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...
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...
EngageNY
Locating Ordered Pairs on the Coordinate Plane
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...
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
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...
PBS
Working with Coordinate Planes: Assessments
It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
Mathed Up!
Coordinates
Young graphers decide where to plot a point given a specific ordered pair. The problems vary in difficulty, beginning with simpler coordinates, and ending with plotting and connecting coordinates. Each graph is labeled with the...
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A instructional activity has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
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...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Curated OER
Point Reflection
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000.
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Concord Consortium
Rectangle Space
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
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...
EngageNY
Every Line is a Graph of a Linear Equation
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...
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
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.
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...