1. Investigating Patterns

2. Vocabulary Variable- a letter used to represent one or more numbers Variable Expression- an expression that contains variables, numbers and operations Evaluate- to find the value Substitute-to replace a variable with a number

3. Can you identify the pattern? Side Length1234s Perimeter481216?

4. Real World (ish) A car is traveling at an average speed of 45 miles per hour write an expression for the distance traveled in h hours

5. Example 2 A row of triangles is built with tooth picks. Write a variable expression for the perimeter of Shape n. Start by drawing a few more figures in the pattern

6. Making a table If you make a table it can help to see a pattern in the numbers Shape Number 123456n Perimeter345678?

7. Some examples A.) the Jackson’s rent an apartment for $500 a month. How much rent do they pay for 6 months? 12 months? Show an equation for n months B.) There are 24 hours in a day. How many hours are in 7 days? 365 days? What is an equation for d days C.) You pay for some groceries with a $20 bill. If you buy $18 for groceries how much change do you get? $16.95 what is an equation

8. Concept Map Patterns

9. Evaluate the Expression When x = 3 and y = 30 X + y Xy y/x