DISTRICT CAMPUS

## GT/AP Calculus

Test #15 (through Lesson 60)

1. Area Between Two Curves (Lesson 60 #8, #9)
2. Properties of Integrals (Lesson 60 #12, Lesson 59 #12, Lesson 58 #9, #10)
3. Position/Velocity/Acceleration (Lesson 60 #4)
4. Integration (Guess & Check or U-Substitution) (Lesson 60 #5)
5. Area Under a Curve (Lesson 60 #10)
6. Derivative w/ U-Substitution (Lesson 60 #15, #16, #17)
7. Inverse Function (Lesson 60 #13)
8. Maximize Area of Rectangle Inside a Circle (Lesson 58 #1)
9. Slope of Tangent Line (Lesson 60 #19)
10. Sketch f Given f’ (Lesson 57 #18, #19, Lesson 53 #20, Lesson 61 #7)
11. Increasing/Decreasing & Concavity (Lesson 60 #20)
12. Related Rate (Lesson 58 #4)
13. Related Rate (Lesson 47 #1)
14. Sketch Piecewise Function
15. Position/Velocity/Acceleration (Lesson 58 #5)

Test #14 (through Lesson 56)

1. Graph of Rational Function (Lesson 56 #19)
2. Related Rates Problem (Lesson 55 #14)
3. Area under a Curve (Lesson 56 #21, #22)
4. Position/Velocity/Acceleration (Lesson 56 #3)
5. Position/Velocity/Acceleration (Lesson 56 #4)
6. Integration (Lesson 56 #8, #10)
7. Product Rule for Derivatives (Lesson 54 #18)
8. Concavity (Lesson 55 #13)
9. Normal Line (Lesson 57 #21)
10. Area Under a Curve (Exact AND Infinite Number of Rectangles) (Lesson 43 #3)
11. Derivative (Lesson 56 #13)
12. Derivative (Lesson 55 #10, #11)
13. Derivative (Lesson 53 #17)
14. Derivative (Lesson 53 #18)
15. Differentiate using U-Substitution (Lesson 53 #19)

Test #13 (through Lesson 52)

1. Quotient Rule for Derivatives (Lesson 52 #12)
2. Indefinite Integral—Guess & Check (Lesson 52 #5, #7, #9)
3. Definition of Derivative (Lesson 52 #18)
4. Area Under a Curve (Lesson 49 #5 & #6)
5. Derivatives of Trig Functions—Need to know: Sin, Cos, Tan, Csc, Sec, Cot
6. Inflection Points (Lesson 51 #4)
7. Domain (Lesson 52 #20)
8. Derivative Using Product Rule (Lesson 52 #13)
9. Evaluate a Limit (Lesson 54 #21)
10. Derivative (Lesson 52 #10)
11. Sketch Function & Indicate Special Characteristics—Lesson 49 (Lesson 56 #18)
12. Maximize Area (Lesson 52 #3)
13. Derivative (Lesson 51 #16)
14. Derivative (Lesson 51 #15)
15. Integrate (Lesson 48 #17)
16. Related Rates Problem (Lesson 51 #1)
17. Position, Velocity, Acceleration (Lesson 48 #16)

Test #11 (through Lesson 44)

1. u-Substitution or Chain Rule (Lesson 44 #3)
2. Quotient Rule (Lesson 44 #9, #10)
3. Limits (Lesson 44 #21)
4. Inverse Trig: Arcsin(-1/2)=?
5. Translation of Graph (Lesson 44 #22)
6. Alternate Definition of Derivative (Lesson 44 #6)
7. Chain Rule (Lesson 44 #4)
8. Integrate (Lesson 44 #14, #15)
9. Approximate a Derivative (Lesson 41 #11)
10. Graph of Rational Function (Lesson 44 #11, Lesson 41 #2, #3)
11. Graph of Sin/Csc OR Cos/Sec (Lesson 30)
12. Exact Area Under a Curve with n→ infinity (Lesson 44 #7, #8)
13. Position, Velocity, Acceleration (Lesson 44 #12)
14. Lower Sum Under the Curve (Lesson 41 #10)
15. Integrate (Lesson 39 #4, #5)
16. Integrate (Lesson 40 #10, #11, #12)
17. Integrate (Lesson 41 #13, #14, #15)

Test #10 (through Lesson 40)

1. Integrate (Lesson 40 #10 & #11)
2. Derivative (Lesson 40 #13 #14 & #15)
3. Particle’s position, velocity, & acceleration (Lesson 40 #2)
4. Second Derivative (Lesson 40 #18)
5. Integrate (Lesson 39 #4 & #5)
6. Normal Line (Lesson 40 #3, Lesson 41 #6)
7. Simplify Trig Expression (Lesson 40 #23)
8. Approximate Max on an Interval (Lesson 40 #8)
9. Differentials (Lesson 40 #17)
10. Limit of a Function (Lesson 35 #14, Lesson 44 #21)
11. Area Under a Curve w/ Rectangles! (Lesson 39 #1, #2, & #3, Lesson 40 #6 & #7)
12. Particle’s position, velocity, & acceleration (Lesson 43 #10)
13. Derivative
14. u-Substitution (Lesson 39 #7)
15. u-Substitution (Lesson 39 #6 & #8)
16. Integrate

Test #9 (through Lesson 36)

