🏛️ Part 1: Understanding Kingitanga Patterns

1. Look at the tukutuku pattern sequence below. Circle the correct next shape in the pattern:

Pattern: Triangle, Square, Triangle, Square, Triangle, ______

Triangle

Square

Circle

Diamond

2. A tukutuku pattern starts with 2 triangles, then 4 triangles, then 6 triangles. How many triangles will be in the 5th step?

3. Which of these statements about patterns are true? (Check all that apply)

Patterns help us predict what comes next

Tukutuku patterns have no mathematical meaning

Patterns can be described using rules

Māori used geometric patterns in their traditional art

📊 Part 2: Pattern Tables and Rules

4. Complete this pattern table for a growing tukutuku design:

Rule: The number of diamonds increases by 3 each step

Step Number	Number of Diamonds
1	5
2	8
3	_____
4	_____
5	_____

5. Write an algebraic expression for the pattern above. Use 'n' for the step number and 'd' for the number of diamonds:

d = _______________

6. Show your working to find how many diamonds would be in step 10:

🎨 Part 3: Creating Your Own Tukutuku Pattern

7. Design your own tukutuku-inspired pattern in the grid below. Your pattern should grow by adding the same number of shapes each step:

8. Describe the rule for your pattern:

9. Create a table for the first 4 steps of your pattern:

Step Number	Number of Shapes
1
2
3
4

🔍 Part 4: Pattern Analysis and Cultural Connections

10. Match each mathematical term with its correct meaning:

1. Sequence

2. Variable

3. Pattern rule

4. Algebraic expression

A. A letter that represents a number

B. An ordered list of numbers or shapes

C. Mathematical statement using variables

D. Instructions for continuing a pattern

11. Fill in the blanks about the Kingitanga movement and patterns:

The _____________ movement was important for Māori unity. Traditional meeting houses often feature _____________ patterns, which are geometric designs that follow mathematical _____________. These patterns can be described using _____________ expressions.

12. Explain why understanding patterns might have been important to Māori craftspeople creating tukutuku panels:

13. A tukutuku pattern follows the rule: "Start with 1 triangle, then add 4 triangles each step." Write this as an algebraic expression where t = number of triangles and n = step number:

t = _______________

14. Using your expression from question 13, how many triangles would be needed for step 8?