2.1 Common fractions with different denominators and numerators

Mathematics

Grade 4

Numbers, feactions, decimals and number patterns

Module 7

Common fractions with different denominators and numerators

Activity 1:

To recognise common fractions with different denominators and numerators [LO 1.3]

When we break whole things into equal parts, we obtain fractions. Fractions are parts of wholes.

1. Read the following and fill in any missing number of parts:

2. Name the parts or COMMON FRACTIONS into which each bar has been divided:

Example:

It has been divided into quarters.

2.1

It has been divided into

2.2

It has been divided into

2.3

It has been divided into

2.4

It has been divided into

2.5

It has been divided into

2.6

It has been divided into

TEST YOUR SKILL (Exercises 1 and 2 above)

1.

1.1 Divide the circle into two halves:

1.2 Divide it into halves another way:

1.3 In how many different ways can a circle be divided in half?

2.

2.1 Divide the rectangle into 3 thirds

2.2 Divide it into thirds another way:

2.3 How many equal parts are there if something has been divided into thirds?

3. How many equal parts are there in each of the following diagrams and what are the parts called?

3.1 parts; called

3.2 parts; called

4. Now shade in one half of 3.1 on the previous page, and one third of 3.2. Which is bigger: one half or one third?

5. Now look at the two bars below. The top bar shows because

there are equal parts.

The bar below it shows because there are equal parts.

3. HANDS ON! INDIVIDUAL WORK: RECOGNISING AND REPRESENTING NUMERATORS

• The work on this page is for cutting out and folding. In this module you have a separate page containing shapes. Cut out all the shapes and follow the instructions below:

3.1 Cut out the triangle on your extra page. Fold it in half. Now open it out. Draw dotted lines on the fold. The dotted lines divide the triangle into two equal parts, or halves. Colour in one half. Now paste your cutout on top of the triangle printed below. Name the part that you coloured in.

3.2 Cut out the circle on your extra copy. Fold it in half. Fold it in half again. Now open out the circle. Draw dotted lines on the folds. The dotted lines should divide the circle into four equal parts, quarters. Shade in three of them. Now paste your cutout on top of the circle printed below. Name the part that you coloured in.

3.3 Has this circle been divided into quarters?

Your answer:

3.4 Cut out the rectangle. Fold it to make thirds. Now open it out. Draw dotted lines on the folds. The dotted lines should divide the rectangle into thirds. Shade in two of them. Do the same with the second rectangle, but try to fold it to make sixths. Also shade in two of them. Now paste your cutout on top of the rectangles printed below. Name the parts that you coloured in.

3.5 Cut out the bar. Fold it to make eighths. Now open it out. Draw dotted lines on the folds. The dotted lines should divide the bar into eight equal parts. Check that this is correct. Shade in two of them. Do the same with the second bar but fold it to make quarters. Also shade in two of them. Now paste your cutout on top of the bars printed below. Name the parts that you coloured in.