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Angle puzzles and slices: 7th grade math

Draw triangles from conditions; cross-sections; angle relationships. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: draw triangles from conditions; cross-sections; angle relationships.

Teach (10 min)

  • Angles on a straight line add to 180°, a right angle is 90°, a triangle's three angles add to 180°.
  • Angles across from each other where lines cross are equal. All the way around a point is 360°.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/shapes.angles?lesson=7-shapes-angles-1&at=7

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. A triangle has two equal sides. The angle between those two sides measures 116°. What does each of the other two angles measure?
  • 2. Angles measuring 50°, 110° fit together around one point with nothing left over, along with one more angle. What does the missing angle measure?
  • 3. A triangle has two equal sides. The angle between those two sides measures 56°. What does each of the other two angles measure?

Question set

3 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. A triangle has two equal sides. The angle between those two sides measures 116°. What does each of the other two angles measure?
  2. Angles measuring 50°, 110° fit together around one point with nothing left over, along with one more angle. What does the missing angle measure?
  3. A triangle has two equal sides. The angle between those two sides measures 56°. What does each of the other two angles measure?
Answers
  1. 32°
  2. 200°
  3. 62°

Printable sheet

Name: ____________________   Date: ____________

Angle puzzles and slices (7th grade)

  1. Two angles sit next to each other on a straight line. One measures 20°. What does the other measure?
    20°?
  2. Two angles together make a right angle. One measures 10°. What does the other measure?
    10°?
  3. Two angles sit next to each other on a straight line. One measures 170°. What does the other measure?
    170°?
  4. Two angles sit next to each other on a straight line. One measures 80°. What does the other measure?
    80°?
  5. Two angles sit next to each other on a straight line. One measures 100°. What does the other measure?
    100°?
  6. Two angles sit next to each other on a straight line. One measures 135°. What does the other measure?
    135°?
  7. Two straight lines cross. One of the angles measures 20°. What does the angle directly across from it measure?
    20°?
  8. Two straight lines cross. One of the angles measures 125°. What does an angle right next to it measure?
    125°?
  9. Two angles of a triangle measure 47° and 36°. What does the third angle measure?
  10. Two straight lines cross. One of the angles measures 116°. What does an angle right next to it measure?
    116°?
  11. Two angles together make a right angle. One measures 85°. What does the other measure?
    85°?
  12. A triangle has two equal sides. Each of the two angles at the bottom of the equal sides measures 58°. What does the angle between the equal sides measure?
Key
  1. 160°
  2. 80°
  3. 10°
  4. 100°
  5. 80°
  6. 45°
  7. 20°
  8. 55°
  9. 97°
  10. 64°
  11. 5°
  12. 64°

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.