Chapter 1: Functions
Mathematics Calculus: Functions
-
1
Find values of functions from graphs
Find values of functions from graphs
15 min -
2
Add, subtract, multiply, and divide functions
Add, subtract, multiply, and divide functions
15 min -
3
Composition of functions
Composition of functions
15 min -
4
Identify inverse functions
Identify inverse functions
15 min -
5
Find values of inverse functions from tables
Find values of inverse functions from tables
15 min -
6
Find values of inverse functions from graphs
Find values of inverse functions from graphs
15 min -
7
Find inverse functions and relations
Find inverse functions and relations
15 min -
8
Find values using function graphs
Find values using function graphs
15 min -
9
Linear functions
Linear functions
15 min -
10
Average rate of change
Average rate of change
15 min -
11
Complete a table for a function graph
Complete a table for a function graph
15 min
Chapter 2: Families of functions
Mathematics Calculus: Families of functions
-
1
Function transformation rules
Function transformation rules
15 min -
2
Translations of functions
Translations of functions
15 min -
3
Reflections of functions
Reflections of functions
15 min -
4
Dilations of functions
Dilations of functions
15 min -
5
Transformations of functions
Transformations of functions
15 min -
6
Describe function transformations
Describe function transformations
15 min -
7
Solve a system of equations by graphing: word problems (Tutorial only)
Solve a system of equations by graphing: word problems (Tutorial only)
15 min -
8
Solve a system of equations by graphing (Tutorial only)
Solve a system of equations by graphing (Tutorial only)
15 min -
9
Solve a system of equations using substitution: word problems
Solve a system of equations using substitution: word problems
15 min -
10
Solve a system of equations using elimination
Solve a system of equations using elimination
15 min
Chapter 3: Trigonometric functions
Mathematics Calculus: Trigonometric functions
-
1
Convert between radians and degrees
Convert between radians and degrees
15 min -
2
Quadrants
Quadrants
15 min -
3
Coterminal and reference angles
Coterminal and reference angles
15 min -
4
Find trigonometric ratios using right triangles
Find trigonometric ratios using right triangles
15 min -
5
Find trigonometric ratios using the unit circle
Find trigonometric ratios using the unit circle
15 min -
6
Find trigonometric ratios using reference angles
Find trigonometric ratios using reference angles
15 min -
7
Inverses of trigonometric functions
Inverses of trigonometric functions
15 min -
8
Find properties of sine functions
Find properties of sine functions
15 min -
9
Write equations of sine functions from graphs
Write equations of sine functions from graphs
15 min -
10
Write equations of sine functions using properties
Write equations of sine functions using properties
15 min -
11
Graph sine functions
Graph sine functions
15 min -
12
Find properties of cosine functions
Find properties of cosine functions
15 min -
13
Write equations of cosine functions from graphs
Write equations of cosine functions from graphs
15 min -
14
Write equations of cosine functions using properties
Write equations of cosine functions using properties
15 min -
15
Graph cosine functions
Graph cosine functions
15 min -
16
Graph sine and cosine functions
Graph sine and cosine functions
15 min
Chapter 5: Introduction to limits
Mathematics Calculus: Introduction to limits
-
1
Find limits using graphs
Find limits using graphs
15 min -
2
Find one-sided limits using graphs
Find one-sided limits using graphs
15 min -
3
Determine if a limit exists
Determine if a limit exists
15 min -
4
Count on twenty frames (up to 20)
Count on twenty frames (up to 20)
15 min -
5
Represent numbers (up to 20)
Represent numbers (up to 20)
15 min
Chapter 6: Calculate limits
Mathematics Calculus: Calculate limits
-
1
Find limits using addition, subtraction, and multiplication laws
Find limits using addition, subtraction, and multiplication laws
15 min -
2
Find limits using the division law
Find limits using the division law
15 min -
3
Find limits using power and root laws
Find limits using power and root laws
15 min -
4
Find limits using limit laws
Find limits using limit laws
15 min -
5
Find limits of polynomials and rational functions
Find limits of polynomials and rational functions
15 min -
6
Find limits involving factorization and rationalization
Find limits involving factorization and rationalization
15 min -
7
