2.2 To recognise, describe and use the properties of whole numbers

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Educator section

Memorandum

1. 17

1. x 19

63

72

Something else to know.

50

1. + 15 = 50

2. (a) 20 + 7

(b) 500 + 30

500 30 94

Brain teasers

  X  X  X  X  X X 

1.4 Dolphin

Activity: to recognise, describe and use the properties of whole numbers [lo 1.12.2]

1. Take another look at the properties of multiplication that you have studied. Now complete the following:

17 x (15 x 13) = (_________________________x 15) x 13

(246 x 38) x 19 = 246 x (_____________x _____________)

_______________________ x (526 x 59) = (63 x 59) x 526

(349 x _______________________) x 68 = 72 x (349 x 68)

SOMETHING MORE TO KNOW!

The DISTRIBUTIVE PROPERTY of multiplication makes it much easier to calculate the product.

Calculate the answer to the following:

(7 + 3) x 5 = _________________________________

(7 x 5) + (3 x 5) = _____________ + _____________ = _____________

Thus: (7 + 3) x 5 = (7 x 5) + (3 x 5)

2. Work together with a friend and fill in the missing answers:

a) 68 x 27 = 68 x (_______________ + _________________)

b) 94 x 536 = 94 x (_______________ + _____________ + 6)

= (94 x _______________) + (94 x _______________) + (_______________x 6)

BRAIN-TEASER!

4 Can you complete the following table by filling in a tick (P) or a cross (O)?

 Property can be applied to multiplication can be applied to division can be applied to addition can be applied to subtraction Commutative ____________ _______ _______ _______ Associative ____________ _______ _______ _______ Distributive ____________ _______ _______ _______

Time for self-assessment

 Tick the applicable block: 1 2 3 4 I know the 12x- table. (LO 1.9) ____ ____ _____ _____ I know the terminology (product, multiple, factors, multiplier , etc.) and can use it properly. (LO 1.12) ____ ____ _____ _____ I can determine factors of numbers correctly. (LO 1.3) ____ ____ _____ _____ I can apply the commutative property of multiplication. (LO 1.12) ____ ____ _____ _____ I can apply the associative property of multiplication. (LO 1.12) ____ ____ _____ _____ I can apply the distributive property of multiplication. (LO 1.12) ____ ____ _____ _____

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 1.12: We know this when the learner recognises, describes and uses:

1.12.2: the commutative, associative and distributive properties with whole numbers.

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