The Pythagorean theorem: 8th grade math
Pythagorean theorem and converse; distance. A free 8th 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: pythagorean theorem and converse; distance.
Teach (10 min)
- In a right triangle, the legs a and b and the long side c (hypotenuse) fit a² + b² = c².
- 3² + 4² = 25 and 5² = 25. For a missing leg, subtract: c² − a² = b².
- 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/roots.hyp?lesson=8-roots-hyp-1&at=8
Exit ticket (5 min)
- Use the first three questions on the printable sheet as a slip.
Printable sheet
Name: ____________________ Date: ____________
The Pythagorean theorem (8th grade)
- Find the length of the side marked ?. (in km)
- Find the length of the side marked ?. (in yd)
- Find the length of the side marked ?. (in ft)
- Find the length of the side marked ?. (in m)
- Find the length of the side marked ?. (in m)
- Find the length of the side marked ?. (in cm)
- Find the length of the side marked ?. (in cm)
- Find the length of the side marked ?. (in cm)
- Find the length of the side marked ?. (in yd)
- Find the length of the side marked ?. (in cm)
- Find the length of the side marked ?. (in yd)
- Find the length of the side marked ?. (in cm)
Key
- 15
- 17
- 13
- 17
- 10
- 15
- 4
- 8
- 12
- 15
- 17
- 25
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