Standard

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, real world problems.

Student Language:

"I can convert measurements within the same measuring system."

Explanation

About the Math, Learning Targets, and Rigor

This standard calls for students to convert measurements within the same system of measurement in the context of multi-step, real-world problems.

Both customary and standard measurement systems are included; students worked with both metric and customary units of length in second grade. In third grade, students work with metric units of mass and liquid volume.

In order for students to have a better understanding of the relationships between units, they need to use measuring tools in class. For example, students have discovered that there are 12 inches in 1 foot and 3 feet in 1 yard. This understanding is needed to convert inches to yards. Using 12-inch rulers and yardsticks, students can see that three of the 12-inch rulers are equivalent to one yardstick (3 × 12 inches = 36 inches; 36 inches = 1 yard). Using this knowledge, students can decide whether to multiply or divide when making conversions.

Resources

Videos

• Khan Academy
  • Scroll to 5.MD.1, click on skill, find videos on left side of each skill
• Learn Zillion
• Virtual Nerd

EngageNY Lessons

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 5th grade at bottom, then 5.MD.1
• Common Core Sheets

Released Assessment Questions

PARCC

Common Core State Standards

5.MD.1-1

Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m).

5.MD.1-2

Solve multi-step, real world problems requiring conversion among different-sized standard measurement units within a given measurement system.

• Multi-step problems must have at least 3 steps.

Performance Indicators: 5.MD.1-1, 5.MD.1-2

Level 5: Exceeds Expectations

Converts among different-sized standard measurement units within a given measurement system and uses these conversions to solve real-world, multi-step problems.

Chooses the appropriate measurement unit based on the given context.

Level 4: Meets Expectations

Converts among different-sized standard measurement units within a given measurement system and uses these conversions to solve real-world, single-step problems