The task involves identifying the next term in each growing pattern. Let's analyze each pattern step by step:
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a)
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Pattern:
- First term: 1 circle
- Second term: 2 circles
- Third term: 3 circles
- Fourth term: 4 circles
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Observation: The number of circles increases by 1 in each subsequent term.
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Next term: 5 circles
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b)
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Pattern:
- First term: 1 diamond shape
- Second term: 3 diamond shapes
- Third term: 5 diamond shapes
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Observation: The number of diamond shapes increases by 2 in each subsequent term.
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Next term: 7 diamond shapes
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c)
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Pattern:
- First term: 1 square
- Second term: 4 squares (2x2 grid)
- Third term: 9 squares (3x3 grid)
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Observation: The number of squares forms a perfect square sequence: \(1^2, 2^2, 3^2\).
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Next term: \(4^2 = 16\) squares (4x4 grid)
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d)
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Pattern:
- First term: 1 cone
- Second term: 2 cones stacked
- Third term: 3 cones stacked
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Observation: The number of cones increases by 1 in each subsequent term.
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Next term: 4 cones stacked
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e)
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Pattern:
- First term: 1 rectangle and 1 triangle
- Second term: 2 rectangles and 2 triangles
- Third term: 3 rectangles and 3 triangles
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Observation: The number of both rectangles and triangles increases by 1 in each subsequent term.
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Next term: 4 rectangles and 4 triangles
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f)
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Pattern:
- First term: 5 dots in a row
- Second term: 10 dots arranged in a 2x5 grid
- Third term: 15 dots arranged in a 3x5 grid
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Observation: The number of dots increases by 5 in each subsequent term, and they are arranged in an increasing number of rows (1 row, 2 rows, 3 rows).
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Next term: 20 dots arranged in a 4x5 grid
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g)
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Pattern:
- First term: 1 finger raised
- Second term: 2 fingers raised
- Third term: 3 fingers raised
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Observation: The number of fingers raised increases by 1 in each subsequent term.
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Next term: 4 fingers raised
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Final Answers:
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a) 5 circles
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b) 7 diamond shapes
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c) 16 squares (4x4 grid)
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d) 4 cones stacked
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e) 4 rectangles and 4 triangles
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f) 20 dots arranged in a 4x5 grid
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g) 4 fingers raised
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Boxed Final Answer:
\[
\boxed{
\text{a) 5 circles, b) 7 diamond shapes, c) 16 squares, d) 4 cones, e) 4 rectangles and 4 triangles, f) 20 dots, g) 4 fingers}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3rd grade pattern worksheet.
