Connect Degrees with Fractions of a Full Turn
Use the supplied full-turn fraction or subdivision.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: One eighth of a full turn is 360÷8=45°.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A full turn has 360 degrees. A half turn is 180 and a quarter turn is 90. Angle measure counts turn about a shared endpoint, not the length of the rays. Extending a ray leaves its angle with the other ray unchanged.
Use the supplied full-turn fraction or subdivision. Divide 360 by the equal number of turn parts and multiply by the requested parts when needed. Check known benchmarks such as a half or quarter turn.
Use 360° as the full-turn benchmark. Angle size measures turning, not the drawn ray lengths. Draw one center and equally divided turn directions around it.
- Draw one center and equally divided turn directions around it.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied full-turn fraction or subdivision.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
One eighth of a full turn is 360÷8=45°. Two such eighth-turns make 90°, a quarter turn. Making the drawn rays longer does not change forty-five degrees, because the direction difference remains the same. Use 360° as the full-turn benchmark. Angle size measures turning, not the drawn ray lengths. Draw one center and equally divided turn directions around it.
Check your reasoning
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Helpful tips
- Use 360° as the full-turn benchmark.
- Angle size measures turning, not the drawn ray lengths.
See the answer and explanation
180
Divide the full 360-degree turn into equal parts. The result is 180.
Take it further
One sixth of a turn is 60°; three sixths make 180°.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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