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Māori Algebra Patterns

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Māori Algebra Patterns

Read each question carefully. Show your working where asked. The geometric motifs are practice patterns, not traditional designs.

Algebra kupu

Match each algebra word with its meaning.

1.Match each word to the correct meaning: tauira, ture, taurangi, whārite, unknown.

tauira
ture
taurangi
whārite
unknown

B. A number sentence with an equals sign
E. Instructions describing how a pattern changes
D. A sequence that follows a repeated structure
A. A letter used to stand for a number
C. A value that has not been found yet

Patterns and rules

Explore how shapes and numbers follow rules.

2.The motif sequence alternates black diamond, white diamond, black diamond, white diamond. Draw the next two motifs.

3.A sequence of motifs is: triangle, circle, square, triangle, circle, square. What rule describes the sequence?

Add three motifs each time
Repeat the same group of three shapes
Make each shape larger than the last

4.At a kapa haka dance competition, Hana counts the repeated beat pattern by fours, starting at 2: 2, 6, 10, __, __, __. Fill in the next three numbers.

5.Wiremu's group adds 5 poi motifs at each stage. Stage 1 has 4 motifs. Complete the first five stage totals: 4, 9, __, __, __.

Equations in context

Use a letter for an unknown number, then solve.

6.Mei's dance group earns $30 by selling programme booklets for $5 each. If b is the number of booklets sold, write an equation and find b.

7.A group starts with 52 costume ribbons and uses r ribbons. There are 31 left. Which equation represents this?

52 + r = 31
52 − r = 31
r − 52 = 31

8.Solve the equation n + 18 = 43. Show the subtraction you use to find n.

9.A rectangular display platform for the dance competition is 9 metres long and w metres wide. Its perimeter is 26 metres. Write an equation for the perimeter and find w.