Mathematics - Term 2 - Week 3

Fractions represent parts of a whole. When we divide something into equal parts, each part is a fraction of the whole. For example, if we have a pizza cut into 4 equal slices, each slice is 1/4 of the pizza. We can also represent fractions using visual models, like pie charts or fraction bars, to help us understand how much of the whole we have.

Decimals are another way to represent fractions, especially when we deal with parts smaller than one whole. For example, 0.5 is the decimal representation of 1/2. We can think of decimals as a way to show parts of ten. Just like fractions, decimals can be shown using visual models, such as number lines or grids.

If we have a chocolate bar divided into 8 equal pieces and we eat 3 pieces, we can represent this as a fraction: 3/8. This means we have eaten 3 out of the 8 total pieces. We can draw a picture of the chocolate bar to visualize this fraction.

If we have a jar with 10 marbles and we take out 4 marbles, we can say we have 0.4 of the jar's marbles left. This is because 4 out of 10 is the same as 0.4. We can use a number line to show this relationship visually.

Let's practice identifying fractions together. I will show you a picture of a circle divided into 6 equal parts. If 2 parts are shaded, what fraction of the circle is shaded? (Answer: 2/6). Now, let's simplify this fraction. Can anyone tell me what 2/6 simplifies to? (Answer: 1/3).

Now, let’s convert some fractions to decimals. If we have 1/4, how can we express this as a decimal? (Answer: 0.25). We can use a grid to show that 1 out of 4 equal parts is 0.25 of the whole.

Now it's your turn! Solve the following problems on your own: 1. If you have 5/10 of a cake left, what is that as a decimal? (Answer: 0.5). 2. Draw a picture to show 3/4 of a pizza. 3. If you have 2/5 of a chocolate bar, how much is that in decimal form? (Answer: 0.4). Remember to show your working!

• 3/5
• 5/3
• 1/5
• 2/5

Answer: 3/5

3/5 means 3 parts out of a total of 5 equal parts.

• 0.5
• 0.25
• 0.75
• 1.0

Answer: 0.5

1/2 is equal to 0.5 in decimal form.

Answer: 1/2

4/8 can be simplified by dividing both the numerator and denominator by 4.

• 0.6
• 0.4
• 0.8
• 0.5

Answer: 0.6

6/10 is equal to 0.6 when converted to decimal.

Answer: A circle divided into 3 equal parts with 1 part shaded.

The drawing should show one part of a circle that is divided into three equal sections.

• 1/4
• 1/2
• 3/4
• 2/4

Answer: 1/4

0.25 is equivalent to 1/4.

Answer: 0.6

3/5 can be converted to decimal by dividing 3 by 5.

• 1/2
• 1/4
• They are equal
• Cannot be determined

Answer: 1/2

1/2 is larger than 1/4 because it represents more of the whole.