Patterns and algebra (T3 W5)
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Patterns are sequences that repeat in a predictable way. In mathematics, we can find patterns in numbers, shapes, and colors. For example, a simple pattern could be red, blue, red, blue. We can also create number patterns, such as 2, 4, 6, 8, where each number increases by 2. Recognizing these patterns helps us understand relationships in math.
Let's create a number pattern together. Start with the number 5. If we add 3 each time, our pattern will be: 5, 8, 11, 14. Notice how we keep adding the same number, which is 3. This is a growing pattern. Now, let's write down the next three numbers in this pattern: 17, 20, 23. Patterns can also decrease, like starting from 10 and subtracting 2: 10, 8, 6, 4.
Now it's your turn! Look at the following sequence: 1, 3, 5, __, __. What numbers should go in the blanks? Discuss with your partner how you figured it out. Remember, we are adding 2 each time. The answers are 7 and 9. Let's try another one: 10, 8, 6, __, __. What comes next? Here, we are subtracting 2, so the answers are 4 and 2.
For your independent work, create your own number pattern. Start with the number 4 and decide if you want to add or subtract a number. Write down the first five numbers in your pattern. Then, draw a picture of a shape pattern using circles and squares. Share your patterns with the class and explain how you created them.
Answer: 8
We are adding 2 each time, so after 6 comes 8.
Answer: All of the above
All options show a repeating or consistent sequence.
Answer: Square
The pattern alternates between Circle and Square.
Answer: 7
We are subtracting 1 each time.
Answer: 12
We are adding 3 each time.
Answer: 20
We are adding 5 each time.
Answer: Add 3
Each number increases by 3.
Answer: Circle
The pattern alternates between Triangle and Circle.