MATHEMATICS

Common fractions

EDUCATOR SECTION

Memorandum

1. a) 710710 size 12{ { { size 8{7} } over { size 8{"10"} } } } {}

b) 310310 size 12{ { { size 8{3} } over { size 8{"10"} } } } {}

c) 410410 size 12{ { { size 8{4} } over { size 8{"10"} } } } {} or 2525 size 12{ { { size 8{2} } over { size 8{5} } } } {}

d) 610610 size 12{ { { size 8{6} } over { size 8{"10"} } } } {} or 3535 size 12{ { { size 8{3} } over { size 8{5} } } } {}

3.1 a) a) 1 4747 size 12{ { { size 8{4} } over { size 8{7} } } } {}

b) 2 2727 size 12{ { { size 8{2} } over { size 8{7} } } } {}

b) a) - 3434 size 12{ { { size 8{3} } over { size 8{4} } } } {}

b) - 1414 size 12{ { { size 8{1} } over { size 8{4} } } } {}

c) 2 3434 size 12{ { { size 8{3} } over { size 8{4} } } } {}

c) a) 98 3535 size 12{ { { size 8{3} } over { size 8{5} } } } {}

b) 99 1515 size 12{ { { size 8{1} } over { size 8{5} } } } {}

c) 100 4545 size 12{ { { size 8{4} } over { size 8{5} } } } {}

LEANER SECTION

Content

ACTIVITY: Fractions [LO 2.7.4, LO 1.10]

1. Let us start straight away! Look carefully at the picture.

Figure 1

Work with a friend to find out:

a) What fraction of the class is girls? .__________________________________

b) What fraction of the class is boys? __________________________________

c) What fraction of the learners is sitting? _______________________________

d) What fraction of the learners is standing? _____________________________

2. Conduct a survey of the learners in YOUR class and complete the table:

Table 1

FRACTION OF THE CLASS	GIRLS	BOYS
Fraction that has blue eyes	_________	_________
Fraction with blonde hair	_________	_________
Fraction that loves Maths	_________	_________
Fraction that takes part in sport	_________	_________
Fraction that studies music	_________	_________

3.1 Write down the fraction indicated by the arrows.

a)

Figure 2

(a) ___________________

(b) ___________________

b)

Figure 3

(a) ___________________

(b) ___________________

(c) ___________________

c)

Figure 4

(a) ___________________

(b) ___________________

(c) ___________________

(d) ___________________

3.2 Did you know?

When there are negative and positive numbers on a number line together with fractions, these numbers are called rational numbers. All these number lines above are thus number lines containing rational numbers.

Assessment

Learning Outcome 1:The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.10: We know this when the learner uses a range of strategies to check solutions and judges the reasonableness of solutions.

Learning Outcome 2:The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.7: We know this when the learner determines, analyses and interprets the equivalence of different descriptions of the same relationship or rule presented:

2.7.4: by equations or expressions.