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.

LEANER SECTION

Content

ACTIVITY: Number patterns [LO 1.3, LO 1.4, LO 1.6, LO 1.8, LO 1.10, LO 2.2, LO 3.8, LO 5.4]

Number Patterns

• The number of days in January has been written in a pattern for you to count. Continue the counting pattern by joining the numbers with a line. Begin on 2.

Figure 1

• These are all _______________________________ (even or uneven) numbers.

• Continue the counting pattern for the days in March. Begin on 1.

Figure 2

• Even numbers joined:_____________________________________
• Uneven numbers joined: ___________________________________
• Days in January and March: _________________________________

Total:

Table 1

LO 2.2

Number Patterns

• Continue the counting pattern for the month of May. Begin on 2.

Figure 3

• I used ________________________________ numbers. Even/uneven.
• Continue the counting pattern for the month of July. Begin on 1.

Figure 4

• I used these even numbers:_________________________________
• I used these uneven numbers:_______________________________
• Continue these counting patterns:

Figure 5

Table 2

LO 2.2

Rename these numbers

Table 3

1610 + 6	24. . . . . . . . . . .	36. . . . . . . . . . .	40. . . . . . . . . . .	58. . . . . . . . . . .
51. . . . . . . . . . .	13. . . . . . . . . . .	29. . . . . . . . . . .	94. . . . . . . . . . .	62. . . . . . . . . . .
87. . . . . . . . . . .	50. . . . . . . . . . .	96. . . . . . . . . . .	83. . . . . . . . . . .	74. . . . . . . . . . .

• Write these number names.

58 ____________________________________

94 ____________________________________

62 ____________________________________

74 ____________________________________

36 ____________________________________

87 ____________________________________

40 ____________________________________

13 ____________________________________

• Arrange these numbers from the least to the most.

16 4 19 23 11

____________________________________________________________________

Table 4

LO 1.3

LO 1.4

LO 1.10

• Des says, “Look how much I have saved.”

Figure 6

• Sisulu says, “Look how much I have saved.”

Figure 7

• Mo says, “Look how much I have saved.”

Figure 8

_____________________________________ has saved the most.

_____________________________________ has saved the least.

Sisulu has saved more than ______________________________________________

• Arrange these coins from the most to the least.

Figure 9

Table 5

LO 1.4

LO 1.6

• Price chart

ball 60c, yacht 55c, marbles 30c, hammer 25c, lollipop 10c, kitten 75c, racket 45c, 1 pencil 20c, book 30c

Figure 10

• Complete the graph.

Table 6

LO 5.4

• Read.
• Draw the coins.
• Look at the items on the previous page.

Liz bought a _________________________ for a ______________________ c.

She paid:

_____________________________________________________________________

Sally bought a _________________________ for ______________________ c.

She paid:

_____________________________________________________________________

Mike bought a_________________________ for ______________________ c.

He paid:

_____________________________________________________________________

Tom bought a ________________________ for____________________ c.

He paid:

_____________________________________________________________________

I bought a hammer for 25c. I paid: 10c + 20c. My change was ________________

Table 7

LO 1.6

Money! Money! Money!

• Mom sorts out her coins to pay for :

Figure 11

Table 8

LO 1.6

Off to the Shops

• Begin at bus stop 50.
• Complete the road to the shoe shop.

Figure 12

• Use these descriptions to tell Liz and Mo how to get from bus stop 50 to the shoe shop.

Figure 13

• Write the directions.

Table 9

LO 1.8

LO 3.8

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 1.3: We know this when the learner knows and reads number symbols from 1 to at least 200 and writes number names from 1 to at least 100;

Assessment Standard 1.4: We know this when the learner orders, describes and compares numbers:

Assessment Standard 1.6: We know this when the learner solves money problems involving totals and change in rand and cents;

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

Assessment Standard 1.10: We know this when the learner uses the following techniques:

1.10.1 building up and breaking down numbers;

1.10.2 doubling and halving;

1.10.3 using concrete apparatus (e.g. counters);

1.10.4 number-lines;

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.

Learning Outcome 3:The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.8: We know this when the learner understands direction.

Learning Outcome 5:The learner will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.

Assessment Standard 5.1: We know this when the learner collects data (alone and/or as a member of a group or team) in the classroom and school environment to answer questions posed by the teacher (e.g. ‘how many learners are there in each classroom?’);

Assessment Standard 5.4: We know this when the learner draws pictures and constructs pictographs that have a 1-1 correspondence between own data and representations;

Assessment Standard 5.5: We know this when the learner describes own or a peer’s collection of objects, explains how it was sorted, and answers questions about it.