In Grade 5, students use points in the first quadrant to represent real-world and math problems, and explain what the coordinates mean in the situation.
For example, on a map grid, a school at (2, 3) and a park at (6, 3) are on the same horizontal line, 6 − 2 = 4 units apart.
Official benchmarkRepresent mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.
On the FAST test: part of the Grade 5 reporting category Geometric Reasoning, Measurement, and Data Analysis and Probability, which is about 23–29% of the test.
Worked Examples
Worked Example 1
Distance on a Map
The school is at (2, 3) and the park is at (6, 3). How far apart are they?
1The y-coordinates are the same, so they are on a horizontal line.
2Subtract the x-coordinates: 6 − 2 = 4.
Answer: 4 units
Worked Example 2
Points from a Pattern
A plant grows 2 cm each week, starting at 0 cm. Write points (week, height) for weeks 1 to 3.
1Week 1: 2 cm → (1, 2).
2Week 2: 4 cm → (2, 4).
3Week 3: 6 cm → (3, 6).
Answer: (1, 2), (2, 4), (3, 6)
Common Mistakes to Watch For
Adding coordinates to find distance
Wrong:(2, 3) to (6, 3) is 8 units
On a horizontal line, subtract the x-coordinates: 6 − 2 = 4 units.
Swapping what each number means
Wrong:Week 2, height 4 → (4, 2)
Keep the same order as the question: (week, height) → (2, 4).
Helpful Math Tip
Label the axes with what they mean in the story (like "weeks" and "cm"). It keeps the order of the numbers straight.
Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.
