Virginia SOL 5.MG.1.c.i
The Standard
length (millimeters, centimeters, meters, and kilometers)
Virginia Standards of Learning for Mathematics · The student will reason mathematically to solve problems, including those in context, that involve length, mass, and liquid volume using metric units.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students convert lengths among millimeters, centimeters, meters, and kilometers using a provided unit relationship. They solve contextual problems and include the correct unit in each answer.
What Mastery Looks Like
- Students choose multiplication or division based on the size of the units. They calculate accurately, label the answer, and check that the size of the result makes sense.
Common Misconceptions
- Students may multiply when they should divide, especially when changing from a smaller unit to a larger unit. They may confuse centimeters with millimeters or move the decimal the wrong number of places.
How to Assess It
- Exit ticket: A ribbon is 350 centimeters long. Given 100 centimeters equals 1 meter, find its length in meters and explain your operation.
Lesson moves
Ways to Teach It
Give pairs a meter strip, ruler, and yarn; students measure each yarn piece and record its length in millimeters, centimeters, and meters.
Ask students to explain why 2.5 kilometers equals 2,500 meters, but 2,500 meters equals 2.5 kilometers.
Play a conversion card relay where teams match contextual measurement cards with equivalent lengths in millimeters, centimeters, meters, or kilometers.
Use a local map to estimate routes in kilometers, then convert each route to meters using a provided unit equivalence.
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