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Triangles and Square Counting
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Triangles and Square Counting
Help Mele and Zoe prepare decorations for a Matariki celebration. Read each task carefully. Count complete squares, including larger squares made from smaller ones.
Triangle shapes
Explore the triangles on the celebration banner.
1.Mele needs a triangle with all three sides the same length. What type of triangle should she choose?
- Equilateral
- Isosceles
- Scalene
2.Zoe measures a triangle’s sides as 4 cm, 4 cm and 7 cm. Classify it by its side lengths.
3.Ana spots a triangle with one angle measuring 90°. What is this triangle called?
4.True or false: The three interior angles of every triangle add up to 180°.
TrueFalse
Square-counting puzzle
Count the small squares and any larger squares formed by combining them.
5.Count all the squares in the 2 by 2 tile, including the large square made from four small ones.
6.How many squares of all sizes are in the 3 by 3 tile?
7.The stepped tile design consists of a bottom row of three unit squares, a middle row of two unit squares directly above the left two bottom squares, and a top row of one unit square directly above the leftmost middle square. Can any of its unit squares join to make a larger complete square? Give the total number of squares of all sizes.
8.A rectangular panel is 4 unit squares long and 2 unit squares wide. How many unit squares cover it? Show how you worked it out.
9.Draw a connected pattern using exactly 6 equal squares. Then write one sentence describing how the squares touch.
2 printable pages
Page 1
Page 2
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