1. Antiderivative (Lesson 36 #4, #5, #6)
2. Graphing Functions (Lesson 36 #12)
3. Indefinite Integral (Lesson 35 #3, #4, #5, #6)
4. Critical Numbers (Lesson 36 #2, #3)
5. Limit of a Function (Lesson 36 #20)
6. Critical Numbers (Lesson 37 #8)
7. Implicit Differentiation (Lesson 36 #7, Lesson 35 #7, Lesson 34 #2)
8. Slope of Tangent Line (Lesson 36 #10)
9. Conic (Lesson 35 #23, Lesson 32 #15)
10. Change of Base (Lesson 33 # 16)
11. Graph of Rational Function (Lesson 36 #15)
12. Use words to explain the behavior of a graph (Lesson 36 #13)
13. Graph of Rational Functions (Lesson 34 #16)
14. Product Rule (Lesson 34 #11 & #12)
15. Implicit Differentiation (Lesson 37 #12)
16. Integrate (Lesson 37 #9 & #10)

Test #8 (through Lesson 32)

1. Equation of Tangent Line (Lesson 31 #12)
2. Composition of Function
3. Zeros of Functions (Lesson 31 #11)
4. Antiderivative (Lesson 32 #3 & #4)
5. Differentials with Product Rule (find dy) (Lesson 32 #9 & #10)
6. Volume of a box in terms of x (Lesson 31 #1)
7. Find sin(A – B)
8. Find ’’(x) with Product Rule (Lesson 33 #9 but take second derivative)
9. Identify & Graph Conic—ellipse (Lesson 31 #18)
10. Trig Equation (Lesson 29 #12)
11. State Zeros & Asymptotes of Rational Function (Lesson 32 #13)
12. Sketch graph of cot(x) (page 165)
13. Differentials (find dy)
14. Differentials (find dy)
15. Definition of Derivative (Show your work!!)
16. Integrate

Test #7 (through Lesson 28)

1. Derivative with GC (Lesson 28 #7)
2. Definition of the Derivative (Lesson 28 #9)
3. Third Derivative of Function (Lesson 27 #6, #7 #8)
4. Derivative of Polynomials (Lesson 27 #2, #3, #4)
5. Limit of a Function—from L or R     lim x→ -5+  (x2 + 4x – 5)/(x4 + 5x3) (Lesson 28 #15)
6. A(t) = A0ekt Exponential Growth or Decay (Lesson 28 #1)
7. Sketch a Graph of Function
8. Double Angle Identify
9. Sketch Graph of Rational Function (Lesson 28 #2 #3)
10. Log Equation (Lesson 28 #14)
11. Remainder Theorem (Lesson 28 #13)
12. Definition of the Derivative—SHOW WORK
13. Derivative of Functions (Lesson 25 #8)
14. Derivative of Functions
15. Derivative of Functions
16. Derivative of Functions
17. Derivative of Functions

Test #6 (through Lesson 24)

1. Binomial Expansion (Lesson 24, #10)
2. Translating a Graph based on Equation
3. Translation of Graph (Lesson 24, #13)
4. Limit → ∞ (Lesson 24, #18 & Lesson 23, #14 & 16)
5. Approximate Zeros of a Polynomial
6. Solve Trig Equation (Lesson 24, #8)
7. Distance between a Point & Curve (Lesson 25, #1)
8. Show that (Need to know sin2x + cos2x = 1)
9. Find Derivative of Function (Lesson 24, #2-#6)
10. Identify and graph BY HAND a Conic (Hyperbola) https://www.youtube.com/watch?v=E9jVNc4Phhg
11. Domain (Lesson 24 #16)
12. Definition of the Derivative
13. Definition of the Derivative
14. Definition of the Derivative
15. Definition of the Derivative

Test #4

1. Evaluate Limit
2. Domain
3. Use Double-Angle Identities
4. Postive/Negative Intervals
5. Sketch sin-1, cos-1, AND tan-1 (Page 84)
6. Word Problem
7. Definition of the Derivative
8. Solve Exponential Equation
9. Expand Log/Ln
10. Solve Absolute Value Equation & Graph Solution
11. Solve Trig Equation (sin2x + cos2x = 1 will be needed)
12. Graph absolute value function
13. Limit from a graph
14. Limit from a graph
15. Limit from a graph
16. Limit from a graph
17. Limit from a graph
18. Limit from a graph
19. Limit from a graph
20. Limit from a graph

https://calcworkshop.com/limits/finding-limits-graphically/

Test #3

1. Domain
2. Limit of a graph
3. Possible Rational Roots
4. Sketch an Absolute Value Function
5. Graph a Piecewise Functions
6. Find Dimensions of a Rectangle & Square
7. Evaluate a function
8. Log Equation
9. Quadratic Equation with Given Roots
10. Use a Tangent Identity
11. Remainder Theorem
12. Develop a Double-Angle Identity
13. Evaluate a Trig Expression
14. Solve an Equation
15. Points of Intersection (GC)
16. Zeros of a Function (GC)
17. Simplify Exponents

Test #2

1. Graphing Exponential
2. Definition of a Function
3. Coordinates of point P
4. Evaluate Trig Expression
5. Similar Triangles
6. Area of the region in terms of x
7. Linear Variation
8. [f(x + h) – f(x)]/h
9. Point of Intersection (GC)
10. Domain & Range
11. Graph Sinusoid
12. Develop an Identity
13. Factor to solve for x
14. Multiply Expressions
15. Find Zeros (GC)
16. Simplify Trig Expression

Test #1

1. Simplify Trig Expressions
2. Sum & Difference of Cubes
3. Equation of Line
4. Evaluate Trig Expression
5. Summation
6. System of Equations
7. Factorials
8. Converse, Inverse, & Contrapositive
9. Complex Fraction
10. Perpendicular Lines
12. Graphing Calculator Questions (Intersection of two curves)
13. Distance Formula
14. Rationalizing Fractions
16. Simplifying Exponents  