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  • GETIntPhaseMaths display tagshide tags

    This collection is included inLens: Siyavula: Mathematics (Gr. 4-6)
    By: Siyavula

    Collection Review Status: In Review

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MATHEMATICS

Common and Decimal Fractions

Common Fractions

EDUCATOR SECTION

Memorandum

INTRODUCTION

The learning programme for grade six consists of five modules:

1. Number concept, Addition and Subtraction

2. Multiplication and Division

3. Fractions and Decimal fractions

4. Measurement and Time

5. Geometry; Data handling and Probability

  • It is important that educators complete the modules in the above sequence, as the learners will require the knowledge and skills acquired through a previous module to be able to do the work in any subsequent module.

COMMON AND DECIMAL FRACTIONS (LO 1; 2 AND 5)

LEARNING UNIT 1 FOCUSES ON COMMON FRACTIONS

  • This module continues the work dealt with in grade 5. Addition and subtraction of fractions are extended and calculation of a fraction of a particular amount is revised.
  • Check whether the learners know the correct terminology and are able to use the correct strategies for doing the above correctly.
  • Critical outcome 5 (Communicating effectively by using visual, symbolic and /or language skills in a variety of ways) is addressed.
  • It should be possible to work through the module in 3 weeks.
  • ** Activity 17 is designed as a portfolio task. It is a very simple task, but learners should do it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.
  • LEARNING UNIT 2 FOCUSES ON DECIMAL FRACTIONS
  • This module extends the work that was done in grade 5. Learners should be able to do rounding of decimal fractions to the nearest tenth, hundredth and thousandth. Emphasise the use of the correct method (vertical) for addition and subtraction. Also spend sufficient time on the multiplication and division of decimal fractions.
  • As learners usually have difficulty with the latter, you could allow 3 to 4 weeks for this section of the work.
  • ** Activity 19 is a task for the portfolio. The assignment is fairly simple, but learners should complete it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.

TEST 1

1. Fill in the missing words:

1.1 Improper

1.2 Mixed number

2.1 20282028 size 12{ { { size 8{"20"} } over { size 8{"28"} } } } {} 2.2 5656 size 12{ { { size 8{5} } over { size 8{6} } } } {}

3. Fill in: < ; > or = :

3.1 = 3.2 >

4. Simplify:

4.1 16191619 size 12{ { { size 8{"16"} } over { size 8{"19"} } } } {} 4.2 3434 size 12{ { { size 8{3} } over { size 8{4} } } } {}

5. Calculate:

5.1 = 10 2323 size 12{ { { size 8{2} } over { size 8{3} } } } {} + 5959 size 12{ { { size 8{5} } over { size 8{9} } } } {} 5.2 1 7878 size 12{ { { size 8{7} } over { size 8{8} } } } {}

= 10 119119 size 12{ { { size 8{"11"} } over { size 8{9} } } } {}

5.3 2 476

6.x = 1616 size 12{ { { size 8{1} } over { size 8{6} } } } {} + 4949 size 12{ { { size 8{4} } over { size 8{9} } } } {}

= size 12{ { size 8{3} } wideslash { size 8{"18"} } } {} + size 12{ { size 8{8} } wideslash { size 8{"18"} } } {}

x = size 12{ { size 8{"11"} } wideslash { size 8{"18"} } } {}

7. y = 3535 size 12{ { { size 8{3} } over { size 8{5} } } } {} x 1025110251 size 12{ { { size 8{"1025"} } over { size 8{1} } } } {}

= 615 km

LEANER SECTION

Content

TEST 1

1. Fill in the missing words:

1.1 167167 size 12{ { {"16"} over {7} } } {}is known as a ………………….......................... fraction.

1.2 We refer to 147147 size 12{1 { {4} over {7} } } {}as a ................................................ (2)

2. Fill in the missing numbers:

2.1 5757 size 12{ { {5} over {7} } } {}=2020 size 12{ { {"20"} over {} } } {}2.2 35423542 size 12{ { {"35"} over {"42"} } } {}=66 size 12{ { {} over {6} } } {}

(2)

3. Fill in: < ; > or = :

3.1 16201620 size 12{ { {"16"} over {"20"} } } {} ......................... 4545 size 12{ { {4} over {5} } } {} 3.2 4545 size 12{ { {4} over {5} } } {} ............................ 3434 size 12{ { {3} over {4} } } {}

(2)

4. Simplify:

4.1 32383238 size 12{ { {"32"} over {"38"} } } {} 4.2 45604560 size 12{ { {"45"} over {"60"} } } {}

(2)

5. Calculate:

5.1 723723 size 12{7 { {2} over {3} } } {} + 359359 size 12{3 { {5} over {9} } } {}

(3)

5.2 612612 size 12{6 { {1} over {2} } } {}458458 size 12{4 { {5} over {8} } } {}

(3)

5.3 4545 size 12{ { {4} over {5} } } {} of 3 095

(3)

6. Janine saves one sixth of her pocket money and Zade saves four ninths of his. What is the combined fraction of their saved pocket money?

(4)

7. Dad has to travel 1 025 km. He only completes three fifths of the distance. How many km has he travelled?

(4)

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

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