<< Chapter < Page Chapter >> Page >

Mathematics

Number concept

Educator section

Memorandum

2. Learner’s own method

3.1 9 080 717

3.2 8 301 883

  • 6 485 185

Brain teaser

1. 4 2. 1

3 2

1 3

2 3

1 44

8 1

Leaner section

Content

Activity: to determine the equivalence and validity of different representations [lo 2.6.3]

To use strategies to check solutions [lo 1.11]

1. In the previous activity you had the opportunity to use your own strategies to solve problems. From the feedback in the class you would have realised that there are many ways of adding numbers.

Work in pairs. Discuss the following methods of adding and explain to each other how the answers are calculated:

Let’s revise!

1.1 845 908 + 25 876 + 343 621

800 000 + 40 000 + 5 000 + 900 + 0 + 8
20 000 + 5 000 + 800 + 70 + 6
+ 300 000 + 40 000 + 3 000 + 600 + 20 + 1
1 100 000 + 100 000 + 13 000 + 2 300 + 90 + 15

= 1 000 000 + (100 000 + 100 000) + 10 000 + (3 000 + 5 000) + 300 + (90 + 10) + 5

= 1 215 405

1.2

= 1 215 405

1.3

1 1 1 2 1
8 4 5 9 0 8
2 5 8 7 6
+ 3 4 3 6 2 1
1 2 1 5 4 0 5

2. Can you show your friend any other method of calculation?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3. Use any method of your choice (without a calculator) and calculate the sum of:

3.1 4 623 577 + 1 239 246 + 3 217 894

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3.2 2 851 416 + 4 981 235 + 469 232

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

3.3 2 153 892 + 264 058 + 4 067 235

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Brain teasers!

Complete the missing numbers:

1.

1. 2 1 3 4 1 ___ 2. ___ 7 9 1 2 3
8 9 2 ___ 7 4 ___ 2 8 1 6
1 7 5 ___ 9 2 1 1 ___ 2 3 3
___ 1 4 1 1 9 1 0 0 ___ 7 1
+ 1 ___ 9 1 2 3 + 1 4 3 0 ___ ___
___ 1 ___ 0 8 5 9 5 8 5 8 7

Time for self-assessment

  • Tick the appropriate rectangle:
Yes Mostly Some-times No
I can investigate adding methods and evaluate them (determine whether they are correct). (LO 1.11 en LO 2.6) *
I can add correctly without a calculator. (LU 1.8) *
I need more exercise in addition. *

* Ask your educator to explain again and give you extra exercises.

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 1.11: We know this when the learner uses a range of strategies to check solutions and judge 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 2.6: We know this when the learner determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:

2.6.3: e.g. number sentences.

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Mathematics grade 6' conversation and receive update notifications?

Ask