Note for next year: HW is slightly harder than CW because starts at step 1 instead of step 0.

Math 1 Warm Up

1. What is something that you are proud of doing well this week?

2. What questions do you still have about the growing dots pattern?

Guided Notes: __________________________________________________ | Date: _______

Important Vocab: When a sequence has a _____________

_______________ between consecutive terms, it is called an

_____________________ _____________________.

Name: ______________________________________________________ Date: ______ Period: ______

Homework #3: Finding and Showing Patterns

In the pictures below, each square represents one tile.

1. Draw Step 4 and Step 5 in the sequence below.

2. Complete the table:Step Number

of Tiles1

2

3

4

50

51

52

3. Write an equation representing the number of tiles based on the step number. You may choose to write either an explicit equation or a recursive equation.

4. Explain why your equation is correct. ______________________________________________________

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5. Complete the table by looking for the pattern.

6. Draw a sequence of images to show the first three terms in the pattern above. For example, you could draw dots showing the value of the pattern for each term.

7. Complete the table by looking for the pattern.

8. How is this pattern different from the pattern in #1? ___________________________________________

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