K-8 Math/High School Functions

High School Functions

Common Core aligned

40 standards · 36 with slides · 40 with exercises

I
Interpreting Functions
1. Understand the concept of a function and use function notation
  1. HSF.IF.A.1Understand function definition
  2. HSF.IF.A.2Use function notation
  3. HSF.IF.A.3Recognize sequences as functions
2. Interpret functions that arise in applications in terms of the context
  1. HSF.IF.B.4Interpret key features of graphs
  2. HSF.IF.B.5Relate domain to graph and context
  3. HSF.IF.B.6Calculate average rate of change
3. Analyze functions using different representations
  1. HSF.IF.C.7Graph functions and show key featurescoming soon
  2. HSF.IF.C.8Write equivalent function formscoming soon
  3. HSF.IF.C.9Compare function properties
II
Building Functions
1. Build a function that models a relationship between two quantities
  1. HSF.BF.A.1Write a function from contextcoming soon
  2. HSF.BF.A.2Write arithmetic and geometric sequences
2. Build new functions from existing functions
  1. HSF.BF.B.3Identify transformations of graphs
  2. HSF.BF.B.4Find inverse functionscoming soon
  3. HSF.BF.B.5Understand inverse relationship of exponents and logarithms
III
Linear, Quadratic, and Exponential Models
1. Construct and compare linear, quadratic, and exponential models and solve problems
  1. HSF.LE.A.1Distinguish linear and exponential functionscoming soon
  2. HSF.LE.A.2Construct linear and exponential functions
  3. HSF.LE.A.3Compare exponential and polynomial growth
  4. HSF.LE.A.4Express exponential solutions as logarithms
2. Interpret expressions for functions in terms of the situation they model
  1. HSF.LE.B.5Interpret parameters in context
IV
Trigonometric Functions
1. Extend the domain of trigonometric functions using the unit circle
  1. HSF.TF.A.1Understand radian measure
  2. HSF.TF.A.2Extend trigonometric functions using unit circle
  3. HSF.TF.A.3Use special triangles and unit circle
  4. HSF.TF.A.4Explain symmetry and periodicity
2. Model periodic phenomena with trigonometric functions
  1. HSF.TF.B.5Model periodic phenomena
  2. HSF.TF.B.6Restrict domain for inverse trig functions
  3. HSF.TF.B.7Solve trigonometric equations
3. Prove and apply trigonometric identities
  1. HSF.TF.C.8Prove and use Pythagorean identity
  2. HSF.TF.C.9Prove angle sum formulas