M3.5.1 For the adult

Angles on a line and round a point

Two sticks cross on the ground. One angle is 40°. Can I find the other three without measuring?

What this chapter teaches

Angles that fill a straight line add to 180°, and angles that fill a full turn add to 360°. Where two straight lines cross, opposite angles are equal.

Three questions to ask

There is no one right wording. Listen for the idea.

  1. Two angles fill a straight line and one is 75°. What is the other, and how do you know?
  2. Where two straight lines cross, one angle is 40°. What are the other three?
  3. Why do angles round a point add to 360° and not 180°?

After the chapter, the learner can

  • Find a missing angle on a straight line
  • Find a missing angle round a point
  • Find the opposite angles where two straight lines cross

What they copy into their notebook

Angles on a straight line add to 180°. Angles round a point add to 360°. Where two straight lines cross, opposite angles are equal.

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