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Worksheet
Regional Professional Development

Solving Systems of Equations by Graphing

For Students 9th - 12th Standards
With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.
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Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Worksheet
Curated OER

Points, Lines, and Planes

For Students 10th
For this points, lines, and planes worksheet, 10th graders solve 9 various problems related to determining points, lines, and planes. First, they define intersect, collinear, and coplanar of one or more points. Then, students draw and...
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Worksheet
Curated OER

Intersecting Lines

For Students 10th
In this intersecting lines worksheet, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
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Worksheet
Curated OER

Points, Lines, and Planes

For Students 10th
In this points, lines, and planes worksheet, 10th graders complete 10 different types of problems related to identifying various points, lines, and planes in a figure. First, they draw and label a figure for each given relationship....
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Worksheet
Curated OER

Points and Lines

For Students 10th
In this points and lines worksheet, 10th graders solve and complete 10 different problems related to points and lines of a given figure. First, they name all 6 planes shown and determine the intersection of various lines. Then, students...
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Interactive
Curated OER

Graphing Points: Post Test

For Students 5th - 8th
In this graphing points worksheet, students answer multiple choice questions about the points on a given graph. Students answer 10 questions total.
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Interactive
Curated OER

Graphing Points: Pre Test

For Students 5th - 9th
In this graphing points worksheet, students complete multiple choice questions about axis's on a graph and points on a graph. Students complete 10 questions total.
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Lesson Plan
Curated OER

Locating Points Using Cartesian Coordinates

For Teachers 9th - 11th
Students discover coordinates as they explore Chicago. In this math lesson plan, students give the coordinates of a point, plot a point, and use the coordinate system in locating places on a map.
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Worksheet
Curated OER

Plotting Coordinates on a Grid

For Students 6th - 8th
In this plotting points on a graph activity, students plot 6 points on 6 graphs.  Students plot x and y-coordinates in the first quadrant.
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Worksheet
Curated OER

Segment Exercises

For Students 3rd - 5th
In this segments worksheet, students draw a figure for each problem where line segments intersect at a certain point and label each line and intersection. Students complete 3 problems total.
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Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This learning exercise and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by...
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Assessment
Illustrative Mathematics

Graphs of Power Functions

For Students 9th - 12th Standards
There are parent functions, and then there are parent functions with a really interesting way to explore them. High schoolers are asked to graph different combinations of parent functions together and determine the point of intersection....
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Lesson Plan
Curated OER

Points of Intersection

For Teachers 9th - 10th
Students solve systems of equations.  In this solving systems of equations activity, students look for the intersection of the two lines in the system.  Students solve systems that have one solution, no solution, and infinite solutions. ...
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Worksheet
Curated OER

Point of Intersection

For Students 9th - 11th
In this algebra worksheet, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
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Lesson Plan
Illustrative Mathematics

The Circle and The Line

For Teachers 8th - 12th Standards
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
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Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third activity in the series. Pupils explore linear equations and describe the points of intersection with a given polygon...
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Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
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Lesson Plan
Curated OER

Do These Systems Meet Your Expectations

For Teachers 8th - 9th
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
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Instructional Video19:38
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Flipped Math

Graphing Functions to Solve Equations

For Students 9th - 10th Standards
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
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Lesson Plan
Curated OER

Conjectures of Intersecting Circles

For Teachers 9th - 10th
Students make conjectures of intersecting circles. In this geometry lesson, students observe circles and their position in space. They investigate and observe two and three dimensional objects.
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Worksheet
Curated OER

Maximum and Minimum Points

For Students 11th - 12th
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
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Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

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