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Illustrative Mathematics

A Midpoint Miracle

For Teachers 9th - 12th Standards
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
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Linear Functions Quiz

For Students 9th - 11th
In this algebra worksheet, students solve 2 multi-step problems, where they use linear functions to determine the equation of a line.
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Activity #3 Finding Mass

For Teachers 5th - 8th
Students use graph paper to construct a graph and determine the slope of a straight line. They determine the weight (mass) of paper clips with a pan balance. Pupils weigh an unknown number of paper clips, and to interpret the graph to...
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Problem Solving: Graphing Functions

For Students 5th - 6th
In this graphing functions worksheet, students solve 6 word problems, finding ordered pairs, missing coordinates and numbers, slopes of lines and functions.
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Circles Minilab

For Teachers 3rd - Higher Ed
Students learn how to measure the diameter and circumference of a circle. In this circle instructional activity, students organize their data to create a graph. Students utilize their graph to make an inference about the slope of pi.
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Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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Review and prepare for the Picture Project

For Teachers 9th - 11th
Learners identify a linear equations given the slope. In this algebra instructional activity, students write the equation of a line given the slope or two points. They calculate the slope given two points and use the point slope equation...
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Red River Contours

For Students 7th - 10th
In this contour map worksheet, students use a given contour map to answer 16 questions about the area shown on the map. Topics include the gradient from one spot to another, the elevation, the direction of the flow of the Red River, the...
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Practice Graphing y = mx + b

For Teachers 9th
Ninth graders graph linear equations of the form y= mx + b. In this algebra lesson, 9th graders are able to graph a line given the slope and y-intercept. They can write the equations of a line given the graph of a line and can...
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High School Mathematics Problems from Alaska: Dog Lot Math

For Students 9th - 12th
Students determine the cost of feeding dogs during the winter and summer months when using commercially produced dog food.
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Rate of Change Graphically

For Teachers 9th - 10th
Learners calculate the rate of change. In this algebra instructional activity, students identify the slope and discuss the different properties of lines as they relate to rate. A discuss doubling time, zero slope and being in two places...
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Graphing Inequalities

For Teachers 9th - 11th
Students solve inequalities and graph. In this algebra lesson, students rewrite inequalities in the slope intercept form and graph using the slope and intercept. They shade the correct side of the line using greater than or less than as...
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Graph a Situation Without a Table

For Teachers 9th - 10th
Students graph an equation without a table. In this algebra lesson, students are given rate or time and asked to graph a line at the starting rate. They use the slope intercept form to decipher the word problem and graph the line.
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Graphing Standard Form Inequality

For Teachers 10th - 11th
Young scholars solve equations and graph it. In this algebra instructional activity, students solve inequalities and rewrite them in the slope intercept form. They graph the boundary lines first either as dashed or solid and shade the...
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Human Coordinate Plane

For Teachers 8th
Eighth graders form a human coordinate grid to develop knowledge of the placement and meaning of coordinates on a grid. They experience the placements of the x and y coordinates in an ordered pair.
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Commercial Salmon Fishing

For Students 9th - 12th
Students work with data about commercial fishing ofsalmon in Alaska. Students gather data, graph it, and analyze it.
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Be the Kiwi

For Teachers 9th - 10th
Learners analyze linear equation. In this algebra lesson, students analyze and graph data. They solve problems involving linear equations and graph lines using the slope and y intercept.
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Points as solutions

For Teachers 9th
Ninth graders graph linear functions using coordinate points. For this algebra lesson, 9th graders plot points and graph a line. They use the slope intercept form to graph their equation and evaluate points as solution to the function.
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Writing equations for the picture project

For Teachers 9th - 10th
Learners write equations for their graphs. For this algebra lesson, students analyze graphs after they plot them using coordinate points and write an equation for the line given the slope and y-intercept. They express their answers using...
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Midsegments of Quadrilaterals

For Teachers 9th - 12th Standards
High schoolers explore the concept of quadrilaterals as they find the midsegments of quadrilaterals using Cabri Jr. on a graphing calculator. They find midpoints, slopes, angles, and distances of lines and angles.
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Using Tables to Solve Linear Functions

For Teachers 9th - 12th Standards
Oh that intercept! Budding algebra masters solve linear equations from standard to intercept form. They identify the slope and y-intercept to help graph the lines, an then create coordinate pairs using a table of values. Great TI tips...
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Linear Functions

For Teachers 9th - 10th
Students solve, identify and define linear equations. In this algebra lesson, students calculate the slope and y-intercept of a line. They graph the line given two points and the slope.
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Writing Linear Equations

For Teachers 8th - 10th
Students rewrite word problems using algebraic symbols. In this algebra lesson, students write linear equations using the slope and y intercept. They write equations given two points that are on the line.
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Linear Functions

For Students 10th - 12th
For this linear functions worksheet, learners problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.

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