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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.

Writing Linear Equations (Day 1 of 2)

Algebra I

» Unit:

Linear & Absolute Value Functions

Big Idea:Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.

Linear Functions

Algebra I

» Unit:

Linear Functions

Big Idea:Linear functions can be used to model how a changing quantity is represented in both the graph and equation of a function.

Writing the Equation of A Linear Function (Day 2 of 2)

Algebra I

» Unit:

Linear Functions

Big Idea:This lesson allows students to understand how to use slope to write an explicit formula for a linear function.

Building Connections: Building Polynomials (Day 1 of 2)

12th Grade Math

» Unit:

Polynomial Functions and Equations

Big Idea:Love, love, love(!) this lesson from NCTM where students build a polynomial function based on linear factors.

Review Workshop: Polynomial Functions and Expressions

Algebra II

» Unit:

Polynomial Functions and Expressions

Big Idea:Tomorrow is the unit test on polynomial functions and expressions. In this lesson, we do more practice with word problems, solving equations, graphing parabolas, and rewriting quadratic functions.

Features of a Parabola

Algebra I

» Unit:

Quadratic Functions

Big Idea:Students finish up the Quadratic Functions Gallery Walk and begin to spot connections between where the roots and where the vertex are located.

What's In an Intersection?

Algebra I

» Unit:

Systems of Equations

Big Idea:The "closeness" of one graph to another matches the accuracy of a guess and a check.

Quadratic Functions Review and Portfolio

12th Grade Math

» Unit:

More Abstract Work with Quadratic Functions

Big Idea:What are the key ideas and skills of this unit? What do you most need to review or understand better?

What if We Start With the Axis of Symmetry?

Algebra I

» Unit:

Quadratic Functions

Big Idea:An investigation of the relationship between the discriminant and the axis of symmetry lays foundations for students to understand the quadratic formula.

How Does a Parabola Grow?

Algebra I

» Unit:

Quadratic Functions

Big Idea:It's not so much about the shortcut as it is about the structure it reveals!

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!

Moving Toward Mastery: Completing the Square (Day 1)

Algebra I

» Unit:

Quadratic Functions

Big Idea:There are uses for completing the square: first, as it relates to vertex form and graphing parabolas, and second as it relates to solving quadratic equations. Today, we'll get at both.

Moving Toward Mastery: Completing the Square (Day 2)

Algebra I

» Unit:

Quadratic Functions

Big Idea:Students will continue to see that graphing quadratic equations and solving them work in tandem: the better we understand one, the more sense the other will make!

What Does "a" Do?

Algebra I

» Unit:

Quadratic Functions

Big Idea:Starting with today's assignment, my classroom becomes a workshop. Every student will learn as much as they can between now and the end of the unit.

Finding Vertices of Parabolas

12th Grade Math

» Unit:

More Abstract Work with Quadratic Functions

Big Idea:Why is finding the vertex of a parabola useful? How can you find the vertex when the function rule is written different ways?

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.