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use the vertical and horizontal algorithms to find the sum or difference of the following. (Explain the "borrow and carry concept)

a) 587+620 

b) 749-568


Use the correct language to explain the difference between the expressions

"It is the fifth of December"

"You are the fifth in the row"

" I want a fifth of the pizza"

What types of numbers are we dealing with in these expressions?


Use the method of compensation to show how you can make the subtraction of 563-79 easier.


i. Write notes on the remainder and factor theorem (polynomials).


ii. Write short notes on Indices and Logarithms (highlighting the rules and siting examples of their mathematical application)


2 x − 5 6 + 3 x


A class 4 teacher wants to help her students understand the 3 categories of division of numbers. Construct one word problem of each category corresponding to the division 32 ÷8 = .4 Which of these categories of word problems is usually considered difficult for a primary school child to understand? Give reasons for your answer. 



What could be the logic behind the following subtraction done by a child:3.45-4.6=1.39 Does this shows that the child has not understood the process of subtraction of numbers? Give reasons for your answer. How will you help her to correct her mistake.



Set up an algebraic equation that could represent the following life situation:
Nkateko sells bananas at the low but fixed price of R3/kg. In
order to ensure that she makes a reasonable profit, she adds a
certain fixed amount of money to any quantity of bananas
purchased. A customer who bought 4 kg of bananas was observed
paying R14.

Illustrate with examples why “classification” and “seriation” are pre number concepts. Develop a series of three distinct activities at different levels of difficulty, to assess how for children have ability to perform any one of these two processes. Explain how these activities are at different levels of ability.



A triangular shaped stack of tin cans has 8 cans in the first row and 8 rows in all. In each successive row one can is removed.

What is the explicit rule for this situation, and how many cans will be in the5th

row?

Drag and drop the answers into the boxes to match the situation.

Explicit rule

Number of cans in the 5th

 row

a

n

=9−n

a

n

=8−n

a

n

=8−8n

a

n

=9−9n

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