Lesson Plan
EngageNY

Problem Solving and the Coordinate Plane

For Students 6th Standards
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...
Lesson Plan
EngageNY

Drawing the Coordinate Plane and Points on the Plane

For Students 6th Standards
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...
Lesson Plan
EngageNY

Locating Ordered Pairs on the Coordinate Plane

For Students 6th Standards
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
Interactive
CK-12 Foundation

Graphs in the Coordinate Plane: Functions on a Cartesian Plane

For Students 6th - 8th
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Lesson Plan
1
1
Teach Engineering

Graphing Equations on the Cartesian Plane: Slope

For Teachers 7th - 9th Standards
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 plan also includes the discussion of slopes of parallel...
Printables
1
1
Google

Midpoint and Distance Foldable

For Teachers 7th - 11th Standards
Support young mathematicians with learning the concepts of midpoint and distance with this foldable resource. Offering both graphic examples and written equations, this reference clearly demonstrates for students how these...
Instructional Video9:40
2
2
Flipped Math

Equations of Lines in the Coordinate Plane

For Students 9th - 12th Standards
What, you mean there is algebra in a Geometry class? Pupils review graphing and writing the equations of lines in slope-intercept form. The instruction follows the "I do, we do, you do" framework of a lesson. The instructor first...
PPT
BW Walch

Creating and Graphing Linear Equations in Two Variables

For Teachers 9th - 10th Standards
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...
Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Lesson Plan
West Contra Costa Unified School District

Graphing Piecewise Functions

For Teachers 8th - 10th Standards
Step up to learn about step functions. The activity, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...
Lesson Plan
EngageNY

Every Line is a Graph of a Linear Equation

For Teachers 8th Standards
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
Lesson Plan
EngageNY

Interpreting Graphs of Proportional Relationships

For Teachers 7th Standards
What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...
Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

There is Only One Line Passing Through a Given Point with a Given Slope

For Teachers 8th Standards
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Lesson Plan
EngageNY

Similarity

For Teachers 8th Standards
Use the coordinate plane to show two figures are similar. The activity incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation...
Assessment
Mathed Up!

Inequalities Regions

For Students 9th - 11th
Discover how to solve systems of inequalities by graphing. An informative video shows pupils how to determine the solution set after graphing each inequality of a system. To finish, a worksheet gives them a chance to practice this skill.
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lesson Plan
EngageNY

The Computation of the Slope of a Non-Vertical Line

For Teachers 8th Standards
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...
Interactive
CK-12 Foundation

Graphs of Linear Functions: Line Designs

For Students 8th - 10th Standards
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
PPT
1
1
BW Walch

Solving Systems of Linear Equations

For Teachers 8th - 9th Standards
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
Instructional Video20:52
2
2
Flipped Math

Reflections

For Students 9th - 12th Standards
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...