections
• After school catch-up classes may be required
• Test Corrections: Every test must be corrected in a separate color pen or separate paper before the next unit test. Please do not take tests out of the room; pictures are NOT allowed! Please correct the tests on Tuesday~Friday 3~4 afterschool.

• https://myap.collegeboard.org/
• Mechanics Progress Check:
• Unit 1 MCQ (18) and FRQ (1)
• Write the FRQs on a paper and self-score after submitting. On the same paper, correct the MCQ errors after submitting the MCQs. Turn the paper in for homework credit.
  

• Prove that the algebraic and geometric formulas for dot product are equal. Hint: Law of cosines, Precalculus.
• Ch. 2 (1D Kinematics)  Review Q2.2, Exercises # 14, 32, 72, 76, 92, 93.

• Ch. 1 (Vectors) Exercises # 55a, 56, 57.
• Ch. 3 (2D Kinematics) Exercises # 4, 8, *20, 34, *41, *42, 44, 46, 50, 54, 75, *77. (* = optional bonus. No skipping the others.)
• Prove that the algebraic and geometric formulas for dot product are equal. Hint: Law of cosines, Precalculus.
• Keep filling out your summer homework/study guide.
  

• Do a write-up for both labs
  
• Lab 1 Write-up
• Check the launching speed 5m/s ?
• Make sure the ball does not hit the ceiling
• Given H and v_o, what is the best angle to launch the ball from the table so that it can land in the bucket on the floor as far away as possible?
• Actually collect data and make a scatter plot to check it matches your desmos function
• Bonus: Use the 45 degree idea to try to deduce the best angle.
  
• Lab 2 Bonus
  
• Given v_0, H, and R, find the best angle so that the ball hits the wall at the highest point. Set up y(theta), and use calculus to find the stationary point. Explain how you know it's a max and not a minimum. Bonus if you use the first derivative test to explain. More bonus if you also use the 2nd derivative test to explain.
  

• v 2018.1  drop sphere. h and t for g lab - simple
• v 2013.1 spring launched glider lab, v(t), x(t) curves. a bit of energy, shm
  

• v 2021.set1.1  fan cart and incline - simple
• v 2021.set2.1  PAScar with friction - simple
• v 2019.set2.1 Atwood, 2 blocks on incline
• v 2015.1 block on incline, x/v/a(t) curves, friction t_up vs t_down

• Summer Packet Guide. Fill in these 2 frqs
  
• page 8 #4 about air drag. We did this in class on the board.
• page 12 FRQ 2008.1 skiier downhill, -bv drag, DE
• Write these 5 air drag differential equation-type FRQs
  
• v 2017.2 block on incline, collide with spring and slows, drag -bv^2 on surface. energy, a bit SHM period, DE, xva(t) curves, nice.
  
• v 2014.2 circle and DE - cw
• v 2013.1 spring glider reaches terminal speed. concept graphs, a bit of energy SHM period - simplish
  
• v 2013.2 classic drag DE with ln
• v 2010.1 cupcake drag experiment concept, no DE - simple
• v 2005.1 upward ball, drag -kv, no solving - concept
  

• On the worksheet with the vertical circle pendulum, derive Tension(theta) as discussed in the lesson.
  
• Write these 3 FRQs 
  
• v 2021.set1.2 pendulum knocks block off table
• v 2021.set2.3 spring block up to qtr circle and projectile 
• 2014.2 down incline into circle, DE - cw
• v 2011.2 slide down qtr circle with friction. force, energy, and DE.
• Ch. 5 (Applying Newton's Laws)
  Exercises # 95, 96, 104, 116.
  
• More suggested exercises are listed below, but optional...
  

• Ch. 4 (Newton's Laws) Exercises # 58, 61, 62.

• Ch. 5 (Applying Newton's Laws) Discussion Questions # 26, 27, 28, 29, 30, 33.
  Suggested Exercises (You may skip the ones you feel you already know) # 24, 37, 55, 59, 61, 63, 64, 80, 85, 86, 95, 96, 101, 102, 103, 104, 105, 116, 117, 118, 123, 124, 127.
  

• Ch. 4~5 Force Review Classwork handout: finish everything including Chapter 5 Exercises 64, 95, 96, 116. Air drag discussed in class.

• Please highlight your bonus questions or they might be overlooked.
• AP Classroom Mechanics Progress Check 
• Unit 7 Gravity  MCQ (10) and FRQ (1)
• Ch. 12 Gravity
• Discussion: # 9, 10, 14, 19, 21, 22
• Exercises: # 2, *9, 17, 22, 24, 31, *42, *47, 49, *55, 61, 65, 68, 69, 72. (Bonus # 86, 87)
• Self-study 12.6~12.8. Look over examples 9, 10, TYU7, 11.
• Mechanics FRQ 
• Forces and Gravity:  v 2007 #2; v 2005 #2 
• Kepler's Laws Lab Worksheet 
  

• Textbook
• Ch. 6 (Work and Energy) Discussion # 1, 6, 8, 12, 13, 21, 23.
  Exercises # 32, 35, 38, 67, 82.
• Mechanics FRQs (see links at right)
• v 2021.set2.3  spring launched mass to above qtr loop-the-loop , projectile - similar to cw
• v 2009.3 rope slither-falls off table
• v 2004.1 Tarzan catches object and projectile into water
• v 2003.1 pull a box a(t), work

• AP Classroom Mechanics Progress Check 
• Unit 3 Energy
• MCQ (15)  and FRQ (1)  
• Finish all the questions in the energy packet. Turn in the energy packet.
• Turn in the summer packet guide. The ones that were mandatory for summer, the ones we did in class, and the DE frqs assigned will be checked for credit. (There are still a few topics that we'll go over in the next few weeks.)

• Textbook
• Ch. 6 (Work and Energy) 
  Exercises # 93 (horsepower of your heart, use your own height and estimate how many liters for yourself), 96, 99, 100, 102.
• Extras: *7, *8, *9, *27, *41, *50, *59, *81, *93, *98, *103, *104.
• Ch. 7 PE Discussion # 2, 3, 10, 11, 17, 18, 20, 21, 22. Extras: *5, *13
• Exercises # 9, 19,  25, 37, 42, 46, 83, 85, 86, 87. Extras:  *6, *8, *22, *24, *50, *74, 81
• Bonus Mechanics FRQs:
• * 2012.2 design lab for conservation of energy
• * 2007.3 spring and block on ramp, tilted, lab, consv of energy
• Bonus: When we get to EM, try to explain the nonconservative force in the example with the square loop and relate it to a generator.
• Bonus: A marble is in a hemispherical bowl of radius R. Derive the potential energy function U(x), where the x-axis is along the table and the origin is at the bottom of the bowl. Can you find the location of stable or unstable equilibrium?  (Ch. 7). Find F(x) from U(x). Does it make sense though? 

• B1) How did Newton find out that gravitational force is inversely proportional to distance squared? Read your book. Show the examples involving Earth and Moon, 3600.
• B2) The above required knowledge of the distance between the Earth and Moon. How did the ancient Greeks measure this from simple trigonometry? Hint: Look up Hipparchus. Show the geometry.
• B3) The above required knowledge of the radius of the Earth. How did the ancients figure this out? Hint: Look up Eratosthenes. Show the geometry.
• B4) How did Cavendish measure G? Draw the diagram and explain. 
• B5) After Cavendish measured G, he became the first to calculate the Earth's mass. How did he do this? We talked about it in class.
• B6) In class, we showed how to calculate the mass of the Sun, but we had to first know the distance between the Sun and Earth. How was this distance measured? Show the geometry.
• B7) Knowing the things above, how do we know the core of the Earth is not made of the same rock as on the surface? Hint: density, basalt, granite.
• B8) Derive the Schwarzchild radius. Is it true that as long as you are outside the radius of any spherical mass, you are 'safely' in orbit and won't go spiraling in? (What about the average density of the sphere makes it so that even if you are outside the surface, it's a black hole?)

• Pre-lab: Derive your methods for finding g in 4 ways: 1) ticker 2) Atwood's machine 3) inclined plane 4) pendulum. You may only use a ruler, timer, and balance.

• Pre-lab: Derive your methods for finding g in 4 ways: 1) ticker 2) Atwood's machine 3) inclined plane 4) pendulum. You may only use a ruler, timer, and balance.
• Second Pre-lab: Derive your methods for measuring the air drag of coffee filters. See FRQ 2010 #3. We will try this on Wednesday.
• ** Bonus: Bring cupcake papers that can stack up for the class to use in the lab for D=Cv^2.
• *** More Bonus: Bring objects that might have drag D = Cv to try out. However, a feather would probably have too much turbulence and it would be difficult to change mass without changing shape.

• Complete the worksheets: 1) Parachute packet 2) Next Time Questions 3) Review "Test"

• Mechanics FRQs (7 FRQs mandatory  marked 'v' see links at right)
• v 2021.set2.2b (center of mass calculus)
• 2019.set2.2 impulse and KE calculus -- was classwork in ch 3
• v 2019.set1.2 ballistic pendulum-ish and then off table projectile
• 2015.2 projectile onto ballistic pendulum, SHM - simple
  
• v 2011.1 launch bullet out of, and into another block
• 2004.1 Tarzan picks up object into lake
• v 2018.2 impulse F(t) collide
• v 2016.2 nonideal spring launches block and collides head-on 
• v 2014.1 nonideal spring launches cart, U, speed, impulse
• 2006.2 block collides with nonideal spring
• 2010.3 skier on slope with drag DE, tough, energy and impulse - summer packet
• v 2003.3 catapult energy and projectile 
• Textbook
• Ch. 8 Momentum/CM Discussion # 1, 2, 17, 23, 24, 25, 26.

