Algebra 2 essentials
Analyze complex numbers, polynomials, exponentials, logarithms, and function transformations through advanced practice. Build fluency with rational, radical, trigonometric, and sinusoidal models while interpreting graphs, solving equations, and applying algebraic reasoning to real-world relationships and multi-variable expressions.
11 units131 videos12 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Complex numbers
The imaginary unit i
Complex numbers introduction
Adding and subtracting complex numbers
Multiplying complex numbers
Quadratic equations with complex solutions
Unit 2: Polynomial factorization
Taking common factors
Factoring higher degree polynomials
Factoring using structure
Unit 3: Polynomial division
Dividing polynomials by x
Dividing quadratics by linear factors
Dividing polynomials by linear factors
Polynomial Remainder Theorem
Intro to the Polynomial Remainder Theorem ✓ Check-ins6:43
Remainder theorem: finding remainder from equation ✓ Check-ins3:32
Remainder theorem examples ✓ Check-ins5:32
Remainder theorem: checking factors ✓ Check-ins3:26
Remainder theorem: finding coefficients ✓ Check-ins3:39
Proof of the Polynomial Remainder Theorem ✓ Check-ins5:42
Unit 4: Polynomial graphs
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
Multiplicity of zeros of polynomials
Unit 5: Rational exponents and radicals
Rational exponents
Properties of exponents (rational exponents)
Evaluating exponents & radicals
Equivalent forms of exponential expressions
Solving exponential equations using properties of exponents
Unit 6: Exponential models
Interpreting the rate of change of exponential models
Constructing exponential models according to rate of change
Advanced interpretation of exponential models
Unit 7: Logarithms
Introduction to logarithms
The constant e and the natural logarithm
Properties of logarithms
Intro to logarithm properties (1 of 2) ✓ Check-ins9:16
Intro to logarithm properties (2 of 2) ✓ Check-ins10:04
Using the logarithmic product rule ✓ Check-ins5:04
Using the logarithmic power rule ✓ Check-ins4:49
Using the properties of logarithms: multiple steps ✓ Check-ins2:10
Proof of the logarithm product rule ✓ Check-ins7:08
Proof of the logarithm quotient and power rules ✓ Check-ins7:59
The change of base formula for logarithms
Solving exponential equations with logarithms
Unit 8: Transformations of functions
Shifting functions
Reflecting functions
Scaling functions
Putting it all together
Graphs of square and cube root functions
Graphs of exponential functions
Unit 9: Equations
Rational equations
Square-root equations
Unit 10: Trigonometry
Unit circle introduction
Radians
Graphs of sin(x), cos(x), and tan(x)
Graphing sinusoidal functions
Sinusoidal models
Unit 11: Modeling
Modeling with function combination
Interpreting features of functions
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.
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