4.7 Patterns

Mathematics

Mathematics in the world around us

Educator section

Memorandum

Critical and developmental outcomes:

The learners must be able to:

1. identify and solve problems and make decisions using critical and creative thinking;

2. work effectively with others as members of a team, group, organisation and community;

3. organise and manage themselves and their activities responsibly and effectively;

4. collect, analyse, organise and critically evaluate information;

5. communicate effectively using visual, symbolic and/or language skills in various modes;

6. use science and technology effectively and critically, showing responsibility towards the environment and the health of others;

6. demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation;

7. reflect on and explore a variety of strategies to learn more effectively;

8. participate as responsible citizens in the life of local, national, and global communities;

9. be culturally and aesthetically sensitive across a range of social contexts;

10. explore education and career opportunities; and

develop entrepreneurial opportunities.

• Integration of Themes:
• Social justice: The story of the secret signs shows how history can be important. What are the advantages of knowing things about the past?

Learners can divide into groups, visit the library and do more research on the origin of our number system, the Roman numerals, etc.

Learners can do projects on Mathematics found in nature, in the classroom and in the home. They learn to work together in a team, listen to one another and to share ideas.

Discuss whether so called “bargains” are always bargains. What is your attitude towards “sales” in shops? Is it always necessary to give / receive birthday presents? Why do you give presents? When would not giving presents be acceptable?

• With the inclusion of the story of the secret sign at this stage, learners are able to understand the significance of the “0” as “place holder” (indegrated with Literacy).
• The patterns with addition and subtraction of 6, 7, 8 and 9 are emphasised.
• Telling the time in minutes become easy as learners count the minutes in 5’s.
• Codes are used to find the answer to a puzzle.
• As preparation for the Christmas celebrations, the month of December is used for activities involving the calendar.
• Module 8 concludes with a game where crackers with number sentences are matched to lights on the Christmas tree.

Leaner section

Content

Activity: patterns [lo 1.8, lo 1.9, lo 1.11, lo 1.12, lo 2.2, lo 2.4]

• Discover the pattern and complete it.
• Tell your friend what you have discovered.

9 + 1 = 10

9 + 2 = ......

9

8 + 2 = 10

8 + 3 = ......

8

7 + 3 = 10

7 + 4 = ......

7

6 + 4 = 10

6 + 5 = ......

6

18 - 9 = 9

17 – 9

16

17 - 8 =

16 - 8 =

15

16 - 7 =

15 - 7 =

14

15 - 6 =

14 - 6 =

13

9 + 5 =

1 9 + 5

29 + 5

39

49

8 + 6 =

18 + 6

28

38

48

7 + 7 =

1 7 + 7 =

27

37

47

8 + 8 =

18 + 8 =

28

38

48

• Do you remember the pattern?

• Complete the pattern:

4, (+9) 13, +9 ...... , ...... , ...... , ......

50, (-9) ...... , ...... , ...... , ...... , ......

• Check with a friend to compare your answers.

• Arrange these groups of numbers from the least to the most.
• Discuss the counting pattern that they make.
• Work in groups of four.

1. 60, 30, 90, 80, 40, 10, 50, 20, 70,

_____________________________________________________________________

Counting pattern: __________________________________________________

2. 23, 31, 27, 35, 25, 37, 29, 33,

_____________________________________________________________________

Counting pattern: ______________________________________________________

3. 25, 13, 19, 7, 3 1, 1,

_____________________________________________________________________

Counting pattern: ______________________________________________________

4. 40, 36, 28, 8, 20, 16, 4, 32, 1 2, 24,

_____________________________________________________________________

Counting pattern: ___________________________________________________

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 1.8: We know this when the learner can perform calculations, using appropriate symbols, to solve problems;

Assessment Standard 1.9: We know this when the learner performs mental calculations;

Assessment Standard 1.11: We know this when the learner explains own solutions to problems;

Assessment Standard 1.12: We know this when the learner checks the solution given to problems by peers.

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 2.2: We know this when the learner copies and extends simple number sequences to at least 200;

Assessment Standard 2.4: We know this when the learner describes observed patterns.