📚
Week 1: Equations and functions
8 lessons•~40 mins
Skills and concepts for Equations and functions.
Geometry
Shapes, proofs, and reasoning. Learn to think visually and logically with constructions, transformations, trigonometry, and conic sections.
Progress
0/212 lessons • 0%
Modules
✨
Week 2: Functions
8 lessons•~40 mins
Skills and concepts for Functions.
🚀
Week 3: Systems of equations
6 lessons•~30 mins
Skills and concepts for Systems of equations.
🎯
Week 4: Systems of equations and complex numbers
7 lessons•~35 mins
Skills and concepts for Systems of equations and complex numbers.
🧩
Week 5: Complex numbers and quadratic equations
7 lessons•~35 mins
Skills and concepts for Complex numbers and quadratic equations.
🧪
Week 6: Quadratic functions
9 lessons•~45 mins
Skills and concepts for Quadratic functions.
🔍
Week 7: Functions and polynomials
5 lessons•~25 mins
Skills and concepts for Functions and polynomials.
💡
Week 8: Polynomials
6 lessons•~30 mins
Skills and concepts for Polynomials.
🏆
Week 9: Polynomials
6 lessons•~30 mins
Skills and concepts for Polynomials.
⭐
Week 10: Polynomials
6 lessons•~30 mins
Skills and concepts for Polynomials.
📚
Week 11: Polynomials and radical expressions
8 lessons•~40 mins
Skills and concepts for Polynomials and radical expressions.
✨
Week 12: Radical functions and function operations
7 lessons•~35 mins
Skills and concepts for Radical functions and function operations.
🚀
Week 13: Function operations and inverses
6 lessons•~30 mins
Skills and concepts for Function operations and inverses.
🎯
Week 14: Function inverses and exponents
7 lessons•~35 mins
Skills and concepts for Function inverses and exponents.
🧩
Week 15: Exponents and logarithms
6 lessons•~30 mins
Skills and concepts for Exponents and logarithms.
🧪
Week 16: Exponents and logarithms
7 lessons•~35 mins
Skills and concepts for Exponents and logarithms.
🔍
Week 17: Exponents and logarithms
5 lessons•~25 mins
Skills and concepts for Exponents and logarithms.
💡
Week 18: Exponents, logarithms, and rational expressions
5 lessons•~25 mins
Skills and concepts for Exponents, logarithms, and rational expressions.
🏆
Week 19: Rational functions and three-dimensional figures
6 lessons•~30 mins
Skills and concepts for Rational functions and three-dimensional figures.
⭐
Week 20: Parabolas
8 lessons•~40 mins
Skills and concepts for Parabolas.
📚
Week 21: Parabolas and circles
7 lessons•~35 mins
Skills and concepts for Parabolas and circles.
✨
Week 22: Circles and trigonometry
9 lessons•~45 mins
Skills and concepts for Circles and trigonometry.
🚀
Week 23: Trigonometry
8 lessons•~40 mins
Skills and concepts for Trigonometry.
🎯
Week 24: Trigonometry
6 lessons•~30 mins
Skills and concepts for Trigonometry.
🧩
Week 25: Trigonometric identities and equations
6 lessons•~30 mins
Skills and concepts for Trigonometric identities and equations.
🧪
Week 26: Trigonometric functions
5 lessons•~25 mins
Skills and concepts for Trigonometric functions.
🔍
Week 27: Trigonometric functions
5 lessons•~25 mins
Skills and concepts for Trigonometric functions.
💡
Week 28: Trigonometric functions and sequences
7 lessons•~35 mins
Skills and concepts for Trigonometric functions and sequences.
🏆
Week 29: Series and probability
8 lessons•~40 mins
Skills and concepts for Series and probability.
⭐
Week 30: Probability
6 lessons•~30 mins
Skills and concepts for Probability.
📚
Week 31: Probability
6 lessons•~30 mins
Skills and concepts for Probability.
✨
Week 32: Statistics
6 lessons•~30 mins
Skills and concepts for Statistics.
