Page 173 - NUMINO TG_6A
P. 173
Activity 1 Equivalent Ratios
jOb ective Learn about equivalent ratios.
1. Textbook Instructions Activity 1 Equivalent Ratios
Explain to students that equivalent ratios show Finding an equivalent ratio follows the same steps as finding an equivalent fraction.
the same comparison, for example 1 and 2 . Learn about equivalent ratios. Equivalent ratios are ratios whose denominator
2 4 and numerator have been multiplied or divided by the same number.
Equivalent ratios are ratios that show the same comparison.
To find equivalent rations, follow one of the 1 . Find three equivalent ratios using different methods.
two methods:
Method 1: Divide numerator and Method 1 a. 36 36 2 18
Divide the numerator and 48 48 2 24
denominator by the same denominator by a common factor. = =
number. = 36 3 = 12
48 3 16
40 40 2 20
Correct: 10 2 5 72 = 72 2 = 36 = 36 6 = 6
24 2 12 48 6 8
10 2 = 40 4 = 10
24 4 72 4 18
Incorrect: 5
6 40 8 5
= 72 8 = 9
Method 2: Multiply numerator and 20 10 5 18 12 6
36 , 18 , 9 24 , 16 , 8
denominator by the same
number.
Correct: 6 5 30 Method 2 b. 3 = 3 2 = 6
7 5 35 Multiply the numerator and 5 5 2 10
denominator by the same number.
Incorrect: 6 5 30 = 3 3= 9
7 3 21 5 3 15
6 = 6 2 = 12 = 3 4 = 12
7 7 2 14 5 4 20
= 6 3 = 18
7 3 21
1. Have students find three equivalent ratios for = 6 4 = 24
each fraction. Ask them which method they 7 4 28
used.
12 18 24 6 9 12
14 , 21 , 28 10 , 15 , 20
94
2. Build Understanding
Setting up Equivalent Ratios
Have students answer the following question about ratios.
Example: The ratio of boys to girls is 3:5 and there are 15 girls in a classroom. How many boys are there?
Step 1: Set up an equivalent ratio. Boys 3
Girls 5
Step 2: Find the factor that the ratio of girls was multiplied by. 5 15, 3
Step 3: Multiply the factor determined in step 2 by the ratio of boys. 3 3 9
156 NUMINO Teacher s Guide
jOb ective Learn about equivalent ratios.
1. Textbook Instructions Activity 1 Equivalent Ratios
Explain to students that equivalent ratios show Finding an equivalent ratio follows the same steps as finding an equivalent fraction.
the same comparison, for example 1 and 2 . Learn about equivalent ratios. Equivalent ratios are ratios whose denominator
2 4 and numerator have been multiplied or divided by the same number.
Equivalent ratios are ratios that show the same comparison.
To find equivalent rations, follow one of the 1 . Find three equivalent ratios using different methods.
two methods:
Method 1: Divide numerator and Method 1 a. 36 36 2 18
Divide the numerator and 48 48 2 24
denominator by the same denominator by a common factor. = =
number. = 36 3 = 12
48 3 16
40 40 2 20
Correct: 10 2 5 72 = 72 2 = 36 = 36 6 = 6
24 2 12 48 6 8
10 2 = 40 4 = 10
24 4 72 4 18
Incorrect: 5
6 40 8 5
= 72 8 = 9
Method 2: Multiply numerator and 20 10 5 18 12 6
36 , 18 , 9 24 , 16 , 8
denominator by the same
number.
Correct: 6 5 30 Method 2 b. 3 = 3 2 = 6
7 5 35 Multiply the numerator and 5 5 2 10
denominator by the same number.
Incorrect: 6 5 30 = 3 3= 9
7 3 21 5 3 15
6 = 6 2 = 12 = 3 4 = 12
7 7 2 14 5 4 20
= 6 3 = 18
7 3 21
1. Have students find three equivalent ratios for = 6 4 = 24
each fraction. Ask them which method they 7 4 28
used.
12 18 24 6 9 12
14 , 21 , 28 10 , 15 , 20
94
2. Build Understanding
Setting up Equivalent Ratios
Have students answer the following question about ratios.
Example: The ratio of boys to girls is 3:5 and there are 15 girls in a classroom. How many boys are there?
Step 1: Set up an equivalent ratio. Boys 3
Girls 5
Step 2: Find the factor that the ratio of girls was multiplied by. 5 15, 3
Step 3: Multiply the factor determined in step 2 by the ratio of boys. 3 3 9
156 NUMINO Teacher s Guide
