Curated OER
Coordinate Plane Transformations
Geometric transformations are explored by high schoolers. They will create a set of instructions for plotting coordinates representing an original transformation of a real-world figure. These instructions are shared with middle...
EngageNY
Problem Solving and the Coordinate Plane
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter and...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Curated OER
Rectangles and Trapezoids in the Coordinate Plane
Students determine the missing vertices of quadrilaterals. In this rectangles and trapezoids lesson, students examine the characteristics of quadrilaterals. They identify the missing vertices of a quadrilateral on a coordinate plane.
Curated OER
The World's Simplest Cartesian Diver
Have your class learn about buoyancy using this simple lesson plan. First, they bring in condiment packets and see what happens when they place it in a glass of water. Then, they use one of the packets to illustrate the concept of a...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
EngageNY
Dilations on the Coordinate Plane
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being able...
Curated OER
Coordinate Grid: Mapping an Archaeological Site
Students examine how archaeologists preserve context of sites through use of rectangular grid or Cartesian coordinate system, and develop sense of distance by pacing off and estimating distances.
Curated OER
Coordinate Connections
Sixth graders complete several activities that involve coordinates and graph paper. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders draw and label a coordinate...
EngageNY
Perimeter and Area of Triangles in the Cartesian Plane
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They then...
Curated OER
Geometric Figures and the Coordinate Plane
Sixth graders explore geometric figures. In this geometry lesson, 6th graders manipulate properties and relationships of geometric figures to identify objects on the coordinate planes and describe where figures sit on the planes.
Curated OER
Coordinate Grid: Mapping Archeological Sites
Fourth graders discover how to apply the Cartesian coordinate system by figuring out the length and width of their school playground. They determine that pacing is an important tool for the initial mapping of a site. Students conduct a...
Curated OER
Twists and Turns
Students reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric patterns...
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...
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, young scholars explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Virginia Department of Education
Rotation
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Curated OER
Escher-Esque Tessellations
Middle and high schoolers participate in a seven-part lesson creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
Curated OER
Midpoint Formula in the Coordinate System
Students calculate the midpoint of a line. In this geometry lesson, students identify the different parts of the coordinate plane. They use the midpoint formula to find the middle of segments between a pair of coordinates.
Curated OER
Transforming Triangles
Sixth graders graph translations (slides) and reflections (flips) on a coordinate plane. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders write a paragraph telling...
Curated OER
Getting the Goods on Graphing
Students explore graphing. In this math lesson plan, students graph ordered pairs in the coordinate plane, write the coordinates of points shown on a plane, and create designs or pictures using ordered pairs.
Curated OER
Geometry: Translations and Reflections
Group work and participation is used to perform a specified translation or reflection. In this geometrical translation lesson, small groups of pupils are each given a shape to plot on a coordinate grid. Each shape is then translated or...