Mathematics - Term 2 - Week 3

Fractions represent parts of a whole. For example, if we have a pizza divided 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, while the bottom number (denominator) shows how many equal parts the whole is divided into. We can also represent fractions using visual models like pie charts or bar models.

Decimals are another way to represent fractions, particularly those with denominators of 10 or 100. For instance, 0.5 is the same as 1/2, and 0.25 is the same as 1/4. Decimals can be visualized using base ten blocks or number lines, helping students understand the relationship between fractions and decimals.

If we have a chocolate bar divided into 8 pieces and we eat 3 pieces, we can express this as a fraction: 3/8. To visualize this, we can draw a rectangle and shade in 3 out of the 8 equal parts. This helps us see how much of the chocolate bar is left.

Consider the fraction 1/10. This can be represented as the decimal 0.1. If we have a number line from 0 to 1, we can mark 0.1 as the first point after 0. This shows how decimals can represent parts of a whole in a different format.

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 or simplified to 1/3). Discuss how we can simplify fractions and why it's important.

Now, let’s convert some fractions to decimals. If we take the fraction 3/4, how can we express this as a decimal? (Answer: 0.75). We can use division to find this: 3 divided by 4 equals 0.75. Let’s practice a few more together.

Now it's your turn! Solve the following problems on your own: 1) What fraction is represented by 5 shaded parts out of 10? 2) Convert 2/5 into a decimal. 3) If you have 3/8 of a cake left, how much is that in decimal form? Remember to show your working clearly!

After you finish, we will review some common mistakes. For example, if someone wrote 1/2 as 0.2 instead of 0.5, we will discuss why this is incorrect and how to avoid such errors in the future.

• 0.2
• 0.5
• 0.25
• 1.0

Answer: 0.5

1/2 is equal to 0.5 when converted to decimal.

• 0.75
• 0.25
• 0.5
• 1.0

Answer: 0.75

3/4 is equivalent to 0.75 in decimal form.

Answer: 4/10 or 2/5

The fraction can be simplified to 2/5.

• 3/8
• 5/8
• 1/8
• 4/8

Answer: 5/8

If 3 slices are eaten, 5 slices remain, which is 5/8 of the pizza.

Answer: 0.2

1 divided by 5 equals 0.2.

• 0.2
• 0.5
• 0.1
• 0.25

Answer: 0.2

2/10 simplifies to 0.2 in decimal form.

• 1/2
• 3/4
• 1/4
• 2/4

Answer: 3/4

0.75 is equal to the fraction 3/4.

Answer: 0.75

6 divided by 8 equals 0.75.