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GRADE 7 MATHEMATICS (7.1) Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: (C) represent squares and square roots using geometric models.

Problem #1: Represent

36 using a geometric model. Explain your model.

Problem #2: What square root and square is represented by the model below?

1. What mathematical concepts and vocabulary do I need to know to be able to work these problems?

2. Will the Grade 7 Mathematics Formula Chart be helpful on these problems? Why or why not?

3. Will a picture or diagram be helpful on these problems? If so, how?

4. What problem-solving strategy or strategies will I use to help solve these problems?

5. Extension (7.9A): Find the area of a square with a side length of 6 units.

TEKSING TOWARD TAKS Š 2006

Page 1


GRADE 7 MATHEMATICS (7.1) Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: (C) represent squares and square roots using geometric models.

Problem #1: Represent Explain your model.

36 using a geometric model.

Problem #2: What square root and square is represented by the model below?

TEKSING TOWARD TAKS Š 2006

Page 2


GRADE 7 MATHEMATICS (7.1) Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: (C) represent squares and square roots using geometric models.

The model below using small squares creates a large square that represent 9 = 3.

The model below using dots creates a large square array that 2 represents 4 = 16.

Which arrangement of small squares can be used to model a large square that represents 81 ?

Which arrangement of dots can be used to model a large square that represents 72 ?

A

1 row of 81 squares

A

1 row of 49 dots

B

3 rows of 27 squares

B

2 rows of 7 dots

C

9 rows of 9 squares

C

7 rows of 2 dots

D

81 rows of 81 squares

D

7 rows of 7 dots

An arrangement of 8 rows of 8 small squares will create a large square that will model which of the following? A

8

B

16

C

49

D

64

Mary wants to model 102 using dots. She has begun her model as shown below.

What does Mary need to add to her model so that it correctly 2 models 10 ? An arrangement of 8 rows of 8 small squares will create a large square that will model which of the following? A

42

B

82

A

1 row of 10 dots

B

5 rows of 5 dots

C

10 rows of 5 dots

D

5 rows of 10 dots

2

C

16

D

64

2

TEKSING TOWARD TAKS Š 2006

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05-7.1C