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3.04 Patterns with perfect squares

Adaptive
Worksheet

Interactive practice questions

Use the applet to determine if the number $12$12 is a perfect square.

An applet allowing students to simulate an array using interactive sliders to demonstrate multiplication. A blue vertical slider to the left controls the number of rows of the array. A red horizontal slider below controls the number of columns of the array. Both sliders enable modification of the array dimensions within the range of $1$1 to $12$12 at increments of $1$1. The number of orange tiles in the array represents the product. Above the array is the equation showing the number of rows times number of columns equal to the product.

Is the number $12$12 a perfect square?

Yes, because $12$12 tiles can be arranged as a square.

A

No, because $12$12 tiles cannot be arranged as a square.

B
Easy
< 1 min

Use the applet to determine if the number $8$8 is a perfect square.

Easy
< 1 min

Use the applet to determine if the number $4$4 is a perfect square.

Easy
< 1 min

Use the applet to determine if the number $49$49 is a perfect square.

Easy
< 1 min
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Outcomes

6.NS.3

The student will recognize and represent patterns with whole number exponents and perfect squares.

6.NS.3b

Recognize and represent patterns of perfect squares not to exceed 20^(2), by using concrete and pictorial models.

6.NS.3c

Justify if a number between 0 and 400 is a perfect square through modeling or mathematical reasoning.

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