Investigating Patterns

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

Can you identify the pattern?Side Length 1 2 3 4 s

Perimeter 4 8 12 16 ?

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

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

Making a table

• If you make a table it can help to see a pattern in the numbers

Shape Number

1 2 3 4 5 6 n

Perimeter 3 4 5 6 7 8 ?

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

Concept Map Patterns

Evaluate the Expression

• When x = 3 and y = 30• X + y• Xy• y/x