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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...
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...
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...
Lesson Plan
Virginia Department of Education

Slope-2-Slope

For Teachers 8th - 10th Standards
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Worksheet
Curated OER

Skills Review Sheet: Equations

For Students 8th - 9th
Learners find the equation that passes through two given points. They then locate the intersection of two lines, and find the x and y intercepts for four parabolas when given their equations. 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

Graphing Applications

For Students 7th - 12th
In this graphing applications worksheet, students derive equations for 4 word problems. Students then define variables, find intercepts, graph the equations, and interpret the slopes.
Worksheet
Curated OER

Linear Equations

For Students 9th
In this linear equations worksheet, 9th graders solve and complete 7 different problems that include a number of linear equations. First, they determine the slope given the points and then write an equation in slope-intercept form. Then,...
Worksheet
Curated OER

Worksheet 3.5 Simultaneous Equations

For Students 8th - 9th
For this simultaneous equations worksheet, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of equations...
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...
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...
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

Equations and Inequalities

For Students 9th
In this equations and inequalities worksheet, 9th graders solve and complete 10 different multiple choice problems. First, they determine the equation of a line that has a given slope and contains a point. Then, students determine the...
Lesson Plan
Curated OER

Functions Mixed Review: Pracctice A

For Teachers 9th
Ninth graders review their knowledge of functions.  In this Algebra I lesson, 9th graders determine if equations are linear or nonlinear, determine the slope and y-intercept of equations, and determine if a relation is a function in...
Worksheet
Curated OER

Graphing Linear Equations

For Students 9th - Higher Ed
In this graphing worksheet, students graph ten linear equations on each of the graphs provided. They first plug in some values to the given equation using a T-chart. This will give them their coordinates to use on the graph and form...
Worksheet
Curated OER

Slope of a Line

For Students 9th - Higher Ed
In this slope of a line worksheet, students solve ten problems determining the slope of points and an equation. First, they find the slope of the line containing the two points given in the first five problems. Then, students graph the...
Worksheet
Curated OER

Parabolas

For Students 10th
In this parabolas instructional activity, 10th graders solve and graph 10 different problems that include various types of parabolas. First, they determine the vertex and the y-intercept for each problem given the information. Then,...
Worksheet
Curated OER

Functions and Relations

For Students 11th
In this functions and relations worksheet, 11th graders solve and complete 15 various types of problems. First, they find the slope and y-intercept for each function given. Then, students find the slope of the line passing through the...
Worksheet
Curated OER

Finding Equations From Graphs

For Students 9th
In this equations from graphs worksheet, 9th graders solve and graph 10 different problems that include determining the actual equation for each. First, they determine the slope and y-intercept for each graph shown on the right. Then,...
Worksheet
Curated OER

Lines of Slope

For Students 9th
In this lines of slope learning exercise, 9th graders solve and complete 40 various types of problems. First, they find the equation of the lines described and write in slope-intercept form. Then, students graph each equation. They also...
Lesson Plan
Curated OER

The X Factor - Trinomials and Algebra Tiles

For Teachers 7th - 12th
Learners use algebra tiles to identify the binomial factors and the graphing calculator to verify the result. In addition, they will identify the x-intercepts and y-intercepts of each trinomial function and explore relationships between...

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