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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 will...
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Lesson Plan
Curated OER

Help Mary Find Her Way Home

For Teachers 5th - 6th
Young scholars discover the first quadrant of the coordinate plane by using coordinate points to give directions. They show a lost girl the way home using coordinate points. They add definitions to their math journals.
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Lesson Plan
Curated OER

Functions and Graphing

For Teachers 5th - 7th
Graphing functions in a real world application makes math come to life. Learners graph points on a coordinate plane and identify various points on a graph by working through a set of real world problems. This is a perfect review exercise.
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Worksheet
Curated OER

Graphing Ordered Pairs

For Students 9th
In this graphing ordered pairs worksheet, 9th graders graph five different sets of numbers on five different graphs. They identify that each of the x-coordinates tells the distance right (positive) or left (negative) and that each...
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Worksheet
Curated OER

Hands On: Plot Points on a Coordinate Grid

For Students 4th - 6th
In this solving coordinate grid word problem learning exercise, students plot points, order pairs, identify horizontal and vertical lines, and find distances to solve problems. Students solve six problems.
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Worksheet
Curated OER

Graphing

For Students 8th - 9th
In this graphing instructional activity, students solve and graph 10 different problems that include determining various coordinates and the slope. First, they use the table to write the x and y coordinates for each point on the graphs....
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Worksheet
Curated OER

The Coordinate Plane

For Students 9th
For this coordinate plane worksheet, 9th graders solve and complete 10 different problems that include graphing points on a plane. First, they graph each point on the coordinate plane shown. Then, students write the ordered pair for each...
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Lesson Plan
Curated OER

Human Coordinate Plane

For Teachers 6th - 8th
Students sit in 25 desks arranged in a square array. They are a human coordinate plane and each of them is to receive a card with an ordered pair (x,y) on it. They who are not seated distribute the ordered pair cards to the appropriate...
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Lesson Plan
Curated OER

Straight Graph Lines: Coordinates

For Teachers 5th - 7th
Young scholars access prior knowledge of coordinates. In this coordinates lesson, students graph coordinate points to create a symmetrical figure and of a straight line. Young scholars complete several practice examples.
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Lesson Plan
Curated OER

Graphing on a Coordinate Plane

For Teachers 8th
Eighth graders explore the coordinate system. They identify the x and y-axis, parts of the coordinate plane, and discuss the process of plotting points. To emphasize the process of plotting points, 8th graders play an ordered pair...
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Lesson Plan
Curated OER

Worksheet 36-Spring 1996

For Teachers Higher Ed
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
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Worksheet
Curated OER

Geometry: Transformations Practice

For Students 9th - 12th
Graph transformations, write rules to describe transformations, find coordinates of vertices after given transformations: geometers practice these skills on a two-page worksheet in 14 problems. No answers are provided.
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Lesson Plan
Curated OER

Inequalities in Two Variables

For Teachers 8th - 9th
In this algebra worksheet, young scholars solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.
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Lesson Plan
Curated OER

Graphs

For Teachers 8th - 9th
For this algebra worksheet, students solve three linear equations to by substitution to determine if the given point is a solution. Students graph and determine the slope and y-intercept of 5 linear equations.
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Lesson Plan
Curated OER

Identify and Graph Linear Equations

For Teachers 8th - 9th
Students investigate linear functions. In this mathematics lesson plan, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
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Lesson Plan
Curated OER

Graphing Greenery

For Teachers 6th - 8th
Young scholars gather leaves and trace them on graph paper. They plot coordinates that approximate the shape of the leaves and share those coordinates as "worksheets" for other students to complete.
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Lesson Plan
Curated OER

Lessen the Loan

For Teachers 7th - 9th
Middle-schoolers explore the concept linear equations. They use the internet to navigate through videos and problems. Pupils problem solve to determine rates of change, slope, and x and y-intercepts.
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Worksheet
Curated OER

x- and y-Intercepts

For Students 9th
For this x- and y-intercepts worksheet, 9th graders solve and graph different problems related to linear equations. First, they determine the x- and y-intercepts by plugging in 0 for each and solving. Then, students find at least one...
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Worksheet
Curated OER

The Coordinate Plane

For Students 9th
In this coordinate plane worksheet, 9th graders solve and graph 30 different problems that include determining various coordinates on a graph. First, they write the ordered pair for each point shown on the grid, naming the quadrant in...
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Worksheet
Curated OER

The Coordinate Plane

For Students 10th
In this coordinate plane activity, 10th graders solve 20 various types of problems all related to identifying point on a coordinate plane. First, they graph each point on the coordinate plane at the top. Then, students determine the...
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Lesson Plan
Curated OER

Exploring Area/Perimeter Through Coordinate Geometry

For Teachers 3rd - 4th
Students explore area and perimeter through coordinate geometry using student literature, hands-on manipulatives, and the Internet.
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Lesson Plan
Curated OER

Cartesian Baseball

For Teachers 9th - 12th
Students are told what a coordinate system is and also that it provides a way of uniquely describing each point on a plane or in space. They are given a practice problem along with the equation. Students solve the following problem:...
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Lesson Plan
Curated OER

Can You Help Me Find My Way Home? (Coordinate Plane)

For Teachers 5th
Fifth graders locate points on a coordinate plane. Through lecture and observation, they discover the parts of the coordinate plane and how to plot an ordered pair. Students locate x and y values in an ordered pair.
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Worksheet
Curated OER

Tables and xy-Coordinates

For Students 7th - 9th
Use this graphing functions activity to have learners complete four tables and graph the results on the included coordinate grid.

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