Using matrices to transform the plane Transforming 3D and 4D vectors with matrices Multiplying matrices by matrices Properties of matrix multiplication Representing systems of equations …

Equations and key features of ellipses Write rectangular equations of parabolas and analyze key features Write rectangular equations of hyperbolas and analyze key features

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Unit 1: Get ready for complex numbers The imaginary unit i Complex numbers introduction The complex plane Adding and subtracting complex numbers Multiplying complex numbers …

Senior High School Pre-Calculus (MELCS)* 2,600 possible mastery points Mastered Proficient

Multiplying complex numbers in polar form Dividing complex numbers in polar form Taking and visualizing powers of a complex number Complex number equations: x³=1 Visualizing complex …

Explore Khan Academy's free precalculus resources, including vectors, with interactive lessons and practice questions designed by experts for effective learning.

Learn Precalculus aligned to the Eureka Math/EngageNY curriculum —complex numbers, vectors, matrices, and more.

Combining mixtures example Rational equations word problem: combined rates Rational equations word problem: combined rates (example 2) Rational equations word problem: …

Intermediate value theorem Worked example: using the intermediate value theorem Justification with the intermediate value theorem: table Justification with the intermediate value theorem: …