All Lessons (212)
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Solve linear equations
Solving linear equations is a fundamental skill in algebra. The goal is to isolate the variable by performing inverse operations on both sides of the equation to maintain balance.
Solve linear equations: word problems
Translate real-world scenarios into algebraic equations and solve them. This involves identifying the unknown quantity, assigning a variable, and setting up the equation.
Rearrange multi-variable equations
Rearranging multi-variable equations, also known as solving for a variable, is a crucial skill in science and math. It allows you to solve for any variable in a formula.
Domain and range
The domain of a function is the set of all possible input values (x-values), and the range is the set of all possible output values (y-values).
Identify functions
A function is a relation where each input has exactly one output. You can identify functions from a set of points, a table, or a graph (using the vertical line test).
Evaluate functions
To evaluate a function, you substitute the given input value for the variable in the function's equation.
Find values using function graphs
You can use the graph of a function to find the output for a given input, and vice versa.
Complete a table for a function graph
By reading the coordinates of points on a function's graph, you can fill in a table of x and y values.
Function transformation rules
Master the skills and concepts for: Function transformation rules.
Describe function transformations
Master the skills and concepts for: Describe function transformations.
Graph a linear function
Master the skills and concepts for: Graph a linear function.
Write the equation of a linear function
Master the skills and concepts for: Write the equation of a linear function.
Average rate of change
Master the skills and concepts for: Average rate of change.
Domain and range of absolute value functions: graphs
Master the skills and concepts for: Domain and range of absolute value functions: graphs.
Graph an absolute value function
Master the skills and concepts for: Graph an absolute value function.
Transformations of absolute value functions
Master the skills and concepts for: Transformations of absolute value functions.
Solve a system of equations by graphing
Master the skills and concepts for: Solve a system of equations by graphing.
Solve a system of equations by graphing: word problems
Master the skills and concepts for: Solve a system of equations by graphing: word problems.
Solve a system of equations using substitution
Master the skills and concepts for: Solve a system of equations using substitution.
Solve a system of equations using elimination
Master the skills and concepts for: Solve a system of equations using elimination.
Solve a system of equations using any method: word problems
Master the skills and concepts for: Solve a system of equations using any method: word problems.
Solve a system of equations in three variables using substitution
Master the skills and concepts for: Solve a system of equations in three variables using substitution.
Solve a system of equations in three variables using elimination
Master the skills and concepts for: Solve a system of equations in three variables using elimination.
Determine the number of solutions to a system of equations in three variables
Master the skills and concepts for: Determine the number of solutions to a system of equations in three variables.
Introduction to complex numbers
Master the skills and concepts for: Introduction to complex numbers.
Add and subtract complex numbers
Master the skills and concepts for: Add and subtract complex numbers.
Multiply complex numbers
Master the skills and concepts for: Multiply complex numbers.
Complex conjugates
Master the skills and concepts for: Complex conjugates.
Divide complex numbers
Master the skills and concepts for: Divide complex numbers.
Add, subtract, multiply, and divide complex numbers
Master the skills and concepts for: Add, subtract, multiply, and divide complex numbers.
Powers of i
Master the skills and concepts for: Powers of i.
Factor quadratics
Master the skills and concepts for: Factor quadratics.
Solve a quadratic equation by factoring
Master the skills and concepts for: Solve a quadratic equation by factoring.
Solve a quadratic equation by completing the square
Master the skills and concepts for: Solve a quadratic equation by completing the square.
Solve a quadratic equation using square roots
Master the skills and concepts for: Solve a quadratic equation using square roots.
Solve a quadratic equation using the quadratic formula
Master the skills and concepts for: Solve a quadratic equation using the quadratic formula.
Characteristics of quadratic functions: graphs
Master the skills and concepts for: Characteristics of quadratic functions: graphs.
Characteristics of quadratic functions: equations
Master the skills and concepts for: Characteristics of quadratic functions: equations.
Domain and range of quadratic functions: graphs
Master the skills and concepts for: Domain and range of quadratic functions: graphs.
Interpret parts of quadratic expressions: word problems
Master the skills and concepts for: Interpret parts of quadratic expressions: word problems.
