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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.

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!

Introduction to Rational Functions with Real-World Applications

12th Grade Math

Â» Unit:

Rational Functions

Big Idea:How long will a trip take if you travel at a certain speed? Use the relationship between speed and time to explore rational functions and discover asymptotes in the real world.

You canât Get There from Here: Finding the Asymptotes

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Rational functions are explored using Nspire calculators to develop the rules associated with finding horizontal asymptotes algebraically.

Rational Functions Review Day

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:This lesson is all about helping students to solidify their skills in graphing rational equations and wrapping up the unit.

Evolving Rational Functions

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Students build a rational function to investigate the relationships between a graph, an equation, and the undefined values that restrict the function's domain.

Rationalized Transformations: Shifting Rational Functions

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Fluency with manipulating algebraic fractions improves as students investigate the transformations of various rational equations.

Unit Review Game: Pictionary

12th Grade Math

Â» Unit:

Polynomial and Rational Functions

Big Idea:Use a review game to prepare students for the unit assessment.

Transformations of Functions Card Game

Algebra II

Â» Unit:

Semester 2 Review

Big Idea:Go fish! Students describe transformations of functions to get pairs of cards and win.

Light it Up - Day 1: Modeling with Rational Functions

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Students will investigate a variety of fair games, using graphs and tables they will write the rational equation that models the game.

Polynomial and Rational Functions: Unit Assessment

12th Grade Math

Â» Unit:

Polynomial and Rational Functions

Big Idea:Assess students' understanding of polynomial and rational functions.

Light it Up â Day 2: Modeling with Rational Functions

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Students will investigate the Light it Up game and find a rational equation that will help Bart and Lisa to win this game every time!

Graphing Rational Functions

12th Grade Math

Â» Unit:

Polynomial and Rational Functions

Big Idea:Use the conceptual work from the last two days to create an algorithm for graphing rational functions.

Rational Functions and Equations Test

12th Grade Math

Â» Unit:

Rational Functions and Equations

Big Idea:Students will demonstrate their learning of Exponential Functions in this formal assessment.

More Applications of Rational Functions

12th Grade Math

Â» Unit:

Rational Functions

Big Idea:How can we create functions to describe these real world situations? Students explore the behavior of rational functions that they generate.

Ultramarathon Pacing and Rational Functions

12th Grade Math

Â» Unit:

Polynomial and Rational Functions

Big Idea:Use an ultramarathon pacing scenario to make sense of rational functions and asymptotes.

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.