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Pattern A illustrates the progression of a geometric design with increasing square units.

Pattern A shows three stages of a growing square design, each adding more squares to form a larger cross shape.

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Show Answer Key & Explanations Step-by-step solution for: Illustrative Mathematics

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- Pattern A grows by adding a layer of squares around the previous shape.
- Shape 1 has 5 squares: 1 center + 4 arms.
- Shape 2 has 9 squares: 5 from Shape 1 + 4 new squares (one on each side of the center square’s outer edges).
- Shape 3 has 13 squares: 9 from Shape 2 + 4 new squares (extending each arm outward).
- Each new shape adds exactly 4 squares.
- The number of squares in Shape n is given by the formula: 4n + 1.
- For Shape 10: 4 × 10 + 1 = 41 squares.

Parent Tip: Review the logic above to help your child master the concept of visual patterns worksheet.

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