Mathematics - Term 2 - Week 7

Patterns are sequences that follow a specific rule or design. In mathematics, we can find patterns in numbers, shapes, and even colors. For example, the sequence 2, 4, 6, 8 is a pattern where each number increases by 2. We can also create patterns using shapes, like a circle, square, circle, square. Recognizing these patterns helps us predict what comes next and is a foundational skill in algebra.

Let's create a number pattern together. Start with the number 5 and add 3 each time. The pattern will look like this: 5, 8, 11, 14, 17. Notice how we keep adding 3. Now, if I ask you what the next number is, you can confidently say it is 20 because we continue the pattern by adding 3 again. This is how we can use patterns to solve problems.

Now, let's practice identifying patterns. I will show you a sequence of shapes: triangle, triangle, square, triangle, triangle, square. What comes next? Discuss with your partner. You should notice that the pattern repeats every three shapes. The next shape will be a triangle. Patterns can be found in many forms, and recognizing them is key to understanding algebra.

For your independent practice, I want you to create your own number pattern. Start with the number 10 and subtract 2 each time. Write down the first five numbers in your pattern. After that, solve the following problems: What is the 4th number in your pattern? What would the 6th number be if you continued? Show your working clearly so we can review it together.

• 10
• 12
• 15
• 18

Answer: 12

The pattern increases by 3 each time, so 9 + 3 = 12.

• 1, 2, 3, 4
• A, B, C, D
• Circle, Square, Circle
• All of the above

Answer: All of the above

All options show a sequence that follows a rule.

Answer: 7, 12, 17

The pattern starts at 7 and adds 5 each time.

• 10
• 12
• 14
• 16

Answer: 10

The pattern increases by 2, so the 5th number is 10.

Answer: 8

The pattern is 1, 2, 4, 8.

• 1, 3, 5, 7
• 2, 4, 6, 8
• 5, 10, 15, 20
• 1, 2, 4, 8

Answer: 1, 2, 4, 8

This sequence doubles, which is not a consistent addition pattern.

Answer: red

The pattern alternates between red and blue.

• square
• circle
• triangle
• rectangle

Answer: square

The pattern alternates between square and circle.