• Textbook Ch. 8 Momentum/CM  
• Exercises # 12, 28, 44, 52, 55, 68, 90, 91, 103. Extras:  *2, *13, *20, *45, *75, *86, *100, *109, *110,* 112, *114 (cw), *116.
• Bonus:
• B1) For a perfectly inelastic collision, mathematically show that the final kinetic energy is less than the initial kinetic energy.  (Ch. 8)
• B2) For a 1D elastic collision between objects A and B, in which the masses and initial velocities are known , start with the fundamental concepts of conservation of momentum and kinetic energy to derive the formulas for the final velocities of A and B. Review your notes from last year, and try to use an inverse matrix to solve the system of linear equations neatly.  (Ch. 8)
• B3) Newton's Cradle. Explain conceptually and prove mathematically why they seem to just switch.
• B4) There is a question about raindrops in the chapter on momentum. Could you use this information to estimate how high up a raindrop falls from the sky based on how fast a car is moving on the highway and the angle that the drop makes with the vertical on a window? Try to collect real data from your own observations.

• Please highlight your bonus questions or they might be overlooked.
• No skipping for the rotations unit!
  
• Read 9.1~9.3 (Rotational Kinematics)
• Ch. 9 Discussion # 6, 8, 9, 18.
  Exercises # 6, 15, 20, 26, 28, 64, 67. Bonus 101.
• Read 9.4 (Rotational Energy, Stationary Axis)
• Ch. 9 Exercises #34, 48, 50, 82, 86, 90. Bonus 98.
• Read 9.5~9.6 (Moment of Inertia Calculus)
• Ch. 9 Exercises # 61, 63, 96. Bonus 95, 99.
• Read 10.1~10.2 (Torque, Rotational Dynamics)
• Ch. 10 Exercises # 4, 10, 14, 15, 16.

• On your rotations worksheet, finish the frq 'Mech 3' about rolling with slipping. 'A student holds one end of a thread, which is wrapped around a ...' We will check the answers on Tuesday at the start of class.
  
• No skipping for the rotations unit!
• Read 10.3 (Rotational Energy with Moving Axis, Nonslip roll, More Torque and Energy Examples), 10.4 (Work and Power)
• Ch. 10 Exercises # 20, 22, 26, 32.
• Read 10.5~10.7 (Angular Momentum)
• Ch. 10 Exercises #  38, 40. Extras: *41, *44, *46, *49.
• On your rotations worksheet, finish #101 rolling with slipping. Show the fD expression equals the gained translational KE expression (1/18*...)
  
• Mechanics FRQ. Time yourself. Then give yourself a score in a red pen; check the online scoring guidelines. Do not copy the solutions. You should be closed-book testing yourself when you're writing the homework honestly. See the links at right. Total: 10 frqs...
• 2021.set1.3, 2019.set1.3, 2019.set2.3, 2018.3, 2016.3, 2014.3.de only, 2012.3, 2008.2, 2007.2e only, 2005.3
• They are listed below, categorized by topic
  

• v 2021.set1.3  nonuniform Rod, calculus I and CM, torque(time), omega(time), swing energy

• v 2019.set2.3 rolling race around loopy
  
• v 2018.3 three spokes. calculus I. force, energy up incline 
  
• v 2012.3 rolling and slipping - like cw

• v 2016.3 mass stretches spring while rotating, v^2/r, a_r+a_tan ideas
• v 2008.2 rotating bar, angled string tension (like static equilibrium sign question)

• v 2019.set1.3 energy motor-driven wheel on platform, rotational perfectly inelastic collision
• v 2014.3.de only  Rotational explosion
• v 2007.2e only Basic circle orbit, ME, Kepler conservation of angular momentum
• v 2005.3 rod pivot hits ball

• Rotations worksheet: The entire worksheet should be done; it will be collected on test day.
• Ch. 11 Static Equilibrium  Read examples 1~3 (no calculator for 3a), TYU 3, example 4. Optional to turn it in.
• Optional Suggested self-practice: AP Classroom unit progress checks have all been unlocked for Mechanics. If you want more practice on rotations, you should try that unit's mcqs/frqs. Also, topic categories of frqs for more practice are listed in the AP C frq list
  

• circular motion: kinematics, work, power
• parallel axis theorem
• rotational collision, angular momentum conservation to find final spin speed
• rolling with slipping, (could be either vcm < or > vtan), when will it stop slipping
• rolling without slipping free-body diagram to set up torque, linear forces, and energy... such as
• rolling up or down hill: forces, torque, energy idea
• yo-yo example
• hanging mass pulls something with non-negligible pulley
• integral calculus to get moment of inertia
• Bonus: gyroscope precession, professor bike wheel on rope, bike wheel and chair, prove parallel axis thm, prove Kepler's 2nd law

• Ch. 13: Simple Harmonic Motion
• Discussion # 3, 4, 11, 15, 16, 18, 19.
• Mechanics FRQs (4)
• SHM: 2012.1, 2011.3, 2009.1, 2009.2
• classwork: 2004.3, 2003.2

• Ch. 13: Simple Harmonic Motion
• Discussion # 3, 4, 11, 15, 16, 18, 19.
• Exercises # 13, 19, 25, 34, 38, 54, 67, 68, 87, 97, 98. Extras: *32, *37, *39, *56, *59, *75, *88,  *91, *103.
• Bonus: Show where Equation 13.35 for a simple pendulum comes from. Hint: Follow Calculus 9th edition by Anton: P. 685, P. 559~560 #5
• Bonus continuing *103: Does the natural frequency of N₂ and O₂ match up with that of blue/purple?
• The ch13 textbook questions look really good as practice, like AP frq types.
  Try all listed
  Turn it in on time, or at least on the day you take the test. Be honest and do your homework with integrity. Similar questions that show up on the test will affect your homework score.
  Homework not turned in = raw score -10
  Homework turned in after test = raw score +5
  Homework turned in by test day = 100 - similar questions on test

• Ch. 21: Coulomb's Law and Electric Field  
• Discussion # 1, 8, 11.
• Exercises # *2, *7, 37 (Derive: See Examples 7&8), 56 (Derive: See Example 12), 59, 60, 61, 62, 73, 78, 84, 86, 102. Classwork: 89, 95.

• Finish the packet handed out labeled 'Dec'.
  
• Official CollegeBoard Exam: Mechanics 2012 (MCQ). Self-correct your answers in a different color.
• Extra Credit. Please highlight: College Board AP Physics C: Mechanics Sample multiple choice questions, in the front of your FRQ book. Please show work in your FRQ Alien book.http://apcentral.collegeboard.com/apc/public/repository/ap-physics-course-description.pdf  Your homework begins on page 44: Sample Questions.

• AP Physics C: Mechanics Ch. 1~10, 12, 13. Not yet: EM from homework (Ch. 21~22).
• Questions will be from a College Board practice exam, calculator allowed .
• 45-minutes for 35 multiple-choice 
• 45-minutes for 3 free-response,
• Please review by doing the Winter HW.

• Ch. 22: Gauss's Law: No skipping! 
• Discussion # 2, 3, 4, 5, 12, 16, 17.
• Exercises # 2, 8, *17, 21, 24, *26, 30, 31, *37, 38, 41,*42,  *43, *44, 45, 51, 57. Bonus: # 59, 60, 61. Classwork: 33.

• Ch. 23 Potential
• Read through the Examples and Test Your Understandings.
• APC EM frq paper (2012 #1; 2011 #1; 2009 #1; 2005 #1; 2004 #1;; 2003 #1 )  
• EM FRQ (electric field, Gauss)
• Staple onto the paper above (Learn them all; your future test may have some from these frqs)
• 2019 set 1 #1; 2019 set 2 # 2; 2018 #1; 2017 #1; 2016 #1, 2014 #3; 2013 #1; 2010 #1; 
• Optional additional practice:
  
• 2008#1; 2007 #2; 2006 #1

• Ch. 24 Capacitors: No skipping!
  
• # 8, 9, 40, 62, 64, 65, 67, 71.
• Capacitor EM FRQs: 2015 #1, 2018.1

• Ch. 25 Ckt 
• Examples 5~11, Test Your Understanding 4,5 
• Discussion 10, 12~16, 20.
• Exercises 33~37, 43, 45, 71, 72.

• AP classroom EM Unit 3 mcqs (36) -- DC circuits
• Optional: + 15 bonus for showing work too
• AP classroom EM Unit 1 mcqs (36) -- Potential, E field

• AP Mechanics MCQ practice packet. Show work and correct the errors.
• FRQ EM practice problems on RC
• Homework:  2018.1, 2015.2, 2014.1, 2013.2, 2012,2, 2010.2, 2006.2, 2004.2
• Classwork: 2017.2, 2007.2, 2003.2d, #2. 
  

• Finish the 2 hand-written worksheets (mainly on Giancoli ch 17 concepts and AP2 circuits)
• Ch. 26 DC RC Circuits
• Examples and Test Your Understanding (from Sections 26.1~26.3)
• Read 26.4~26.5
• For 26.4 RC practice (and household wiring), work on ... 
• Exercises # 41, 45, 49.
• In your kitchen, you keep the light and refrigerator on at all times, and you use the microwave for 10 minutes every day. What is the electric bill for 2 months of kitched electricity usage? If you use all these at the same time, and then also turn on a space heater and electric water boiler, will the circuit breaker trip, and is 12-gauge wire large enough to supply this current? (Look up the power ratings of these appliances, the circuit breaker rating for a kitchen, and the cost in NT per kWh)
• Complete EM FRQs: 2015 #1, 2012 #2, 2010 #2, 2007 #1, 2006 #2, 2005#1, 2004#2, 2003#2. Staple HW onto the RC classwork paper.

