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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.

Patio Problem: Sequences and Functions

Algebra I

» Unit:

Linear Functions

Big Idea:Arithmetic sequences can be modeled by linear functions that both have the same common difference.

Quadratic Functions: Standard and Intercept Forms

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Quadratic functions are graphed as parabolas; how we go about creating the graph depends on which form the function is written in.

Operations with Polynomials Day 1 of 2

Algebra II

» Unit:

Polynomials

Big Idea:Students get the opportunity to explore and make conclusions about operations with polynomials using graphing technology.

End of Unit Differentiated Problem Set

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson allows the students to apply their mathematical knowledge in a real context.

Elephant Tracks!

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson teaches the students to use the natural logarithm function to find the age of an elephant!

Writing in Math Classroom, Part 1: Functions and Linear Functions

Algebra I

» Unit:

Its Not Always a Straight Answer: Linear Equations and Inequalities in 1 Variable

Big Idea:Students score sample MCAS open responses in groups as an entry point to understanding and reflecting on their own writing!

Quadratic Functions in Three Forms

Algebra I

» Unit:

Quadratic Functions

Big Idea:An brief adventure in number theory provides some background knowledge for completing the square, then students get to practice manipulating quadratic expressions in different forms.

Functions Review Assignment

Algebra I

» Unit:

Functions

Big Idea:This review assignment will wrap up the functions unit and help students understand what they need to continue to study.

Comparing Investments

Algebra I

» Unit:

Exponential Functions

Big Idea:To guide students in practice to develop meaning for each variable in either formula in order to make correct substitutions and evaluations.

Interpreting and Graphing Quadratic Functions

Algebra I

» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students interpret key features of quadratics in real-life contexts to see the value of modeling and power of quadratics!

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

Algebra I

» 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!

Building Quadratic Functions: f(x), kf(x) and f(kx)

Algebra I

» Unit:

Interpret and Build Quadratic Functions and Equations

Big Idea:Students use technology to construct their own understanding of different operations on the graph of quadratic functions!

Calculator Boot-Camp and Solving Exponential Equations

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson places a high emphasis on teaching the students how to properly use a calculator when solving exponential/logarithmic equations.

Differentiated Problem Share Out - Unit Review

Algebra II

» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson allows the students to apply their mathematical knowledge in a real context.

Linear and Nonlinear Function Review and Portfolio

12th Grade Math

» Unit:

Linear and Nonlinear Functions

Big Idea:Give students the chance to put all the pieces together. Give them the chance to make connections between the ideas and skills of the unit.

HSF-IF.C.8a

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

HSF-IF.C.8b

Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.