Transformations of quadratic functions
Master the skills and concepts for: Transformations of quadratic functions.
Graph a quadratic function
Master the skills and concepts for: Graph a quadratic function.
Match quadratic functions and graphs
Master the skills and concepts for: Match quadratic functions and graphs.
Write a quadratic function from its zeros
Master the skills and concepts for: Write a quadratic function from its zeros.
Write a quadratic function in vertex form from its vertex and another point
Master the skills and concepts for: Write a quadratic function in vertex form from its vertex and another point.
Solve a system of linear and quadratic equations: parabolas
Master the skills and concepts for: Solve a system of linear and quadratic equations: parabolas.
Find solutions using a table
Master the skills and concepts for: Find solutions using a table.
Approximate solutions using a table
Master the skills and concepts for: Approximate solutions using a table.
Add and subtract polynomials
Master the skills and concepts for: Add and subtract polynomials.
Multiply polynomials
Master the skills and concepts for: Multiply polynomials.
Divide polynomials using long division
Master the skills and concepts for: Divide polynomials using long division.
Divide polynomials using synthetic division
Master the skills and concepts for: Divide polynomials using synthetic division.
Evaluate polynomials using synthetic division
Master the skills and concepts for: Evaluate polynomials using synthetic division.
Factor by grouping
Master the skills and concepts for: Factor by grouping.
Factor sums and differences of cubes
Master the skills and concepts for: Factor sums and differences of cubes.
Factor using a quadratic pattern
Master the skills and concepts for: Factor using a quadratic pattern.
Pascal's triangle
Master the skills and concepts for: Pascal's triangle.
Pascal's triangle and the Binomial Theorem
Master the skills and concepts for: Pascal's triangle and the Binomial Theorem.
Binomial Theorem I
Master the skills and concepts for: Binomial Theorem I.
Binomial Theorem II
Master the skills and concepts for: Binomial Theorem II.
Match polynomials and graphs
Master the skills and concepts for: Match polynomials and graphs.
Domain and range of polynomials
Master the skills and concepts for: Domain and range of polynomials.
Solve polynomial equations
Master the skills and concepts for: Solve polynomial equations.
Find the roots of factored polynomials
Master the skills and concepts for: Find the roots of factored polynomials.
Write a polynomial from its roots
Master the skills and concepts for: Write a polynomial from its roots.
Rational root theorem
Master the skills and concepts for: Rational root theorem.
Complex conjugate theorem
Master the skills and concepts for: Complex conjugate theorem.
Conjugate root theorems
Master the skills and concepts for: Conjugate root theorems.
Fundamental Theorem of Algebra
Master the skills and concepts for: Fundamental Theorem of Algebra.
Descartes' Rule of Signs
Master the skills and concepts for: Descartes' Rule of Signs.
Multiply radical expressions
Master the skills and concepts for: Multiply radical expressions.
Simplify radical expressions involving fractions
Master the skills and concepts for: Simplify radical expressions involving fractions.
Add and subtract radical expressions
Master the skills and concepts for: Add and subtract radical expressions.
Simplify radical expressions using the distributive property
Master the skills and concepts for: Simplify radical expressions using the distributive property.
Simplify radical expressions using conjugates
Master the skills and concepts for: Simplify radical expressions using conjugates.
Simplify radical expressions with variables I
Master the skills and concepts for: Simplify radical expressions with variables I.
Simplify radical expressions with variables II
Master the skills and concepts for: Simplify radical expressions with variables II.
Nth roots
Master the skills and concepts for: Nth roots.
Domain and range of radical functions
Master the skills and concepts for: Domain and range of radical functions.
Solve radical equations
Master the skills and concepts for: Solve radical equations.
Add and subtract functions
Master the skills and concepts for: Add and subtract functions.
Multiply functions
Master the skills and concepts for: Multiply functions.
Divide functions
Master the skills and concepts for: Divide functions.
Composition of linear functions: find a value
Master the skills and concepts for: Composition of linear functions: find a value.
