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Common Core Math - HS Functions
Common Core Math - HS Functions
45 standards ยท 12 with slides
I
Interpreting Functions
Understand the concept of a function and use function notation
1
Understand function definition
2
Use function notation
3
Recognize sequences as functions
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Interpret functions that arise in applications in terms of the context
1
Interpret key features of graphs
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2
Relate domain to graph and context
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3
Calculate average rate of change
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Analyze functions using different representations
1
Graph functions and show key features
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2
Graph linear and quadratic functions
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3
Graph root and piecewise functions
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4
Graph polynomial functions
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5
Graph rational functions
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6
Graph exponential, logarithmic, and trigonometric functions
7
Write equivalent function forms
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8
Use factoring and completing the square
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9
Interpret exponential function properties
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10
Compare function properties
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II
Building Functions
Build a function that models a relationship between two quantities
1
Write a function from context
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2
Determine explicit or recursive expressions
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3
Combine function types
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4
Compose functions
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5
Write arithmetic and geometric sequences
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Build new functions from existing functions
1
Identify transformations of graphs
2
Find inverse functions
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3
Solve for inverse function
4
Verify inverse by composition
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5
Read inverse from graph or table
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6
Restrict domain for invertibility
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7
Understand inverse relationship of exponents and logarithms
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III
Linear, Quadratic, and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems
1
Distinguish linear and exponential functions
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2
Prove growth properties of functions
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3
Recognize constant rate situations
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4
Recognize constant percent rate situations
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5
Construct linear and exponential functions
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6
Compare exponential and polynomial growth
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7
Express exponential solutions as logarithms
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Interpret expressions for functions in terms of the situation they model
1
Interpret parameters in context
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IV
Trigonometric Functions
Extend the domain of trigonometric functions using the unit circle
1
Understand radian measure
2
Extend trigonometric functions using unit circle
3
Use special triangles and unit circle
4
Explain symmetry and periodicity
Model periodic phenomena with trigonometric functions
1
Model periodic phenomena
2
Restrict domain for inverse trig functions
3
Solve trigonometric equations
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Prove and apply trigonometric identities
1
Prove and use Pythagorean identity
2
Prove angle sum formulas
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