Let’s solve each pattern step by step.
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Problem 1:
Look at the top part (the given pattern):
Row 1: 1 blue hexagon, 1 green square, 1 blue hexagon → total shapes: 3
Row 2: 1 blue hexagon, 2 green squares, 1 blue hexagon → total shapes: 4
Row 3: 1 blue hexagon, 3 green squares, 1 blue hexagon → total shapes: 5
We can see a clear pattern:
- Each row starts and ends with a blue hexagon.
- The number of green squares increases by 1 each row: 1, then 2, then 3.
- So the next row (row 4) should have: 1 blue hexagon, 4 green squares, 1 blue hexagon → total 6 shapes.
Now look at the options below:
Option 1: 1 blue hexagon, 3 green squares, 1 blue hexagon → only 5 shapes → too few
Option 2: 1 blue hexagon, 4 green squares, 1 blue hexagon → 6 shapes → matches!
Option 3: 1 blue hexagon, 5 green squares, 1 blue hexagon → 7 shapes → too many
✔ So Option 2 is correct for Problem 1.
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Problem 2:
Given pattern:
Row 1: 1 yellow triangle, 1 red pentagon → 2 shapes
Row 2: 1 yellow triangle, 2 red pentagons → 3 shapes
Row 3: 1 yellow triangle, 3 red pentagons → 4 shapes
Pattern:
- Each row starts with 1 yellow triangle.
- Number of red pentagons increases by 1 each row: 1, 2, 3.
- So next row (row 4) should be: 1 yellow triangle, 4 red pentagons → total 5 shapes.
Check the options:
Option 1: 1 yellow triangle, 4 red pentagons → 5 shapes → matches!
Option 2: 1 yellow triangle, 5 red pentagons → 6 shapes → too many
Option 3: 1 yellow triangle, 6 red pentagons → 7 shapes → way too many
✔ So Option 1 is correct for Problem 2.
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Final Answer:
For problem 1, tick the second option.
For problem 2, tick the first option.
Parent Tip: Review the logic above to help your child master the concept of growing patterns worksheet.