Texas Instruments
Points, Lines, and Planes
High schoolers solve problems dealing with points, lines and planes. In this geometry lesson, students differentiate between parallel lines and planes. They find the intersection of lines and planes.
Curated OER
Points, Lines, Planes, and Space
In this points, lines, planes, and space worksheet, students solve word problems dealing with points, lines, planes, and space. Students complete 20 individual problems and 20 group problems.
National Gallery of Canada
Mastering One-Point Perspective
Cover one-point perspective through observation and practice. Class members examine several works of art that use one-point perspective, look at magazine images to find the vanishing points and horizon lines, and draw their own city...
Curated OER
Tangent Lines and the Radius of a Circle
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution.
Curated OER
Sample Lesson Plan on Lines and Angles
Student complete worksheet using the definitions of lines and angle vocabulary. They define the word and follow a direction given on the worksheet such "construct a line." They complete an online tutorial on how to measure angles using a...
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
Curated OER
Human Coordinate Plane: An Array of Desks
Use a kinesthetic activity to elucidate ordered pairs and coordinate planes. Arrange desks in a square array and distribute to learners cards with ordered pairs based on the locations of their seats. By having various groups of...
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.
EngageNY
Translating Lines
Define parallel lines through transformations. The third instructional activity of 18 examines the result of the translation of a line. Two possible outcomes include coinciding lines and parallel lines.
Education Development Center
Geography of the Coordinate Plane
Put the graph into graphing and allow learners to understand the concept of point plotting and how it relates to data. The worksheet provides a nice way to connect data analysis to a graph and make predictions. The worksheets within...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Space Awareness
Valleys Deep and Mountains High
Sometimes the best view is from the farthest distance. Satellite imaging makes it possible to create altitude maps from far above the earth. A three-part activity has your young scientists play the role of the satellite and then use...
EngageNY
Drawing the Coordinate Plane and Points on the Plane
To plot a point in the coordinate plane, you first need a coordinate plane. Pupils learn to draw an appropriate set of axes with labels on a coordinate plane. They must also determine a reasonable scale to plot given coordinate pairs on...
EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
EngageNY
The Graph of a Linear Equation—Horizontal and Vertical Lines
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...
NTTI
Line 'Em Up!
Coordinate planes and Cartesian graphing systems are the focus of this math lesson. Learners use video, internet activities, and engage in hands-on activities in order to explore coordinate planes. The materials needed for this lesson...
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Curated OER
Analyzing Equations Through Slope and Y-int
With problems applying to modern-day topics like Netflix and McDonald's, math whizzes analyze graphs and investigate the slopes. In this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
Curated OER
Introduction to Parallel Lines in Euclidean Space and in Spherical Space
Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
Project Maths
Planes and Points
Build a solid foundation on which to develop future concepts. Through a guided exploration, learners compare and contrast the characteristics of points, lines, planes, rays, and segments. They measure lengths and practice notation for...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...