Mathematics
Multiplication
Educator section
Memorandum
1. 17
- x 19
63
72
Something else to know.
50
- + 15 = 50
2. (a) 20 + 7
(b) 500 + 30
500 30 94
Brain teasers
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1.4 Dolphin
Leaner section
Content
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
|
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.