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Patterns and Data Worksheet

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Patterns and Data Worksheet worksheet preview

Patterns and Data Worksheet

Mathematical patterns and data collection illustration

📊 Part 1: Data Collection and Display

1. Choose an investigative question to ask your classmates. Circle one or write your own:

What is your favourite colour? (He aha tō tino pai rawa o te kara?)

What pet do you have? (He kararehe kāinga tō?)

What sport do you like? (He hākari tō?)

My own question: _________________________________

2. Collect data from 10 classmates using tally marks:

My question: _________________________________


Option 1: _________________ Tally marks: _______________

Option 2: _________________ Tally marks: _______________

Option 3: _________________ Tally marks: _______________

Option 4: _________________ Tally marks: _______________

3. Create a simple bar graph of your data in the space below. Remember to include labels!
4. What did you discover from your data? Write one sentence in English and try one in te reo Māori:

🔢 Part 2: Number Patterns

5. Look at this number pattern: 3, 6, 9, 12, 15, _____, _____

a) Fill in the next two numbers: _____, _____

b) What is the pattern rule? The pattern increases by _____ each time.

c) In te reo Māori: Ko tēnei tauira ka piki mā _____ ia wā.

6. Complete this pattern table (tēpu tauira):

Pattern: 5, 10, 15, 20, 25...


Position (Tūnga) Term (Tūtohu)
1 5
2 10
3 _____
4 _____
5 _____
7. Create your own growing pattern using the numbers 4, 8, 12...

Continue the pattern: 4, 8, 12, _____, _____, _____

Write the pattern rule: _________________________________

🔄 Part 3: Algorithmic Thinking

8. Write step-by-step instructions (algorithm) for someone to create the pattern 2, 4, 6, 8, 10...

Step 1:

Step 2:

Step 3:

Step 4:

9. Using te reo Māori verbs, write instructions for making a simple repeating colour pattern (red, blue, red, blue...):

Helpful words: kōwhiri (choose), whakatakoto (place), whakakore (repeat)

10. Challenge: If the pattern 7, 14, 21, 28... continues, what would be the 10th term?

Show your working:



Answer: The 10th term is _____

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