Mathematics GRADE 5 - starofthesea.co.zastarofthesea.co.za/wp-content/uploads/2020/05/GR-5-MATHS-WEEK … · MEMORANDUM: HOMEWORK 7a) A = 15 8 B = 21 8 C = 27 8 b) 10 8 =12 8 8a)

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Grade 5 Common fractions

Week 2

TOPIC: Fractions

DAY 1

Classroom activity:

Measure with fractions of a unit and equivalent fractions:

Study the passage below. Answer the questions in your workbook.

Janice uses this measuring stick to measure the length of strips of metal and lace. She calls it

her Brownstick.

This blue strip is exactly 2 Brownsticks long:

The red strip below is longer than 1 Brownstick, but it is shorter than 2 Brownsticks:

We need smaller units to measure the red strip accurately.

1. Part of this Brownstick ruler is divided into smaller units:

(a) What part of a Brownstick is each of these smaller units?

(b) What part of a Brownstick is each of the smaller units on the ruler below?

Mathematics

GRADE 5

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Week 2

2. Write your answers to questions (a) to (c) in words and in symbols. In some of the questions

you may be able to state the length in two different ways.

(a) How long is this red strip?

Words:

Symbols:

(b) How long is this blue strip?

Words:

Symbols:

(c) How long is this yellow strip?

Words:

Symbols:

Ruler A above is called a tenths-ruler because it is marked in tenths of a Brownstick.

Ruler B is called a fifths-ruler because it is marked in fifths of a Brownstick.

3. (a) What can we call Ruler C below?

(b) How many twentieths of a Brownstick is the same length as 6 tenths of a Brownstick?

(c) How many twentieths of a Brownstick is the same length as 3 fifths of a Brownstick?

4. How long is this red strip?

5. This is the same red strip as

in question 4. What is the length?

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Week 2

Homework: Complete the homework in your workbook. Use the memorandum to mark

your work.

USE THE FRACTION WALL BELOW TO ANSWER THE FOLLOWING QUESTIONS:

6. Write down one fraction that is equivalent to each of the following fractions.

(a) 12 (b)

13 (c) 14 (d)

612

7. Write down one fraction that is equivalent to each of the following fractions.

(a) 45 (b)

23 (c) 610 (d)

812

8. Write down one fraction that is bigger than:

(a) 910 (b)

45

9. Write down one fraction that is smaller than:

(a) 15 (b)

210

Fractions that describe the same length or quantity are called equivalent fractions

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Week 2

MEMORANDUM: DAY 1

1. (a) one fifth

(b) one sixth

2. (a) one and six tenths of a Brownstick long; 1610

(b) one and two sixths of a Brownstick long; 126

(c) Ruler A: one and six tenths of a Brownstick long; 1610

Ruler B: one and three fifths of a Brownstick long; 135

3. (a) Ruler C is a twentieths-ruler

(b) 12 twentieths / 1220

(c) 12 twentieths / 1220

4. Ruler D: one and nine twelfths of a Brownstick long; 1912Brownsticks

Ruler E: one and six eighths of a Brownstick long; 168 Brownsticks

5. 1 34 of 1912

MEMORANDUM: HOMEWORK

6a) 24 ; 510 ; 612 (b)

412 (c) 312 (d)

12 ; 24 ; 510

7a) 810 (b)

812 (c) 35 (d)

23

8a) 1112 (b)

910 ; 1010;

1012; 1112 ; 1212 (any one of these fractions)

9a) 110;

112 ; 212 (any one of these fractions)

9b) 112 ; 212 (any one of these fractions)

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Week 2

DAY 2

Classroom activity: Count in fractions on the number line.

Answer the questions in your workbook.

Study the number line below and answer questions 1 to 3.

1. What is the length of the green strip? Write your answer as an improper fraction and

as a mixed number.

2. What numbers are represented by a, b and c on the number line?

3. Write the fraction at c as a mixed number and as an improper fraction.

4. a)What numbers are represented by A, B, C, D and E on the number line?

b)Write the values of D and E as mixed numbers and as improper fractions.

