This is a worksheet designed to help children practice identifying and extending "growing patterns." A growing pattern is a sequence where each step adds more elements according to a specific rule. The task is to observe the first three rows of each pattern and then draw the next (fourth) row.
I will solve each of the six problems by analyzing the pattern's rule and then describing what the next row should look like.
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Problem 1
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Row 1: 1 heart, 1 star
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Row 2: 1 heart, 2 stars
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Rule: The number of hearts stays constant at 1, while the number of stars increases by 1 in each subsequent row.
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Next Row (Row 4): 1 heart, 4 stars
Problem 2
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Row 1: 2 hearts, 1 star
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Row 2: 2 hearts, 2 stars
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Row 3: 3 hearts, 2 stars
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Rule: This pattern alternates between adding a star and adding a heart. Row 1 to Row 2: add 1 star. Row 2 to Row 3: add 1 heart. Following this, Row 3 to Row 4 should add 1 star.
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Next Row (Row 4): 3 hearts, 3 stars
Problem 3
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Row 1: 1 heart, 1 star
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Row 2: 2 hearts, 2 stars
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Row 3: 3 hearts, 3 stars
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Rule: The number of hearts and stars increases by 1 in each row, and they are always equal.
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Next Row (Row 4): 4 hearts, 4 stars
Problem 4
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Row 1: 3 moons
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Row 2: 3 moons, 1 star
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Row 3: 3 moons, 2 stars
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Rule: The number of moons stays constant at 3, while the number of stars increases by 1 in each row.
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Next Row (Row 4): 3 moons, 3 stars
Problem 5
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Row 1: 2 moons, 2 stars
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Row 2: 2 moons, 3 stars
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Row 3: 2 moons, 4 stars
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Rule: The number of moons stays constant at 2, while the number of stars increases by 1 in each row.
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Next Row (Row 4): 2 moons, 5 stars
Problem 6
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Row 1: 1 moon, 2 stars
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Row 2: 2 moons, 3 stars
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Row 3: 3 moons, 4 stars
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Rule: The number of moons and stars both increase by 1 in each row. The number of stars is always one more than the number of moons.
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Next Row (Row 4): 4 moons, 5 stars
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Final Answer
Here is the solution for each problem:
1.
Row 4: One heart followed by four stars.
2.
Row 4: Three hearts followed by three stars.
3.
Row 4: Four hearts followed by four stars.
4.
Row 4: Three moons followed by three stars.
5.
Row 4: Two moons followed by five stars.
6.
Row 4: Four moons followed by five stars.
Parent Tip: Review the logic above to help your child master the concept of growing patterns worksheet.
