Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
Lesson Plan
EngageNY

Transformations of the Quadratic Parent Function

For Students 9th - 10th Standards
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The lesson begins with the vocabulary of a quadratic graph and uses...
Worksheet
Lane Community College

Review Sheets: College Algebra

For Students 9th - 12th
A jam-packed instructional activity has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for...
Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this learning exercise provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on...
Worksheet
Curated OER

Properties of Exponential Functions

For Students 10th - 11th
In this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Worksheet
Curated OER

Families of Functions

For Students 11th
In this Algebra II worksheet, 11th graders shift the absolute value function horizontally and vertically, stretch and shrink, and reflect parent function. The two page worksheet contains three problems. Answers are not provided. 
Worksheet
Curated OER

The Reciprocal Function Family

For Students 11th
In this Algebra II activity, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes.  The two page activity contains explanation, examples, and two...
Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation. 
Worksheet
Curated OER

Transforming Parabolas

For Students 11th
In this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola.  The three page worksheet provides explanation of topic, worked examples, and four practice problems. ...
Worksheet
Curated OER

Inequalities are Everywhere

For Students 9th
In this Algebra I activity, 9th graders work with a family member to graph inequalities on a number line. The two page activity contains five questions. Answers are included.
Worksheet
Curated OER

Rational Expressions

For Students 11th
In this Algebra II learning exercise, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors.  The two page learning exercise contains instruction, worked examples, and three practice...