Patterns and algebra (T1 W9)
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Patterns are sequences that repeat in a predictable way. In mathematics, we can find patterns in numbers, shapes, and even colors. For example, the sequence 2, 4, 6, 8 is a number pattern where each number increases by 2. We can also create patterns using shapes, like a triangle, circle, triangle, circle. Recognizing these patterns helps us predict what comes next and is a fundamental skill in algebra.
Let's create a number pattern together. Start with the number 5 and add 3 each time. The pattern will be: 5, 8, 11, 14, 17. Notice how we keep adding 3 to the previous number. Now, if I ask you what comes next, you would say 20 because 17 + 3 = 20. This is how we can extend a pattern.
Now, let's work on a pattern together. Look at the sequence: 10, __, 14, 16. What number is missing? To find the missing number, we can see that the pattern increases by 2. So, if we subtract 2 from 14, we get 12. Therefore, the missing number is 12. Let's try another one: 3, 6, __, 12. What is the missing number here?
For your independent practice, I want you to create your own number pattern. Start with the number 1 and add 4 each time. Write down the first five numbers in your pattern. Then, draw a shape pattern using a square and a circle. Repeat the shapes three times and see if you can predict what comes next. Share your patterns with a partner and explain how you created them.
Answer: 8
The pattern increases by 2, so after 6, the next number is 8.
Answer: All of the above
All options show a repeating sequence, which is a pattern.
Answer: 10
The pattern increases by 5, so the missing number is 10.
Answer: 9
The pattern increases by 2, so after 7, the next number is 9.
Answer: 8
The pattern increases by 2, so after 6, the next number is 8.
Answer: 40
The pattern increases by 10, so after 30, the next number is 40.
Answer: Add 3 each time.
The rule is to add 3 to the previous number to continue the pattern.
Answer: 1, 2, 3
The sequence 1, 2, 3 does not repeat, so it is not a pattern.