Mathematics - Term 3 - Week 1

Fractions represent parts of a whole. For example, if we have a pizza cut into 4 equal slices and we take 1 slice, we have 1/4 of the pizza. The top number (numerator) shows how many parts we have, and the bottom number (denominator) shows how many equal parts the whole is divided into.

Decimals are another way to show fractions. For instance, 1/2 can also be written as 0.5. This means that if we divide something into 10 equal parts, taking 5 of those parts gives us half, or 0.5. Decimals are useful for measuring and can be found in everyday situations like money.

If we have a chocolate bar divided into 8 pieces and we eat 3 pieces, we can express this as a fraction: 3/8. This means we have taken 3 out of the 8 total pieces. We can visualize this by drawing the chocolate bar and shading in the 3 pieces we ate.

Consider the fraction 1/4. To convert this to a decimal, we can think of it as 0.25. This means that if we have 100 cents, 25 cents is one-fourth of that amount. We can use a number line to show where 0.25 falls between 0 and 1.

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 do we have? (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 3/10, how can we write this as a decimal? (Answer: 0.3). We can use a visual model, like a ten-frame, to help us see how 3 out of 10 parts looks.

Now it's your turn to solve some problems on your own. Draw a rectangle and divide it into 4 equal parts. Shade 1 part and write the fraction. Next, if you have 5/10, convert it to a decimal. Remember to show your working clearly!

Complete the following: If you have 7/100, what is the decimal equivalent? (Answer: 0.07). Write down your answer and explain how you got it. Use a number line if it helps!

• 3/5
• 5/3
• 1/5
• 2/5

Answer: 3/5

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

• 0.2
• 0.5
• 0.25
• 1.0

Answer: 0.5

1/2 is equal to 0.5 when expressed as a decimal.

Answer: 5/8

If 3 slices are eaten, 5 slices remain, so the fraction left is 5/8.

• 0.4
• 0.04
• 0.14
• 1.4

Answer: 0.4

4/10 is equal to 0.4 when converted to decimal.

Answer: 0.75

3/4 is equal to 0.75 in decimal form.

• 1/2
• 3/4
• 2/3
• 4/2

Answer: 1/2

2/4 simplifies to 1/2.

Answer: 0.6

6/10 is equal to 0.6 when expressed as a decimal.

• 1/3
• 3/1
• 1/2
• 2/1

Answer: 1/3

1/3 means 1 part out of a total of 3 parts.