Minds On

Patterns in the world

The following pattern appeared in the local grocery store produce section on the weekend:

One apple, two bananas, three peaches, one orange, one apple, two bananas

What is the core (the part that repeats)?

What is the pattern rule?

Fill in the blank about your pattern.

The pattern rule is (Blank).

I predict that (Blank) will be next.

There is an orange in the 14th spot. I predict there will be a (Blank) in the 17th spot.

Action

Task 1: Equivalent patterns

Equivalent patterns are patterns that have the same repeating pattern. For example, AB or ABB.

Select the correct equivalent pattern for each original pattern, then press 'Check Answer' to see how you did.

Task 2

Match the patterns with the pattern rules.

Create a pattern that increases by 3 each time.

(Blank), (Blank), (Blank), (Blank), (Blank)

Draw a shape pattern that follows the ABB pattern.

(Blank), (Blank), (Blank), (Blank), (Blank)

Record your patterns in a notebook or a method of your choice.

Task 3

Predict the next shape, the 13th shape, and what shape will be in the 20th place, a far prediction.

Pattern A = star, star, star, heart, star, star, star, heart...

star, star, star, heart, star, star, star, heart

Pattern B = star, heart, star, star, heart, star, star, star, heart.....

star, heart, star, star, heart, star, star, star, heart

Pattern C = star, star, star, star, heart, heart, star, star, star, heart, heart......

star, star, star, star, heart, heart, star, star, star, heart, heart

What strategies did you use to make your predictions?

How can you know if your predictions are correct?

Consolidation

Fill in the blanks

Examine the following patterns.

For each pattern, fill in the blanks.

Record your pattern statements in a notebook or a method of your choice.

Pattern 1

1 square, 2 squares, 3 squares, 5 squares, 6 squares

The pattern rule is (Blank).

This pattern is wrong because (Blank).

To fix the pattern, I could (Blank).

I predict that (Blank) will be next.

Pattern 2

1 square; 3 squares arranged in 2 columns with 1 square in the first column and 2 squares on top of each other in the second column; 7 squares arranged in 3 columns with 1 square in the first column, 2 squares on top of each other in the second column, and 4 squares on top of each other in the third column; 15 squares arranged in 5 columns with 1 square in the first column, 2 squares on top of each other in the second column, 3 squares on top of each other in the third column, 4 squares on top of each other in the fourth column, and 5 squares on top of each other in the fifth column.

The pattern rule is (Blank).

This pattern is wrong because (Blank).

To fix the pattern, I could (Blank).

I predict that (Blank) will be next.

Pattern 3

16, 26, 36, 46, 66, 76, 86.

The pattern rule is (Blank).

This pattern is wrong because (Blank).

To fix the pattern, I could (Blank).

I predict that (Blank) will be next.

Reflection

How do you feel about what you have learned in this activity?  Which of the next 4 sentences best matches how you are feeling about your learning? Press the button that is beside this sentence.

I feel...

Now, record your ideas about your feelings using a voice recorder, speech-to-text, or writing tool.