• AP classroom EM Unit 4 mcqs (34) -- Lorentz, Biot-Savart, Ampere
• Optional: + 10 points per homework chapter (see below)

• Ch. 27 Lorentz Force
• Discussion: 6, 7, 12, 14, 15, 16.
• Exercises: 8, 18, 23, 27, 30, 44, 45, 62, 66, 72, 91.

• FRQ EM practice problems on Lorentz, Biot-Savart, Ampere
• Homework:  2019.set2.3, 2017.3, 2012.3,
  
• Classwork:  2016.3, 2009.2, 2008.3, 2011.3 (finish as hw)
  
• Optional: + 10 points per homework chapter (see below)

• Ch. 28 Ampere's Law 
• Show how to apply Biot-Savart to a loop of wire to obtain equation 28.15. See Page 967.
• Read the book and complete examples and TYU for 28.1~28.5.
• Discussion # 1, 2, 3, 4, 11.
• Exercises # 13, 23, 28, 31, 36, 37, 69, 72, 78, 82.

• Faraday:
• Homework: 2018.3, 2015.3, 2014.2, 2013.3, 2009.3, 2006.3, 2003.3
• Classwork: 2021.3, 2019.set1.3, 2008.2, 2004.3

• Ch. 29 Faraday's Law
• Discussion # 4, 7, 9, 12 (see figure 29.17 not 29.16), 17.
• Exercises # 1, 3, 26, 29, 33, 36, 48, 51, 54, 65, 66, 68.

• AP classroom EM Unit 5 mcqs (28) -- Faraday, Inductance, Electromagnetism
• RLC circuits
• Homework: 2019.set1.2, 2017.3
  
• Classwork: 2011.2, 2008.3, 2005.2
  
• Ch. 30 Inductance
• Complete the examples and Test Your Understandings. Try to work through the problems closed-book, and derive the equations needed. (Don't just plug in).

• See AP Classroom
• 2019 Mechanics AP Practice Exam MCQs and FRQs self-score and corrections
• 2019 EM AP Practice Exam MCQs and FRQs self-score and corrections

• 4/12 Tuesday in class:
• corrections: Magnetism Test, Circuits Test, Statics Test
• MCQ HW due Friday 4/15:
• 2018 EM MCQs on AP Classroom

• FRQ HW due Tuesday 4/19:
• 2018 EM FRQs on AP Classroom
• 2017.2 EM frq on AP Classroom
• Public EM frqs: 2021.1~2, 2019.set1.1, 2018.3
• Study Hall Monday:
• AP Physics EM Exam -- Test grade
• Tuesday 4/19 in class:
• correct the EM Test  MCQs
• correct Mechanics old tests
• MCQ HW due Friday 4/22:
• 2017 EM MCQs on AP Classroom
• 2013 Mechanics MCQs on paper
• Friday 4/22 in class:
• correct the EM Test  FRQs
• correct Mechanics old tests

• FRQ HW due Tuesday 4/26:
• Mech public frqs: 2021.set2.2, 2017.1~3
• Study Hall Monday~Tuesday:
• AP Physics Mechanics Exam -- Test grade
• 4/26 Tuesday in class:
• correct the Mechanics Test  MCQs
• MCQ HW due Friday 4/29:
• 2018 Mechanics MCQs on AP Classroom
• 4/29 Friday:
• correct the Mechanics Test  FRQs

🍀 GOOD LUCK 🍀

1. AP Physics C  Mechanics Course Description MCQs (starts on page 156) and FRQs (solutions)
2. AP PhysicsC  E(M) Course Description MCQs (starts on page 149) and FRQs (solutions)

• Official CollegeBoard Exam: 2012 EM (MCQ) on the AP C EM Page
• Finish 2013 EM packet (FRQs) at home. Try to finish each question in 15 minutes.

• 4/13 Tuesday in class:
• sample EM MCQs and FRQs 1~2
• Study Hall Thursday~Friday:
• 4/15/2021 Mechanics MCQs on AP Classroom
• 4/15/2021 Mechanics FRQs (3) in packet
• 4/16 Friday: 
• Magnetism Test Corrections

• 4/20 Tuesday in class:
• Correct 4/15 Mechanics MCQs and FRQS
• Correct 4/17 EM MCQs and Mechanics MCQs
• Finish correcting Magnetism Test
• Finish correcting sample EM MCQs and FRQs
• Read over old tests, especially rotations and SHM
• Study Hall Monday~Tuesday:
• 4/19/2021 EM FRQs (5)
• 4/23 Friday:
• Mechanics MCQs (45 minutes)
• Corrections

• 4/27 Tuesday in class:
• Correct 4/24 EM MCQs A and B
• Read over old tests, especially rotations and SHM
• Study Hall Monday~Tuesday:
• 4/26/2021 Mechanics FRQs (3) and EM FRQs (3) 
• 4/30 Friday:
•  Corrections of 4/26 FRQs

• Arduino
• Raspberry Pi
• IR remote control
• A circuit you designed
• A website you created
• A game/app you programmed
• Modern physics theory
• Genetic algorithms, GAN
• Wavenet (talk, demo page), Face2Face
• Tensorflow
• Yolo
• If you do not have your own projects, you may make a proposal about next year's design thinking. Ideas: math and art moire patterns, optical illusions, oscilloscope art. see the DT section.
• Here are some nice places to look:
• EE16A  EE16B
• Headtracking for VR, Google lead in Project Tango. He has a blog of projects too.
• Martin Gorner's excellent talk on neural networks. Slides and a codelab are available  to learn about Tensorflow 
• 2 minute papers
• Medium Daily Digest: car on a track, Deep Learning Classes, ML is fun, 
• RNN blog, Advice for students: undergrad, grad

Assignment

Description

Due Date

References

• Sample Question answers
• AP 1 Course Description 
• AP 2 Course Description
• AP1 FRQ Answers
• AP2 FRQ Answers
• APB FRQ Answers

• READING 1: Read the chapter about the nucleus and radioactivity ( pdf pages 1~25). Then practice these questions starting on pdf page 28: # 35, 36, 39, 44, 56, 57, 59, 60, 61, 62, 65, 67, 72.

• READING 2: Read the chapter on Atomic Physics. (See the pdf pages 33~59 or your Holt high school physics textbook Chapter 21 p. 751~777). Then practice these questions
• Practice A (pdf p. 37/ Holt p. 755) # 3
• Practice B (pdf p. 40/ Holt p. 758) # 2, 4
• Section Review (pdf p. 42 / Holt p. 760) # 1, 4, 6
• Practice C (pdf p. 51 / Holt p. 769) # 3
• Section Review (pdf p. 52 / Holt p. 770) # 6
• Practice D (pdf p. 56 / Holt p. 774) # 4
• Section Review (pdf p. 59 / Holt p. 777) # 1, 2, 4, 5.

• READING 3: Read the appendix chapters on rotations. (See the pdf pages 79~88 or Holt Appendix J p. 898~907) Then practice these questions from the Holt Online Extensions Sample Sets
• A 2,  B 1,  C 1,  D 4 and 5,  E 2,  F 1,  G 1,  H 1 and 3, I 4.

• READING 4: Read the Holt appendix chapters on fluids, the Ideal Gas Law and Bernoulli's Principle. (See the pdf pages 89~92 or Holt Appendix J p. 908~911) Then practice these questions from the Holt Online Extensions Sample Sets
• J 1,  K 1.

• Read the syllabus. Join Google Classroom.  
• Join AP Classroom
• Please fill in the Beginning of Year Survey
• Please fill in your study halls in green and afterschool activity info in red in this AP12 spreadsheet
• Study halls may be used for testing and mandatory test corrections.
• After school speed-up classes may be required
• Test Corrections: Every test must be corrected in a separate color pen or separate paper before the next unit test. Please do not take tests out of the room; pictures are NOT allowed! Please correct the tests on Tuesday~Friday 3~4 afterschool.
  

• Estimate ~3 hours per week. Utilize your study halls. Remember, the AP in May is 6 hours of testing and was designed for 2 years.
  
• Online College Board Homework:
• MCQ ~ correct the wrong ones on paper. Digitally submit to get a score.
  
• FRQ ~ show work and give yourself a score on paper. Rubrics are shared in Drive.
  
• TextBook
  
• Be sure to work on the right exercises! There are different categories in the textbook: "questions", "misconceptuals", and "problems".
• The exercises with * are extra credit. Please highlight bonus questions in homework, or they might be overlooked!
• Remember to always show work neatly and honestly, including for multiple choice questions. Use free-body diagrams when necessary, and write the fundamental equations using expressions before plugging numbers in.
• Include SI units.
• It is recommended that you read/see if you understand all problems, but if time is limited, pick the harder ones. If instructions say to do all, then all are mandatory. Otherwise,'questions' are optional, but at least do 5 misconceptuals with reasons, and at least 5 harder/listed-at-the-end problems (try to pick problems from different sections, or the comprehensive general problems)
  

• Read the summary about the nucleus and radioactivity (pdf pages 1~25).
  
• Chapter 27 Quantum (before deBroglie). No skipping this time.
  
• Questions 3, 5,  6, 7, 9~14.
• Problems 2, 3, 15, 27, 28, 37, 66, 68, 74.
• Keep working on the modern physics study guide
  

• Finish the modern physics study guide, collected on test day.
  
