Mathematics - Term 3 - Week 1

Fractions represent parts of a whole. For example, if we divide a pizza into 4 equal slices and take 1 slice, we have 1/4 of the pizza. The top number (numerator) tells us how many parts we have, while the bottom number (denominator) tells us how many equal parts the whole is divided into. We can also represent fractions visually using shapes or objects.

Decimals are another way to represent fractions, especially those with denominators of 10 or 100. For instance, 1/10 can be written as 0.1, and 1/100 can be written as 0.01. Decimals are useful for measuring and can be represented on a number line. Understanding the relationship between fractions and decimals is key to mastering both concepts.

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

Consider the fraction 3/10. This can be converted to a decimal by dividing the numerator by the denominator. So, 3 divided by 10 equals 0.3. We can represent this on a number line, showing that 0.3 is between 0 and 0.4.

Let's practice identifying fractions together. I will show you a circle divided into 6 equal parts. If I shade 2 parts, what fraction do we have? (Pause for responses.) Yes, we have 2/6. Now, can anyone simplify this fraction? (Guide students to realize that 2/6 simplifies to 1/3.)

Now, let's convert the fraction 4/10 into a decimal. Who can tell me what 4 divided by 10 is? (Encourage students to think about the division.) That's right! It equals 0.4. Let's write this down and 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 12? 2) Convert the fraction 7/100 into a decimal. 3) If you have 3/4 of a cake and you eat 1/4, how much cake is left? Show your working clearly.

Once you finish, swap your work with a partner. Check each other's answers and look for any mistakes. Discuss how you can correct them. Remember, it's okay to make mistakes as long as we learn from them!

• 3/5
• 5/3
• 1/5
• 4/5

Answer: 3/5

The fraction is formed by placing the number of shaded parts over the total parts.

• 1/4
• 1/2
• 3/4
• 1/10

Answer: 1/4

0.25 is equivalent to the fraction 1/4.

Answer: 0.4

Dividing 2 by 5 gives us 0.4.

• 6/10
• 10/6
• 3/5
• 1/6

Answer: 6/10

The fraction is formed by placing the shaded parts over the total parts.

Answer: 2/8 or 1/4

3/8 - 1/8 = 2/8, which simplifies to 1/4.

• 0.7
• 0.07
• 1.7
• 0.17

Answer: 0.7

7 divided by 10 equals 0.7.

Answer: 1/2

4/8 simplifies to 1/2.

• 1/2
• 1/5
• 2/5
• 5/10

Answer: 1/2

0.5 is equivalent to the fraction 1/2.