5. Write down the missing numbers on the number line. Write from A to F.

6. a) Write down the numbers represented by the letters A to D.

b) Write the value as C as a mixed number as well as an improper fraction.

c) Write the value of B as a mixed number. The denominator of the mixed number

must be 2.

c b a

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Week 2

HOMEWORK: Complete the homework in your workbook. Use the memorandum to

mark your work.

7. a) Write down the value of A, B and C.

b) What is the length of the green strip?

8. a) Write down the value of A, B and C.

b) What is the length of the green strip?

9. Write the numbers that should be at the arrows on the number lines below.

MEMORANDUM: DAY 2

1. 75 ; 1 25

2a) 35 b)

55 = 1 c) 95

3) 145 ;

95

4a) A = 34 B =

44 = 1 C = 54 D =

64 E = 74

4b) D = 64 = 1 24 E =

74 = 1 34

5. A = 3 16 B = 3 C = 256 D = 2 46 E = 2 36 F =2 26

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Week 2

6. a) A = 1010 = 1 B =

1510 = 1 510 C = 1910 = 1 910 D =

710

b) 1910 = 1 910 c) 1 510 = 1 12


7a) A = 1 58 B = 218 C = 2

78

b) 108 = 1 28

8a) A = 59 B =

99 = 1 C = 139

b) 89

9. a) 17 b) 67 c)

167 = 2 27 d) 35 e)

65 = 1 15 f) 105 = 2

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Week 2

DAY 3

CLASSROOM ACTIVITY: Compare and order fractions:

Today you are going to compare fractions. Compare means something is bigger (>), smaller(<)

or equal to (=).

Order means to arrange something in ascending order or descending order

Study the questions. Use the diagrams. Write your answers in your workbook. Use the

Memorandum to mark your work

1. Which weighs more, or is the mass the same? You may find the diagrams useful .

(a) 68 kg copper or 57 kg copper? …………………

(b) 27 kg copper or

38kg copper? …………………

(c) 57 kg copper or 710kg copper? …………………

(d) 812 kg copper or

23 kg copper? …………………

(d) 810 kg copper or 1115 kg copper? …………………

2a) Arrange the following 6 numbers from

smallest to largest .

b) What do you notice about the numerators?

c) What can you say about the denominators if

all the numerators are the same?

3. Study the fraction wall and write down two

equivalent fractions for each of the

following.

a) 13

b) 812

4. Study the fraction wall and write down three fractions that are smaller than 13 .

5. Study the fraction wall and write down three fractions that are bigger than 46 .

12 ; 15 ; 112 ; 116 ; 13 ; 18

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Week 2

HOMEWORK:

6. One third of the diagram has been shaded in red. Is it true or false?

Give a reason for your answer.

7. One third of the diagram has been shaded in yellow.

Is it true or false? Give a reason for your answer.

8. One quarter of the diagram has been shaded in blue.

Is it true or false? Give a reason for your answer.

MEMORANDUM: DAY 3:

1(a) > 1(b) < 1(c) > 1(d) =

2a) 116 ; 112 ; 18 ; 15 ; 13 ; 12

2b) All the numerators are the same. The value of the numerators is one.

2c) The bigger the denominator, the smaller the value of the fraction.

3a) 26 ; 39 ; 412 3(b)

69 ; 46 ; 23

4) 16 ; 29 ; 312

5) 79 ; 89 ; 99 ; 912 ; 1012 ; 1112 ; 1212 (Any one of the fractions is correct)


6. I agree. There are 12 blocks. Four of the blocks are red. 412 = 13

7. I agree. There are 15 blocks. Five of the blocks are yellow. 515 = 13

8. I agree. There are 16 blocks. Four of the blocks are shade blue. 416 = 14

B

Y

R

R

R

R

Y Y Y Y

B

B

B

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Week 2

DAY 4

Classroom activity: Solve problems

Today you are going to solve problems. Read the questions carefully. Write your answers in your

workbook. Use the memorandum to check your answers.

1. Mrs Faku has two sons. When she gives them cookies to eat, she gives two cookies to the older

son for every one cookie that she gives to the younger son.

(a) What fraction of all the cookies that she gives them does each of the sons get?

Elder son gets : Younger son gets:

(b) If she gives them 36 cookies in total, how many cookies does each son get ?

Elder son: Younger son:

2. There are 15 people at a party and 5 milk tarts. Thulisile eats 14 of a milk tart. Is that more or

less than her fair share? Explain your answer.

