Algebra Answers

In modern mathematics teaching we want relational understanding, in addition to instrumental understanding. Describe how a teacher would teach for both instrumental and relational understanding of long division 357÷19.

Teaching long division of 357÷19 for instrumental understanding

Teaching long division of 357÷19 for relational understanding

Base 10 place value system                                                                                   

(a) Where is early evidence of the base 10 place value system? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give some detail of the base 10 place value system. (2)

(d) When in CAPS do learners start learning the base 10 place value system? (1)

Multiplication and division                                                                         

(a) Where do we find early evidence of multiplication and division? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how people multiplied and divided in your example. (2)

(d) Where in CAPS do learners start multiplying and dividing? (1)

1.2.Explain how and who came up with these algebraic concepts or used these algebraic concepts deloped over time.

1.2.1 decimal number system

1.2.3 abstract symbol s

1.2.3 negative numbers

1.3 Describe the stages in the development of symbolic algebra. Give at least one example of equation for each of these stages.

a) If 28 counters are a whole set, how many are there in five sevenths of the set?  

b) If 32 counters are four fifths of a set, how many counters are in a full set? Illustrate the your answer.

Name and explain in details at least 5 pre maths concepts learners need to be able to master in their Grade R year

The cost of two tables and three chairs is Ghc 705. If the table costs

Ghc 40 more than the chair, find the cost of the table and the chair.