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NS 2.3*1)
Solve simple
problems, including ones arising in concrete
UNDERLYING SKILLS AND CONCEPTS:
situations involving the addition and subtraction of fractions and
mixed numbers (like and unlike denominators of 20 or less), and
express answers in simplest form.
understand numerator and
denominator
relate improper fractions and mixed
numbers
Review Fraction Concepts
Fractions represent parts of a whole or parts of a set.
3 ← 3 is the numerator.
Fractions are written like ! .
4 ← 4 is the denominator.
The numerator tell the number of parts under consideration.
Ms.
The denominator tells the total number of equal parts in the whole or set.
I love
pizza!
Fraction
Proper fractions are less than 1: the numerator is less than the denominator.
Improper fractions are greater than 1: the numerator is greater than the denominator.
You can rewrite improper fractions as mixed numbers.
A mixed number has two parts: a whole number and a proper fraction.
E x am p l E
1
What fraction of the chocolate bar did he eat?
5
Peter ate 5 out of 6 equal pieces, or !6 of the whole.
Remember: The denominator tells the total number of equal parts.
The numerator tells the number of equal parts out of the total.
5
We can also write !6 as five-sixths.
E x am p l E
2
The model shows a mixed number.
1
Two whole circles and !4 of one circle are shaded.
1
2 is the whole number and !4 is the fraction.
1
So, 2 !4 means “two and one-fourth.”
1
6 left
ng
eati ar.
m
I a the b
5 of
6
9
1
2 !4 can also be written as !4 : count the fourths.
page 158
Chapter 14 – Lesson 1
E – © CSL Associates, Inc. All rights reserved.
Peter cut a chocolate bar into 6 equal pieces. He ate 5 of the pieces.
Name
P RAC T I C E
The chocolate bar has 24 equal pieces.
What fraction of the chocolate bar is each portion?
1. portion of 12 pieces:
12
1
or 24
2
2. portion of 23 pieces:
23
24
3. portion of 18 pieces:
18
3
or 24
4
4. portion of 8 pieces:
8
1
or 24
3
1
24
6. portion of 3 pieces:
3
1
or 24
8
5. portion of 1 piece:
Write the numerator and the denominator for each fraction.
2
8.
7. 3
Numerator:
Denominator:
2
3
Numerator:
Denominator:
9.
3
4
E – © CSL Associates, Inc. All rights reserved.
Write each mixed number as an improper fraction.
1
1
1
7
13
10. 3 11. 4 12. 5 2
3
5
2
3
Write each improper fraction as a mixed number.
3
9
12
1
4
14. 1
15.
1
16.
2
5
4
2
5
Numerator:
Denominator:
2
7
26
5
4
13. 9 7
67
7
3
15
17. 6 1
22
Solve.
18. The physical education teacher organized 6 relay races.
Janeth competed in 5 of them.
What fraction of the races did she compete in?
Math
Reasoning
5
6
Number Sense
MR 1.1
1
19. When is 2 more than 1?
(Hint: Think about how parts of a whole are different from parts of a set.)
Possible answer: When you take half of a set that has more
than one object. For example, half of four is 2.
Chapter 14 – Lesson 1
page 159
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 106
Name
…at home!
P RAC T I C E
The chocolate bar has 24 equal pieces.
What fraction of the chocolate bar is each portion?
3. portion of 15 pieces:
5. portion of 8 piece:
1
6
2
4
24
6
3
15
5
24
8
2. portion of 22 pieces:
2
2 1
1
24 12
4. portion of 7 pieces:
7
24
8 1
24
3
6. portion of 6 pieces:
61
24 4
Write the numerator and the denominator for each fraction.
3
7. 8.
8
Numerator:
Denominator:
3
8
Numerator:
Denominator:
9.
2
4
Write each mixed number as an improper fraction.
1
1
1
10
5
10. 2 11. 3 12. 6 2
3
5
2
3
Numerator:
Denominator:
31
5
Write each improper fraction as a mixed number.
4
14. 5 12
15. 8 11
16. 1
3
3
6
3
7
2
4
7
4
13. 7 7
53
7
2
17. 1
5
22
5
Solve.
18. The physical education teacher organized 6 relay races.
Tahlia competed in 4 of them.
What fraction of the races did she compete in?
Math
Reasoning
2
4 6
3
Number Sense
MR 1.1
1 more than 1?
19. When is 3
(Hint: Think about how parts of a whole are different from parts of a set.)
equals
Possible answer: When there are 6 whole items and 1
3
2 of them, 2 1.
page 106
Home Resource and Homework
Chapter 14 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
1. portion of 16 pieces:
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:46 Page 293
Name
P RAC T I C E
The chocolate bar has 24 equal pieces.
What fraction of the chocolate bar is each portion?
1. portion of 12 pieces:
12
1
or 24
2
2. portion of 23 pieces:
23
24
3. portion of 18 pieces:
18
3
or 24
4
4. portion of 8 pieces:
8
1
or 24
3
1
24
6. portion of 3 pieces:
3
1
or 24
8
5. portion of 1 piece:
Write the numerator and the denominator for each fraction.
2
8.
7. 3
Numerator:
Denominator:
2
3
Numerator:
Denominator:
9.
3
4
E – © CSL Associates, Inc. All rights reserved.
Write each mixed number as an improper fraction.
1
1
1
7
13
10. 3 11. 4 12. 5 2
3
5
2
3
Write each improper fraction as a mixed number.
3
9
12
1
4
14. 12
15. 15
16. 2
5
4
Numerator:
Denominator:
2
7
26
5
4
13. 9 7
67
7
3
15
17. 6
1
22
Solve.
18. The physical education teacher organized 6 relay races.
Janeth competed in 5 of them.
What fraction of the races did she compete in?
Math
Reasoning
5
6
Number Sense
MR 1.1
1
19. When is more than 1?
2
(Hint: Think about how parts of a whole are different from parts of a set.)
Possible answer: When you take half of a set that has more
than one object. For example, half of four is 2.
Chapter 14 – Lesson 1
Student Book Page
page 159
Name
…at home!
P RAC T I C E
The chocolate bar has 24 equal pieces.
What fraction of the chocolate bar is each portion?
3. portion of 15 pieces:
5. portion of 8 piece:
1
6
2
4
24
6
3
5
15
24
8
2. portion of 22 pieces:
2
2 1
1
24 12
4. portion of 7 pieces:
7
24
8 1
24
3
6. portion of 6 pieces:
61
24 4
Write the numerator and the denominator for each fraction.
3
7. 8.
8
Numerator:
Denominator:
3
8
Numerator:
Denominator:
9.
2
4
Write each mixed number as an improper fraction.
1
1
1
10
5
10. 2 11. 3 12. 6 2
3
5
2
3
Numerator:
Denominator:
31
5
Write each improper fraction as a mixed number.
4
14. 5 12
15. 8 11
16. 1
3
3
6
3
7
2
4
7
4
13. 7 7
53
7
2
17. 1
5
22
5
Solve.
18. The physical education teacher organized 6 relay races.
Tahlia competed in 4 of them.
What fraction of the races did she compete in?
Math
Reasoning
4
2
6
3
Number Sense
MR 1.1
1
19. When is more than 1?
3
(Hint: Think about how parts of a whole are different from parts of a set.)
equals
Possible answer: When there are 6 whole items and 1
3
2 of them, 2 1.
page 106
Home Resource and Homework
Chapter 14 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
1. portion of 16 pieces: