Algebra Answers

Fifteen dogs are three seventeen of the number of dogs certain living area. How many dogs in total are there in the living area?

What is the ratio of 12%

The exercise is based on your understanding of the fraction concept.

a. Draw a wall clock on the shape of a regular hexagon.

b. Show ( illustrate) what fractions of the clock 40 minutes is

C. Explain what fraction of the hexagon shaped clock, 25 minutes is

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

Explain to a grade 4 class why pencils on the table are 3/10 of the pencils, not 3/7

Solve for z if

(z−2)2+16=0.

11 A learner in your class says that the of the underlined digit in 12 678 is 2. How will you help the learner to overcome this misconception? (2)

12 What does partitioning mean? Explain and illustrate your answer. (3)

13 In the context of choosing a "whole", explain when a "quarter" is not always equal to a "quarter". Give an example. (2)

14 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? (4)

6.2 Use the factor tree to determine the prime factors of 135. (3)

7 Use the vertical and horizontal algorithms to find the sum or difference of the following. (Explain the "borrow and carry" concepts.)

a) 587 +620

b) 749 − 568 (2)

8 How do standard algorithms differ from student-invented strategies? Explain the benefits of invented strategies over standard algorithms (give at least two valid points). (4)

9 Draw pictures showing how 39 × 6 could be modelled with base-10 blocks or with areas on base-10 grids. (Use at least two of the methods.) (3)

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

1 Name three phase learning format and explain each.

2.How can a learner learn to wtrite two_digit in a way that is connected to the base 10 meaning of ones and tens.

3. Difine number and numeral and provide examples for each.

4. Draw Dienes to show how to find the splution to:

a) 56+48

b) 90_36

5. Test the following numbers for divisibility by 6,9 and 11( do not divide or factorise.)

a) 6 184 046

b) 21 589 434