Get ready for AP® Calculus
9 units213 videos20 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Get ready for limits and continuity
Evaluating functions
Inputs and outputs of a function
Composing functions
Piecewise functions
Introduction to factoring
Factoring quadratics intro
Factoring quadratics by grouping
Factoring quadratics with difference of squares
Factoring quadratics with perfect squares
Perfect square factorization intro ✓ Check-ins5:19
Factoring perfect squares ✓ Check-ins4:54
Identifying perfect square form ✓ Check-ins4:37
Factoring perfect squares: negative common factor ✓ Check-ins3:52
Factoring perfect squares: missing values ✓ Check-ins2:39
Factoring perfect squares: shared factors ✓ Check-ins4:26
Factoring higher degree polynomials
Introduction to the trigonometric ratios
The reciprocal trigonometric ratios
Unit circle introduction
Radians
The Pythagorean identity
Special trigonometric values in the first quadrant
Trigonometric identities on the unit circle
Angle addition identities
Reducing rational expressions to lowest terms
End behavior of rational functions
Discontinuities of rational functions
Multiplying and dividing rational expressions
Unit 2: Get ready for differentiation: definition and basic derivative rules
Intro to slope-intercept form
Writing slope-intercept equations
Point-slope form
Average rate of change
Rational exponents
Properties of exponents
Introduction to logarithms
Unit 3: Get ready for differentiation: composite, implicit, and inverse functions
Composing functions
Intro to composing functions ✓ Check-ins6:15
Evaluating composite functions ✓ Check-ins4:10
Evaluating composite functions: using tables ✓ Check-ins4:10
Evaluating composite functions: using graphs ✓ Check-ins3:02
Finding composite functions ✓ Check-ins2:57
Evaluating composite functions (advanced) ✓ Check-ins4:11
Linear equations with unknown coefficients
Intro to inverse functions
Invertible functions
Inverse trigonometric functions
Inverse functions in graphs and tables
Unit 4: Get ready for contextual applications of differentiation
Word problems with multiple units
Linear equations word problems
Interpreting function notation
Average rate of change word problems
Modeling with composite functions
Modeling with right triangles
Unit 5: Get ready for applying derivatives to analyze functions
Maximum and minimum points
Intervals where a function is positive, negative, increasing, or decreasing
Interpreting features of graphs
Distance formula
Square-root equations
Zeros of polynomials
Zeros of polynomials introduction ✓ Check-ins5:09
Zeros of polynomials: plotting zeros ✓ Check-ins3:19
Zeros of polynomials: matching equation to zeros ✓ Check-ins3:51
Zeros of polynomials: matching equation to graph ✓ Check-ins3:01
Zeros of polynomials (with factoring): grouping ✓ Check-ins4:55
Zeros of polynomials (with factoring): common factor ✓ Check-ins3:32
Positive and negative intervals of polynomials
Unit 6: Get ready for integration and accumulation of change
Completing the square
Completing the square ✓ Check-ins14:06
Worked example: Completing the square (intro) ✓ Check-ins3:22
Worked example: Rewriting expressions by completing the square ✓ Check-ins3:02
Worked example: Rewriting & solving equations by completing the square ✓ Check-ins6:19
Worked example: completing the square (leading coefficient ≠ 1) ✓ Check-ins5:44
Dividing quadratics by linear factors
Dividing polynomials by linear factors
Partial fraction expansion
Summation notation
Unit 7: Get ready for applications of integration
Rational equations
Square-root equations
Extraneous solutions
Sinusoidal equations
Manipulating formulas
Solving equations by graphing
2D vs. 3D objects
Cavalieri's principle and dissection methods
Unit 8: Get ready for parametric equations, polar coordinates, and vector-valued functions (BC only)
Vectors introduction
Vector components
Magnitude of vectors
Scalar multiplication
Direction of vectors
Vector components from magnitude & direction
Unit 9: Get ready for infinite sequences and series (BC only)
Arithmetic sequences
Geometric sequences
Summation notation
Arithmetic series
Arithmetic series intro ✓ Check-ins3:56
Arithmetic series formula ✓ Check-ins7:47
Worked example: arithmetic series (sigma notation) ✓ Check-ins7:02
Worked example: arithmetic series (sum expression) ✓ Check-ins6:47
Worked example: arithmetic series (recursive formula) ✓ Check-ins5:21
Proof of finite arithmetic series formula ✓ Check-ins3:32
Geometric series
Geometric series introduction ✓ Check-ins6:17
Finite geometric series formula ✓ Check-ins7:15
Worked examples: finite geometric series ✓ Check-ins6:55
Geometric series word problems: swing ✓ Check-ins5:52
Geometric series word problems: hike ✓ Check-ins6:30
Geometric series with sigma notation ✓ Check-ins4:28
Worked example: finite geometric series (sigma notation) ✓ Check-ins2:48
End behavior of rational functions
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
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