Find terms of a recursive sequence
Find terms of a recursive sequence
15 min -
8
Convert a recursive formula to an explicit formula
Convert a recursive formula to an explicit formula
15 min -
9
Find recursive and explicit formulas
Find recursive and explicit formulas
15 min -
10
Convert between explicit and recursive formulas
Convert between explicit and recursive formulas
15 min -
11
Convert an explicit formula to a recursive formula
Convert an explicit formula to a recursive formula
15 min -
12
Introduction to partial sums
Introduction to partial sums
15 min -
13
Find the sum of a finite arithmetic or geometric series
Find the sum of a finite arithmetic or geometric series
15 min -
14
Partial sums of geometric series
Partial sums of geometric series
15 min -
15
Partial sums of arithmetic series
Partial sums of arithmetic series
15 min -
16
Find the value of an infinite geometric series
Find the value of an infinite geometric series
15 min -
17
Partial sums mixed review
Partial sums mixed review
15 min
Chapter 7: Limits involving infinity
Mathematics Calculus: Limits involving infinity
-
1
Find limits at vertical asymptotes using graphs
Find limits at vertical asymptotes using graphs
15 min -
2
Determine end behavior using graphs
Determine end behavior using graphs
15 min -
3
Determine end behavior of polynomial and rational functions
Determine end behavior of polynomial and rational functions
15 min -
4
Calculate probabilities of events
Calculate probabilities of events
15 min -
5
Find probabilities using twoway frequency tables
Find probabilities using twoway frequency tables
15 min -
6
Find probabilities using combinations and permutations
Find probabilities using combinations and permutations
15 min -
7
Find conditional probabilities
Find conditional probabilities
15 min -
8
Independence and conditional probability
Independence and conditional probability
15 min -
9
Find conditional probabilities using two-way frequency tables
Find conditional probabilities using two-way frequency tables
15 min -
10
Find probabilities using the addition rule
Find probabilities using the addition rule
15 min
Chapter 8: Rational functions
Mathematics Calculus: Rational functions
-
1
Find the limit at a vertical asymptote of a rational function I
Find the limit at a vertical asymptote of a rational function I
15 min -
2
Find the limit at a vertical asymptote of a rational function II
Find the limit at a vertical asymptote of a rational function II
15 min -
3
Graph a discrete probability distribution (Tutorial Only)
Graph a discrete probability distribution (Tutorial Only)
15 min -
4
Expected values of random variables
Expected values of random variables
15 min -
5
Write the probability distribution for a game of chance
Write the probability distribution for a game of chance
15 min -
6
Variance and standard deviation of random variables
Variance and standard deviation of random variables
15 min -
7
Expected values for a game of chance
Expected values for a game of chance
15 min -
8
Choose the better bet
Choose the better bet
15 min -
9
Mean variance and standard deviation of binomial distributions
Mean variance and standard deviation of binomial distributions
15 min -
10
Find probabilities using the binomial distribution
Find probabilities using the binomial distribution
15 min -
11
Find z-values
Find z-values
15 min -
12
Find probabilities using the normal distribution
Find probabilities using the normal distribution
15 min -
13
Distributions of sample means
Distributions of sample means
15 min -
14
Find values of normal variables
Find values of normal variables
15 min -
15
Use normal distributions to approximate binomial distributions
Use normal distributions to approximate binomial distributions
15 min -
16
The Central Limit Theorem
The Central Limit Theorem
15 min -
17
Rational functions asymptotes and excluded values
Rational functions asymptotes and excluded values
15 min -
18
Solve rational equations
Solve rational equations
15 min
Chapter 9: Continuity
Mathematics Calculus: Continuity
-
1
Identify graphs of continuous functions
Identify graphs of continuous functions
15 min -
2
Determine continuity using graphs
Determine continuity using graphs
15 min -
3
Determine one-sided continuity using graphs
Determine one-sided continuity using graphs
15 min -
4
Find and analyze points of discontinuity using graphs
Find and analyze points of discontinuity using graphs
15 min -
5
Determine continuity on an interval using graphs
Determine continuity on an interval using graphs
