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Learning Goal

Part of: Geometric measurement: understand concepts of angle and measure angles3 of 3 cluster items

Recognize angle measure as additive

4.MD.C.7

**4.MD.C.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.

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4.MD.C.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.

What you'll learn

  1. Explain that when an angle is decomposed into non-overlapping parts, the angle measure of the whole equals the sum of the angle measures of the parts
  2. Decompose a given angle into two or more non-overlapping smaller angles and write an addition equation relating the part measures to the whole measure
  3. Write and solve addition and subtraction equations with a symbol for an unknown angle measure, using a diagram as the source of information
  4. Apply the additive property of angle measure to find unknown angles in real-world and mathematical contexts, including angles on a straight line (180°) and angles around a point (360°)
  5. Verify solutions by checking that the computed part measures sum to the known whole measure

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