• Join the AP Classroom
  
• https://myap.collegeboard.org/
  Check Google Classroom for the codes
• AP 2 Unit 7 Personal Progress Check MCQ A, B, C, and FRQ
  
• More modern physics practice. Complete these 5 topics' FRQs.  APB FRQ Answers
• Photons: 2005B.7ab
  
• Photoelectric: 2014.6
  
• Energy Levels: 2011.6, 2009B.6, 2005.7  (do at least one)
  
• Particles to Light: 2006B.6
• Compton: 2004B.6
  

• Modern Physics: Chapters 27 (26, 30, 31)
• Questions are from CollegeBoard. It helps to review textbook homework, study guide, FRQs.

• Study for the Test
  
• Modern Physics Practice: Classwork study guide/notes on Chapters 26~31 will be checked while you're taking the test.
• Practice Book pages 67, 73~76. (when your AP frq book comes)
• Print this out for next year:
  
• 2004.6 (photelectric)
  2003B.7 (energy levels)
  2008B.7 (consv of charge, nucleons)

• Reminder about online practice: Write your FRQs on a paper and self-score. Please keep a record of your scratchwork to show you really thought through the MCQs.  Your MCQs should at the very least show work/corrections for the ones you got wrong. 
  
• Online CollegeBoard AP Physics 1
• Unit 1 Progress Check MCQ (16)
• Unit 1 Progress Check FRQ (2)
• Online CollegeBoard AP Physics 1
• U1_Kinematics_practice (16). Scoring rubric appears after submit. Then make sure to submit the score.
• Chapter 3: 2D Kinematics (no skipping)
• Questions 13, 14, 18.
• Misconceptual 6, 8, 9, 10, 11.
• Problems 12, 32, 67*,  72.
• Search and Learn: 1*, 5*.
• classwork: AP 1 Packet
•  p1 # 3, 5, 6; p 9 #13~15; p 16 #3 frq; p 17 #2

• Be sure to work on the right exercises! There are different categories in the textbook: "questions", "misconceptuals", and "problems".
• The exercises with * are extra credit. Please highlight bonus questions in homework, or they might be overlooked!
• The exercises with * are extra credit. Please highlight bonus questions in homework, or they might be overlooked!
• Remember to always show work neatly and honestly, including for multiple choice questions. Use free-body diagrams when necessary, and write the fundamental equations using expressions before plugging numbers in.
• Include SI units.
• It is recommended that you read/see if you understand all problems, but if time is limited, pick the harder ones. If instructions say to do all, then all are mandatory. Otherwise, at least do 5 questions, 5 misconceptuals (or those listed) with reasons, and at least 5 problems (including 1 harder/listed-at-the-end problem per section, and 2 from general problems. If skipping, choose the harder problems starting from the end (don't just pick the first easy problems). Also, try to pick a variety of topics from different sections.
  

• Chapter 1: Introduction
• Problems 1, 2, 3, 5, 7, 8, 9, 10, 13, 19b, 39 just dimensions
• Chapter 2: 1D Kinematics
• Questions 9, 10, 12, 15, 16, 17.
• Misconceptual 3, 9.
• Problems 7, 15, 26, 28, 37, 55, 56, 57, 71, 75, 78.
• Chapter 3: 2D Kinematics
• Questions 13, 14, 18.
• Misconceptual 6, 8, 9, 10, 11.
• Problems 9, 10, 12, 31, 32, 39, 46, 47, 59, 60, 61, 67*,  72.
• Search and Learn: 1*, 5*.

• Online CollegeBoard AP Physics 1 Unit 2 Progress Check
• MCQ A (21)
• MCQ B (21)
• FRQ (2) see scoring guide in Drive
• 1) A on table, B falling
• 2) CM on incline
  

• Kinematics
  
• v 2016.3 kinematics. rolling down bumps on incline
• v 2005B.1 elevator a(t)
• Newton
  
• * 2021.2 force vs radius of rope lab
• * 2019.2 A on table, non-neglible pulley, B falling. inertia, T. concepts
• * 2013.4 A on table, B falling, projectile on A gets launched.
• * 2012.1 A on table friction. 15N pull vs. 1.5 kg Block falling
• v 2003.1 Atwood machine
  
• v 2007B.1 pull box at angle
  
• v 2007.1 sled down friction incline
• * 2017.2 Find coefficient of static friction lab. on incline
• v 2008B.2 box on truck, friction
• v 2003B.1 ball on string, protractor accelerometer
  

• Turn in your Gravity/ ellipse/circles worksheet packet. Finish it.
• AP 1 Unit 3 Progress Check
  
• MCQ A (22)
• MCQ B (22)
• FRQ (2) see scoring guide in drive
• FRQs about Circles and Gravity ( v = checkmark 5 mandatory. * = bonus optional)
• AP1:
  
• v 2018.1  (spacecraft gravity, like Kepler's 2nd law)
• AP Physics B:
• * 2010B.1 (vmin, loop track and fly off, mainly energy) ^
• v 2004.1 (loopy loop coaster, a bit of energy) ^ - was in Honors Physics
• v 2009B.1 (circling on table, mass falls hole at center, line, T) ^
• v 2005B.2 (pendulum swing tension, vbottom)
• * 2005.2 (pendulum starts tied to wall)
  
• v 2004B.1 (upright rollercoaster) ^
• Textbook Chapters 4~5  (see below). Extra credit.

• Please highlight bonus questions in homework, or they might be overlooked!
• Remember to always show work neatly and honestly, including for multiple choice questions. Use free-body diagrams when necessary, and write the fundamental equations using expressions before plugging numbers in.
• Include SI units.

• Chapter 4: Newton's Laws of Motion
• Questions 2, 3, 5, 7, 8, 9, 10, 13, 20, 21, 22.
• Misconceptual 4, 6, 9.
• Problems 28, 34, 35, 47, 50, 59, 65, 67, 74, 76, 92, 94.
• (Bonus) Search and Learn 1, 2.
• (Bonus) A box with weight w is pulled at constant speed along a level floor by a force F that is at an angle theta above the horizontal. The coefficient of kinetic friction between the floor and box is mu_k. a) In terms of theta, mu_k, and w, calculate F. b) Find the value oftheta for which the value of F, required to maintain constant speed, is a minimum. Hint: Use either precalculus or calculus. More bonus: Show the two solutions are equivalent.

• Finish Classwork: Prove the similar triangles in our discussion of why centripetal acceleration is v^2/r. Minimum 5 Questions, 5 Misconceptuals, 5 Problems (pick from harder ones in different topics)
  
• Chapter 5 (Circular Motion and) Gravity
• Questions 1, 5, 6, 7, 9, 10, 12, 14, 15, 18, 21, 23.
• Misconceptual 2, 5~8, 11, 12.
• Circular Motion Problems 12, 15, 26, 40, 42, 54, 68, 74, 77.
• Gravity Problems 65, 81, 84.
• (Bonus) Problems 56, 66. Search/Learn 2, 3.

• B1) How did Newton find out that gravitational force is inversely proportional to distance squared? Read your book. Show the examples involving Earth and Moon, 3600.
• B2) The above required knowledge of the distance between the Earth and Moon. How did the ancient Greeks measure this from simple trigonometry? Hint: Look up Hipparchus. Show the geometry.
• B3) The above required knowledge of the radius of the Earth. How did the ancients figure this out? Hint: Look up Eratosthenes. Show the geometry.
• B4) How did Cavendish measure G? Draw the diagram and explain. 
• B5) After Cavendish measured G, he became the first to calculate the Earth's mass. How did he do this? We talked about it in class.
• B6) In class, we showed how to calculate the mass of the Sun, but we had to first know the distance between the Sun and Earth. How was this distance measured? Show the geometry.
• B7) Knowing the things above, how do we know the core of the Earth is not made of the same rock as on the surface? Hint: density, basalt, granite.
• B8) Derive the Schwarzchild radius. Is it true that as long as you are outside the radius of any spherical mass, you are 'safely' in orbit and won't go spiraling in? (What about the average density of the sphere makes it so that even if you are outside the surface, it's a black hole?)

• Chapter 6: Work and Energy  (* = bonus)
• Questions 2, 4, 5, 8, 10, 21, 22, 23. Bonus: *6, *12, *16, *18,
• Misconceptual 4, 8, 13. Bonus: *9~12, *14
• Problems 11, 13, 39, 44, 47, 48, 78, 86.  Bonus: *35, *37,*40, *73, *76, *87, *92.
• (Bonus) Search/Learn: *2, *4~6.
• AP1:   v = mandatory.  * = bonus.
• v 2019.3  spring launch k experiment
• v 2017.4 different slides, off table
• v 2015.3 K, U(x) mass on spring to friction surface
• AP Physics B:
• v 2011.1 (force, work from v(t), a(t))
• v 2008.2 masses attached by springs hit wall
• * 2007B.1 (pull dog on sled at angle, dog rolls off)

• AP 1 Unit 4 Progress Check
• MCQ A (16)
• MCQ B (16)
• FRQ (2). Check Drive for solutions
• Remember, the rule is: MCQ ~ correct the wrong ones. FRQ ~ self-score. Book ~ * is bonus, others are mandatory.

