Patterns and algebra (T4 W3)
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Patterns are sequences that repeat in a predictable way. They can be found in colors, shapes, and numbers. For example, a color pattern could be red, blue, red, blue. In this lesson, we will explore how to identify and create our own patterns using different objects and numbers.
Let's look at the number pattern: 2, 4, 6, __, __. Here, we can see that each number increases by 2. To find the missing numbers, we can add 2 to the last number. So, the next numbers are 8 and 10. This shows how we can create a number pattern by adding the same amount each time.
Now, let's practice together. I will show you a series of shapes: circle, square, circle, square, __. What comes next? (Students will respond with 'circle'). Great! Now, let's try a number pattern: 1, 3, 5, __, __. Can anyone tell me the next two numbers? (Students will respond with '7' and '9'). Excellent work!
For independent practice, I want you to create your own patterns using colored blocks. Use at least three colors and make a pattern that repeats. After you create your pattern, write down the sequence of colors you used. Then, share your pattern with a partner and see if they can identify it!
Answer: red
The pattern alternates between red and blue, so the next color is red.
Answer: circle, square, circle, square
This sequence repeats in a predictable way, making it a pattern.
Answer: 15, 20
The pattern increases by 5 each time.
Answer: 8
The pattern increases by 2, so the next number is 8.
Answer: A sequence that repeats in a predictable way.
Patterns can be made with colors, shapes, or numbers.
Answer: 1, 2, 3, 4
This sequence does not repeat; it is a counting sequence.
Answer: 4, 4
The pattern can be created by repeating the number 4.
Answer: 8
This is a Fibonacci pattern where each number is the sum of the two preceding ones.