15 min -
6
Determine the continuity of a piecewise defined function at a point
Determine the continuity of a piecewise defined function at a point
15 min -
7
Intermediate Value Theorem
Intermediate Value Theorem
15 min -
8
Calculate correlation coefficients
Calculate correlation coefficients
15 min -
9
Interpret regression lines
Interpret regression lines
15 min -
10
Analyze a regression line of a data set
Analyze a regression line of a data set
15 min -
11
Find confidence intervals for population means
Find confidence intervals for population means
15 min -
12
Analyze a regression line using statistics of a data set
Analyze a regression line using statistics of a data set
15 min -
13
Find confidence intervals for population proportions
Find confidence intervals for population proportions
15 min -
14
Analyze the results of an experiment using simulations
Analyze the results of an experiment using simulations
15 min -
15
Identify an outlier
Identify an outlier
15 min -
16
Variance and standard deviation
Variance and standard deviation
15 min
Chapter 10: Introduction to derivatives
Mathematics Calculus: Introduction to derivatives
-
1
Average rate of change I
Average rate of change I
15 min -
2
Average rate of change II
Average rate of change II
15 min -
3
Find instantaneous rates of change
Find instantaneous rates of change
15 min -
4
Velocity as a rate of change
Velocity as a rate of change
15 min -
5
Find values of derivatives using limits
Find values of derivatives using limits
15 min -
6
Find the slope of a tangent line using limits
Find the slope of a tangent line using limits
15 min -
7
Find equations of tangent lines using limits
Find equations of tangent lines using limits
15 min
Chapter 11: Calculate derivatives
Mathematics Calculus: Calculate derivatives
-
1
Sum and difference rules
Sum and difference rules
15 min -
2
Product rule
Product rule
15 min -
3
Quotient rule
Quotient rule
15 min -
4
Power rule I
Power rule I
15 min -
5
Power rule II
Power rule II
15 min -
6
Find derivatives of polynomials
Find derivatives of polynomials
15 min -
7
Find derivatives of rational functions
Find derivatives of rational functions
15 min -
8
Find derivatives of trigonometric functions
Find derivatives of trigonometric functions
15 min -
9
Chain rule
Chain rule
15 min -
10
Find derivatives using implicit differentiation
Find derivatives using implicit differentiation
15 min -
11
Find tangent lines using implicit differentiation
Find tangent lines using implicit differentiation
15 min -
12
Find derivatives of exponential functions
Find derivatives of exponential functions
15 min -
13
Find derivatives of logarithmic functions
Find derivatives of logarithmic functions
15 min -
14
Find derivatives using the product rule I
Find derivatives using the product rule I
15 min -
15
Find derivatives using the product rule II
Find derivatives using the product rule II
15 min -
16
Find derivatives using the quotient rule I
Find derivatives using the quotient rule I
15 min -
17
Find derivatives using the quotient rule II
Find derivatives using the quotient rule II
15 min
Chapter 12: Quadratic functions
Mathematics Grade 12: Quadratic functions
-
1
Find the maximum or minimum value of a quadratic function
Find the maximum or minimum value of a quadratic function
15 min -
2
Graph a quadratic function
Graph a quadratic function
15 min -
3
Characteristics of quadratic functions
Characteristics of quadratic functions
15 min -
4
Solve a quadratic equation using square roots
Solve a quadratic equation using square roots
15 min -
5
Match quadratic functions and graphs
Match quadratic functions and graphs
15 min -
6
Solve a quadratic equation by completing the square
Solve a quadratic equation by completing the square
15 min -
7
Solve a quadratic equation using the quadratic formula
Solve a quadratic equation using the quadratic formula
15 min -
8
Using the discriminant
Using the discriminant
15 min
Chapter 13: Polynomials
Mathematics Grade 12: Polynomials
-
1
Divide polynomials using long division
Divide polynomials using long division
15 min -
2
Divide polynomials using synthetic division
Divide polynomials using synthetic division
15 min -
3
Evaluate polynomials using synthetic division
Evaluate polynomials using synthetic division
15 min -
4
Find the roots of factored polynomials
Find the roots of factored polynomials
15 min -
5
Write a polynomial from its roots
Write a polynomial from its roots
15 min -
6
Rational root theorem