• FRQs about Momentum and CM ( v = checkmark 6 mandatory. * = bonus optional)
• AP1: 
• CM
• v 2021.3  CM
• v 2019.1  CM
• v 2018.5 block falls onto SHM, silly putty example
• v 2016.2 lab 'elastic' ball bounce off floor
• AP Physics B:
• v2012.2 (2 balls hit ground, bounce higher) ^
• v2010.1 (spring pushes, hit, projectile off table) ^
• Work on the Momentum, Energy Worksheet packet, collected on test day!
• Chapter 7: Momentum and CM
• Questions 6, 8, 11, 13, 14, 19, 24.
• Misconceptual 1~12.
• Problems 12, 42, 44, 51, 85. Extra: *10, *11, *19, *23, *68, *71,
• (Bonus) Problems: 24, 72, 73, 77, 78. Search/Learn: 3~5.
• ** Bonus: Please use a highlighter
• B1) Derive the final velocity magic formulas for 1D elastic collisions, starting with the basic concepts (conservation of momentum and kinetic energy). Also show that if the masses are the same, the final velocities are exchanged.
• B2) For a perfectly inelastic collision, mathematically prove that the final kinetic energy is less than the initial kinetic energy. Your math should be general enough to include both cases where A catches up to B, and where A and B approach each other.
• B3) What is the mechanical efficiency of an incandescent lightbulb, fluorescent light, LED, car, human body? Be sure to cite your sources and what they consider to be input, useful, and wasted energy.
• B4) The toy rocket that lands > 2d? example...
  

• AP1 Unit 5 Progress Check:
• MCQ A (17)
• MCQ B (18)
• FRQ (2)
• AP 1 Packet (Energy and Momentum practice)
  
•  AP 1 Course Description:  AP1 (Pages 4~13) MCQ 1, 8, 10~12, 22, 24 ;  (Pg 15) FRQ 2.
• Sample Questions: AP1 (Page 17~19) MCQ 1~12  (Page 22) FRQ 2. 
• Work on the Momentum, Energy Worksheet packet, collected on test day!

• Review your AP HW
• There might be "essay" questions. Or maybe not... I'm updating the test...
  
• F_tot = ma, W_tot = K_f - K_i, Net Impulse = change in momentum are always true. How do you get the work and impulse theorems from Newton's Second Law? (mathematically and conceptually in words)
• How do you (mathematically) get the Conservation of Energy from the W-KE Theorem?  What is the condition?
• What are the equivalent definitions of a "conservative force"? Explain their relations. List examples of conservative and nonconservative forces. Derive the potential energy function for a spring. Explain why U(r) for gravity is negative based on 0 being at infinity.
• How do you (mathematically) get the Conservation of Momentum? What is the condition? Relate one-particle and multi-particle systems.
• Why can you always assume momentum is conserved for collisions? In an elastic collision, KE is conserved. How is this idea related to U(r)? In an inelastic collision, K_f < K_i. Why does this make sense?

• Remember to show the free-body diagrams and include a reason for all answers, including multiple choice questions.
• Chapter 8: Rotational Motion Read 8.1~8.4, 8.5~8.7
• no skipping!
  
• Misconceptual 2~5. 
• Problems: 3, 10, 29, 47, 58, 79, 81, 82, 86, 87.   
• Search/Learn: * 4 (zero net torque about a pivot through the center of mass parallel to the ground).

• Complete the 'October AP Classwork: Forces, Energy, Momentum Task 1': Finish all the questions written out on the worksheet's 5 pages (From 'Two identical blocks... until 'a clear, coherent, paragraph-length explanation'. We will correct this in class on Thursday. -5 per blank half-page.
• On the back blank side, please also add on and answer this question, also due on Thursday. See the picture about silly putty. You do not yet need to do the questions listed in 'Task 2 and Task 3 Heart Book'.
• Also add this question to the one about the cannon and the ball that were initially at rest. If the mass of the cannon is M and the mass of the ball is m, and the ball shoots out and causes the cannon to recoil, what is the ratio of their kinetic energies? Assume no gas puff.
  

1. We'll correct your gravity worksheet in class.
2. October classwork on momentum and energy
• Answer these momentum questions, a review from Physics last year.
• Try this worksheet about the iceboat race and collisions
3. Heart Book
•  Sample Questions: AP1 (Pages 8~12) MTC 1, 3~6;  (Page 14) FRQ 2. 
•  AP 1 Course Description:  AP1 (Pages 23~43) MTC 1,3, 5, 6, 8~15, 22, 24;  (Pg 45~47) FRQ 2, 3.
4. There are Next-Time Questions for bonus points.

1. Momentum AP ideas, photogate or ticker, CM.
2. Make sure you do the PRELAB (planning your experiment) before coming to class! See the PASCar manual. Measure the spring constant (Experiment #4) and then use that to predict the distance the car will slide down a ramp (Experiment #6)

• Bonus:
• B1) How long does a person have to walk on a treadmill with an incline of 20 degrees to lose 1 kg if he/she walks at a lesiurely pace? 
• B2) How many kilometers does a person have to walk to burn off a Big Mac? 
• B3) Look up a health article about the amount of exercise needed to lose weight. Verify it with physics.
• B4) (Ch. 6 ideas of work, energy, power) A plane has 4 forces acting on it: weight, lift, thrust, and air drag. At flying speeds, the total air resistance force can be expressed by F_air = av^2 + bv^-2, where v is the speed and a and b are positive constants that depend on the shape and size of the airplane and the density of the air. For a Cessna 150, a small single-engine airplane, a = 0.30 N s^2/m^2 and b = 3.5x 10^5 N  m^2/s^2. In steady flight, the engine must provide a forward force that exactly balances the air resistance force. (a) Use a graphing calculator or use calculus (1st derivative test) to calculate the speed (in km/h) at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel. (b) Use a graphing calculator or use calculus (1st derivative test) to calculate the speed (in km/h) for which the airplane will have the maximum endurance (that is, remain in the air the longest time). This is from Young and Freedman's book.
• B5) In our elevator example, there was a safety spring. What are the safety precautions in an actual elevator?

1. In class, design an experiment (Based on AP1 FRQ 2 above). Perfectly Inelastic Collision
• a,c) Knowing the mass of one car and measuring speeds before and after a perfectly inelastic collision, find the mass of the second car. Describe your procedure. Display data in a position-time graph.
• b) Discuss uncertainties.
• d) Design your experiment to also explore what affects loss in mechanical energy.
2. Confidential AP1 FRQ: Design an experiment for a perfectly elastic collision. Make the ramp slightly tilted:
• The masses of the cars are 1kg + 5 kg. Collect data to show a momentum-time graph for each car. Is momentum conserved? Is there an external force acting on the system? If there is, calculate the magnitude. What if you redo the experiment with 2kg + 4 kg?
3. Confidential AP1 FRQ: Discuss ramp on inclined plane not fixed.

• Remember to show the free-body diagrams and include a reason for all answers, including multiple choice questions.
• Chapter 8: Rotational Motion Read 8.1~8.4
• no skipping this time!
  
• Misconceptual 2~5. 
• Problems: 3, 10, 29, 79, 81, 86.  Bonus: 74.
• Search/Learn: 4 (zero net torque about a pivot through the center of mass parallel to the ground).

• no skipping!
• Read 8.5~8.9
• Chapter 8: Rotational Motion Read 8.5~8.9
• Questions: 5, 7 8, 9, 12
• Misconceptual 6, 10~13
• Problems: 47, 58, 59, 72, 82, 83, 87, 95 (the wheel gains the angular momentum the water lost).  Bonus: 73, 74, 78, 85.
• Search/Learn: 3 (remember the rolling race), 7.

• Write these 4 frqs. See links at right. Time yourself and write it honestly; give yourself a score using the scoring guidelines.
  
• v 2021.5 Atwood torque 
• v 2018.3 disk spinning and friction torque lab
• v 2017.3 rotational collision
• v 2016.1 roll down incline, friction, omega, a_cm
• Unit 7 Progress Checks and corrections
  
• Must write FRQs (2) self-score, see Drive
• Write at least one set of MCQs with corrections, + 10 if you write both.
  
• MCQ A (22)
  
• MCQ B (22)
• I have noticed discrepancies for some students, getting near-perfect scores on the MCQs at home (so no corrections), but on the test, they only get half right. Please do this honestly. I will be watching carefully, and for students with discrepancies on this test, work will be required for ALL mcqs (not just corrections) to show how you practice (thought process/show steps) at home in prepping for the test.
  

• Finish the entire rotations worksheet (except the very last page of APC questions on Mech3, rolling stones, new edition 10.101)
  
• Heart Book  AP 1 Course Description:  AP1 (Pages 24~31) MCQ 2, 3, 4,7,9. This is in the new packet.
  
• Don't need to rewrite questions on the worksheet. Finish the rotations worksheet. Collected on Test day.
  
• Review the classwork examples for Chapter 9.

1. Your old lab
2. Moment of inertia of the golden particles
3. Rolling Race

• Ignore below (old reference)
• Rotation Labs (Read Experiments 1 and 3)
• a) Find the moment of inertia of two point masses on a rod by using the rotational motion sensor's theta vs. time curve, and find the % error with the geometric theoretical moment of inertia 
• b) Rolling Race Write-up
• c) Verify the conservation of angular momentum.
• Read the PASCO manual for reference. Do the Pre-lab/plan before coming!

• AP1 Unit 6 Progress Checks and corrections: SHM
  
• MCQ (22)
  
• FRQ (2) self-score, see Drive
• AP1 Unit 10 Progress Checks and corrections: Waves and Sound
• Must write FRQs (2) self-score, see Drive

• Chapter 11: Oscillations and Waves (those with * are now bonus)
• Questions: 4, 6, 7, 13, 14, 15, 19, 25, 27.
• Misconceptual: 1, 5~12, 14, 15.
• Problems: 6, 9, 11, 17, 21, 32, 59, 61, 66, 68, 76, 78, 87. Extras:  *5, *15, *39, *45, *48, *55, *62, *64, *65, *85. 
• Search and Learn: 6. Extras: *3, *5.
• *Bonus: Problems 22~25, 34, 86. Search/Learn 2.
• AP 1 frqs:
• v 2018.4 traveling wave 
• v 2017.5 traveling waves superpose

• AP1 packet questions:
  
• frqs: p3 #1, p14 #1, p21~23 #1~2
  
• mcqs: p10 #16, p12~13, p17 #1.
  