Composition of linear functions: find an equation
Master the skills and concepts for: Composition of linear functions: find an equation.
Composition of linear and quadratic functions: find a value
Master the skills and concepts for: Composition of linear and quadratic functions: find a value.
Composition of linear and quadratic functions: find an equation
Master the skills and concepts for: Composition of linear and quadratic functions: find an equation.
Identify inverse functions
Master the skills and concepts for: Identify inverse functions.
Find inverse functions and relations
Master the skills and concepts for: Find inverse functions and relations.
Find values of inverse functions from tables
Master the skills and concepts for: Find values of inverse functions from tables.
Find values of inverse functions from graphs
Master the skills and concepts for: Find values of inverse functions from graphs.
Multiplication with rational exponents
Master the skills and concepts for: Multiplication with rational exponents.
Division with rational exponents
Master the skills and concepts for: Division with rational exponents.
Power rule
Master the skills and concepts for: Power rule.
Simplify expressions involving rational exponents I
Master the skills and concepts for: Simplify expressions involving rational exponents I.
Simplify expressions involving rational exponents II
Master the skills and concepts for: Simplify expressions involving rational exponents II.
Convert between exponential and logarithmic form: rational bases
Master the skills and concepts for: Convert between exponential and logarithmic form: rational bases.
Convert between natural exponential and logarithmic form
Master the skills and concepts for: Convert between natural exponential and logarithmic form.
Evaluate logarithms
Master the skills and concepts for: Evaluate logarithms.
Evaluate natural logarithms
Master the skills and concepts for: Evaluate natural logarithms.
Change of base formula
Master the skills and concepts for: Change of base formula.
Product property of logarithms
Master the skills and concepts for: Product property of logarithms.
Quotient property of logarithms
Master the skills and concepts for: Quotient property of logarithms.
Power property of logarithms
Master the skills and concepts for: Power property of logarithms.
Properties of logarithms: mixed review
Master the skills and concepts for: Properties of logarithms: mixed review.
Evaluate logarithms using properties
Master the skills and concepts for: Evaluate logarithms using properties.
Solve exponential equations by rewriting the base
Master the skills and concepts for: Solve exponential equations by rewriting the base.
Solve exponential equations using common logarithms
Master the skills and concepts for: Solve exponential equations using common logarithms.
Solve exponential equations using natural logarithms
Master the skills and concepts for: Solve exponential equations using natural logarithms.
Solve logarithmic equations I
Master the skills and concepts for: Solve logarithmic equations I.
Solve logarithmic equations II
Master the skills and concepts for: Solve logarithmic equations II.
Match exponential functions and graphs
Master the skills and concepts for: Match exponential functions and graphs.
Exponential growth and decay: word problems
Master the skills and concepts for: Exponential growth and decay: word problems.
Domain and range of logarithmic functions
Master the skills and concepts for: Domain and range of logarithmic functions.
Compound interest: word problems
Master the skills and concepts for: Compound interest: word problems.
Continuously compounded interest: word problems
Master the skills and concepts for: Continuously compounded interest: word problems.
Simplify rational expressions
Master the skills and concepts for: Simplify rational expressions.
Multiply and divide rational expressions
Master the skills and concepts for: Multiply and divide rational expressions.
Add and subtract rational expressions
Master the skills and concepts for: Add and subtract rational expressions.
Solve rational equations
Master the skills and concepts for: Solve rational equations.
Rational functions: asymptotes and excluded values
Master the skills and concepts for: Rational functions: asymptotes and excluded values.
Nets and drawings of three-dimensional figures
Master the skills and concepts for: Nets and drawings of three-dimensional figures.
Cross sections of three-dimensional figures
Master the skills and concepts for: Cross sections of three-dimensional figures.
Solids of revolution
Master the skills and concepts for: Solids of revolution.
Calculate density, mass, and volume
Master the skills and concepts for: Calculate density, mass, and volume.
Find the vertex of a parabola
Master the skills and concepts for: Find the vertex of a parabola.
Find the focus or directrix of a parabola
Master the skills and concepts for: Find the focus or directrix of a parabola.
