Mathematics - Term 3 - Week 5

Patterns are sequences that repeat in a predictable way. They can be found in numbers, shapes, and even colors. For example, the sequence 2, 4, 6, 8 is a number pattern where each number increases by 2. In this lesson, we will explore how to identify these patterns and create our own using both numbers and shapes.

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 to the previous number. Now, can you see the rule? The rule is to add 3. You can also create a pattern by subtracting, like starting from 20 and subtracting 4: 20, 16, 12, 8, 4.

Now, let's practice identifying patterns. I will show you a sequence of shapes: circle, square, circle, square, circle. What comes next? Yes, it's a square! Now, let's try a number pattern: 10, 15, 20, __. What number should go in the blank? Correct, it's 25! Remember, we are adding 5 each time.

Now it's your turn to solve some problems on your own. Create a pattern using the numbers 1, 3, 5, __, __. Then, write down the rule you used. After that, try to solve this: If the pattern is 2, 4, 8, __, what is the next number? Show your working clearly so we can discuss it together.

• 10
• 12
• 15
• 18

Answer: 12

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

• 1, 2, 3, 4
• 2, 4, 6, 8
• 5, 10, 15, 20
• All of the above

Answer: All of the above

All options show a consistent pattern of increasing numbers.

Answer: 21, 28. The rule is to add 7.

The pattern adds 7 each time.

• A
• B
• C
• D

Answer: A

The pattern alternates between A and B.

Answer: 20

The pattern adds 5 each time.

• 1
• 4
• 5
• 10

Answer: 5

The pattern adds 3, and 5 does not fit.

• Add 2
• Add 3
• Subtract 2
• Subtract 3

Answer: Add 3

The pattern increases by 3 each time.

Answer: 12, 10, 8

The pattern subtracts 2 each time.