1. Numbers, Data, and Problem Solving
Lesson 1.1

2. Sets of Numbers Natural Numbers The whole numbers The integers
The counting numbers { 1, 2, 3, 4, … }
The whole numbers
The counting numbers with zero included { 0, 1, 2, 3, 4, … }
The integers
The whole numbers and their additive opposites, their negatives { , -4, -3, -2, -1, 0, 1, 2, 3, 4, … }

3. Note: these can be written as terminating or repeating decimals
Sets of Numbers
Rational numbers
Any number expressed as the quotient of two integers – and the denominator is NOT zero
Irrational numbers
Numbers that cannot be represented by quotient of two integers
Note: these can be written as terminating or repeating decimals

4. Try it Out … Classify the following numbers as Natural numbers
Whole numbers
Rationals
Irrationals

5. Calculating Percent Change
If a quantity changes from c1 to c2 the percent of change is given by:
Gasoline changed from $1.19 to $1.43 in one week's time … what was the percent of increase?

6. Calculating Percent Change
What if you are told the percentage of increase and the original value … now find the new value!
Enter the values you know
Solve for the value you don't know
What if gas was at $1.47 and went down by 12% a week later. What is the new price?
What kinds of numbers did we use in these calculations?

7. Problem Solving Important strategies …
Draw a sketch
Write formulas involved
Determine values in the formulas that you know
Solve for the values you are searching for
The Milky Way has a diameter of 6 x 1017 miles. If the speed of light is 186,000 miles/sec, how many years does it take for light to travel across the galaxy?

8. Assignment
Lesson 1.1
Page 10
Exercises 1 – 19 odd, 53 – 61 odd