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
Ordered Pairs
Scholars learn to plot points on the coordinate plane. The lesson plan introduces the idea that the first coordinate of a coordinate pair represents the horizontal distance and the second coordinate represents the vertical distance.
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
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
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.
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Math Drills
Christmas Cartesian Art Santa
Santa has his eye on you in a graphing activity that has young mathematicians plot ordered pairs on a Cartesian plane. After joining the points together, a picture of jolly Santa Claus comes to life.
Math Drills
Christmas Cartesian Art Holly
Happy Holly Days! Get the class graphing points on a coordinate plane with a worksheet that turns ordered pairs into works of Cartesian art.
Math Drills
Christmas Cartesian Art Tree
Spruce up graphing practice with an activity that has young mathematicians plot points on a coordinate plane, and then connect the points to create a Christmas tree.
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.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Teach Engineering
Club Function
Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...
Teach Engineering
Coordinates and the Cartesian Plane
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They show...
Math Drills
Thanksgiving Cartesian Art: Pilgrim Hat
What did some Pilgrims wear on top of their heads? Individuals graph sets of ordered pairs, and connect the points to create a mystery Thanksgiving picture.
Math Drills
Thanksgiving Cartesian Art: Pumpkin
Not a Halloween jack-o-lantern, but a Thanksgiving pumpkin! Young mathematicians graph and connect points on a coordinate system to unveil the mystery picture.
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.
Teach Engineering
Who Can Make the Best Coordinate System?
Working with a map that does not have a coordinate system on it, small, collaborative teams must come up with a coordinate system for their map. Groups then explain their coordinate structure to the class.
Teach Engineering
What's Wrong with the Coordinates at the North Pole?
Here is an activity that merges technology with life skills as individuals use Google Earth to explore the differences between coordinate systems and map projections. The self-guided worksheet is the fourth segment in a nine-part unit....
Teach Engineering
Projections and Coordinates: Turning a 3D Earth into Flatlands
Introduce your class to map projections and coordinates, the basics for the work done in a GIS, with an activity that uses Google Earth to challenge learners to think about the earth's shape.
Math Worksheets Land
Halloween Cartesian Art: Bat
Get the class batty over graphing. Young mathematicians plot ordered pairs in all quadrants of a Cartesian plane, and connect the points to create a bat.
Math Drills
Halloween Cartesian Art: Witch Hat
What is the mystery picture? After plotting points on the first quadrant of a Cartesian coordinate system, young mathematicians connect the points to create a Halloween-themed picture.
Math Drills
Halloween Cartesian Art
Jack-o-lanterns are the face of Halloween. Middle school mathematicians graph coordinates on a cartesian plane and connect the points to create a jack-o-lantern.
Mathematics Assessment Project
Square
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.