Patterns and algebra (T4 W3)
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Patterns are sequences that follow a specific rule. They can be made using numbers, shapes, or colors. For example, a simple number pattern could be 2, 4, 6, 8, where each number increases by 2. In this lesson, we will explore how to identify these patterns and create our own. We will also discuss how patterns can be found in everyday life, such as in nature, art, and music.
Let's look at the pattern 5, 10, 15, __, __. To find the missing numbers, we need to identify the rule. Here, each number increases by 5. So, the next two numbers are 20 and 25. We can write this as: 5, 10, 15, 20, 25. This shows how we can extend a pattern by recognizing the rule.
Now, let's work together to identify a pattern. Look at the sequence: A, B, A, B, __. What comes next? The answer is A, because the pattern alternates between A and B. Let's try another one: 1, 3, 5, 7, __. What is the next number? The answer is 9, as we are adding 2 each time. Discuss with your partner how you found the answers.
Now it's your turn! Complete the following patterns on your own: 4, 8, 12, __, __. What are the next two numbers? Also, create your own pattern using shapes and share it with a friend. Remember to explain the rule you used to create your pattern.
Answer: 12
The pattern increases by 3 each time.
Answer: All of the above
All options show a sequence that follows a rule.
Answer: 8, 10
The pattern increases by 2 each time.
Answer: Add 10
Each number is increased by 10.
Answer: A
The pattern repeats every three letters.
Answer: 25
The pattern increases by 5 each time.
Answer: 4 is missing.
The pattern should increase by 1 each time.
Answer: 1, 2, 3
This sequence does not follow a consistent rule.