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
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Worksheet
Shmoop

Functions Worksheet 5

For Students 9th - 12th Standards
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems. 
Assessment
Concord Consortium

Sum and Product

For Students 8th - 11th Standards
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
Handout
1
1
Chapman University

Graphs of the Sine and Cosine Function in Degrees

For Teachers 10th - 12th
This bright, clear, graphic, display of the sin(x) and cos(x) functions spans the domain between -360 degrees and 360 degree. Use it as a poster, handout, presentation slide, or project it onto a whiteboard. 
Handout
1
1
Chapman University

Graphs of the Sine and Cosine Function in Radians

For Teachers 10th - 12th
This bright, clear, graphical display of the sin(x) and cos(x) functions spans the domain between -2 pi radians and 2 pi radians. Use it as a poster, handout, presentation slide, or project it onto a...
Worksheet
2
2
Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive learning exercise and an excellent worked out answer key. The learning exercise itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig...
Handout
Mt. San Antonio Collage

Quadratic Functions and Their Graphs

For Students 9th - 12th Standards
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems. 
Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a instructional activity, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and...
Lesson Plan
Virginia Department of Education

Curve of Best Fit

For Teachers 10th - 12th Standards
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Worksheet
Curated OER

Mixed Tables

For Students 3rd - 4th
These dinosaurs act like math machines as scholars practice their division skills. Each one has a given division function to apply to four incoming dividends. Pupils complete the equations, writing in the quotient for each. There...
Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
Lesson Plan
Curated OER

Linear Functions: Slope, Graphs, and Models

For Teachers 8th - 9th
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
Worksheet
Curated OER

Composite Functions and Inverse Functions

For Students 8th - 12th
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises.  The concepts covers include: composite functions, inverse functions, graphs of...
Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Worksheet
Curated OER

Definition of a Function

For Students 8th - 10th
Get those kids to solve and graph 10 different problems that include various types of functions and their relations. They determine if each graph represented is the relation of a function then determine which value of the variable will...
Lesson Plan
Curated OER

Functions and Graphs, Section 1.2

For Teachers 9th - 10th
In this function worksheet, students determine if a list of given relations is a function. They evaluate functions, examine graphs of functions, and find the domain and range of the represented function. Students solve 12 function...
Worksheet
Curated OER

Exponential Functions

For Students 9th - 12th
In this algebra instructional activity, students compute 4 functions for a given value. They graph 4 functions, and write equations for two graphs. Each function has an exponent as the variable.
Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Lesson Plan
Curated OER

The Algebra of Functions

For Teachers 8th - 9th
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus instructional activity is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four...
Lesson Plan
Curated OER

Piecewise-Defined Functions 1

For Teachers 10th - 11th
In this piecewise-defined function, students explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.

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