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:

LEANER SECTION

Content

ACTIVITY: Bonds [LO 1.2, LO 1.3, LO 1.8, LO 1.9, LO 2.2]

• Count the marbles.

Figure 1

______________________ni______________________

Bonds of 19.

• Complete:

18 + ______________________ = 19 so,______________________+ 18 = 19

10 + ______________________= 19 so, ______________________+ 10 = 19

13 + ______________________ = 19 so, ______________________+ 13 = 19

1 1 + ______________________ = 19 ______________________

12 + ______________________ = 19 ______________________

16 + ______________________ = 19 ______________________

14 + ______________________ = 19 ______________________

1 + ______________________ = 19 ______________________

3 + ______________________ = 19 ______________________

5 + ______________________ = 19 ______________________

Table 1

LO 1.3

LO 1.9

• Count the marbles.

Figure 2

______________________ni______________________

• Complete:

19 - 1 = ____________ so 19 - 18 = 1

19 - 4 = ____________ 19 - ____________ = ____________

19 - 10 = ____________ 19 - ____________ = ____________

19 - 9 = ____________ 19 - ____________ = ____________

19 - 3 = ____________ 19 - ____________ = ____________

19 - 6 = ____________ 19 - ____________ = ____________

19 - 2 = ____________ 19 - ____________ = ____________

19 - 5 = ____________ 19 - ____________ = ____________

19 - 8 = ____________ 19 - ____________ = ____________

19 - 7 = ____________ 19 - ____________ = ____________

Table 2

LO 1.3

LO 1.9

• Here is a mini-dartboard.

Figure 3

• You have 2 darts.

On which numbers must you land to make a total of 19?

• Write the results here.

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

• What if you had 3 darts?

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

__________________ = 19 __________________ = 19

Table 3

LO 1.9

• Complete the counting pattern by joining the numbers.

Figure 4

• Complete: How many cherries on the trees?

Figure 5

Table 4

LO 1.2

LO 2.2

LO 1.8

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 1.2: We know this when the learner counts forwards and backwards;

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 1.8: 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;

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.