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Illustrative Mathematics

Equations of Lines

For Teachers 7th - 9th Standards
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases.  It...
Lesson Plan
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Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson plan asks scholars to explore the behavior of different rational functions. Groups discover a connection between the...
Worksheet
Curated OER

Coordinate Graphs

For Students 4th - 6th Standards
As you introduce coordinate graphs to scholars, be sure to use guided worksheets like this one. Using an example for guidance, they write the coordinates of five points on a graph, each distinguished as a shape symbol. Next, scholars do...
Lesson Plan
Curated OER

Hybrid Vehicles: Cut Pollution and Save Money

For Teachers 7th - 8th
Math and science meet in this lesson on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson that compares the use of internal combustion engines to hybrid electric engines. Participants...
Interactive
CK-12 Foundation

Forms of Linear Equations: Equation Exploration

For Students 8th - 9th Standards
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
Handout
Del Mar College

All About Lines

For Students 7th - 10th Standards
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Worksheet
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Curated OER

Quick Graphs of Linear Equations

For Students 9th - 12th Standards
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Worksheet
Curated OER

Polynomial Functions

For Students 11th - Higher Ed
In this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page worksheet contains sixty problems.  Answers are included. 
Worksheet
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Curated OER

Rational Functions

For Students Higher Ed
For this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
Lesson Plan
Curated OER

Quadratic Functions

For Teachers 8th - Higher Ed
For this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
Lesson Plan
Curated OER

Profitable Soda Stand

For Teachers 8th - 10th
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Worksheet
Curated OER

Linear Equations

For Students 8th - 9th
Eighth and ninth graders solve and graph 42 different problems that include writing various equations and graphing them on a grid. First, they create a table for each equation and graph it on a grid locating the x-and y-intercepts. Then,...
Instructional Video18:44
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Flipped Math

Modeling with Graphs

For Students 9th - 10th Standards
Create a graph for anything in the world. Pupils continue to work with graphs that model situations. The learners analyze different graphs to answer questions about the scenario along with finding equations of graphs. Scholars use...
Lesson Plan
Curated OER

Standard Linear Form

For Teachers 9th
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Worksheet
Curated OER

Graphing Linear Equations

For Students 8th - 12th
In this linear equations worksheet, students graph 2 linear equations using x- and y- intercepts. Students then graph 2 additional equations using the slope and y-intercept method.
Worksheet
Curated OER

Graphs of Quadratic Equations

For Students 9th
In this graphs of quadratic equations instructional activity, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...
Lesson Plan
Curated OER

More On Graphing Linear Equations

For Teachers 9th - 10th
In this linear equation worksheet, students graph linear equations and identify the x or y-intercept. There are nine graphing equations on this two-page worksheet.
Lesson Plan
Curated OER

Point-Slope Form

For Teachers 9th
Ninth graders explore the point-slope form of linear equations and graph lines in the point-slope form. After completing the point-slope equation, they identify the slope of a line through a particular point. Students explain the...
Worksheet
Curated OER

Linear Equations

For Students 8th
In this Algebra I worksheet, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line.  The five page worksheet contains ten...
Worksheet
Curated OER

Linear Equations

For Students 7th - 12th
For this Algebra I worksheet, students determine the graph of the equation of a line.    Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
Worksheet
Curated OER

Graphing 3 Ways

For Students 8th - 12th
In this graphing worksheet, students graph 10 equations using the following methods: slope-intercept form, x- and y-intercepts, or by using a table. Students check their work using a graphing calculator.
Lesson Plan
Curated OER

Introducing Linear Terminology

For Teachers 9th
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept of lines. They use linear equations to model real data and define to define the...
Worksheet
Curated OER

Additional Practice Problems with Skills for Quadratic Functions and Equations

For Students 8th - 9th
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, kids plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations. Students...
Worksheet
Curated OER

Chapter 11 - Objective 1.1 Graphing

For Students 11th - 12th
In this graphing worksheet, students graph linear equations and identify the x and y-intercept. This one-page worksheet contains ten problems.

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