Florida Grade 4 Math · Geometric Reasoning

MA.4.GR.1.2: Measuring and Drawing Angles

What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.4.GR.1.2?

Students estimate angle measures using benchmark angles (30°, 45°, 60°, 90°, and 180°), measure angles in whole degrees with a protractor, and draw angles of a given size.

They also learn that angle measure is additive: when an angle is split into parts that don't overlap, the parts add up to the whole angle.

Official benchmarkEstimate angle measures. Using a protractor, measure angles in whole-number degrees and draw angles of specified measure in whole-number degrees. Demonstrate that angle measure is additive.

On the FAST test: part of the Grade 4 reporting category Geometric Reasoning, Measurement, and Data Analysis and Probability, which is about 31–37% of the test.

Worked Examples

Worked Example 1

Reading a Protractor

One side of an angle lines up with 0° on the inner scale, and the other side passes through 65° on that same scale. What is the angle?
  1. 1Use the scale that starts at 0 on the side of the first ray.
  2. 2Read where the other ray crosses that scale: 65°.
  3. 3Check: the angle looks smaller than a right angle, so 65° makes sense.
Answer: 65°

Worked Example 2

Adding Angles

An angle is made of a 30° angle and a 45° angle that do not overlap. What is the measure of the whole angle?
  1. 1Angle measures add: 30 + 45 = 75
Answer: 75°

Common Mistakes to Watch For

Reading the wrong scale

Wrong:An acute angle is measured as 115°.

Make sure you read the scale that starts at 0 on your first ray. An acute angle is less than 90°, so it is 65°, not 115°.

Not lining up the vertex

Wrong:The vertex of the angle is placed at the end of the protractor's edge.

Put the center point of the protractor exactly on the vertex, and line one ray up with 0°.

Helpful Math Tip

Estimate before measuring: "Is it more or less than a right angle?" If the protractor says 115° but the angle is clearly acute, switch scales.

Related Grade 4 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.