Page 67 - NUMINO TG_6A
P. 67
Activity 1 Operations with Fractions
jOb ective Use the order of operations with fractions.
1. Textbook Instructions Activity 1 Operations with Fractions
Students will use the order of operations to When dealing with mixed numbers, students should first rename them as improper fractions before performing the
solve problems that contain the addition,
subtraction, multiplication, and division of 1 operations to avoid mistakes. The order of operations for fractions follows the same rules as for whole numbers.
fractions.
. The following problems show the operations of three numbers.
1. Have the students use the order of
operations to evaluate expressions with and Fill in the blanks.
without parentheses.
a. b.
2 1 1 1 = 2 1 5 2 2 · 4 1 ‚ = 2 2 8 5
3 4 5 3 4 5 5 2 5
6 · 10 10 ‚
= 2 5 12 13
3 24
=5 10
7 = 3 3
8 25
=
2. Have the students mark the order below each Students may use more steps than shown above. Tell them to use as many steps as they need in order
to make sure they do not make simple mistakes.
2 . Evaluate each expression. Show your work.
problem like shown below, and then solve. a. 3 1 3 3 1 b. 2 1 1 2
5 5 2 5 4 7
2a. 3 1 3 3 1 2b. 2 1 1 2
5 5 2 5 4 7 = 16 3 7 = 2 52
5 5 2 5 47
= 16 21 = 32 21 = 1 2 = 7 4
5 10 10 10 2 7 14 14
= 1 1 = 3
10 14
4 1 2 1 1 1
2c. ( 5 3 ) 5 2d. (2 2 5 ) 10
c. · 4 1 ‚ 2 d. ·2 1 1 ‚ 1
5 3 5 2 5 10
= · 12 5 ‚ 2 = · 25 2 ‚ 1
15 15 5 10 10 10
= 7 5 = 27 10
15 2 10
= 1 1 = 27
6
30
2. Build Understanding
Have the students review the addition, subtraction, multiplication, and division of fractions.
Adding fractions: 3 3 1 1 Subtracting fractions: 3 3 2 2
4 2 4 3
Find the least common denominator. The LCD is 4. Find the least common denominator. The LCD is 12.
Write equivalent fractions. Then, add. Write equivalent fractions. Then, subtract.
3 3 3 3 1 3 3 3 3 3 3 3 3 9
4 4 1 4 4 4 3 12
1 1 1 1 2 1 2 2 2 2 2 4 2 8
2 2 2 4 3 3 4 12
4 5 1 1
4 12
050 NUMINO Teacher s Guide
jOb ective Use the order of operations with fractions.
1. Textbook Instructions Activity 1 Operations with Fractions
Students will use the order of operations to When dealing with mixed numbers, students should first rename them as improper fractions before performing the
solve problems that contain the addition,
subtraction, multiplication, and division of 1 operations to avoid mistakes. The order of operations for fractions follows the same rules as for whole numbers.
fractions.
. The following problems show the operations of three numbers.
1. Have the students use the order of
operations to evaluate expressions with and Fill in the blanks.
without parentheses.
a. b.
2 1 1 1 = 2 1 5 2 2 · 4 1 ‚ = 2 2 8 5
3 4 5 3 4 5 5 2 5
6 · 10 10 ‚
= 2 5 12 13
3 24
=5 10
7 = 3 3
8 25
=
2. Have the students mark the order below each Students may use more steps than shown above. Tell them to use as many steps as they need in order
to make sure they do not make simple mistakes.
2 . Evaluate each expression. Show your work.
problem like shown below, and then solve. a. 3 1 3 3 1 b. 2 1 1 2
5 5 2 5 4 7
2a. 3 1 3 3 1 2b. 2 1 1 2
5 5 2 5 4 7 = 16 3 7 = 2 52
5 5 2 5 47
= 16 21 = 32 21 = 1 2 = 7 4
5 10 10 10 2 7 14 14
= 1 1 = 3
10 14
4 1 2 1 1 1
2c. ( 5 3 ) 5 2d. (2 2 5 ) 10
c. · 4 1 ‚ 2 d. ·2 1 1 ‚ 1
5 3 5 2 5 10
= · 12 5 ‚ 2 = · 25 2 ‚ 1
15 15 5 10 10 10
= 7 5 = 27 10
15 2 10
= 1 1 = 27
6
30
2. Build Understanding
Have the students review the addition, subtraction, multiplication, and division of fractions.
Adding fractions: 3 3 1 1 Subtracting fractions: 3 3 2 2
4 2 4 3
Find the least common denominator. The LCD is 4. Find the least common denominator. The LCD is 12.
Write equivalent fractions. Then, add. Write equivalent fractions. Then, subtract.
3 3 3 3 1 3 3 3 3 3 3 3 3 9
4 4 1 4 4 4 3 12
1 1 1 1 2 1 2 2 2 2 2 4 2 8
2 2 2 4 3 3 4 12
4 5 1 1
4 12
050 NUMINO Teacher s Guide
