Mathematics - Term 3 - Week 5

Patterns are sequences that follow a specific rule. They can be numerical, such as 2, 4, 6, 8, or visual, like a repeating color sequence. In this lesson, we will explore how to identify these patterns and create our own. We will also discuss the importance of recognizing patterns in everyday life, such as in nature, art, and music.

Let's look at the pattern: 5, 10, 15, 20. This pattern increases by 5 each time. To find the next number, we add 5 to 20, giving us 25. Now, let's create a similar pattern starting from 3 and increasing by 4. The pattern would be 3, 7, 11, 15, and the next number would be 19.

Now, let's work together to create a pattern. Start with the number 1 and add 3 each time. Write down the first five numbers in this pattern. After that, we will discuss how to represent this pattern visually using blocks or drawings. This will help us understand how patterns can be represented in different ways.

For independent practice, solve the following problems on your own. Remember to show your working clearly. 1. What is the next number in the pattern: 12, 15, 18, 21? 2. Create a pattern using the numbers 2, 5, and 8, and explain the rule you used. After completing these, review your answers and check for any mistakes.

• 14
• 16
• 20
• 24

Answer: 16

The pattern increases by 4 each time, so 12 + 4 = 16.

• 1, 2, 3, 4
• 2, 4, 6, 8
• 5, 10, 15, 25
• 3, 6, 9, 12, 15, 18

Answer: 2, 4, 6, 8

This pattern increases by 2 each time.

Answer: 10, 15, 20, 25

The pattern starts at 10 and adds 5 each time.

• Add 1
• Add 2
• Add 3
• Add 4

Answer: Add 2

The pattern increases by 2 each time.

Answer: 15

The pattern decreases by 5 each time.

• 1, 2, 3, 4
• 5, 10, 15, 20
• 2, 4, 8, 16
• 3, 6, 9, 12, 14

Answer: 3, 6, 9, 12, 14

This sequence does not follow a consistent rule.

Answer: I would repeat the sequence: 1, 2, 3, 1, 2, 3.

This creates a repeating pattern using the three numbers.

• 16
• 20
• 22
• 24

Answer: 20

The sequence is 7, 10, 13, 16, 19, so the fifth number is 20.