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Worksheet
Curated OER

Transformations on the Coordinate Plane

For Students 7th - 10th Standards
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Lesson Plan
Virginia Department of Education

Graphing Linear Equations

For Students 8th Standards
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
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Lesson Plan
Curated OER

Let's Plot Points

For Teachers 5th - 7th
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...
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Lesson Plan
Curated OER

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
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Lesson Plan
Curated OER

Real-World Linear Programming

For Teachers 9th - 12th Standards
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
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Lesson Plan
Curated OER

Systems of Equations and Inequalities

For Teachers 8th - 12th Standards
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
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Handout
Charleston School District

Constructing Rotations

For Students 8th Standards
An instructive lesson provides the basics on how to perform rotations on the coordinate plane. The handout also covers rotating about a point other than the origin and how to perform a series of transformations. 
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Worksheet
Curated OER

Geometry Level 3

For Students 7th - 9th Standards
What a wonderful resource! Learners create two-dimensional shapes according to the instructions stated, use the squares to make a triangular prism, a cube, and a pyramid, and identify features of plane shapes, among a myriad of other...
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Lesson Plan
Curated OER

Getting It Right! An Investigation of the Pythagorean Theorem

For Teachers 6th - 8th
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
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Worksheet
Curated OER

Math 212: Application of Partial Derivatives

For Students Higher Ed
For this partial derivatives worksheet, students find the equation of the tangent plane to a given surface, they compute functions, and sketch graphs of a tangent plane. This two-page worksheet contains three problems.
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Unit Plan
National Security Agency

What’s Your Coordinate?

For Teachers 5th - 8th Standards
Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...
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Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
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Worksheet
Yummy Math

A Cardioid for Valentine’s Day

For Students 7th - 12th Standards
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
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Unit Plan
Mathematics Vision Project

Transformations and Symmetry

For Teachers 9th - 10th Standards
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
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Lesson Plan
Virginia Department of Education

Translation and Reflection

For Teachers 7th Standards
Bring about the change you want to see in the world  or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
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Lesson Plan
Virginia Department of Education

Dilation

For Teachers 7th Standards
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
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Lesson Plan
Curated OER

Measurement and Paper Airplanes

For Teachers 6th
Sixth graders investigate physics by creating paper airplanes. In this flight experiment lesson, 6th graders utilize stationary tools to create elaborate paper airplanes which they fly on their school grounds.  Students complete...
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Lesson Plan
Curated OER

Ordered Pairs on a Coordinate Plane

For Teachers 7th
Seventh graders identify the quadrants and axis of a coordinate plane. In this algebra instructional activity, 7th graders discover the correct way to graph using the coordinate plane. They discuss the relationship between x and y...
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Lesson Plan
Curated OER

Lines in the Coordinate Plane

For Teachers 8th - 9th
Students graph lines in a coordinate plane. In this geometry lesson, students graph lines on a coordinate plane, and identify the slope. They classify the lines as parallel or perpendicular and write an equation of a given line.
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Lesson Plan
Curated OER

Quadrilaterals in the Coordinate Plane

For Teachers 9th - 12th
Learners find the coordinates of the vertices of special quadrilaterals placed in the coordinate plane. They find the coordinates of missing vertices of squares and parallelograms.
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Lesson Plan
Curated OER

The Great Paper Airplane Factory

For Teachers 4th - 5th
Students investigate the economics of starting a business in this series of lessons. They role play parts of a business organization that sells paper airplanes making decisions based on calculations to make the most profitable organization.
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Lesson Plan
EngageNY

Dilations as Transformations of the Plane

For Teachers 9th - 10th Standards
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
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Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
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Performance
Radford University

How to Calculate and Analyze the Equation for a Parabolic Path

For Teachers 9th - 12th Standards
Working in groups, pupils plot three points on the coordinate plane representing three different parabolic paths. Using a calculator, they determine the quadratic regression equation for their models. Each team then figures out the...