Curated OER
Transformations on the Coordinate Plane
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...
Virginia Department of Education
Graphing Linear Equations
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.
Curated OER
Let's Plot Points
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...
Curated OER
Graphs and Functions
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.
Curated OER
Real-World Linear Programming
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...
Curated OER
Systems of Equations and Inequalities
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....
Charleston School District
Constructing Rotations
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.
Curated OER
Geometry Level 3
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...
Curated OER
Getting It Right! An Investigation of the Pythagorean Theorem
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...
Curated OER
Math 212: Application of Partial Derivatives
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.
National Security Agency
What’s Your Coordinate?
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...
Mathematics Vision Project
Circles: A Geometric Perspective
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...
Yummy Math
A Cardioid for Valentine’s Day
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.
Mathematics Vision Project
Transformations and Symmetry
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...
Virginia Department of Education
Translation and Reflection
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...
Virginia Department of Education
Dilation
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.
Curated OER
Measurement and Paper Airplanes
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...
Curated OER
Ordered Pairs on a Coordinate Plane
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...
Curated OER
Lines in the Coordinate Plane
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.
Curated OER
Quadrilaterals in the Coordinate Plane
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.
Curated OER
The Great Paper Airplane Factory
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.
EngageNY
Dilations as Transformations of the Plane
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...
Shodor Education Foundation
Triangle Area
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...
Radford University
How to Calculate and Analyze the Equation for a Parabolic Path
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...