Find the axis of symmetry of a parabola
Master the skills and concepts for: Find the axis of symmetry of a parabola.
Write equations of parabolas in vertex form from graphs
Master the skills and concepts for: Write equations of parabolas in vertex form from graphs.
Write equations of parabolas in vertex form using properties
Master the skills and concepts for: Write equations of parabolas in vertex form using properties.
Convert equations of parabolas from general to vertex form
Master the skills and concepts for: Convert equations of parabolas from general to vertex form.
Find properties of a parabola from equations in general form
Master the skills and concepts for: Find properties of a parabola from equations in general form.
Graph parabolas
Master the skills and concepts for: Graph parabolas.
Convert equations of parabolas from general to vertex form
Master the skills and concepts for: Convert equations of parabolas from general to vertex form.
Find properties of circles from equations in general form
Master the skills and concepts for: Find properties of circles from equations in general form.
Graph circles
Master the skills and concepts for: Graph circles.
Find the center of a circle
Master the skills and concepts for: Find the center of a circle.
Find the radius or diameter of a circle
Master the skills and concepts for: Find the radius or diameter of a circle.
Write equations of circles in standard form from graphs
Master the skills and concepts for: Write equations of circles in standard form from graphs.
Write equations of circles in standard form using properties
Master the skills and concepts for: Write equations of circles in standard form using properties.
Convert equations of circles from general to standard form
Master the skills and concepts for: Convert equations of circles from general to standard form.
Find properties of circles from equations in general form
Master the skills and concepts for: Find properties of circles from equations in general form.
Graph circles
Master the skills and concepts for: Graph circles.
Special right triangles
Master the skills and concepts for: Special right triangles.
Trigonometric ratios: sin, cos, and tan
Master the skills and concepts for: Trigonometric ratios: sin, cos, and tan.
Trigonometric ratios: csc, sec, and cot
Master the skills and concepts for: Trigonometric ratios: csc, sec, and cot.
Trigonometric ratios: find a side length
Master the skills and concepts for: Trigonometric ratios: find a side length.
Trigonometric ratios: find an angle measure
Master the skills and concepts for: Trigonometric ratios: find an angle measure.
Solve a right triangle
Master the skills and concepts for: Solve a right triangle.
Law of Sines
Master the skills and concepts for: Law of Sines.
Law of Cosines
Master the skills and concepts for: Law of Cosines.
Solve a triangle
Master the skills and concepts for: Solve a triangle.
Convert between radians and degrees
Master the skills and concepts for: Convert between radians and degrees.
Graphs of angles
Master the skills and concepts for: Graphs of angles.
Quadrants
Master the skills and concepts for: Quadrants.
Coterminal angles
Master the skills and concepts for: Coterminal angles.
Reference angles
Master the skills and concepts for: Reference angles.
Find trigonometric ratios using the unit circle
Master the skills and concepts for: Find trigonometric ratios using the unit circle.
Sin, cos, and tan of special angles
Master the skills and concepts for: Sin, cos, and tan of special angles.
Inverses of sin, cos, and tan: degrees
Master the skills and concepts for: Inverses of sin, cos, and tan: degrees.
Inverses of sin, cos, and tan: radians
Master the skills and concepts for: Inverses of sin, cos, and tan: radians.
Csc, sec, and cot of special angles
Master the skills and concepts for: Csc, sec, and cot of special angles.
Inverses of csc, sec, and cot
Master the skills and concepts for: Inverses of csc, sec, and cot.
Complementary angle identities
Master the skills and concepts for: Complementary angle identities.
Symmetry and periodicity of trigonometric functions
Master the skills and concepts for: Symmetry and periodicity of trigonometric functions.
Find trigonometric ratios using a Pythagorean or reciprocal identity
Master the skills and concepts for: Find trigonometric ratios using a Pythagorean or reciprocal identity.
Find trigonometric ratios using multiple identities
Master the skills and concepts for: Find trigonometric ratios using multiple identities.
Solve trigonometric equations I
Master the skills and concepts for: Solve trigonometric equations I.