• Finish Waves Practice worksheet with beats and ladybug
• Chapter 12: Sound Waves
• Questions: 6, 10, 11, 12, 13, 14, 17. Extra: *5.
• Misconceptual: 1~13.
• Problems: 7, 33, 41, 46, 51 (draw it!), 73, 75, 76, 92, 94. Extras:  *53, *60, *65, *66, *72, *77, *79, *81, *84, *88, *89.
• Search and Learn: *2, *3, *4.
• *Bonus: Question 9. Problems: 44, 45, 54.
• AP1: 
• v 2019.5 resonance tube
• v 2016.5 standing wave on string
• 2015.5 oscillator string lab

• mass on spring: K(x), F(x), a(x), K, U, v, a, x(t)
• speed changes by medium while frequency stays the same, so wavelength changes too
• standing wave on rope, on open-closed tube, on open-open tube (like organ eample)
  
• standing wave on rope lab
• standing wave with tuning fork over tube of water
• traveling wave on a rope
• mass on a spring and a clay sticks onto it at the equilibrium vs at the edge of oscillation
• new equilibrium for a vertical spring
• idea of beats
• intensity is inversely proportianal to distance squared, and decibel log scale 3dB, 10dB
• wave energy is proportional to amplitude squared, is work being done on rope, what kind of energy is on the rope when it's flat
  
• For wave on rope, v SHM shake is unequal to v_wave (energy moving)

• AP1 Unit 10 Progress Checks and corrections: Waves and Sound Write at least one set of MCQs with corrections, + 10 if you write both.
  
• MCQ A (16)
  
• MCQ B (16)

1. Simple Harmonic Motion
   
2. Find the speed of sound.
• Procedure: Explain the u-tube and water
• Data (2 tuning forks * 3 trials). What is the highest resonance you could hear? Did you use a high frequency or low frequency? Explain.
• Theoretical speed from temperature? % error? 
• Analyze/Conclude
3. Standing wave on string, v=(T/mu)^0.5
• Goal: relation between tension and speed?
• Explain the procedure, show the data (5 different tensions * 3 trials each)
• Scatter plot of T vs. v. Regression to find the mu.
• Measure the mu with the balance and meterstick. % error from this theoretical value.
• analyze/conclude
4. Machines
• Explain how the 2 machines work. Find the f_in, D_in, W_in, F_out, d_out, W_out, mechanical advantage, and efficiency for a) Pulley   b) Gears

1. EM Balance
2. Equipotential curves
3. Gaussmeter
4. RC, LC.

• Show work for multiple choice questions too.
• Chapter 10: Fluid 
• Questions: 3, 4, 7~21.
• MisConceptual: 1~12.
• Problems: 55, 56, 57, 77, 89, 92, 97, 98. Search/Learn 3, 5, 6.
  
• Extras: *9, *13, *17, *18, *31, *39, *75, *78, *93.
• Bonus: Problem 21. Search/Learn 1, 2. 

• Complete these 11 frqs (and 2 more, only need to write d)
  
• AP2: 2019.4,  2017.1
• APB: 2014.2, 2013.1, 2012.3, 2010B.6d, 2010.2, 2009B.3, 2007B.4, 2005B.5, 2004B.2, 2003B.6, 2003.6d
  

• AP 2 Unit 1 Fluid: Progress Checks and corrections:
• +3 for each FRQ (2) self-score, see Drive
• +7 for each set.
• MCQA (14)
• MCQB (14)
• MCQC (14)
  

• AP2 Unit 2 Thermo:
• Choose 2 of the 3 MCQs with corrections. 
  
• MCQA (21)
• MCQB (19)
• MCQC (23)
• Bonus: write FRQs (2) self-score, see Drive

• AP Classroom MCQs in '2022 Practice Exam 3'. It is the same as the paper packet labeled 'Dec'. Write your work on the paper packet, but submit your choices through AP classroom by Monday 12/27. Then self-check the errors and correct them on the paper packet. The paper is collected in January.
  

1. AP 2 big paper packet. Do all the MCQs and FRQs about Fluid and Thermo: 
• p2 #4, 6; p8 #11; p9 #13~15; p10 #16; p13 #22, 23; p15 #2; p18 #8; p19 #9, 13; p22 #1, 2, 4; p25 #1.
2. Finish the thermo worksheet we worked on in class with 3 FRQs: 2003.5, 2004B.5, 2008.5 (Chart from PV curve +-Q, W, dU). Complete them.
3. Write on paper, 8 more FRQs below checked with a 'v ' in the front. Solutions are posted in links at right. For 2014 and earlier, be careful to distinguish "Form B" .
   

• AP2:  
• v 2021.1 (PV curve, Q U W signs, collision idea, energy flow idea)
  
• v 2021.2 (density and pressure experiment, buoyant)
  
• v 2019.3 (heat Q/time line)
• v 2016.1 (PV cycle, particle explain, qlty U, calc Q) ^
• AP Physics B:
• v 2013.5 (energy flow, increase/decrease practice)^
• v 2012.4 (iso, ideal gas in piston changes) ^ 
• v 2009.4 (piston, PV, calc work, T )
• v 2003B.5 (PV cycle, QUentropy+-, W) ^ 

• Turn in your AP 1 MCQ packet (the one that had highlights. Finish all now)

• Questions marked * are now bonus. Please highlight bonus questions or they might be overlooked.
• Try 5 difficult problems
  
• Chapter 13 Temperature
• Questions 2, 3, 5, 13, 15, 16, 17, 20, 22.
• MisConceptual 1~13 and why.
• Problems *2, 3, *8, 20, 24, 28, 35, 37, 39, 49, *58, *61, *64, 77, 78, 84.
• Bonus: Questions 7, 9, 14, 19. Search/Learn 1, 5.
• Bonus: Derive KE_avg = 3/2 kT. See Section 13.9.

• Try 5 difficult problems
  
• Chapter 14 Heat 
• Questions 3, 4, 5, 7, 8, 10, 11, 15, 17, 18, 19, 24, 27, 28.
• MisConceptual 1~12 and why.
• Problems *4, 11, 16, 18, *21, 23, 29, 33, 34, 41, 47.
• Bonus Problem 49. Search/Learn 2, 3, 4.

• Try 5 difficult problems
  
• Chapter 15 Thermodynamics
• Questions 2~5, 8, 10, 13~17.
• MisConceptual 1~11.
• Problems: 1, 3, 5, 6~10, 12, 13, 35, 55, 56, 57, 58, 65, 68, 71. Search/Learn 2.
• Bonus: 51, 72. Search/Learn 5~8.

• AP2 Unit 3 Statics:  MANDATORY
• MCQA (19)  
• MCQB (19)  
• FRQ (2) self-score, see Drive
• Chapter 16 Electric Charge (Please read the chapter) OPTIONAL+15 
• Choose 5 harder problems  +15
• Questions 2, 4~6, 8, 10~12, 14~18, 20~22.  +5 
• MisConceptual 1~13.  +5 
• Problems 33, 47, 57, 62, 63, 66. Search/Learn 2, 3, 6.
• Bonus: 39~43.
• You may skip the section on Gauss's Law.
  

• Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B" . ^ = nice question
• AP Physics B:
• v2005B.3 (3 charges, F, E, V, F(x)) ^
• v2011B.2 (experiment: plates and ball on string to find E of unknown Q on plates)
• v2010B.3 (2 charges, go away (a(x)) ^
• v2006.3 (2 charges, find V=0 where on) ^
• v2003B.4 (electron in plates) ^

• AP2 Unit 3 Statics:  MANDATORY
• MCQC (20) 
• MCQD (17) 
  
• AP 2 big paper packet. Do all the MCQs and FRQs about Static Electricity
  
• p1 #2, 3; p3 #2; p5 #4~9; p16 #3; p19 #10; p23 #9, 10; p24#15; p25 #2.
• FRQ  2012.7 (deBroglie, fission, electric PE) 
  
• Chapter 17 Voltage  OPTIONAL +15
• Do not skip anything. This is a chapter you need to practice.
• You do not need to rewrite the things we went over together in the handout. Just write it in the handout once.
  
• Questions and MisConceptual (all) 
• Problems 11, 15 17, 23, 25, 26, 41, 55, 60, 71, 93. 
• Bonus: 46, 64, 65, 66.

• AP 2 big paper packet. Do all the MCQs and FRQs about Circuits
• p1 #1; p14 #25; p19 #11, 12; p22 # 3, 5; p23 #7.
  
• AP2 Unit 4 Circuits:  MANDATORY
• MCQA (20)
• MCQB (19)
• FRQ (2) self-score, see Drive
• FRQs  MANDATORY
• AP1: 
• v 2015.2 bulb filament nonohmic
• AP2: 
• v 2019.2 (internal R, ammeter, voltmeter)
  
• v2018.2 (C)^
• v2017.2 (resistivity, line)
• v2015.2 (simple bulbs parallel/series)
• AP Physics B:
• v2009B.4 (circuit temperature, thermo: gas piston PV) ^^
• AP1 Unit 9 Progress Checks and corrections: DC circuits  OPTIONAL
• MCQA (16) +5
• MCQB (16) +5
• FRQ (2) self-score, see Drive +5

• Chapter 18 Ohm's Law OPTIONAL +15
• Do at least 5 difficult problems.
• Questions and MisConceptual 
• Problems 8, 9, 17, 20, 23, 31, 35, 36, 42, 51, 61, 55, 66, 69, 71, 76, 89. 
• Search/Learn 3
• Bonus: Search/Learn 7.

