Maryland Math 5.GR.A.1
The Standard
Apply the relationship between measurement units within a given measurement system to convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m) and use these conversions in solving multi-step problems.
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTAND RELATIONSHIPS BETWEEN MEASUREMENT UNITS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students change measurements to larger or smaller units within the same system. They use those conversions to solve problems that take more than one step.
What Mastery Looks Like
- A student can change 2.5 meters to 250 centimeters and explain why the number grows. If 75 centimeters and then 40 centimeters are cut from a 3-meter ribbon, they find that 185 centimeters remain.
Common Misconceptions
- Students may multiply by 100 when changing centimeters to meters, turning 5 centimeters into 500 meters. They may add 2 meters and 30 centimeters as 32 without converting first.
How to Assess It
- Ask: A 2-meter ribbon has 75 centimeters cut off, then 40 centimeters cut off. How many centimeters remain? Show your conversion and both subtraction steps.
Lesson moves
Ways to Teach It
Give pairs a meter stick and 1 meter of string; have them cut off 25 centimeters and 30 centimeters, then measure the remainder.
Ask students to explain in writing why 150 centimeters plus 1 meter is not 151 centimeters, then find the correct total.
Give pairs cards marked 2 yards, 72 inches, 6 feet, and 1 yard; match equal lengths, then add 2 yards and 1 yard in inches.
Give students a 2-yard fabric order and a 30-inch scrap; ask whether they have enough for a 90-inch banner.
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Related Standards
- 4.GR.A.1
Apply the relationship between measurement units within a given measurement system (customary: in, ft, yd, oz, lb, sec, min, hr; metric: cm, m, km, g, kg, mL, L...
- 3.GR.A.4
Add, subtract, multiply, or divide to solve one-step problems in measurement contexts involving masses or volumes that are given in the same units.
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