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Visual Pattern Rules Exploration
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Visual Pattern Rules Exploration
Study each pattern and look for how it changes from one step to the next. Show your thinking where useful. For questions asking you to create or describe your own ideas, there is no single correct response.
Spotting Pattern Rules
1.The sequence 6, 10, 14, 18, 22 grows by the same amount each time. Which rule describes it?
- Add 4 each time
- Multiply by 4 each time
- Subtract 4 each time
- Add 6 each time
2.A tile design has 2 tiles in Step 1, 5 tiles in Step 2, 8 tiles in Step 3 and 11 tiles in Step 4. How many tiles will Step 5 have?
- 12
- 13
- 14
- 15
3.Which sequences change by the same amount each time? Select all that apply.
- 4, 8, 12, 16
- 21, 18, 15, 12
- 2, 5, 9, 14
- 3, 7, 6, 11
4.A pattern has 4 counters in Step 1, 8 in Step 2 and 12 in Step 3. If it continues in the same way, how many counters are in Step 6?
Build and Describe Patterns
5.Complete this growing pattern by adding 6 at each step: 7, , , , .
6.A pattern begins with 5 beads in Step 1 and gains 3 beads at every new step. Explain the rule in your own words.
7.A counter pattern has 2 counters in Step 1, 4 counters in Step 2 and 6 counters in Step 3. Describe how the number of counters changes from one step to the next.
8.A counter pattern has 2 counters in Step 1, 4 counters in Step 2 and 6 counters in Step 3. The counters are arranged in one horizontal row. Draw Step 4, continuing the pattern.
Patterns Around Us
9.A set of paving designs uses 3 square pavers in the first row, 6 in the second row and 9 in the third row. How many pavers will be in the eighth row if the rule continues?
10.Give one example of a repeating or growing pattern you might notice in nature, art or at home. Describe its rule.
11.Explain one way that recognising a pattern rule could help someone in everyday life.
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