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Triangle Side Classification

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Triangle Side Classification

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📚 Part 1: Identify and Classify

Learning Intention: To categorise triangles by their side properties (equilateral, isosceles, scalene).

Success Criteria: I can identify triangle types from side lengths and use vocabulary such as tapatoru (triangle), equilateral (tapatoru ōrite taha), isosceles (tapatoru ōrite rua), scalene (tapatoru kore ōrite).

1. Which type is a triangle with sides 6 cm, 6 cm, 6 cm?

Equilateral

Isosceles

Scalene

2. Which type is a triangle with sides 7 cm, 5 cm, 7 cm?

Equilateral

Isosceles

Scalene

3. Which type is a triangle with sides 4 cm, 6 cm, 5 cm?

Equilateral

Isosceles

Scalene

4. Which type is a triangle with sides 10 cm, 10 cm, 14 cm?

Equilateral

Isosceles

Scalene

5. Tick all sets of side lengths that could form an isosceles triangle (two equal sides):

5 cm, 5 cm, 8 cm

6 cm, 7 cm, 8 cm

9 cm, 9 cm, 2 cm

✏️ Part 2: Hands-on and Short Answers

6. Make an equilateral triangle with string and a ruler. Measure each side and record below. Then classify (include te reo Māori).
7. Make an isosceles triangle with string and a ruler. Measure each side and record below. Then classify (include te reo Māori).
8. Make a scalene triangle with string and a ruler. Measure each side and record below. Then classify (include te reo Māori).
9. In one sentence, explain how an isosceles triangle is different from a scalene triangle.
10. Reflection: Write one thing you learnt today and one question you still have.

✅ Answers

1. Equilateral — all three sides equal (tapatoru ōrite taha).

2. Isosceles — two sides equal (tapatoru ōrite rua).

3. Scalene — all sides different (tapatoru kore ōrite).

4. Isosceles — two sides equal (10 cm, 10 cm, 14 cm).

5. Tick: 5 cm, 5 cm, 8 cm and 9 cm, 9 cm, 2 cm. Do not tick 6 cm, 7 cm, 8 cm (all different).

6–8. Example recordings (answers will vary):

Equilateral example: 6.0 cm, 6.0 cm, 6.0 cm — Equilateral (tapatoru ōrite taha).

Isosceles example: 7.0 cm, 7.0 cm, 4.0 cm — Isosceles (tapatoru ōrite rua).

Scalene example: 5.0 cm, 6.5 cm, 8.0 cm — Scalene (tapatoru kore ōrite).

9. Example sentence: "An isosceles triangle has two equal sides, while a scalene triangle has no equal sides."

10. Example reflection: "I learnt how to measure and check sides. I still wonder how angles relate to types of triangles."

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