Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Hawaiʻi State Department of Education
Dimension Dances
Use dance to help learners conceptualize line segments, rays, lines, and planes. They choreograph dances that show dimensional space. Dancers start by pondering space, point, and lines as the teacher draws them in the air. Each...
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
Multivariable Calculus: Parametric Equations of Lines and Planes
In this parametric equation instructional activity, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page instructional activity contains...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Curated OER
Mapping Worksheet #1
Get out the compass and a pencil its time to use a coordinate grid to practice mapping skills. Young cartographers use the prompts and provided grid to plot locations, draw parallel lines, and determine distances between points.
Math Drills
Christmas Cartesian Art Snowflake
A festive math worksheet hones graphic skills and keeps the season bright! Young mathematicians join points in the order they were graphed to create a snowflake picture.
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Math Drills
Thanksgiving Cartesian Art: Mayflower
How did the Pilgrims arrive to America? Middle schoolers graph ordered pairs on a coordinate system, connect the points, and discover a mystery picture—the Mayflower.
EngageNY
Distance on the Coordinate Plane
Scholars learn how to find the distance of vertical and horizontal line segments on the coordinate plane in the 19th installment of a 21-part module. The use of absolute value comes in handy.
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Curated OER
Lines, Rays, Line Segments, and Planes
Students are introduced to lines, rays, line segments and planes. They explore the differences between lines, rays, line segments and planes. Students pracice graphing lines, rays, line segments and planes.
Curated OER
Parallel Lines and Transversals
In this parallel lines and transversals instructional activity, 10th graders solve nine different problems related to measuring parallel lines and transversals. First, they name two more pairs of parallel segments, two more skew...
Curated OER
Lines and Angles
Sixth graders explore lines and angles. They create visual representations of lines, rays and angles by drawing them on paper and using a geoboard. On paper, 6th graders write a summary of the characteristics of their representations.
Curated OER
Parallel Lines and Transversals
In this parallel lines and transversals learning exercise, 10th graders solve eleven problems that include identifying and defining transversals and parallel lines. First, they state the transversal that forms each pair of angles and...
Curated OER
Coordinate Plane
Tenth graders plot points on a coordinate plane. In this geometry lesson, 10th graders identify the different quadrants, plots points on a number line and coordinate plane and solve for the midpoint of line segments.
Curated OER
Intro to the Coordinate Plane
Students identify the axes, quadrants of the coordinate plane and plot points on the plane. They take notes on the coordinate plane. Students and teacher go over examples of the coordinate plane. As an independent practice students...
Curated OER
Graphing and the Coordinate Plane
Students examine the four quadrants of Cartesian coordinate plane. They play maze games and coordinate games to discover how to read and plot points on the plane. Students plot points on the coordinate plane and examine the ratio of...
Curated OER
An Introduction to the Coordinate Plane
In this geometry worksheet, students plot points on a coordinate plane and identify the different quadrants each point is in. They have to be able to identify coordinate pairs, given the points on the graph. There are 62 questions.
Curated OER
Mapping a Site Using a Coordinate Plane
Learners map their playground as if it were an archeological site. They locate objects on the playground and determine their location using coordinate points. A related lesson is Coordinate Grid: Mapping an Archeological Site.
Curated OER
Basic Geometry ... A Pathway to Angles
Help 9th graders identify lines, points, rays, and planes in geometry. They practice identifying, measuring, and drawing angles of different degrees. This is a fundamental lesson to help students learn the building blocks of geometry.
Curated OER
Point, Line, Plane
In this geometry worksheet, students use the correct sketch to represent lines, planes and points. They convert the word into drawings of the appropriate figure. There are 20 questions.
CK-12 Foundation
Midpoint and Segment Bisectors: The Midpoint Formula
Let's meet in the middle. Given two points on the coordinate plane, pupils use the interactive to find the midpoint. The interactive provides a graphical display of the midpoint and the midpoint formula with the coordinates of the...