Solve trigonometric equations II
Master the skills and concepts for: Solve trigonometric equations II.
Find properties of sine functions
Master the skills and concepts for: Find properties of sine functions.
Write equations of sine functions from graphs
Master the skills and concepts for: Write equations of sine functions from graphs.
Write equations of sine functions using properties
Master the skills and concepts for: Write equations of sine functions using properties.
Graph sine functions
Master the skills and concepts for: Graph sine functions.
Graph translations of sine functions
Master the skills and concepts for: Graph translations of sine functions.
Find properties of cosine functions
Master the skills and concepts for: Find properties of cosine functions.
Write equations of cosine functions from graphs
Master the skills and concepts for: Write equations of cosine functions from graphs.
Write equations of cosine functions using properties
Master the skills and concepts for: Write equations of cosine functions using properties.
Graph cosine functions
Master the skills and concepts for: Graph cosine functions.
Graph translations of cosine functions
Master the skills and concepts for: Graph translations of cosine functions.
Graph sine and cosine functions
Master the skills and concepts for: Graph sine and cosine functions.
Graph translations of sine and cosine functions
Master the skills and concepts for: Graph translations of sine and cosine functions.
Evaluate explicit formulas for sequences
Master the skills and concepts for: Evaluate explicit formulas for sequences.
Evaluate recursive formulas for sequences
Master the skills and concepts for: Evaluate recursive formulas for sequences.
Write a formula for an arithmetic sequence
Master the skills and concepts for: Write a formula for an arithmetic sequence.
Write a formula for a geometric sequence
Master the skills and concepts for: Write a formula for a geometric sequence.
Write a formula for a recursive sequence
Master the skills and concepts for: Write a formula for a recursive sequence.
Find the sum of an arithmetic series
Master the skills and concepts for: Find the sum of an arithmetic series.
Find the sum of a finite geometric series
Master the skills and concepts for: Find the sum of a finite geometric series.
Probability of independent and dependent events
Master the skills and concepts for: Probability of independent and dependent events.
Find probabilities using two-way frequency tables
Master the skills and concepts for: Find probabilities using two-way frequency tables.
Find conditional probabilities using two-way frequency tables
Master the skills and concepts for: Find conditional probabilities using two-way frequency tables.
Counting principle
Master the skills and concepts for: Counting principle.
Combinations and permutations
Master the skills and concepts for: Combinations and permutations.
Find probabilities using combinations and permutations
Master the skills and concepts for: Find probabilities using combinations and permutations.
Write a discrete probability distribution
Master the skills and concepts for: Write a discrete probability distribution.
Expected values of random variables
Master the skills and concepts for: Expected values of random variables.
Write the probability distribution for a game of chance
Master the skills and concepts for: Write the probability distribution for a game of chance.
Expected values for a game of chance
Master the skills and concepts for: Expected values for a game of chance.
Choose the better bet
Master the skills and concepts for: Choose the better bet.
Variance of random variables
Master the skills and concepts for: Variance of random variables.
Standard deviation of random variables
Master the skills and concepts for: Standard deviation of random variables.
Find probabilities using the binomial distribution
Master the skills and concepts for: Find probabilities using the binomial distribution.
Find probabilities using the normal distribution I
Master the skills and concepts for: Find probabilities using the normal distribution I.
Find probabilities using the normal distribution II
Master the skills and concepts for: Find probabilities using the normal distribution II.
Find z-values
Master the skills and concepts for: Find z-values.
Find values of normal variables
Master the skills and concepts for: Find values of normal variables.
Identify biased samples
Master the skills and concepts for: Identify biased samples.
Experiment design
Master the skills and concepts for: Experiment design.
Analyze the results of an experiment using simulations
Master the skills and concepts for: Analyze the results of an experiment using simulations.
Variance and standard deviation
Master the skills and concepts for: Variance and standard deviation.
Find confidence intervals for population means
Master the skills and concepts for: Find confidence intervals for population means.
Interpret confidence intervals for population means
Master the skills and concepts for: Interpret confidence intervals for population means.