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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.

Noelani Davis

Urban Env.

19 Resources

39 Favorites

19 Resources

39 Favorites

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.

James Bialasik

Suburban Env.

16 Resources

10 Favorites

16 Resources

10 Favorites

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.

James Bialasik

Suburban Env.

15 Resources

11 Favorites

15 Resources

11 Favorites

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.

Tiffany Dawdy

Urban Env.

23 Resources

8 Favorites

23 Resources

8 Favorites

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.

Colleen Werner

Suburban Env.

13 Resources

6 Favorites

13 Resources

6 Favorites

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.

James Dunseith

Urban Env.

18 Resources

6 Favorites

18 Resources

6 Favorites

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.

James Dunseith

Urban Env.

16 Resources

2 Favorites

16 Resources

2 Favorites

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?

Hilary Yamtich

Urban Env.

7 Resources

1 Favorite

7 Resources

1 Favorite

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.

James Dunseith

Urban Env.

26 Resources

2 Favorites

26 Resources

2 Favorites

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!

James Dunseith

Urban Env.

16 Resources

1 Favorite

16 Resources

1 Favorite

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!

Jason Colombino

Urban Env.

15 Resources

1 Favorite

15 Resources

1 Favorite

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.

James Dunseith

Urban Env.

28 Resources

3 Favorites

28 Resources

3 Favorites

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!

James Dunseith

Urban Env.

15 Resources

1 Favorite

15 Resources

1 Favorite

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.

James Dunseith

Urban Env.

17 Resources

3 Favorites

17 Resources

3 Favorites

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?

Hilary Yamtich

Urban Env.

13 Resources

4 Favorites

13 Resources

4 Favorites

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.