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Precalculus · Lessons

Precalculus lessons

11 sections · 32 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

Precalculus

Practice 32 skills across this outline.

Recommended next
Matrix Transformations of Vectors
Matrix Operations & Applications
Long-form lesson
Weighting distribution
12 categories
Matrix Operations & Applications
9%
Trigonometry in General Triangles
9%
Theorems About Circles
9%
Trigonometric Ratios & Right Triangles
9%
Extend Trig with Unit Circle
9%
Model Periodic Phenomena
9%

Skills

The comprehensive taxonomy of precalculus — drill into a card to work its skills.

Matrix Operations & Applications

7 core skills9% total weight
0/7 completed
7 skills to mastery
1
Matrix Transformations of VectorsRecommended
Long-form
2
Zero and Identity Matrices and DeterminantsAvailable
Long-form
3
Matrix Addition, Subtraction, and MultiplicationAvailable
Long-form
4
Properties of Matrix OperationsAvailable
Long-form
5
Scalar Multiplication of MatricesAvailable
Long-form
6
Using 2x2 Matrices for Plane TransformationsAvailable
Long-form
7
Using Matrices to Represent, Manipulate DataAvailable
Long-form

Vectors · Adding and Subtracting Vectors

3 core skills6% total weight
0/3 completed
3 skills to mastery
1
Add Vectors in Different WaysAvailable
Long-form
2
Subtract and Represent Vectors GraphicallyAvailable
Long-form
3
Find Sum of Two VectorsAvailable
Long-form

Vectors · Scalar Multiplication of Vectors

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Magnitude and Direction of Scaled VectorsAvailable
Long-form
2
Show Scalar Multiplication VisuallyAvailable
Long-form

Trigonometry in General Triangles

2 core skills9% total weight
0/2 completed
2 skills to mastery
1
Applying Laws of Sines and CosinesAvailable
Long-form
2
All Circles Are SimilarAvailable
Long-form

Theorems About Circles

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Constructing Tangents to CirclesAvailable
Long-form

Trigonometric Ratios & Right Triangles

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Deriving the Triangle Area FormulaAvailable
Long-form
2
Sine and Cosine of Complementary AnglesAvailable
Long-form
3
Solving Right Triangles: Pythagorean Theorem, TrigonometryAvailable
Long-form

Extend Trig with Unit Circle

4 core skills9% total weight
0/4 completed
4 skills to mastery
1
Extending Trigonometric Functions with Unit CircleAvailable
Long-form
2
Special Triangles, Unit Circle in TrigonometryAvailable
Long-form
3
Symmetry and Periodicity of Trigonometric FunctionsAvailable
Long-form
4
Understanding Radian Measure of AnglesAvailable
Long-form

Model Periodic Phenomena

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Modeling Periodic Phenomena with Trigonometric FunctionsAvailable
Long-form
2
Constructing Inverse Trigonometric FunctionsAvailable
Long-form
3
Solving Trigonometric Equations in ContextAvailable
Long-form

Trigonometric Identities

2 core skills9% total weight
0/2 completed
2 skills to mastery
1
Proving the Pythagorean IdentityAvailable
Long-form
2
Proving Angle Addition/Subtraction FormulasAvailable
Long-form

Arc Lengths & Sectors

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Radian Measure and Arc LengthAvailable
Long-form

Vector Quantities & Models

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Finding Components of VectorsAvailable
Long-form
2
Solving Problems with Vectors and VelocityAvailable
Long-form
3
Understanding Vector Quantities and RepresentationAvailable
Long-form

Systems of Equations

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Representing Linear Systems with MatricesAvailable
Long-form