Lesson 11Points on the Coordinate Plane
Learning Goal
Let’s explore and extend the coordinate plane.
Learning Targets
I can describe a coordinate plane that has four quadrants.
I can plot points with negative coordinates in the coordinate plane.
I know what negative numbers in coordinates tell us.
Lesson Terms
- quadrant
Warm Up: Guess My Line
Problem 1
Choose a horizontal or a vertical line on the grid. Draw 4 points on the line and label each point with its coordinates.
Tell your partner whether your line is horizontal or vertical, and have your partner guess the locations of your points by naming coordinates.
If a guess is correct, put an X through the point. If your partner guessed a point that is on your line but not the point that you plotted, say, “That point is on my line, but is not one of my points.”
Take turns guessing each other’s points, 3 guesses per turn.
Activity 1: The Coordinate Plane
Problem 1
Print Version
Problem 2
The coordinate plane is divided into four quadrants, I, II, III, and IV, as shown here.
Activity 2: Coordinated Archery
Problem 1
Here is an image of an archery target on a coordinate plane. The scores for landing an arrow in the colored regions are:
Yellow: 10 points Red: 8 points Blue: 6 points Green: 4 points White: 2 points
Type the coordinates for each point in a separate line, using parentheses. Like this:
Name the coordinates for a possible landing point to score:
Print Version
Here is an image of an archery target on a coordinate plane. The scores for landing an arrow in the colored regions are shown.
Yellow: 10 points
Red: 8 points
Blue: 6 points
Green: 4 points
White: 2 points
Name the coordinates for a possible landing point to score.
Are you ready for more?
Problem 1
Pretend you are stuck in a coordinate plane. You can only take vertical and horizontal steps that are one unit long.
How many ways are there to get from the point
to if you will only step down and to the right? How many ways are there to get from the point
to if you can only step up and to the right? Make up some more problems like this and see what patterns you notice.
Lesson Summary
Just as the number line can be extended to the left to include negative numbers, the
The ordered pair
The same reasoning applies to the points