Triangle Area Exploration Worksheet
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Triangle Area Exploration Worksheet
Tāpatoru – Wāhi Tātai | Triangle Area
🎯 WALT (We Are Learning To):
Find and calculate the area / wāhi of triangles using the formula: Area = ½ × base × height and explain our thinking.
✅ Success Criteria — I can:
Identify different types of triangles and their attributes.
Visualise a triangle as half of a rectangle.
Use the formula Area = ½ × base (pōkākā) × height (teitei) to calculate area.
Solve problems and check my answers make sense.
📖 Key Vocabulary / Kuputaka:
Triangle = Tāpatoru | Base = Pōkākā | Height = Teitei | Area = Wāhi | Half = Hāwhā | Multiply = Taurua
💡 Support tip: Ask your teacher to read questions aloud, or use the audio version on the tablet. Work with your mahi partner if you need help!
📐 Part 1: Know Your Triangles / Mōhio ki ngā Tāpatoru
Match each triangle type to its description by writing the correct letter in the box.
✏️ Part 2: Guided Practice / Mahi Tahi
💡 Remember the formula:
Area (Wāhi) = ½ × base (pōkākā) × height (teitei)
Step 1: Write down the base. Step 2: Write down the height. Step 3: Multiply base × height. Step 4: Divide by 2 (or multiply by ½).
A right-angled triangle has a base of 6 cm and a height of 4 cm. What is its area?
Area = _________ cm²
A triangle has a base of 10 cm and a height of 5 cm. What is its area?
Area = _________ cm²
A triangular garden has a base of 8 m and a height of 3 m. What is the area of the garden?
Area = _________ m²
The roof of a wharenui (meeting house) has a triangular section with a base of 12 m and a height of 7 m. Calculate the area.
Area = _________ m²
Draw a right-angled triangle on the grid below with a base of 4 cm and a height of 6 cm. Label the base (pōkākā) and height (teitei), then calculate the area.
Area = _________ cm²
🚀 Part 3: Extension / Tūāhuatanga (Advanced Learners)
Kia kaha! Challenge yourself with these questions.
The shape below is a rectangle that has been split into two triangles. The rectangle is 9 cm wide and 5 cm tall.
(a) What is the area of the whole rectangle? _________ cm²
(b) What is the area of one triangle? _________ cm²
(c) How does this show why we use ½ in the triangle area formula? Explain below:
A trapezium is made up of a rectangle (10 cm × 4 cm) and a triangle on top (base = 10 cm, height = 3 cm).
(a) Area of the rectangle = _________ cm²
(b) Area of the triangle = _________ cm²
(c) Total area of the composite shape = _________ cm²
💬 Reflection / Whakaaro
"He aha te mea hou i ako ai koe i tēnei rā?" (What is one new thing you learned today?)
About This Worksheet
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