Math

Precalculus

Preparation for Calculus.

Personalized practice Exam · Set a test date 11 units · 32 topics
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Subject resources

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
36 questions 40 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Zero and Identity Matrices and DeterminantsAvailable
68 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Matrix Addition, Subtraction, and MultiplicationAvailable
33 questions 33 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Properties of Matrix OperationsAvailable
64 questions 33 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
5
Scalar Multiplication of MatricesAvailable
52 questions 38 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
6
Using 2x2 Matrices for Plane TransformationsAvailable
44 questions 37 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
7
Using Matrices to Represent, Manipulate DataAvailable
47 questions 38 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Vectors · Adding and Subtracting Vectors

3 core skills6% total weight
0/3 completed
3 skills to mastery
1
Add Vectors in Different WaysAvailable
67 questions 37 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Subtract and Represent Vectors GraphicallyAvailable
60 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Find Sum of Two VectorsAvailable
43 questions 34 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Vectors · Scalar Multiplication of Vectors

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Magnitude and Direction of Scaled VectorsAvailable
45 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Show Scalar Multiplication VisuallyAvailable
64 questions 31 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Trigonometry in General Triangles

2 core skills9% total weight
0/2 completed
2 skills to mastery
1
Applying Laws of Sines and CosinesAvailable
37 questions 36 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
All Circles Are SimilarAvailable
3 questions 32 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Theorems About Circles

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Constructing Tangents to CirclesAvailable
55 questions 37 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Trigonometric Ratios & Right Triangles

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Deriving the Triangle Area FormulaAvailable
58 questions 34 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Sine and Cosine of Complementary AnglesAvailable
68 questions 37 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Solving Right Triangles: Pythagorean Theorem, TrigonometryAvailable
64 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Extend Trig with Unit Circle

4 core skills9% total weight
0/4 completed
4 skills to mastery
1
Extending Trigonometric Functions with Unit CircleAvailable
68 questions 34 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Special Triangles, Unit Circle in TrigonometryAvailable
49 questions 41 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Symmetry and Periodicity of Trigonometric FunctionsAvailable
53 questions 36 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
4
Understanding Radian Measure of AnglesAvailable
77 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Model Periodic Phenomena

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Modeling Periodic Phenomena with Trigonometric FunctionsAvailable
41 questions 38 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Constructing Inverse Trigonometric FunctionsAvailable
34 questions 33 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Solving Trigonometric Equations in ContextAvailable
21 questions 35 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Trigonometric Identities

2 core skills9% total weight
0/2 completed
2 skills to mastery
1
Proving the Pythagorean IdentityAvailable
49 questions 40 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Proving Angle Addition/Subtraction FormulasAvailable
47 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Arc Lengths & Sectors

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Radian Measure and Arc LengthAvailable
51 questions 35 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Vector Quantities & Models

3 core skills9% total weight
0/3 completed
3 skills to mastery
1
Finding Components of VectorsAvailable
60 questions 36 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
2
Solving Problems with Vectors and VelocityAvailable
44 questions 37 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems
3
Understanding Vector Quantities and RepresentationAvailable
61 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

Systems of Equations

1 core skills9% total weight
0/1 completed
1 skill to mastery
1
Representing Linear Systems with MatricesAvailable
56 questions 39 flashcards Lesson available
Long-form lessonSlide-style lessonFlashcardsPractice problems

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