Page 49 - NUMINO TG_6A
P. 49
03Unit Mix the Numbers!
jOb ective Learn how to make the sum of the fractions a whole number.
1. Textbook Instructions 03 Mix the Numbers!
Explain to students that each shape represents Each shape stands for a number. Identical shapes represent the same
a number. Have them solve the first two number.
addition problems. Then ask for a volunteer to
explain how he solved the problem. 1 2 3 =1
How did you solve the first problem? The
denominator must be equal to the sum of the 1 2 3 4 5 =3
numerators, so 1 2 3 6.
1 2 3 4 5 6 7 8 9 =5
Have students solve the second addition
problem. Find the numbers that , , and represent.
How did you solve the second problem?
The sum of the numerators must be three = 6 The sum of the numerators must be equal to the value of the denominator
times the denominator, so the correct answer for the fraction to become 1. When you add up all the numerators, the sum
is 5. is 6, which means the denominator of the fractions should be 6.
Next, ask them to solve the last problem on = 5 The sum of the numerators must be 3 times the value of the denominator
their own. If a student needs help, remind him for the fraction to become 3. Since the sum of the numerators is 15, the
of the way he solved the second problem, and denominator should be 5.
have him apply it for this problem.
= 9 The sum of the numerators must be 5 times the value of the denominator
Refer to . for the fraction to become 5. Since the sum of the numerators is 45, the
denominator should be 9.
Have students write their answers into the
equations and double check if they are correct.
18
2. Build Understanding
Explain to students the steps for solving these problems.
Step 1: Add up all of the numerators.
Step 2: Divide the answer from Step 1 by the number on the other side of the equals sign.
Step 3: Replace the shape of the denominator with your answer from Step 2. Solve the equation. Check if
your answer is correct. 15
3
Example: The second addition problem. Since (Step 1) 1 2 3 4 5 15 and (Step 2) 5, therefore,
(Step 3) 1 2 3 4 5 3, so the answer is correct.
5 5 5 5 5
032 NUMINO Teacher s Guide
jOb ective Learn how to make the sum of the fractions a whole number.
1. Textbook Instructions 03 Mix the Numbers!
Explain to students that each shape represents Each shape stands for a number. Identical shapes represent the same
a number. Have them solve the first two number.
addition problems. Then ask for a volunteer to
explain how he solved the problem. 1 2 3 =1
How did you solve the first problem? The
denominator must be equal to the sum of the 1 2 3 4 5 =3
numerators, so 1 2 3 6.
1 2 3 4 5 6 7 8 9 =5
Have students solve the second addition
problem. Find the numbers that , , and represent.
How did you solve the second problem?
The sum of the numerators must be three = 6 The sum of the numerators must be equal to the value of the denominator
times the denominator, so the correct answer for the fraction to become 1. When you add up all the numerators, the sum
is 5. is 6, which means the denominator of the fractions should be 6.
Next, ask them to solve the last problem on = 5 The sum of the numerators must be 3 times the value of the denominator
their own. If a student needs help, remind him for the fraction to become 3. Since the sum of the numerators is 15, the
of the way he solved the second problem, and denominator should be 5.
have him apply it for this problem.
= 9 The sum of the numerators must be 5 times the value of the denominator
Refer to . for the fraction to become 5. Since the sum of the numerators is 45, the
denominator should be 9.
Have students write their answers into the
equations and double check if they are correct.
18
2. Build Understanding
Explain to students the steps for solving these problems.
Step 1: Add up all of the numerators.
Step 2: Divide the answer from Step 1 by the number on the other side of the equals sign.
Step 3: Replace the shape of the denominator with your answer from Step 2. Solve the equation. Check if
your answer is correct. 15
3
Example: The second addition problem. Since (Step 1) 1 2 3 4 5 15 and (Step 2) 5, therefore,
(Step 3) 1 2 3 4 5 3, so the answer is correct.
5 5 5 5 5
032 NUMINO Teacher s Guide
