Algebra 2 (FL B.E.S.T.)
11 units303 videos26 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Properties of functions
Domain and range introduction
Determining the domain of a function
Determining whether values are in domain of function ✓ Check-ins4:57
Examples finding the domain of functions ✓ Check-ins4:25
Worked example: determining domain word problem (real numbers) ✓ Check-ins2:19
Worked example: determining domain word problem (positive integers) ✓ Check-ins2:34
Worked example: determining domain word problem (all integers) ✓ Check-ins5:34
Maximum & minimum points (extrema)
Intervals where a function is positive, negative, increasing, or decreasing
Interpreting features of functions
Symmetry of functions
End behavior
Comparing features of functions
Shifting functions
Reflecting functions
Scaling functions
Identifying transformations
Unit 2: Linear equations, inequalities, and systems
Solving absolute value equations
Intro to absolute value equations and graphs ✓ Check-ins10:41
Solving absolute value equations ✓ Check-ins6:46
Worked example: absolute value equation with two solutions ✓ Check-ins4:50
Worked example: absolute value equations with one solution ✓ Check-ins2:36
Worked example: absolute value equations with no solution ✓ Check-ins3:50
Solving linear systems graphically
Solving linear systems with substitution
Solving linear systems with elimination
Applying systems of equations
Age word problem: Imran ✓ Check-ins3:43
Age word problem: Ben & William ✓ Check-ins6:28
Age word problem: Arman & Diya ✓ Check-ins5:21
System of equations word problem: walk & ride ✓ Check-ins7:00
System of equations word problem: no solution ✓ Check-ins5:03
System of equations word problem: infinite solutions ✓ Check-ins5:01
Systems of equations with elimination: TV & DVD ✓ Check-ins5:51
Systems of equations with elimination: apples and oranges ✓ Check-ins5:06
Systems of equations with substitution: coins ✓ Check-ins5:58
Systems of equations with elimination: coffee and croissants ✓ Check-ins4:15
Unit 3: Quadratic functions & equations introduction
Features of quadratic functions
Graphing quadratic functions
Transforming quadratic functions
Quadratic function word problems
Interpreting quadratic models
Writing & solving quadratic equations
Solving equations graphically
Unit 4: More on quadratics & complex numbers
The imaginary unit i
Complex numbers introduction
Adding & subtracting complex numbers
Multiplying complex numbers
Dividing complex numbers
Factoring quadratics intro
Factoring quadratics by grouping
Difference of squares
Perfect squares
Perfect square factorization intro ✓ Check-ins5:19
Factoring perfect squares ✓ Check-ins4:54
Identifying perfect square form ✓ Check-ins4:37
Factoring perfect squares: negative common factor ✓ Check-ins3:52
Factoring perfect squares: missing values ✓ Check-ins2:39
Factoring perfect squares: shared factors ✓ Check-ins4:26
Taking common factors
Solving quadratic equations: factoring
Solving quadratic equations: completing the square
Solving quadratic equations: complex solutions
Unit 5: Polynomial equations & functions introduction
Polynomial introduction
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
Positive & negative intervals of polynomials
End behavior of polynomials
Adding & subtracting polynomials
Multiplying monomials by polynomials
Multiplying binomials by polynomials
Special products of polynomials
Factoring higher degree polynomials
Factoring polynomials using complex numbers
Unit 6: More on polynomial equations & functions
Dividing polynomials introduction
Dividing quadratics by linear factors
Dividing polynomials by linear factors
Solving polynomial equations by graphing
Advanced polynomial factorization methods
Solving polynomial equations algebraically
- 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
Factor using polynomial division
Unit 7: Inverse functions
Function combination
Function composition
Intro to composing functions ✓ Check-ins6:15
Evaluating composite functions ✓ Check-ins4:10
Evaluating composite functions: using tables ✓ Check-ins4:10
Evaluating composite functions: using graphs ✓ Check-ins3:02
Finding composite functions ✓ Check-ins2:57
Evaluating composite functions (advanced) ✓ Check-ins4:11
Inverse functions introduction
Invertible functions
Inverse functions graphs & tables
Unit 8: Radical functions & equations
Rational exponents
Properties of exponents (rational exponents)
Evaluating exponents & radicals
Graphing radical functions
Operations with radicals
Solving radical equations
Intro to square-root equations & extraneous solutions ✓ Check-ins11:10
Square-root equations intro ✓ Check-ins5:23
Solving square-root equations: one solution ✓ Check-ins3:11
Solving square-root equations: two solutions ✓ Check-ins5:29
Solving square-root equations: no solution ✓ Check-ins3:59
Extraneous solutions ✓ Check-ins7:55
Equation that has a specific extraneous solution ✓ Check-ins4:57
Solving cube-root equations ✓ Check-ins3:34
Unit 9: Exponential functions
Graphs of exponential functions
Graphing exponential growth & decay ✓ Check-ins4:06
Writing exponential functions ✓ Check-ins1:40
Writing exponential functions from tables ✓ Check-ins5:17
Transforming exponential graphs ✓ Check-ins3:05
Transforming exponential graphs (example 2) ✓ Check-ins5:18
Graphing exponential functions ✓ Check-ins3:15
Creating exponential functions
Equivalent forms of exponential expressions
Interpreting the rate of change of exponential models
Constructing exponential models according to rate of change
Advanced interpretation of exponential models
Solving exponential equations using properties of exponents
Compound interest
Nonlinear regression
Unit 10: Logarithmic functions
Introduction to logarithms
Graphs of logarithmic functions
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 11: Rational functions
Reducing rational expressions to lowest terms
End behavior of rational functions
Discontinuities of rational functions
Graphs of rational functions
Graphing rational functions according to asymptotes ✓ Check-ins11:22
Graphs of rational functions: y-intercept ✓ Check-ins3:08
Graphs of rational functions: horizontal asymptote ✓ Check-ins3:16
Graphs of rational functions: vertical asymptotes ✓ Check-ins5:33
Graphs of rational functions: zeros ✓ Check-ins7:47
Modeling with rational functions
Analyzing structure word problem: pet store (1 of 2) ✓ Check-ins5:54
Analyzing structure word problem: pet store (2 of 2) ✓ Check-ins2:44
Combining mixtures example ✓ Check-ins5:48
Rational equations word problem: combined rates ✓ Check-ins5:26
Rational equations word problem: combined rates (example 2) ✓ Check-ins6:00
Rational equations word problem: eliminating solutions ✓ Check-ins7:59
Reasoning about unknown variables ✓ Check-ins6:07
Reasoning about unknown variables: divisibility ✓ Check-ins3:38
Structure in rational expression ✓ Check-ins4:41
Multiplying & dividing rational expressions
Adding & subtracting rational expressions
Adding & subtracting rational expressions: like denominators ✓ Check-ins3:45
Intro to adding rational expressions with unlike denominators ✓ Check-ins2:44
Adding rational expression: unlike denominators ✓ Check-ins5:11
Subtracting rational expressions: unlike denominators ✓ Check-ins4:47
Least common multiple of polynomials ✓ Check-ins6:52
Subtracting rational expressions: factored denominators ✓ Check-ins4:48
Subtracting rational expressions ✓ Check-ins4:36
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