Get ready for Precalculus
Get ready for Precalculus! Learn the skills that will set you up for success in complex numbers; polynomials; composite and inverse functions; trigonometry; vectors and matrices; series; conic sections; and probability and combinatorics.
8 units145 videos14 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
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
Quadratic equations with complex solutions
Unit 2: Get ready for polynomials
Adding and subtracting polynomials
Multiplying binomials by polynomials
Special products of polynomials
Factoring higher degree polynomials
Factoring using structure
Zeros of polynomials
Zeros of polynomials introduction ✓ Check-ins5:09
Zeros of polynomials: plotting zeros ✓ Check-ins3:19
Zeros of polynomials: matching equation to zeros ✓ Check-ins3:51
Zeros of polynomials: matching equation to graph ✓ Check-ins3:01
Zeros of polynomials (with factoring): grouping ✓ Check-ins4:55
Zeros of polynomials (with factoring): common factor ✓ Check-ins3:32
Dividing polynomials by x
Dividing quadratics by linear factors
Unit 3: Get ready for composite and inverse functions
Shifting functions
Reflecting functions
Scaling functions
Identifying function transformations
Intro to domain and range of a function
Unit 4: Get ready for trigonometry
Unit circle introduction
Radians
The Pythagorean identity
Trigonometric values of special angles
Graphing sinusoidal functions
Unit 5: Get ready for vectors and matrices
Equivalent systems of equations and the elimination method
Systems of equations with elimination: King's cupcakes ✓ Check-ins9:00
Why can we subtract one equation from the other in a system of equations? ✓ Check-ins8:13
Elimination strategies ✓ Check-ins7:16
Systems of equations with elimination: x-4y=-18 & -x+3y=11 ✓ Check-ins5:59
Systems of equations with elimination: potato chips ✓ Check-ins9:21
Systems of equations with elimination (and manipulation) ✓ Check-ins12:01
Worked example: equivalent systems of equations ✓ Check-ins5:31
Worked example: non-equivalent systems of equations ✓ Check-ins4:30
Dilations
Solving triangles using the trigonometric ratios
Unit circle introduction
Distance formula
Unit 6: Get ready for series
Intro to sequences
Sequences intro ✓ Check-ins8:18
Intro to arithmetic sequences ✓ Check-ins7:07
Using arithmetic sequences formulas ✓ Check-ins3:38
Worked example: using recursive formula for arithmetic sequence ✓ Check-ins2:52
Intro to geometric sequences ✓ Check-ins10:45
Using explicit formulas of geometric sequences ✓ Check-ins1:37
Using recursive formulas of geometric sequences ✓ Check-ins3:46
Constructing arithmetic sequences
Constructing geometric sequences
Modeling with sequences
General sequences
Unit 7: Get ready for conic sections
Graphs of circles intro
Standard equation of a circle
Expanded equation of a circle
Focus and directrix of a parabola
Unit 8: Get ready for probability and combinatorics
Basic theoretical probability
Probability using sample spaces
Basic set operations
Experimental probability
Randomness, probability, and simulation
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
Course content © Khan Academy, used under CC BY-NC-SA. See this course on Khan Academy.