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EngageNY
Linear and Nonlinear Expressions in x
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...
Virginia Department of Education
Nonlinear Systems of Equations
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...
Shmoop
Functions Worksheet 5
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.
Concord Consortium
Sum and Product
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...
Chapman University
Graphs of the Sine and Cosine Function in Degrees
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.
Chapman University
Graphs of the Sine and Cosine Function in Radians
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...
Mt. San Antonio Collage
Graphing Trigonometric Functions
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...
Mt. San Antonio Collage
Quadratic Functions and Their Graphs
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.
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
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...
Virginia Department of Education
Curve of Best Fit
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...
Curated OER
Mixed Tables
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...
Curated OER
Math Honors 2: Semester 1 Review
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...
Curated OER
Linear Functions: Slope, Graphs, and Models
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...
Curated OER
Composite Functions and Inverse Functions
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...
Curated OER
Quiz: Exponential Functions
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,...
Curated OER
Definition of a Function
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...
Curated OER
Functions and Graphs, Section 1.2
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...
Curated OER
Exponential Functions
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.
Curated OER
Lesson 19: Rational Functions and Long Division
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...
Curated OER
The Algebra of Functions
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...
Curated OER
Finding the Limit: Piecewise Functions and Graphs
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...
Curated OER
Piecewise-Defined Functions 1
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...
Curated OER
Piecewise-Defined Functions 2
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...
Curated OER
Exploration 1: Instantaneous Rate of Change Function
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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