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- HSF-BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
- HSF-BF.B.4Find inverse functions.
- HSF-BF.B.5(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

What is Algebra?

Algebra II

» Unit:

Modeling with Algebra

Big Idea:Algebra is built on axioms and definitions and relies on proofs just as much as geometry.

Jacob Nazeck

Suburban Env.

19 Resources

38 Favorites

19 Resources

38 Favorites

Transformation of Functions Day 1

Algebra I

» Unit:

Functions

Big Idea:Students will use structure and patterns to determine the "rules" for translating functions.

James Bialasik

Suburban Env.

19 Resources

20 Favorites

19 Resources

20 Favorites

Can the Dog Reach the Bone? Determine whether a Point Lies within a Circle

12th Grade Math

» Unit:

Circles

Big Idea:Will the dog be able to reach its bone? Students apply the definition of a circle, along with a method for determining whether or not a point lies on a circle.

Hilary Yamtich

Urban Env.

14 Resources

10 Favorites

14 Resources

10 Favorites

Transformation of Polynomial Functions

Algebra II

» Unit:

Polynomial Functions

Big Idea:Models support conceptual understanding of function transformations. From cube to cubic!

Amelia Jamison

Rural Env.

30 Resources

30 Resources

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

Standard Form of Circle Equations

12th Grade Math

» Unit:

Circles

Big Idea:How can I tell if this weird-looking equation will make a circle when I graph it? Students discover how to apply previous knowledge about completing the square to a new problem.

Hilary Yamtich

Urban Env.

13 Resources

13 Resources

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.

Jarod Hammel

Suburban Env.

14 Resources

1 Favorite

14 Resources

1 Favorite

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.

Tiffany Dawdy

Urban Env.

19 Resources

6 Favorites

19 Resources

6 Favorites

Transformations "How To" Guide

Algebra I

» Unit:

Functions

Big Idea:Students will be producing a "how to" guide for horizontal and vertical transformations of functions.

James Bialasik

Suburban Env.

13 Resources

8 Favorites

13 Resources

8 Favorites

Stretching Exponential Functions (and your mind)

12th Grade Math

» Unit:

Exponential Functions and Equations

Big Idea:Students’ algebraic skills are reinforced as they discover that some different transformations are actually equivalent.

Tiffany Dawdy

Urban Env.

19 Resources

2 Favorites

19 Resources

2 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

Circle Lattice Points

12th Grade Math

» Unit:

Circles

Big Idea:Instead of telling students the equation for a circle, developing it themselves enables students to make the connection between circles and the Pythagorean Theorem.

Hilary Yamtich

Urban Env.

10 Resources

2 Favorites

10 Resources

2 Favorites

Further Exploration of Distance Functions

12th Grade Math

» Unit:

Absolute Value Functions and More Piecewise Functions

Big Idea:Are there function rules to fit these relationships? Students apply prior knowledge to a new problem and find functions to fit their data. The optional use of technology allows them to check models on their own.

Hilary Yamtich

Urban Env.

10 Resources

1 Favorite

10 Resources

1 Favorite

More 4-Column Data Tables

12th Grade Math

» Unit:

More Abstract Work with Quadratic Functions

Big Idea:What happens when we remove the two middle columns? Students develop a method to solve problems with even less information given than the day before.

Hilary Yamtich

Urban Env.

12 Resources

1 Favorite

12 Resources

1 Favorite

Profit Maximization

12th Grade Math

» Unit:

More Abstract Work with Quadratic Functions

Big Idea:What happens to the number of customers as you increase the price of the item? How does this affect your profit?

Hilary Yamtich

Urban Env.

12 Resources

12 Resources

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF-BF.B.4

Find inverse functions.

HSF-BF.B.5

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.