Page 193 - NUMINO TG_6A
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Workbook Increasing at the Same Rate
103-B1-1 103-B1-2
Ratio and Proportion
1. Determine whether the ratios form a proportion. 2. Determine whether the ratios form a proportion.
Example Example
23
Find a common denominator to write equivalent fractions. 46 a. 6 8
9 12
2 1
4 and 2
a. 8 and 14 b. 4 and 6 b. 8 3 c. 5 6
12 21 6 9 6 2 16 20
c. 8 and 12 c. 5 and 5 20 30 7 15
12 18 6 12 12 18 4 8
d. e.
Objective Learn how to use common Objective Learn how to use cross product
to see whether or not two ratios
denominator to see whether or expressed in fractions are
not two ratios expressed in proportional to each other.
fractions are proportional to each
other. Textbook Reference Lead-In
Textbook Reference Lead-In
103-B2-1 103-B2-2
Use Proportions to Solve 2. Use proportions to find a.
1. Use proportions to find a. Example
a 1.5
Example 5 24 6
a 7
21
a. 2 a b. 8 a a. 1.2 a b. 2.5 a
3 12 18 9 3 15 3.5 14
c. 20 30 d. 28 21 c. 9 24 d. 1.5 2
8 a 44 a 1.5 a 4.5 a
e. a 6 f. 10 15 3.4 17 a 28
18 12 a 33 a 14 0.2 8
e. f.
Objective Learn how to find the value of a Objective Learn how to find the value of a
using proportion. using proportion.
Textbook Reference Activity 1 Textbook Reference Activity 1
176 NUMINO Teacher s Guide
103-B1-1 103-B1-2
Ratio and Proportion
1. Determine whether the ratios form a proportion. 2. Determine whether the ratios form a proportion.
Example Example
23
Find a common denominator to write equivalent fractions. 46 a. 6 8
9 12
2 1
4 and 2
a. 8 and 14 b. 4 and 6 b. 8 3 c. 5 6
12 21 6 9 6 2 16 20
c. 8 and 12 c. 5 and 5 20 30 7 15
12 18 6 12 12 18 4 8
d. e.
Objective Learn how to use common Objective Learn how to use cross product
to see whether or not two ratios
denominator to see whether or expressed in fractions are
not two ratios expressed in proportional to each other.
fractions are proportional to each
other. Textbook Reference Lead-In
Textbook Reference Lead-In
103-B2-1 103-B2-2
Use Proportions to Solve 2. Use proportions to find a.
1. Use proportions to find a. Example
a 1.5
Example 5 24 6
a 7
21
a. 2 a b. 8 a a. 1.2 a b. 2.5 a
3 12 18 9 3 15 3.5 14
c. 20 30 d. 28 21 c. 9 24 d. 1.5 2
8 a 44 a 1.5 a 4.5 a
e. a 6 f. 10 15 3.4 17 a 28
18 12 a 33 a 14 0.2 8
e. f.
Objective Learn how to find the value of a Objective Learn how to find the value of a
using proportion. using proportion.
Textbook Reference Activity 1 Textbook Reference Activity 1
176 NUMINO Teacher s Guide