OPM1501: Unique number - Science and Maths Assignment Help

Assignment Task

ASSESSMENT 01

1. From a constructivist perspective, it is important to create learning environments and learning activities that enable learners’ construction of knowledge rather than just absorb it. Write a 1000-word essay in which you critically respond to this statement with a lens on the teaching of numbers, patterns, and relationships in any grade in the Intermediate Phase. You should include examples, either from your learning experience at school, general reading, or observation as a learner to illustrate the points that you make.
2. A Unisa mathematics student teacher argued with his Teaching Practice mentor that “It is easier for a teacher to teach using rote learning and constructivism does not work in the real classroom setting”. Reflect on what this statement means for you as a Unisa student teacher.
3. Use compensation to add or subtract the following:

(a) 468 + 59

(b) 458 – 49

(c) 499 + 599 + 699

(d) 10 000 – 599

4 Illustrate the following numbers using base 10 blocks:

(a) 345

(b) 676

(c) 1050

(d) 2576

(e) 11

5. Test the following numbers for divisibility by 5, 6 and 11. (Do not divide or factorise.)

a) 9 898 350

b) 76 885 976

6. Mathematics proficiency denotes an integration of mathematical ideas such that their functional understanding is formed. In view of this statement, answer the following questions:

a) How would you differentiate between mathematical proficiency and mathematical teaching proficiency?

b) What are the benefits of mathematical proficiency? Use your own words to answer this question.

7. When you set tasks for your learners, you could tell them: “Use the ideas you own to solve this problem”.

a) What does this statement mean for you?

b) What does it mean to say that a task has multiple entry points?

c) Describe any mathematical task for intermediate phase learners where you can use at least two entry points.

8. You want to buy a book priced R108, but you find you only have R79 in your purse.

Think of ways in which you can find how much money you still need. You do not have pen and paper or a calculator with you, and you do not want to rely on the salesperson to work it out. There are various ways in which you can reason to find the answer. Describe two ways you would go about making the calculations to determine how much more you need to purchase the book

9. Use the following models to show the equivalence of the fractions 3/5 and 6/10

a) Set model

b) Area model

c) Number line

10. Compare the following fractions 3/5 and 3/7 by using the set model you explained above. Make accurate drawings.

11. Fill in the missing numbers to make the fractions equivalent:

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