Algebra 2 | Axiom Academy

1

Equations and Inequalities

Master equations and inequalities

24 modules

Parent Functions CatalogLESSON

4

Graphing f = {x² if x < 2; 3x - 2 if x ≥ 2}EXAMPLE

5

Finding where f = x² + 1 and g = 2x - 3EXAMPLE

6

Analyzing f = 2√ + 1EXAMPLE

7

Function Transformer LabLESSON

8

Piecewise Function GrapherLESSON

9

Absolute Value as PiecewiseLESSON

10

Piecewise and Absolute ValuePRACTICE

11

Operations Practice ArenaPRACTICE

12

Piecewise BuilderLESSON

13

Traffic Light FunctionsLESSON

14

Combining FunctionsLESSON

15

Function Arithmetic VisualizedLESSON

16

Composition MachineLESSON

17

Finding Inverse FunctionsLESSON

18

Finding the Inverse of f = /EXAMPLE

19

One-to-One and InversesPRACTICE

20

Inverse Function DetectiveLESSON

21

Transformation RecognitionPRACTICE

22

Functions SummaryLESSON

23

Functions ReferenceFORMULA SHEET

24

Section 1 AssessmentQUIZ

2

Linear Functions

Master linear functions

22 modules

3

Quadratic Functions

Master quadratic functions

27 modules

1

Every Polynomial Has RootsINTRO

2

Roller Coaster PolynomialsINTRO

3

End Behavior PatternsLESSON

4

Multiplicity EffectsLESSON

5

Polynomial Graph SketcherLESSON

6

Polynomial Long DivisionLESSON

7

Dividing x³ - 2x² - 5x + 6 byEXAMPLE

8

Synthetic Division ShortcutLESSON

9

Division Practice LabLESSON

10

Division and TheoremsPRACTICE

11

Remainder and Factor TheoremsLESSON

12

Rational Root TheoremLESSON

13

Fundamental Theorem ApplicationsPRACTICE

14

Descartes' Rule of SignsLESSON

15

Zero Finding StrategyLESSON

16

Finding Zeros of x³ - 2x² - 11x + 12EXAMPLE

17

Finding Zeros PracticePRACTICE

18

Polynomial Zero HunterLESSON

19

Statement and ImplicationsLESSON

20

Graphing y = x³ - 4x² - 7x + 10EXAMPLE

21

Complex Conjugate TheoremLESSON

22

Writing Polynomials from RootsEXAMPLE

23

Polynomial ConstructorLESSON

24

Polynomial Behavior AnalysisPRACTICE

25

Polynomials SummaryLESSON

26

Polynomials ReferenceFORMULA SHEET

27

Section 3 AssessmentQUIZ

4

Polynomial Functions

Master polynomial functions

20 modules

5

Rational Functions

Master rational functions

28 modules

1

Logarithm Rules DiscoveryINTRO

2

The Inverse of ExponentialINTRO

3

The Number eLESSON

4

Exponential Model FitterLESSON

5

Natural Exponential FunctionsPRACTICE

6

Compound Interest Deep DiveLESSON

7

Logarithm DefinitionLESSON

8

Logarithm EvaluatorLESSON

9

Basic LogarithmsPRACTICE

10

Common and Natural LogsLESSON

11

Three Key PropertiesLESSON

12

Solving log₂ + log₂ = 2EXAMPLE

13

Condensing log + 2log - 3logEXAMPLE

14

Expanding log₃EXAMPLE

15

Properties Practice LabLESSON

16

Logarithm PropertiesPRACTICE

17

Change of Base FormulaLESSON

18

Converting Between FormsEXAMPLE

19

Graphing y = 2e^ + 3EXAMPLE

20

Solving Exponential EquationsLESSON

21

Exponential and Log EquationsPRACTICE

22

Solving Logarithmic EquationsLESSON

23

Equation Solving StrategistLESSON

24

Solving 3^ = 7^EXAMPLE

25

Population PredictionLESSON

26

Exponential and Logarithmic SummaryLESSON

27

Exponential and Logarithmic ReferenceFORMULA SHEET

28

Section 5 AssessmentQUIZ

6

Exponential and Logarithmic Functions

Master exponential and logarithmic functions

28 modules

1

Area and Volume ConnectionsINTRO

2

3D Intersection VisualizerINTRO

3

Determinant ExplorerLESSON

4

Cramer's RuleLESSON

5

Solving a 2×2 System with Cramer's RuleEXAMPLE

6

Calculating DeterminantsLESSON

7

Finding the Inverse of [3 2; 5 4]EXAMPLE

8

Multiplying [2 3; -1 4] × [1 -2; 3 1]EXAMPLE

9

Solving the System x + y + z = 6, 2x - y + z = ...EXAMPLE

10

Determinants and ApplicationsPRACTICE

11

Matrix System SolverLESSON

12

Matrix MethodsPRACTICE

13

Matrix InversesLESSON

14

Gaussian EliminationLESSON

15

Solving Using Row ReductionEXAMPLE

16

From System to MatrixLESSON

17

Matrix CalculatorLESSON

