Unit 1 Properties of numbers and integers Unit focus


Learner’s Book page 12


This unit focusses on the following: • the properties of natural numbers; • whole numbers, integers, rational numbers, irrational numbers; and • the sets of numbers that constitute the real number system.


Background information


Learners should already know how to: • do mental calculations with whole numbers including multiplication facts up to 12 × 12


• do calculations with whole numbers, integers, common and decimal fractions in written form as well as using a calculator


• identify prime numbers up to 100 • identify the properties of whole numbers, integers, common and decimal fractions • work with the equivalent forms of common fraction and decimal fraction forms of the same number


• order and compare whole numbers, integers, common and decimal fractions. If necessary spend time assessing learners’ knowledge of these skills before doing the exercises in this unit.


Exercise 1 Guidelines on how to implement this activity


Ensure learners understand the various terms used in this unit and are able to distinguish between the different kinds of numbers. For this exercise revise prime numbers, composite numbers and substituting values to complete the table.


Suggested answers 1.1 2


Remedial


Some learners may have difficulty distinguishing between prime numbers and composite numbers (Exercise 1). Revise the definition of a prime number and how to apply the definition.


Extension


Challenge learners to investigate whether there is a largest prime number. There are web sites about this topic, just Google “prime number”.


5, 19, 47 and 53 1.2 39 = 3 × 13 95 = 5 × 19 No prime numbers 1.3 21, 39 and 95 Learner’s Book page 13


30 Section 4: Teaching Mathematics


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