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GT/AP Calculus

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
  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://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-3/e/two-sided-limits-from-graphs

 

https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-3/a/approximating-limit-values-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
  11. Quadratic Formula
  12. Graphing Calculator Questions (Intersection of two curves)
  13. Distance Formula
  14. Rationalizing Fractions
  15. Simplifying Radicals
  16. Simplifying Exponents

 

https://www.google.com/imgres?imgurl=https%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fcommons%2Fthumb%2Fc%2Fc9%2FUnit_circle_angles.svg%2F720px-Unit_circle_angles.svg.png&imgrefurl=https%3A%2F%2Fen.wikibooks.org%2Fwiki%2FTrigonometry%2FTrigonometric_Unit_Circle_and_Graph_Reference&docid=QG4XqAmcN5dozM&tbnid=Oeo5GOQ0YHmFvM%3A&vet=10ahUKEwj-8qixh7rkAhUNP6wKHblWCrYQMwhzKAEwAQ..i&w=720&h=720&safe=active&bih=969&biw=1920&q=unit%20circle&ved=0ahUKEwj-8qixh7rkAhUNP6wKHblWCrYQMwhzKAEwAQ&iact=mrc&uact=8

 

https://www.google.com/imgres?imgurl=https%3A%2F%2Fi.pinimg.com%2Foriginals%2F4a%2F76%2F71%2F4a767121ecfd926be5af413ee207c6a5.jpg&imgrefurl=https%3A%2F%2Fwww.pinterest.com%2Fpin%2F458100593341941515%2F&docid=PikN-Rt8s-uaRM&tbnid=VKuw1loMSBj3aM%3A&vet=10ahUKEwj-8qixh7rkAhUNP6wKHblWCrYQMwiUASgVMBU..i&w=2564&h=3314&safe=active&bih=969&biw=1920&q=unit%20circle&ved=0ahUKEwj-8qixh7rkAhUNP6wKHblWCrYQMwiUASgVMBU&iact=mrc&uact=8

 

Helpful links:

https://www.zweigmedia.com/RealWorld/calctopic1/derivgraphex.html

https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-9/e/connecting-function-and-derivatives

http://webspace.ship.edu/msrenault/GeoGebraCalculus/derivative_first_second.html