Page 174 - NUMINO TG_6A

11Three Apples, Five Oranges Unit

CMath Vo abulary equivalent ratio: ratios that express the same comparison

2 . Write three equivalent ratios. 2. Have students write three equivalent ratios
for each ratio. Students can create these ratios
a. 9 b. 8 c. 2 to 3 by multiplying or dividing the numerator and
15 40 denominator by the same number.
4 to 6, 6 to 9, 8 to 12
3 6 12 4 21
5 , 10 , 20 20 , 10 , 5

d. 14 to 6 e. 3 7 f. 24 48 The students can check their work by

7 to 3, 21 to 9, 28 to 12 6 14, 9 21, 12 28 1 2, 4 8, 48 96 attempting to reduce each term to its

simplified expression.

9 3 , 6 3 , 18 9
15 5 10 5 28 14

3 . Solve the problems using the figure below. 3. Have students answer the questions about
the figure. Ask students the following questions
a. Write the ratio of colored triangles to the total number of triangles as a about the figure.
fraction. Then write three equivalent ratios. How many shaded triangles are there? 6.
How many unshaded triangles are there? 12.
What is the total number of triangles? 12.

6 ; 3 1 12
12 6, 2, 24

b. Write the ratio of the total number of triangles to colored triangles as a
fraction. Then write three equivalent ratios.

12 ; 6 2 24
6 3, 1, 12

11. Three Apples, Five Oranges 95

Using Prime Factorization Trees to Create Equivalent Ratios:

Example: Create equivalent ratios for 12 .
20

Step1: Create prime factorization trees for 12 and 20.

12 20

26 2 10

23 25
2 2 3 = 12 2 2 5 = 20

Step 2: Remove the same term or add the same term to each set of primes and repeat to find more equivalent

rations. 2 3 = 6, 2 5 =10. So an equivalent ratio is 6 .
10
6A Unit 11 157