• Chapter 19 Circuits OPTIONAL +10
• Read 19-4 "EMFs in Series and in Parallel; Charging a Battery". Write Example 19-9 and Exercise E. Summarize "Safety when Jump Starting".
• Read 19-7 "Electric Hazards". Actually, you should be reading all sections covered in class.
• Read 19-8 "Ammeters/Voltmeters". Write Examples 15~17.
• Questions and MisConceptual (try 5 each)
• Problems: 19, 35, 40, 44, 54, 56. (all)
• Remember to review the worksheet
• Bonus: 8, 61, 74. Search/Learn 4, 5.

• Some answers to your AP 2 practice packet. College Board AP Physics B: Sample multiple choice questions.  http://apcentral.collegeboard.com/apc/public/repository/ap-physics-course-description.pdf  Your homework begins on page 44: Sample Questions. 

• AP2: 
• v2016.4 (RC current, parallel plate U stored) ^
• AP Physics B:
• v2007B.3 (RC circuit) ^
• v2007.3 (RC steady state charge) ^
• v2003.2 (series C, R parallel) ^

• AP2 Unit 5 Electromagnetism:
• MCQA (17) Lorentz force
• 6 public FRQs about magnetism topics highlighted in blue (see below). Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B" . ^ = nice question
• AP2: 
• v2015.4 (electron through parallel plate capacitor and into B) ^
• AP Physics B:
• v2014.5 (EM balance, linear fit) ^
• v2008B.3 (current in wire and Bearth, and Pdissipated in R) ^
• v2013.6 (2 parallel currents) ^
• v2011B.5 (electron thru plates and B, like Thomson's e/m exp) ^
• (3 points, and thru B field) 
• v2007.2 (mass spectrometer particle thru plates, then B field) ^

• Chapter 20 Magnetism 
• Read the textbook.  Understand all the Examples and Exercises.
• Questions and MisConceptual (try at least 5 each)
• Problems: 12, 13, 31, 37, 72, 75, 78, 79, 83, 85, 87, 89. 
• Bonus: 24, 49, 50, 60, 88. Search/Learn 2.

• Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B" . ^ = nice question
• AP2: 
• v2021.3 (bulb, Faraday, energy)
• v2019.1 (electron in E, in B, in both)
  
• v2018.1 (motional emf, qvb) ^
• v2015.4 (electron through parallel plate capacitor and into B) ^
• AP Physics B:
• v2014.5 (EM balance, linear fit) ^
• 2008.3 (em balance)
• v2008B.3 (current in wire and Bearth, and Pdissipated in R) ^
• v2013.6 (2 parallel currents) ^
• 2010B.4 (equivalent resistors, B of wires)
• v2011B.5 (electron thru plates and B, like Thomson's e/m exp) ^
• v2011.5 (sphere in parallel plates, find gap meaning, then thru B)^
• 2009B. (3 points, and thru B field) ^
• v2007B.2 (particle thru B1, B2) ^
• v2007.2 (mass spectrometer particle thru plates, then B field) ^
• v2010.6 (motional emf) ^
• 2009.3 (motional emf/Faraday equivalence, pull rod on track, energy) ^^
• v2003.3 (motional emf/Faraday equivalence, pull rod on track, energy, projectile) ^
• v2004B. 4 (motional emf/Faraday, 20 turn coils, power dissipated) ^ - classwork
• v2004.3 (Faraday dB/dt) - classwork

• AP2 Unit 5 Electromagnetism:
• MCQA (17)
• MCQB (16) Faraday
• FRQ (2) self-score, see Drive

• Ch. 22 EM Waves: Questions and Misconceptual (all)
• The public FRQs about magnetism topics highlighted in pink. Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B" . ^ = nice question
• AP2: 
• v2021.3 (bulb, Faraday, energy)
• v2019.1 (electron in E, in B, in both)
  
• v2018.1 (motional emf, qvb) ^
• AP Physics B:
•  (electron thru plates and B, like Thomson's e/m exp) ^
• v2011.5 (sphere in parallel plates, find gap meaning, then thru B)^
• v2010.6 (motional emf) ^
• v2003.3 (motional emf/Faraday equivalence, pull rod on track, energy, projectile) ^
• v2004B. 4 (motional emf/Faraday, 20 turn coils, power dissipated) ^ - classwork
• v2004.3 (Faraday dB/dt) - classwork

• Finish reading Chapters 21~22.
• Chapter 21 Faraday  
• Questions and MisConceptual (try at least 7 each)
• Problems 6, 14, 17, 24, 27, 34, *44, *51, 82, 84, 88. (all. no skipping this time)
• Classwork:
• Bonus: Read Section 10 on inductance. Write example 13 and derive equation 21-10 for the special case of the solenoid from the example.

• EM Lab write-ups:
• E Labs
  1. ntq
  2. rheostat measurements
  3. internal resistance of battery, wire
  4. breadboard verification with the digital multimeter
  
• M Labs
  1. EM balance and finding mu_0
  2. ac vs. dc generator a) explain connection b) how to get equation c) check the numbers make sense
  3. Wheatstone bridge
  4. make a speaker/5. Explain the motor  OR
  6. fix the bell and 7. Verify capacitors 330microF and 100 microF in series with 3 V battery, using voltmeter to verify.
  6. Wheatstone bridge
  

• Complete these frqs
  
• Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B". ^ = nice question
• v = ch 23 hw: n, mirror reflection, lens, refraction
  
• v = ch 24 hw: diffraction, thin film
  
• AP2: 
• v 2019.4 (bubble rays, and rise buoyancy)
• v 2018.4 (fluid: float boat, vA, & optics: thin film)
• v 2017.3 (converging lens, optics track, ray diagram, real, ray through lens)^
• v 2016.2 (set up experiment. glass to n. & modern: hydrogen energy levels)^
• v 2015.1 (refract through air liquid glass, total internal reflection)- cw
  
• AP Physics B:
• v 2013.3 (Snell's Law D-lens experiment, line to find n, critical angle)^ 
• 2007B.6 (n water lab Snell's Law sin(theta) experiment, line)
• v 2006B.4 (D-cell refract, and double slit fringes) - cw
  
• 2006.4 (Snell's Law theta experiment, line, thin film)

• v 2010.5 (triangle prism rays refract, internal reflection, thin film) ^ - cw

• v 2008B.5 (converging lens track, ray diagrams, virtual) ^  
• v 2007.6 (converging lens 1/f  line) ^
• v 2003B.3 (2 convex lens on track, rays, virtual object ^^ - cw

• v 2008.6 (concave, convex mirror ray diagrams) ^ - cw
• 2003.4 (concave mirror on track experiment)

• v 2014.7 (thin film freq, wavlength in film, which is denser) ^
• 2010.5 c (triangle prism rays refract, internal refl, thin film) -- cw above
  
• v 2009B.5 (thin film and then layer on glass) ^

• v 2011B.3 (double slit Intensity vs. x, and as single slit) ^ - cw
  
• 2010B.5 (double slit, find y3, fill with n) ^
• 2009.6 (double slit, ydark, freq, change if in n)
• v 2005B.4 (find in phase sound interference frequency) ^
• 2004.4 (2 sounds, move place to hear min)
• 2005.4 (double slit, I(x))

• v 2011.3 (single slit experiment) ^

• Complete these 5 frqs
  
• Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B". ^ = nice question
• v = ch 23 hw: n, mirror reflection, lens, refraction
  
• AP2: 
• v 2017.3 (converging lens, optics track, ray diagram, real, ray through lens)^
• v 2016.2 (set up experiment. glass to n. & modern: hydrogen energy levels)^
• AP Physics B:
• v 2013.3 (Snell's Law D-lens experiment, line to find n, critical angle)^ 

• v 2008B.5 (converging lens track, ray diagrams, virtual) ^  
• v 2007.6 (converging lens 1/f  line) ^

• Complete these 7 frqs
  
• Write on paper. These are different from the AP classroom frqs. Solutions are posted in links. For 2014 and earlier, be careful to distinguish "Form B". ^ = nice question
• v = ch 24 hw: diffraction, thin film
  
• AP2: 
• v 2019.4 (bubble rays, and rise buoyancy)
• v 2018.4 (fluid: float boat, vA, & optics: thin film)
• AP Physics B:
• v 2006B.4 (D-cell refract, and double slit fringes) - cw
  

• v 2014.7 (thin film freq, wavlength in film, which is denser) ^
• v 2009B.5 (thin film and then layer on glass) ^

• cw 2011B.3 (double slit Intensity vs. x, and as single slit)
  
• v 2005B.4 (find in phase sound interference frequency) ^

• v 2011.3 (single slit experiment) ^

• Chapters 23~24 (25). Optics.

• AP2 Unit 6 Optics: MANDATORY
• MCQA (17)
• MCQB (17)
• MCQC (17)
  
• FRQ (2) self-score, see Drive
• Bonus: Ch. 23, 24, 25, textbook questions (see list below)
  

• Chapter 23 Rays
  
• Read the chapter, especially Examples 2, 3, 6~9, D, E, 11~16.
• Questions 1, 4~9, 11, 12, 14, 16~21, 23~25 (all)
• MisConceptual (at least 5)
• Problems 11, 22, 27, 32, 46, 48, 49, 61, 70, 71, 86. Bonus: 62, 67. (at least 5, but cannot skip 11, 48, 61)
• Search/Learn 7. Bonus: 8.

