Math
- Number and Quantity - The Real Number System
- Number and Quantity – Quantities
- Algebra - Seeing Structure in Expressions
- Algebra - Arithmetic with Polynomials and Rational Expressions
- Algebra - Creating Equations
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Linear, Quadratic, and Exponential Models
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Number and Quantity - The Real Number System
- Number and Quantity - The Complex Number System
- Algebra - Seeing Structure in Expressions
- Algebra - Arithmetic with Polynomials and Rational Expressions
- Algebra - Creating Equations
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Linear, Quadratic, and Exponential Models
- Functions - Trigonometric Functions
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Statistics and Probability - Making Inferences and Justifying Conclusions
- Statistics and Probability - Conditional Probability and the Rules of Probability
- Number and Quantity - The Complex Number System
- Number and Quantity - Vector and Matrix Quantities
- Algebra - Arithmetic with Polynomial and Rational Expressions
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Trigonometric Functions
- Geometry - Similarity, Right Triangles, and Trigonometry
- Geometry – Circles
- Geometry - Expressing Geometric Properties with Equations
- Geometry - Geometric Measurement and Dimension
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Statistics and Probability - Conditional Probability and the Rules of Probability
- Statistics and Probability - Using Probability to Make Decisions
New York Math
Algebra II: Functions - Interpreting Functions
Understand the concept of a function and use function notation.
AII-F.IF.3
Fully covered
- Arithmetic sequence problem
- Extend arithmetic sequences
- Extend geometric sequences
- Extend geometric sequences: negatives & fractions
- Extending arithmetic sequences
- Extending geometric sequences
- Geometric sequences review
- Intro to arithmetic sequence formulas
- Intro to arithmetic sequences
- Intro to arithmetic sequences
- Intro to geometric sequences
- Recursive formulas for geometric sequences
- Sequences and domain
- Use arithmetic sequence formulas
- Use geometric sequence formulas
- Using arithmetic sequences formulas
- Using explicit formulas of geometric sequences
- Using recursive formulas of geometric sequences
- Worked example: using recursive formula for arithmetic sequence
Interpret functions that arise in applications in terms of the context.
AII-F.IF.4
Not covered
(Content unavailable)
AII-F.IF.6
Fully covered
- Average rate of change review
- Average rate of change word problem: graph
- Average rate of change word problem: table
- Average rate of change word problems
- Average rate of change: graphs & tables
- Introduction to average rate of change
- Worked example: average rate of change from graph
- Worked example: average rate of change from table
Analyze functions using different representations.
AII-F.IF.7.c
Fully covered
- End behavior of polynomials
- End behavior of polynomials
- Graphs of polynomials
- Graphs of polynomials: Challenge problems
- Intro to end behavior of polynomials
- Positive & negative intervals of polynomials
- Positive & negative intervals of polynomials
- Zeros of polynomials (factored form)
- Zeros of polynomials & their graphs
AII-F.IF.7.e
Mostly covered
- Amplitude & period of sinusoidal functions from equation
- Amplitude of sinusoidal functions from equation
- Amplitude of sinusoidal functions from graph
- Example: Graphing y=-cos(π⋅x)+1.5
- Example: Graphing y=3⋅sin(½⋅x)-2
- Exponential function graph
- Features of sinusoidal functions
- Graph of y=sin(x)
- Graph of y=tan(x)
- Graph sinusoidal functions
- Graph sinusoidal functions: phase shift
- Graphical relationship between 2ˣ and log₂(x)
- Graphing exponential functions
- Graphing exponential growth & decay
- Graphing exponential growth & decay
- Graphing logarithmic functions (example 1)
- Graphing logarithmic functions (example 2)
- Graphs of exponential functions
- Graphs of exponential growth
- Graphs of exponential growth
- Graphs of logarithmic functions
- Interpreting trigonometric graphs in context
- Intersection points of y=sin(x) and y=cos(x)
- Intro to exponential functions
- Midline of sinusoidal functions from equation
- Midline of sinusoidal functions from graph
- Midline, amplitude, and period review
- Period of sinusoidal functions from equation
- Period of sinusoidal functions from graph
- Transforming exponential graphs
- Transforming exponential graphs (example 2)
- Transforming sinusoidal graphs: vertical & horizontal stretches
- Transforming sinusoidal graphs: vertical stretch & horizontal reflection
AII-F.IF.8.b
Partially covered
- Equivalent forms of exponential expressions
- Equivalent forms of exponential expressions
- Exponential vs. linear models
- Exponential decay intro
- Exponential growth vs. decay
- Exponential vs. linear models: verbal
- Exponential vs. linear growth over time
- Graphing exponential growth & decay
- Graphing exponential growth & decay
- Graphs of exponential growth
- Interpret change in exponential models
- Interpret change in exponential models: changing units
- Interpret change in exponential models: with manipulation
- Interpret time in exponential models
- Interpreting change in exponential models
- Interpreting change in exponential models: changing units
- Interpreting change in exponential models: with manipulation
- Interpreting time in exponential models
- Linear vs. exponential growth: from data
- Linear vs. exponential growth: from data
- Linear vs. exponential growth: from data (example 2)
- Modeling with basic exponential functions word problem
- Rewrite exponential expressions
- Rewriting exponential expressions as A⋅Bᵗ
- Warmup: exponential vs. linear growth
AII-F.IF.9
Fully covered
- Compare quadratic functions
- Comparing features of quadratic functions
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
- Comparing linear functions word problems
- Comparing linear functions: equation vs. graph
- Comparing linear functions: faster rate of change
- Comparing linear functions: same rate of change
- Comparing maximum points of quadratic functions