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- HSF-IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- HSF-IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- HSF-IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

- HSF-IF.C.7aGraph linear and quadratic functions and show intercepts, maxima, and minima.
- HSF-IF.C.7bGraph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
- HSF-IF.C.7cGraph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7d(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7eGraph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Parent Functions

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Students organize their prior knowledge of basic functions while learning some calculator basics.

The Tortoise and the Hare Piece-wise Functions

Algebra II

Â» Unit:

Modeling with Functions

Big Idea:Will the tortoise win again? Students will not only find out but write a mathematical story about it.

Investigating a Radical Function

Algebra II

Â» Unit:

Radical Functions - It's a sideways Parabola!

Big Idea:A single radical function, carefully studied, leads students to important conclusions about inverse functions and extraneous solutions.

Extra Credit Quiz

12th Grade Math

Â» Unit:

Midterm Review and Exam

Big Idea:Students will have a powerful incentive to see what they remember from the first semester!

Review Day

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:This lesson, driven by a 3-2-1 assessment, helps students to review past learning and continue to make new connections.

Graphing Functions: Lines, Quadratics, Square and Cube Roots (and Absolute Values)

Algebra I

Â» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students learn to graph different types of functions AND compare and contrast key features of families of functions!

Jeopardy: Basic Functions

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Fun (and basic function review) is what this lesson is all about. Students need to bring their thinking caps to win this game of jeopardy!

Shifting Functions: How do they move?

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Students organize their knowledge of basic functions, then determine how functions can move and how this affects their equation and graphs.

Dicey Functions Day 1: Piecewise functions are basic functions... just cut up!

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Working in teams, students explore piece-wise functions in this self-paced activity that emphasizes MP2: Reasoning Abstractly and Quantitatively.

Dicey Functions Day 2: Piecewise functions are basic functions... just cut up!

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Teams explore piecewise functions on Day 2 of this self-paced activity with built in checks for understanding.

Test Review

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Students work together to review for the upcoming test.

Modeling the Speed of Tsunamis with Square Roots

Algebra II

Â» Unit:

Radical Functions and Equations

Big Idea:Students build a plan to determine the time it takes a tsunami to travel.

The Function Game

12th Grade Math

Â» Unit:

Functioning with Functions

Big Idea:Functions are investigated using a game that is accessible and engaging.

Parking and Pencils: Step Functions and Piecewise Functions

12th Grade Math

Â» Unit:

Functioning with Functions

Big Idea:Model situations using unconventional (step and piecewise) functions.

Step Functions

Algebra II

Â» Unit:

Modeling with Functions

Big Idea:Use real world settings to distinguish between step functions and other general piece wise functions. Can you make the call?

HSF-IF.C.7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

HSF-IF.C.7b

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

HSF-IF.C.7c

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

HSF-IF.C.7d

(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

HSF-IF.C.7e

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.