• Chapter 24 Diffraction/Thin Film/Polarization
• Questions 2~19, 22, 24.  [try at least 5]
• MisConceptual 1~12. [try at least 5]
• Problems 10, 39, 48, 50, 52, 57, 64, 82, 83 (hint: single), 87 (hint: grating), 88 (hint: single), 94 (hint: Brewster). [try all]

• Chapter 25 Optical Instruments (Please overview at home)
• Do all.
• Questions 17, 18, 19, 20.
• MisConceptual 1, 2, 4, 5, 6, 8, 12, 13.
• Bonus: 
• Problems 13, 16, 51, 61. Search/Learn 5. 
• Bonus: Search/Learn 4.

• AP Physics 1 and 2 Sample Questions 2014 
  
• AP Physics 1 and 2 Course Description 2014
• AP Physics 1 Course Description 2019 MCQs (starts on page 215) and FRQs (solutions)
• AP Physics 2 Course Description 2019 MCQs (starts on page 219) and FRQs (solutions)

• AP1 FRQ Answers 2019 and previous
• AP2 FRQ Answers 2019 and previous
• APB FRQ Answers

• 4/11 Monday online:
• Optics hints
  
• Modern review
  
• Study Hall Monday~Tuesday:
• Optics Test part 2 and part 1 chance
  
• 4/13 Wednesday~Th in class: corrections of
  
• Magnetism
  
• Electricity
  
• Thermodynamics ~
  
• Fluid ~
  
• Optics
• Modern
  

• HW due 4/18 Monday MCQs: 
• 2017 AP Physics 2 Exam on AP classroom

• Study Hall Monday~Tuesday: AP 2 FRQ packet -- self score
  
• 4/20 Wednesday in class: 
• AP Physics 2 MCQ exam -- test grade

• HW due Thursday 4/21:
  
• AP Physics 1 Practice #2 on AP classroom MCQs and FRQ 1,4
  
• 4/21 Thursday in class: corrections of
• January AP 1 final
• SHM, Sound, Waves
  
• Read over
• Rotations
• Momentum and Energy
• Gravity and Circles
• Kinematics and Forces
  

• HW due Monday 4/25 FRQs: public pdfs
• 2021.1~4, 2019.1, 2015.5
• Jot down notes from re-reading: 2021.5, 2018.1, 2017.3, 2017.5, 2016.1
  
• 4/27 Wednesday in class: 
• AP Physics 1 MCQ exam -- test grade
• Study Hall Monday~Tuesday: AP 1 FRQ packet -- self score
• 4/25 Monday: corrections
• 4/28 Thursday: Corrections
• HW due Monday 5/02 FRQs: AP Physics 2 public pdfs
• see below
  

• Online AP2 Classroom FRQs. Self-score and correct it.
  
• 2017.2, 4
• 2018.1b, 3, 4
• Finish the other 50 questions A~Z, alpha, beta... in the AP 1 mcq packet. Check answers
• AP 1 frq paper, 2 sheets
  about fan experimental design discussed in class and pulley (read/redo)
  On the back blank sides, jot down notes from reading the rubric solutions to:
  secure AP 1 frqs
  2019.1, 2, 4 (this is online in AP classroom as well)
  2018.2, 3, 4
  If you remember how to do them, just write what topic the frq is about. If you forgot, re-do them on the blank side. Turn in this paper.
  

🍀 GOOD LUCK 🍀

• Sample Question answers
• AP Physics 1 Course Description MCQs (starts on page 215) and FRQs (solutions)
• AP Physics 2 Course Description MCQs (starts on page 219) and FRQs (solutions)
• AP1 FRQ Answers
• AP2 FRQ Answers
• APB FRQ Answers

• AP Physics 1
• 50% MCQ  (90 minutes)
• 45 single-select
• 5 multi-select
• 50% FRQ  (5 in 90 minutes)
• 1 Experimental Design (12 points)
• 1 Qualitative/Quantitative Translation (12 points)
• 1 Paragraph Argument Short Answer (7 points)
• 2 Short Answer (7 points each)
• AP 1 Formula Sheet   Exam Weighting
  
• A four-function, scientific, or graphing calculator is allowed on both sections of the exam.

• Topics:
• Unit 1: Kinematics 12–18%
• Unit 2: Dynamics 16–20%
• Unit 3: Circular Motion and Gravitation 6–8%
• Unit 4: Energy 20–28%
• Unit 5: Momentum 12–18%
• Unit 6: Simple Harmonic Motion 4–6% 
• Unit 7: Torque and Rotational Motion 12–18%
• moved to AP2
• Electric Charge and Electric Force
  
• DC Circuits
• Mechanical Waves and Sound
  

• AP Physics 2
• 50% MCQ  (90 minutes)
• 45 single-select
• 5 multi-select
• 50% FRQ  (4 in 90 minutes)
• 1 Experimental Design (12 points)
• 1 Qualitative/Quantitative Translation (12 points)
• 1 Paragraph Argument Short Answer (10 points)
• 1 Short Answer (10 points)
• AP 2 Formula Sheet   Exam Weighting
  
• A four-function, scientific, or graphing calculator is allowed on both sections of the exam.
• Topics:
• Unit 1: Fluids 10–12%
• Unit 2: Thermodynamics 12–18%
• Unit 3: Electric Force, Field, and Potential 18–22%
• Unit 4: Electric Circuits 10–14%
• Unit 5: Magnetism and Electromagnetic Induction 10–12%
• Unit 6: Geometric and Physical Optics with mechanical waves and sound 12–14%
• Unit 7: Quantum, Atomic, and Nuclear Physics 10–12%

• 4/12 Monday in class:
• Correct Optics Test
• Modern
• Rotate
• Study Hall Monday~Tuesday:
• AP 1 FRQ packet
• 4/14 Wednesday: AP 2 MCQ packet
• 4/15 Thursday: Corrections

• 4/19 Monday in class:
• Energy
• Fluid
• Study Hall Monday~Tuesday:
• AP 2 FRQ packet
• 4/21 Wednesday: AP 1 MCQ packet
• 4/22 Thursday: Corrections

• 4/26 Monday in class:
• Kinematics
• Thermodynamics
• Study Hall Monday~Tuesday: AP 1 MCQ packet
• 4/28 Wednesday: AP 2 MCQ packet
• 4/29 Thursday: Corrections

🍀 GOOD LUCK 🍀

• Sample Question answers
• AP Physics 1 Course Description MCQs (starts on page 215) and FRQs (solutions)
• AP Physics 2 Course Description MCQs (starts on page 219) and FRQs (solutions)
• AP1 FRQ Answers
• AP2 FRQ Answers
• APB FRQ Answers

• AP Physics 1
• 50% MCQ  (90 minutes)
• 45 single-select
• 5 multi-select
• 50% FRQ  (5 in 90 minutes)
• 1 Experimental Design (12 points)
• 1 Qualitative/Quantitative Translation (12 points)
• 1 Paragraph Argument Short Answer (7 points)
• 2 Short Answer (7 points each)
• AP 1 Formula Sheet   Exam Weighting
  
• A four-function, scientific, or graphing calculator is allowed on both sections of the exam.

• Topics:
• Unit 1: Kinematics 10–16%
• Unit 2: Dynamics 12–18%
• Unit 3: Circular Motion and Gravitation 4–6%
• Unit 4: Energy 16–24%
• Unit 5: Momentum 10–16%
• Unit 6: Simple Harmonic Motion 2–4%
• Unit 7: Torque and Rotational Motion 10–16%
• Unit 8: Electric Charge and Electric Force 4–6%
• Unit 9: DC Circuits 6–8%
• Unit 10: Mechanical Waves and Sound 12–16%

• AP Physics 2
• 50% MCQ  (90 minutes)
• 45 single-select
• 5 multi-select
• 50% FRQ  (4 in 90 minutes)
• 1 Experimental Design (12 points)
• 1 Qualitative/Quantitative Translation (12 points)
• 1 Paragraph Argument Short Answer (10 points)
• 1 Short Answer (10 points)
• AP 2 Formula Sheet   Exam Weighting
  
• A four-function, scientific, or graphing calculator is allowed on both sections of the exam.
• Topics:
• Unit 1: Fluids 10–12%
• Unit 2: Thermodynamics 12–18%
• Unit 3: Electric Force, Field, and Potential 18–22%
• Unit 4: Electric Circuits 10–14%
• Unit 5: Magnetism and Electromagnetic Induction 10–12%
• Unit 6: Geometric and Physical Optics 12–14%
• Unit 7: Quantum, Atomic, and Nuclear Physics 10–12%

1. Electrostatic demo questions
2. Equipotentials and Electric Fields
3. Rheostat lamp dimmer or graphite music
4. Wheatstone Bridge
5. % error for standing wave on string and mu from desmos, mu from grams/length
6. Series/parallel circuit measurements
7. Classroom circuit diagram
8. Is it ohmic? and light up without a wire, use foil
9. Internal resistance of a battery and the wire.
10. Oscilloscope and RC measurement
11. Half-wave rectifier, blinker, blinker and nice animation,  switch and arduino 

• Review the HS Magnetism Lab (Demo Activities quickly)
• Emphasize i^2 r loss over power lines, domain, atom mini-magnet, (G7 ppt), helical path and sinetheta/cross-product result (APC), mass spectrometer, Gaussian shield and coaxial cable shielding B (APC), Giancoli Example 21-4 relating Lorentz and Faraday, Power of hand and dissipation in circuit.
• Diagram of how horseshoe electromagnet works
• Diagram of how recording (ticker) timer works
• Take a mini-motor apart. Diagram how it works.
• Make a speaker. (Need to buy earphone input wires)
• EM Balance (use lab equipment), Demo Lorentz Force
• Wheatstone Bridge