Main content

### Math

## Common Core Math

# High School: Functions: Building Functions

#### HSF.BF.A.1.a

Mostly covered

- Constructing exponential models (old example)
- Constructing linear equations from context
- Exponential expressions word problems (numerical)
- Exponential expressions word problems (numerical)
- Linear functions word problem: iceberg
- Linear functions word problem: paint
- Linear models word problem: book
- Linear models word problem: marbles
- Linear models word problems
- Modeling with basic exponential functions word problem
- Sequences word problems
- Sequences word problems
- Writing functions with exponential decay
- Writing functions with exponential decay
- Writing linear equations word problems

#### HSF.BF.A.1.b

Fully covered

#### HSF.BF.A.1.c

Mostly covered

- Composing functions
- Evaluate composite functions
- Evaluate composite functions: graphs & tables
- Evaluating composite functions
- Evaluating composite functions (advanced)
- Evaluating composite functions: using graphs
- Evaluating composite functions: using tables
- Find composite functions
- Finding composite functions
- Intro to composing functions
- Intro to composing functions
- Meaningfully composing functions
- Model with composite functions
- Modeling with composite functions
- Modeling with composite functions: skydiving

### HSF.BF.A.2

Fully covered

- Arithmetic sequence problem
- Arithmetic sequences review
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of arithmetic sequences
- Converting recursive & explicit forms of geometric sequences
- Converting recursive & explicit forms of geometric sequences
- Explicit & recursive formulas for geometric sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for arithmetic sequences
- Explicit formulas for geometric sequences
- Geometric sequences review
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for arithmetic sequences
- Recursive formulas for geometric sequences
- Sequences word problems
- Sequences word problems

### HSF.BF.B.3

Partially covered

- Amplitude & period of sinusoidal functions from equation
- Amplitude of sinusoidal functions from equation
- Even & odd functions: Equations
- Even & odd polynomials
- Even and odd functions: Equations
- Even and odd functions: Find the mistake
- Even and odd functions: Graphs
- Even and odd functions: Graphs and tables
- Even and odd functions: Tables
- Even/odd functions & numbers
- Function symmetry introduction
- Function symmetry introduction
- Graph sinusoidal functions
- Graph sinusoidal functions: phase shift
- Graphing exponential functions
- Graphing logarithmic functions (example 1)
- Graphing logarithmic functions (example 2)
- Graphing shifted functions
- Graphs of exponential functions
- Graphs of logarithmic functions
- Graphs of logarithmic functions
- Graphs of square and cube root functions
- Graphs of square-root functions
- Identify function transformations
- Identifying function transformations
- Identifying horizontal squash from graph
- Intro to parabola transformations
- Midline of sinusoidal functions from equation
- Period of sinusoidal functions from equation
- Radical functions & their graphs
- Reflect functions
- Reflecting & compressing functions
- Reflecting functions introduction
- Reflecting functions: examples
- Scale & reflect absolute value graphs
- Scale & reflect parabolas
- Scale functions horizontally
- Scale functions vertically
- Scaling & reflecting absolute value functions: equation
- Scaling & reflecting absolute value functions: graph
- Scaling & reflecting parabolas
- Scaling functions horizontally: examples
- Scaling functions introduction
- Scaling functions vertically: examples
- Shift absolute value graphs
- Shift functions
- Shift parabolas
- Shifting absolute value graphs
- Shifting functions examples
- Shifting functions introduction
- Shifting parabolas
- Square-root functions & their graphs
- Symmetry of polynomials
- Transforming exponential graphs
- Transforming exponential graphs (example 2)
- Transforming sinusoidal graphs: vertical & horizontal stretches
- Transforming sinusoidal graphs: vertical stretch & horizontal reflection
- Transforming the square-root function

#### HSF.BF.B.4.a

Fully covered

- Find inverses of rational functions
- Finding inverse functions
- Finding inverse functions: linear
- Finding inverse functions: quadratic
- Finding inverse functions: quadratic (example 2)
- Finding inverse functions: radical
- Finding inverses of linear functions
- Finding inverses of rational functions
- Intro to inverse functions

#### HSF.BF.B.4.b

Fully covered

#### HSF.BF.B.4.c

Fully covered

#### HSF.BF.B.4.d

Fully covered

### HSF.BF.B.5

Fully covered

- Evaluate logarithms
- Evaluate logarithms (advanced)
- Evaluating logarithms (advanced)
- Graphical relationship between 2ˣ and log₂(x)
- Intro to logarithm properties
- Intro to logarithm properties (1 of 2)
- Intro to logarithm properties (2 of 2)
- Intro to logarithms
- Intro to Logarithms
- Justifying the logarithm properties
- Proof of the logarithm product rule
- Proof of the logarithm quotient and power rules
- Relationship between exponentials & logarithms
- Relationship between exponentials & logarithms
- Relationship between exponentials & logarithms: graphs
- Relationship between exponentials & logarithms: tables
- Use the properties of logarithms
- Using the logarithmic power rule
- Using the logarithmic product rule
- Using the properties of logarithms: multiple steps