Rational root theorem
15 min -
7
Conjugate root theorems
Conjugate root theorems
15 min -
8
Complex conjugate theorem
Complex conjugate theorem
15 min -
9
Fundamental Theorem of Algebra
Fundamental Theorem of Algebra
15 min -
10
Descartes' Rule of Signs
Descartes' Rule of Signs
15 min -
11
Factor sums and differences of cubes
Factor sums and differences of cubes
15 min -
12
Solve equations with sums and differences of cubes
Solve equations with sums and differences of cubes
15 min -
13
Factor using a quadratic pattern
Factor using a quadratic pattern
15 min -
14
Solve equations using a quadratic pattern
Solve equations using a quadratic pattern
15 min -
15
Pascal's triangle and the Binomial Theorem
Pascal's triangle and the Binomial Theorem
15 min -
16
Pascal's triangle
Pascal's triangle
15 min -
17
Binomial Theorem I
Binomial Theorem I
15 min -
18
Binomial Theorem II
Binomial Theorem II
15 min
Chapter 14: Three-dimensional vectors
Mathematics Grade 12: Three-dimensional vectors
-
1
Find the component form of a threedimensional vector
Find the component form of a threedimensional vector
15 min -
2
Find the magnitude of a threedimensional vector
Find the magnitude of a threedimensional vector
15 min -
3
Add and subtract threedimensional vectors
Add and subtract threedimensional vectors
15 min -
4
Scalar multiples of threedimensional vectors
Scalar multiples of threedimensional vectors
15 min -
5
Linear combinations of threedimensional vectors
Linear combinations of threedimensional vectors
15 min -
6
Find a threedimensional unit vector
Find a threedimensional unit vector
15 min
Chapter 15: Exponential and logarithmic functions
Mathematics Grade 12: Exponential and logarithmic functions
-
4
Quotient property of logarithms
Quotient property of logarithms
15 min -
6
Power property of logarithms
Power property of logarithms
15 min -
7
Evaluate logarithms using properties
Evaluate logarithms using properties
15 min -
8
Solve logarithmic equations with one logarithm
Solve logarithmic equations with one logarithm
15 min -
9
Solve exponential equations using logarithms
Solve exponential equations using logarithms
15 min -
10
Exponential growth and decay word problems
Exponential growth and decay word problems
15 min -
11
Solve logarithmic equations with multiple logarithms
Solve logarithmic equations with multiple logarithms
15 min -
12
Compound interest word problems
Compound interest word problems
15 min -
13
Identify linear and exponential functions
Identify linear and exponential functions
15 min -
15
Domain and range of exponential and logarithmic functions
Domain and range of exponential and logarithmic functions
15 min -
16
Convert between exponential and logarithmic form
Convert between exponential and logarithmic form
15 min -
17
Evaluate logarithms
Evaluate logarithms
15 min -
18
Change of base formula
Change of base formula
15 min -
19
Product property of logarithms
Product property of logarithms
15 min -
23
Describe linear and exponential growth and decay
Describe linear and exponential growth and decay
15 min
Chapter 17: Systems of inequalities
Mathematics Grade 12: Systems of inequalities
-
1
Solve systems of linear and absolute value inequalities by graphing
Solve systems of linear and absolute value inequalities by graphing
15 min -
2
Solve systems of linear inequalities by graphing
Solve systems of linear inequalities by graphing
15 min -
3
Linear programming
Linear programming
15 min -
4
Find the vertices of a solution set
Find the vertices of a solution set
15 min
Chapter 18: Nonlinear inequalities
Mathematics Grade 12: Nonlinear inequalities
-
1
Graph solutions to quadratic inequalities
Graph solutions to quadratic inequalities
15 min -
2
Solve quadratic inequalities
Solve quadratic inequalities
15 min -
3
Solve higher degree inequalities
Solve higher degree inequalities
15 min -
4
Graph solutions to higherdegree inequalities
Graph solutions to higherdegree inequalities
15 min
Chapter 19: Matrices
Mathematics Grade 12: Matrices
-
1
Multiply a matrix by a scalar
Multiply a matrix by a scalar
15 min -
2
Add and subtract matrices
Add and subtract matrices
15 min -
3
Add and subtract scalar multiples of matrices
Add and subtract scalar multiples of matrices
15 min -
4
Solve matrix equations
Solve matrix equations
15 min -
5
Inverse of a 2 x 2 matrix
Inverse of a 2 x 2 matrix
15 min -
6
Determinant of a matrix
Determinant of a matrix
15 min -
7
Solve matrix equations using inverses
Solve matrix equations using inverses
15 min -
