Lesson Plan
EngageNY

Comparing Linear and Exponential Models Again

For Students 9th - 10th Standards
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Lesson Plan
EngageNY

Modeling a Context from Data (part 2)

For Teachers 9th - 10th Standards
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
Lesson Plan
Virginia Department of Education

Functions 2

For Teachers 8th - 10th Standards
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
Lesson Plan
Chicago Teachers Union Quest Center

Factored Form of a Quadratic Function

For Teachers 9th - 12th Standards
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Worksheet
Math Guy

Algebra 2 Practice Final

For Students 9th - 12th Standards
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
Lesson Plan
EngageNY

Linear and Nonlinear Expressions in x

For Teachers 8th Standards
Linear or not linear — that is the question. The lesson plan has class members translate descriptions into algebraic expressions. They take the written expressions and determine whether they are linear or nonlinear based upon the...
Lesson Plan
Curated OER

Algebra I: Linear Functions

For Teachers 8th - 10th
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This instructional activity allows for the discussion of independent and dependent...
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Lesson Plan
Mathematics Assessment Project

Representing Quadratic Functions Graphically

For Teachers 9th - 12th Standards
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Lesson Plan
EngageNY

Which Real Number Functions Define a Linear Transformation?

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
Assessment
Del Mar College

Algebra Assessment Review

For Students 10th - Higher Ed Standards
Jam packed with problems, this advanced Algebra worksheet focuses on topics such as domain, solving quadratics, solving rationals, and function notation.  
Worksheet
Curated OER

Polynomials

For Students 8th - 9th
In this worksheet, students solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
Worksheet
Curated OER

Algebra 2 Test

For Students 9th - 11th
In this algebra instructional activity, students solve problems by graphing inequalities, finding the slope of a line and identifying functions. This is a review of chapter 2 on an algebra test. There are 21 questions.
Worksheet
Curated OER

Algebra II Test Chapter 3: Slope & Functions

For Students 10th - 12th
In this slope and functions worksheet, students determine the slope of a line.  They identify functions and determine an equation of a line that is parallel or perpendicular to given points.  This three-page worksheet contains...
Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
For this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.
Worksheet
Curated OER

Function Tables

For Students 11th
In this function tables worksheet, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine the input...
Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
In this domain and range worksheet, students examine functions and identify the range of a function.  They find the maximum and minimum value of a function.  This two-page worksheet contains 7 multiple-choice problems. ...
Lesson Plan
Curated OER

Exploring Exponential Growth and Decay Functions

For Teachers 9th - 11th
Students differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Lesson Plan
Curated OER

Functions

For Teachers 9th - 10th
In this algebra worksheet, students look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 12th Standards
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
Worksheet
Curated OER

Relation, Function, Domain, & Range

For Students 9th - 12th
For this relation, function, domain, and range worksheet, students answer 6 open-ended questions about relations and functions.  Students determine the domain and range of a function.  Students give examples and non-examples of...