4.MD.7

Standard

Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

Explanation

About the Math, Learning Targets, & Rigor

This standard addresses the idea of decomposing (breaking apart) an angle into smaller parts.

If the two rays are perpendicular, what is the value of m?

Resources

Videos

Khan Academy (scroll to find 4.MD.7 - click on a skill)
Learn Zillion

EngageNY Lessons

Extra Practice

North Carolina Tasks
Illustrative Math Tasks
Howard County Tasks
- Click on 4th grade at bottom, then 4.MD.7
Common Core Sheets

Released Assessment Questions

PARCC

4.MD.7

Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

STUDENT SAMPLE RESPONSE

Performance Indicators: 4.MD.7

Level 5: Exceeds Expectations

Recognizes how angles are formed and that angle measures are additive.
Understands and applies concepts of angle measurement recognizing that angles are measured in reference to a circle.
Uses a protractor to measure and sketch angles.
Solves mathematical and realworld problems by composing and decomposing angles.
Solves mathematical and realworld angle problems, including problems that require the use of equations with a symbol for the unknown angle measure.

Level 4: Meets Expectations

Understands and applies concepts of angle measurement.
Uses a protractor to measure and sketch angles.
Solves mathematical and real-world problems by composing and decomposing angles.

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