18

Matrix Multiplication MechanicsLESSON

19

Matrix OperationsLESSON

20

Matrix Operations PracticePRACTICE

21

Data in Rectangular ArraysLESSON

22

3-Variable System SolverLESSON

23

3-Variable SystemsPRACTICE

24

System Solution TypesLESSON

25

Elimination with Three VariablesLESSON

26

Systems and Matrices SummaryLESSON

27

Systems and Matrices ReferenceFORMULA SHEET

28

Section 6 AssessmentQUIZ

7

Radical Functions

Master radical functions

31 modules

1

Perfect Round ShapesINTRO

2

Standard Form of CirclesLESSON

3

Graphing x²/16 - y²/9 = 1EXAMPLE

4

Converting x² + y² - 6x + 4y - 12 = 0EXAMPLE

5

Graphing ² + ² = 25EXAMPLE

6

Circles PracticePRACTICE

7

Completing the Square for CirclesLESSON

8

Circle DesignerLESSON

9

Finding Intersections of Circle and LineEXAMPLE

10

Two Foci DefinitionLESSON

11

Standard Form of EllipsesLESSON

12

Ellipses PracticePRACTICE

13

Finding FociLESSON

14

Ellipse Properties ExplorerLESSON

15

Planetary OrbitsLESSON

16

Difference of DistancesLESSON

17

Standard FormsLESSON

18

Asymptotes of HyperbolasLESSON

19

Hyperbolas PracticePRACTICE

20

Hyperbola AnalyzerLESSON

21

Navigation and GPSLESSON

22

Identifying ConicsLESSON

23

Conic Sections SorterLESSON

24

General ConicsPRACTICE

25

Rotation of AxesLESSON

26

Graphing x²/25 + y²/9 = 1EXAMPLE

27

Systems of ConicsLESSON

28

Conic Systems SolverLESSON

29

Conic Sections SummaryLESSON

30

Conic Sections ReferenceFORMULA SHEET

31

Section 7 AssessmentQUIZ

8

Sequences and Series

Master sequences and series

28 modules

1

Pattern DetectiveINTRO

2

Summation Practice ToolLESSON

3

Summing 1 + 1/2 + 1/4 + 1/8 + ...EXAMPLE

4

Summation NotationPRACTICE

5

Special Sum FormulasLESSON

6

Properties of SummationLESSON

7

Evaluating Σ from i=1 to 10EXAMPLE

8

Sigma NotationLESSON

9

Geometric Series ExplorerLESSON

10

Geometric Sequences and SeriesPRACTICE

11

Infinite Geometric SeriesLESSON

12

Finding Sum of Geometric SeriesLESSON

13

Finding Sum of First 20 TermsEXAMPLE

14

Compound GrowthLESSON

15

Common RatioLESSON

16

Arithmetic Series CalculatorLESSON

17

Arithmetic Sequences and SeriesPRACTICE

18

Gauss's MethodLESSON

19

Common DifferenceLESSON

20

Stadium SeatingLESSON

21

Recursive FormulasLESSON

22

Sequence GeneratorLESSON

23

Sequence BasicsPRACTICE

24

Sequence NotationLESSON

25

Finding the nth TermEXAMPLE

26

Sequences and Series SummaryLESSON

27

Sequences and Series ReferenceFORMULA SHEET

28

Section 8 AssessmentQUIZ

9

Trigonometry

Master trigonometry

25 modules

10

Conic Sections

Master conic sections

30 modules

1

Menu CombinationsINTRO

2

Box Plots and HistogramsLESSON

3

Statistics CalculatorLESSON

4

Measures of SpreadLESSON

5

Calculating Standard DeviationEXAMPLE

6

Measures of CenterLESSON

7

Class Score AnalysisLESSON

8

Statistical AnalysisPRACTICE

9

Distribution ExplorerLESSON

10

Finding Number of 3-Letter CodesEXAMPLE

11

Normal Distribution PreviewLESSON

12

Discrete DistributionsLESSON

13

Distributions PracticePRACTICE

14

Binomial DistributionLESSON

15

Finding P for 5 Coin FlipsEXAMPLE

16

Expected WinningsLESSON

17

Probability SimulatorLESSON

18

Probability CalculationsPRACTICE

19

Conditional ProbabilityLESSON

20

Solving P when Events OverlapEXAMPLE

21

Probability RulesLESSON

22

Dice and CardsLESSON

23

Combinations FormulaLESSON

24

Counting CalculatorLESSON

25

Counting MethodsPRACTICE

26

Fundamental Counting PrincipleLESSON

27

Permutations FormulaLESSON

28

Probability and Statistics SummaryLESSON

29

Probability and Statistics ReferenceFORMULA SHEET

30

Section 10 AssessmentQUIZ

11

Course Conclusion

Master course conclusion

4 modules

1

Your Mathematical ToolkitLESSON

2

Mathematical Modeling ShowcasePRACTICE

3

Start Your BusinessLESSON

4

Course Connections WebLESSON