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Growing Patterns: Two Variables

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Growing Patterns: Two Variables worksheet preview

Growing Patterns: Two Variables

Task 1: Tile Pattern

Look at the pattern: Term 1 has 3 tiles, Term 2 has 5 tiles and Term 3 has 7 tiles.

🟦 Term number tells which term it is. 🟩 Number of tiles tells how many tiles there are.

1. Complete the pattern table.

🟦 Term number:   1    2    3    4    5

🟩 Number of tiles:   3    5    7    ______    ______

2. Draw or describe Term 4 and Term 5. What is added each time?

Task 2: Stick Pattern

A pattern has 4 sticks in Term 1, 7 sticks in Term 2 and 10 sticks in Term 3.

3. Find Term 4 and Term 5.

🟦 Term number:   1    2    3    4    5

🟩 Number of sticks:   4    7    10    ______    ______

4. Explain the equal growth. What is added from one term to the next?

Independent Task: Counter Pattern

A pattern has 6 counters in Term 1, 9 counters in Term 2 and 12 counters in Term 3.

5. Find Terms 4 and 5, then complete the table.

🟦 Term number:   1    2    3    4    5

🟩 Number of counters:   6    9    12    ______    ______

6. Draw or describe Term 4 and Term 5.
7. Write the growth rule in words.

Each term, I add ______ counters.

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