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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