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Upper Primary Mathematics Fractions - Commonwealth of Learning

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5 1 4 1 3 2<br />

1 1<br />

a) 2 – 1 = 1 b) 4 – 2 = 2 c) 9 – 3<br />

2<br />

= 6<br />

6 6 6 4 4 4<br />

2<br />

Peter simply looks for a greater fraction then subtracts the lesser one from it.<br />

He does not care whether the greater fraction belongs to the minuend or to<br />

the subtrahend. Peter thinks subtraction <strong>of</strong> common fractions is commutative.<br />

Remedial<br />

1<br />

Interpret 4<br />

4<br />

3<br />

– 2<br />

4<br />

as take-away. Use models to illustrate the problem. In<br />

3<br />

your process <strong>of</strong> modelling, ask Peter if he can subtract<br />

4<br />

1<br />

from . Also ask<br />

4<br />

1<br />

him for other names for 4<br />

4<br />

1<br />

such as 4 +<br />

4<br />

5<br />

and 3 + .<br />

4<br />

Unit Activity 4<br />

Shanzuwa has difficulty when adding common fractions. Can you find his<br />

pattern <strong>of</strong> error? Why might Shanzuwa be using such a procedure? How can<br />

you help him?<br />

2 1 4<br />

3 1<br />

a) + = b) + =<br />

3 4 7<br />

4 4<br />

Practice Activity 4<br />

In your classroom, identify errors made by pupils. At times ask them how<br />

they arrived at their wrong answers. Then identify causes <strong>of</strong> the error and<br />

remember to provide effective remedial work.<br />

Self Assessment<br />

1. Formulate and write a word problem involving real life situations for<br />

1 5<br />

1<br />

2<br />

+ . Use set models to arrive at the answer.<br />

6<br />

2. Find common fractions to fill in the circles so that each diagonal adds up<br />

to the same number. Describe the procedure you used.<br />

Continues on next page<br />

Module 2: Unit 2 22 Addition and Subtraction <strong>of</strong> Common <strong>Fractions</strong><br />

4<br />

8

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