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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.

Graphing Exponential Functions

12th Grade Math

» Unit:

Exponential Functions and Equations

Big Idea:Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.

Bunnies and Exponential Growth

12th Grade Math

» Unit:

Exponential Functions

Big Idea:Students experience and describe exponential growth by looking at exponentially increasing bunny populations.

Graphs of Sine and Cosine

Algebra II

» Unit:

Trigonometric Functions

Big Idea:Students get to build the graph of sine or cosine with yarn and spaghetti.

Graphing & Modeling with Exponents

Algebra II

» Unit:

Exponents & Logarithms

Big Idea:How high will the basketball bounce and will it ever stop? An exponential model sheds light on the question!

Catch the Mistake

12th Grade Math

» Unit:

Midterm Review and Exam

Big Idea:Mathematical Practice 3 takes center stage as students critique the reasoning of others for problematic questions.

Shifting Exponential Functions

12th Grade Math

» Unit:

Exponential Functions and Equations

Big Idea:Building on yesterday’s idea, key features of exponential graphs, students see how parameter changes of the function can change these features.

Riding a Ferris Wheel - Day 1 of 2

12th Grade Math

» Unit:

Trigonometric Functions

Big Idea:Use a Ferris wheel scenario to model sinusoidal functions.

"Demystifying e" Day #1

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

Extra Credit Quiz

12th Grade Math

» Unit:

Midterm Review and Exam

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

Unit Review Game: The Row Game

12th Grade Math

» Unit:

Exponential and Logarithmic Functions

Big Idea:Get everyone involved and incorporate movement using The Row Game.

Inverse Trig Functions - Day 1 of 2

12th Grade Math

» Unit:

Trigonometric Functions

Big Idea:Use a graphical perspective to establish inverse trig functions.

Midterm Review Workshop

12th Grade Math

» Unit:

Midterm Review and Exam

Big Idea:Students work on midterm review and let you know what they still need help with.

Transformations of Sine and Cosine Graphs

Algebra II

» Unit:

Trigonometric Functions

Big Idea:How many equations can on trig function actually have? Here's a hint... it's a lot more than one.

Graph of Tangent

Algebra II

» Unit:

Trigonometric Functions

Big Idea:How can you use similar triangles to create the graph of tangent? Find out in this lesson.

Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson welcomes the students back from spring break with a transition to inverse functions. The element of “role play” helps to set the stage for the foundation of logarithms

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.