6.11
The Standard
The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students read the x-value first and move left or right from the origin. They then use the y-value to move up or down, including fractional and decimal distances.
What Mastery Looks Like
- Students accurately plot positive and negative integers, fractions, and decimals. They place each point in the correct quadrant and explain its location using horizontal and vertical movement.
Common Misconceptions
- Students often reverse the x-value and y-value or move vertically first. They may ignore negative signs, confuse quadrant numbers, or treat fractions and decimals as whole-number distances.
How to Assess It
- Exit ticket: Plot A(-2.5, 1), B(3/4, -2), C(-1.5, -1/2), and D(2, 2.25). Label each point's quadrant.
Lesson moves
Ways to Teach It
Make a floor coordinate grid with tape, then have students stand at locations drawn from cards containing integers, fractions, and decimals.
Ask students to explain how the signs in (-2.5, 3/4) determine movement and quadrant before plotting it.
Play Coordinate Relay: teams draw a card, plot the point, and earn a point only if teammates verify both coordinates.
Use a city map centered at city hall, and assign rational coordinates to landmarks located north, south, east, and west.
Keep exploring
Related Standards
- 6.2
The student applies mathematical process standards to represent and use rational numbers in a variety of forms
- 8.7
The student applies mathematical process standards to use geometry to solve problems
- 5.8
The student applies mathematical process standards to identify locations on a coordinate plane
- 6.8
The student applies mathematical process standards to use geometry to represent relationships and solve problems
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