8
Matrix vocabulary
Matrix vocabulary
15 min -
9
Matrix operation rules
Matrix operation rules
15 min -
10
Multiply two matrices
Multiply two matrices
15 min -
11
Inverse of a 3 x 3 matrix
Inverse of a 3 x 3 matrix
15 min -
12
Simplify matrix expressions
Simplify matrix expressions
15 min -
13
Transformation matrices graph the image
Transformation matrices graph the image
15 min -
14
Transformation matrices write the vertex matrix
Transformation matrices write the vertex matrix
15 min
Chapter 20: Trigonometry
Mathematics Grade 12: Trigonometry
-
1
Radians and arc length
Radians and arc length
15 min -
2
Convert between radians and degrees
Convert between radians and degrees
15 min -
3
Coterminal and reference angles
Coterminal and reference angles
15 min -
4
Find trigonometric ratios using right triangles
Find trigonometric ratios using right triangles
15 min -
5
Find trigonometric ratios using the unit circle
Find trigonometric ratios using the unit circle
15 min -
6
Find trigonometric ratios using reference angles
Find trigonometric ratios using reference angles
15 min -
7
Inverses of trigonometric functions
Inverses of trigonometric functions
15 min -
8
Trigonometric ratios find a side length
Trigonometric ratios find a side length
15 min -
9
Trigonometric ratios find an angle measure
Trigonometric ratios find an angle measure
15 min -
10
Law of Cosines
Law of Cosines
15 min -
11
Area of a triangle sine formula
Area of a triangle sine formula
15 min -
13
Area of a triangle Heron's formula
Area of a triangle Heron's formula
15 min
Chapter 22: Trigonometric identities
Mathematics Grade 12: Trigonometric identities
Chapter 23: Conic sections
Mathematics Grade 12: Conic sections
-
1
Write equations of parabolas in vertex form
Write equations of parabolas in vertex form
15 min -
2
Graph parabolas
Graph parabolas
15 min -
3
Find properties of circles
Find properties of circles
15 min -
4
Write equations of circles in standard form
Write equations of circles in standard form
15 min -
5
Graph circles (Tutorial Only)
Graph circles (Tutorial Only)
15 min -
6
Find properties of ellipses
Find properties of ellipses
15 min -
7
Find the eccentricity of an ellipse
Find the eccentricity of an ellipse
15 min -
8
Write equations of ellipses in standard form
Write equations of ellipses in standard form
15 min -
9
Find properties of hyperbolas (Tutorial)
Find properties of hyperbolas (Tutorial)
15 min -
10
Write equations of hyperbolas in standard form
Write equations of hyperbolas in standard form
15 min -
11
Find the eccentricity of a hyperbola
Find the eccentricity of a hyperbola
15 min -
13
Convert equations of conic sections from general to standard form
Convert equations of conic sections from general to standard form
15 min
Chapter 24: Complex numbers
Mathematics Grade 12: Complex numbers
-
1
Add and subtract complex numbers
Add and subtract complex numbers
15 min -
2
Complex conjugates
Complex conjugates
15 min -
3
Multiply and divide complex numbers
Multiply and divide complex numbers
15 min -
4
Absolute values of complex numbers
Absolute values of complex numbers
15 min -
5
Add subtract multiply and divide complex numbers
Add subtract multiply and divide complex numbers
15 min -
6
Powers of i
Powers of i
15 min
Chapter 25: Complex plane
Mathematics Grade 12: Complex plane
-
1
Introduction to the complex plane
Introduction to the complex plane
15 min -
2
Graph complex numbers
Graph complex numbers
15 min -
3
Addition in the complex plane
Addition in the complex plane
15 min -
4
Graph complex conjugates
Graph complex conjugates
15 min -
5
Subtraction in the complex plane
Subtraction in the complex plane
15 min -
6
Midpoints in the complex plane
Midpoints in the complex plane
15 min -
7
Absolute value in the complex plane
Absolute value in the complex plane
15 min -
8
Distance in the complex plane
Distance in the complex plane
15 min
Chapter 27: Polar form
Mathematics Grade 12: Polar form
-
1
Find the modulus and argument of a complex number
Find the modulus and argument of a complex number
15 min -
2
Convert complex numbers from polar to rectangular form
Convert complex numbers from polar to rectangular form
15 min -
3
Convert complex numbers from rectangular to polar form
Convert complex numbers from rectangular to polar form
15 min -
4
Match polar equations and graphs
Match polar equations and graphs
15 min -
5
Convert complex numbers between rectangular and polar form
Convert complex numbers between rectangular and polar form
15 min