3. Pienie uses about 2 fifths of one small block of butter to bake one batch of rusks. How much

butter does she need for four batches of rusks?

4. Each ruler below is 2 Brownsticks long.

(a) How long are the two red strips together?

(b) How long are the two blue strips together? …………………………

R R

B B

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Week 2

(c) How long are the three yellow strips together?

5. How much is each of the following?

(a) 18 kg +

18 kg + 18 kg of meat

6. (a) How many twelfths of a kilogram is 14 kg?

(b) How much is 14 kg +

512 kg sugar?

HOMEWORK: Study the questions carefully. Write your answers in your workbook. Use the

memorandum to mark your work.

7. If each child get a quarter of a pizza, how many children will each get a portion if I have

three pizzas?

8. My mom bakes 5 milktarts for a function. If each person needs to get 16 of a milk tart, how

many people are going to get a piece of milk tart?

9. 72 learners are equally divided into 3 classes. Each class has its own classroom. What fraction

of all the learners is in each classroom?

10. A mother shares the peaches she bought equally between her four children. What fraction

of the peaches does each child get?

MEMORANDUM: CLASS WORK

1. (a) Elder son gets 23 of cookies; younger son gets

13 of cookies

(b) Elder son gets 24 and younger son gets 12 cookies

Explanation: Share cookies equally in 3 groups. 36 ÷ 3 = 12

Elder son: 2 groups of 12 = 24

Younger son: 1 group of 36 = 12

G G G

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Week 2

2. Less, because 14 <

13 of a milk tart. (If there are 15 people and 5 milk tarts, each person can eat

one third of a milk tart.)

3. 1 35 blocks of butter ( 25 + 25 + 25 + 25 = 85 = 1 35)

4. (a) Red strips = 26 + 36 = 𝟓𝟔

(b) Blue strips = 38 + 58 = 88 = one brown stick long

(c) 512 + 512 + 512 = 1512 = 1 312

5. 38 kg meat

6. (a) 14 𝑥 33 = 312 kg

(b) 14 𝑥 33 = 312

312 + 512 = 812 kg


7. 12 children

8. 30 people

9.one third (13)

10. one quarter (14)

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Week 2

DAY 5

Classroom activity: Revision

Today you will do revision of the week’s work. Do your work in your workbook. Use the

memorandum to mark your work.

1.Use the fraction wall to answer the following questions.

Fill in the relationship sign:

(a) 36 ___

712

(b) 13 ___ 618

(c) 49 ___

812

(d) 1118 ___ 23

(e) 56 ___ 1012

2. Make use of the fraction wall above and arrange the following fractions in descending order.

59 ; 712 ; 918 ; 46 ; 13

3. Study the coloured diagram and answer the questions that follow:

a) What fractions of the blocks are blue?

b) What fractions of the blocks are green?

c) True or false: One fifth of the blocks are green. Give a reason for your answer.

d) What fraction of the blocks are green and red?

e) What fraction of the blocks are not blue?

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Week 2

4. Study the number line below and answer the following questions.

a) What is the value of A? Write your answer as a mixed number as well as an improper fraction.

b) What is the value of B? Write your answer as a mixed number as well as an improper fraction..

c) What is the value of C? Write your answer as a mixed number as well as an improper fraction.

d) What is the length of the green strip?

e) What fraction is halfway between A and B?

5. Study the diagram below and answer the questions.

a) How many parts have been shaded yellow?

b) How many halves have been shade in?

c) What fraction has not been shaded?

MEMORANDUM: REVISION

1a) < b) = c) < d)< e) =

2) 46 ; 712 ; 59 ; 918 ; 13

3a) 720 b)

420 c) True 15 𝑥 44 = 420 d)

920 e) 1320

4a) A= 2 78 b) B= 338 c) 3

68 d) 11 8 = 98 e) 3

18

5a) 712 b) 15 c) 1

12 = 32

Mathematics GRADE 5 - starofthesea.co.zastarofthesea.co.za/wp-content/uploads/2020/05/GR-5-MATHS-WEEK … · MEMORANDUM: HOMEWORK 7a) A = 15 8 B = 21 8 C = 27 8 b) 10 8 =12 8 8a)

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