Mathematics - Term 1 - Week 9

Patterns are sequences that follow a specific rule. They can be numerical, such as 2, 4, 6, 8, or visual, like shapes arranged in a sequence. In this lesson, we will explore how to identify patterns and create our own. We will also discuss how patterns can be extended and how to find the rule that governs them.

Consider the pattern: 5, 10, 15, 20. The rule here is that we are adding 5 each time. To extend this pattern, we would continue with 25, 30, and so on. Let's write this rule: 'Start at 5 and add 5 repeatedly.' Now, let's look at a visual pattern: a triangle, square, triangle, square. The rule is alternating shapes.

Now, let's create a pattern as a class. I will start with the numbers 3, 6, 9. What do you think the next number will be? (Students respond.) Correct! The next number is 12. Can anyone tell me the rule? (Students respond.) Great! Now, let’s create a visual pattern using colors. If we start with red, blue, red, what comes next? (Students respond.) Excellent! Let's draw this pattern on the board.

Now it's your turn to practice independently. Solve the following problems in your math books: 1. What comes next in the pattern: 1, 4, 7, 10? 2. Create a visual pattern using three different shapes. 3. Write down the rule for the pattern: 2, 5, 8, 11. Make sure to show your working clearly!

• 10
• 12
• 14
• 16

Answer: 10

The pattern adds 2 each time, so after 8, the next number is 10.

• 1, 2, 3
• Circle, Square, Circle
• A, B, C
• 5, 10, 15

Answer: Circle, Square, Circle

Visual patterns involve shapes or colors arranged in a sequence.

Answer: Add 10 each time.

The rule is to add 10 to the previous number.

• 25
• 30
• 35
• 40

Answer: 25

The pattern adds 5 each time, so after 20, the next number is 25.

Answer: Triangle, Circle, Square, Triangle, Circle, Square...

This is an example of a repeating visual pattern.

• 1, 2, 3
• Red, Blue, Red
• 5, 10, 20
• A, A, B

Answer: 5, 10, 20

This sequence does not follow a consistent rule, as it doubles then adds.

Answer: 70

The rule is to subtract 10 each time.

• Add 2
• Add 3
• Subtract 3
• Multiply by 3

Answer: Add 3

The pattern adds 3 to each number to get the next.