Mathematics - Term 1 - Week 5

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. We can also represent fractions using visual models, such as pie charts or bar models. Decimals, on the other hand, are another way to express fractions. For instance, 1/4 can also be written as 0.25. Understanding the relationship between fractions and decimals is crucial for solving problems.

Decimals are used to represent numbers that are not whole. For example, if we have 0.5, it means we have half of something. We can also think of decimals as fractions with a denominator of 10, 100, or 1000. For example, 0.75 is the same as 75/100. Visual models, such as grids or number lines, can help us understand how decimals relate to fractions.

If we have a chocolate bar divided into 8 equal 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 8 parts. This helps us see how much of the chocolate bar we have eaten.

Let's convert the fraction 1/2 to a decimal. We can divide 1 by 2, which gives us 0.5. To visualize this, we can use a number line and mark the point halfway between 0 and 1. This shows that 1/2 is the same as 0.5.

Let's look at a circle divided into 6 equal parts. If we shade 2 parts, what fraction do we have? Students will respond with 2/6. Now, let's simplify this fraction. Can anyone tell me what 2/6 simplifies to? That's right, it simplifies to 1/3! We can also represent this as a decimal by dividing 1 by 3, which gives us approximately 0.33.

Now, let's practice converting fractions to decimals. If we have 3/4, how can we express this as a decimal? Students will divide 3 by 4, which equals 0.75. We can visualize this using a bar model, showing that 3 out of 4 parts are filled.

Now it's your turn! Solve the following problems on your own: 1) What fraction is represented by 5 shaded parts of a 10-part circle? 2) Convert 2/5 to a decimal. 3) If you eat 1/3 of a cake, how much is left? Show your working clearly. Remember to check your answers and correct any mistakes!

• 3/5
• 5/3
• 1/5
• 2/5

Answer: 3/5

The fraction 3/5 indicates that 3 parts are taken from a total of 5 equal parts.

• 1/2
• 1/4
• 3/4
• 2/4

Answer: 1/4

0.25 is equivalent to the fraction 1/4.

Answer: 0.4

Dividing 4 by 10 gives us 0.4.

• 1/3
• 2/3
• 3/3
• 0/3

Answer: 1/3

If you have 2/3, then 1/3 of the pizza is left.

Answer: 0.5

1 divided by 2 equals 0.5.

• 3/4
• 1/4
• 2/4
• 1/2

Answer: 3/4

0.75 is equivalent to the fraction 3/4.

Answer: 4/8

You have shaded 4 out of a total of 8 parts, which is represented as 4/8.

• 0.3
• 0.03
• 0.33
• 0.5

Answer: 0.3

3 divided by 10 equals 0.3.