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Mathematics

Number concept

Educator section

Memorandum

HD TD D H T E
1.1 6 0 9 8 0
1.2 5 0 8 1 3 6
1.3 5 0 4 6 0 0
1.4 8 2 6 0 4 0
1.5 4 0 7 0 0 5

3.1 576 826 = 500 000 + 70 000 + 6 000 + 800 + 20 + 6

3.2 894 392 = 800 000 + 90 000 + 4 000 + 300 + 90 + 2

Leaner section

Content

Activity: to recognise the place values of digits [lo 1.4.1]

To use a series of techniques to perform calculations [lo 1.10.3]

1. Let’s see if you are able to apply your knowledge about hundred thousands. Write the following numbers correctly into the table:

HT TT T H T U
1.1 60 980 ___ ___ ___ ___ ___ ___
1.2 508 136 ___ ___ ___ ___ ___ ___
1.3 Five hundred and four thousand six hundred ___ ___ ___ ___ ___ ___
1.4 Eight hundred and twenty six thousand and forty ___ ___ ___ ___ ___ ___
1.5 Four hundred and seven thousand and five ___ ___ ___ ___ ___ ___

2. If you are able to “read” a number line correctly, you will be able to determine exactly where any number fits in. Work with a partner and use arrows to indicate the approximate positions of the following numbers in the number line.

2.1 318 500

2.2 347 899

2.3 372 000

2.4 398 799

2.5 403 000

3. In Activity 1.3 you have had the opportunity to write numbers in expanded notation.

See if you can also do it correctly with the following numbers:

e.g. 26 113 = 20 000 + 6 000 + 100 + 10 + 3

3.1 576 826 =

3.2 894 392 =

Do you still remember?

= means it is equal to

¹ means it is not equal to

<means it is smaller than

Ø means it is bigger than

Assessment

Learning Outcome 1: 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 1.4: We know this when the learner recognises the place value of digits in:

1.4.1 whole numbers to at least 9-digit numbers

Learning Outcome 1: 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 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.3: building up and breaking down numbers

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Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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