Patterns and algebra (T2 W7)
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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 of numbers 2, 4, 6, 8 is a pattern where each number increases by 2. Today, we will explore how to identify these patterns and create our own using different objects and numbers.
Let's create a number pattern together. Start with the number 1. If we add 3 each time, we get: 1, 4, 7, 10. Notice how each number is 3 more than the previous one. This is a growing pattern. Now, let's write down the next three numbers in this pattern. They are 13, 16, and 19. Can you see how the pattern continues?
Now it's your turn! Look at the following sequence: red, blue, red, blue, ___. What color comes next? Discuss with your partner. After that, let's try a number pattern: 5, 10, 15, ___. What number should come next? Remember, we are adding 5 each time. Share your answers with the class.
For your independent practice, create your own pattern using shapes. You can use circles, squares, and triangles. Draw at least five shapes in a row, and then write down what comes next in your pattern. After that, write a short explanation of how you created your pattern. Be ready to share your pattern with the class!
Answer: 8
The pattern increases by 2 each time.
Answer: Circle, Square, Circle, Square
This pattern repeats the same two shapes.
Answer: 3, 6, 9, 12
Each number increases by 3.
Answer: Triangle
The pattern alternates between Triangle and Circle.
Answer: A sequence that repeats in a predictable way.
Patterns can be found in numbers, shapes, and colors.
Answer: 9
The pattern increases by 2 each time.
Answer: Circle and Square
You can use any shapes to create patterns.
Answer: 1, 2, 3, 4
This is a sequence but not a repeating pattern.