1. Bellringer for Thursday, August 22nd
Solve this problem in your notes:
Ling’s Hallway is 10 feet long and 4 feet wide. He paid $200 to tile his hallway floor. How much did Ling pay per square foot for the tile?

2. Review Lesson 1 (Lesson 0-1)
Plan for Problem Solving

3. What steps did you take in solving the bellringer?

4. Four-Step Problem-Solving Plan
Understand the problem
Plan the solution
Solve the Problem
Check the Solution

5. 1. Understand the Problem
Read the problem carefully and explore what the problem is about
Identify what information is given. (Underline)
Identify what you need to find. (Circle)
Ling’s Hallway is 10 feet long and 4 feet wide. He paid $200 to tile his hallway floor. How much did Ling pay per square foot for the tile?

6. 2. Plan the Solution Write an equation
Chose a variable to represent one of the unspecified numbers in the problem
This is called defining a variable
Ex: times the cost per square foot equals
x f =
Ling’s Hallway is 10 feet long and 4 feet wide. He paid $200 to tile his hallway floor. How much did Ling pay per square foot for the tile?

7. 3. Solve the Problem
Use the strategy you chose in Step 2 to solve the problem.
Ex: 40 x f = 200
“What number times 40 is 200?”
f = 5
The tile cost $5 per square foot

8. 4. Check the Solution Does your answer make sense?
Estimate to see if you got an answer that is close
Does it fit the information in the problem?
Ex: If the tile costs $5 per square foot, then 40 square feet of tile costs 5 x 40 or $200. The answer makes sense.

9. Example #2
Emily’s family drove miles. Their car used 19 gallons of gasoline. Describe the car’s gas mileage. Understand: Given- Asked- Plan: Solve: Check:

10. Example #3
While on vacation, the Jacobson family drove miles the first day, miles the second day, and 209 miles the third day. About how many miles did they travel in all?
Understand:
Given-
Asked-
Plan:
Solve:
Check:

11. Any Questions??

12. Lesson 0-2
Real Numbers

13. Vocab Positive numbers: values greater than 0
1, 2, 3, 4,….
Negative numbers: values less than 0
-1, -2, -3, -4,…

14. Vocab Natural numbers: 1, 2, 3, … Whole numbers: 0, 1, 2, 3, …
Integers: …, -3, -2, -1, 0, 1, 2, 3, …

15. Classify these numbers
Name the set or sets of numbers to which each real number belongs.
Ex: 4
Natural Whole Integer
Ex: -5
Natural Whole Integer
Ex: 0
Natural Whole Integer

16. Rational Numbers
Numbers that can be expressed in the form a/b, where a and b are both integers and b does not equal 0
Square root: one of two equal factors of a number
Ex: 64
Perfect Square: the square roots are rational numbers

17. Irrational Numbers
Numbers that cannot be expressed as terminating or repeating decimals
Ex: …..
Think of another example of an irrational number

18. Real Numbers

19. Classification Activity

20. Classify Real Numbers
Name the set or sets of numbers to which each real number belongs

21. Vocab
Graph: draw, or plot, the points named by those numbers on a number line
Coordinate: the number that corresponds to a point on a number line is called the coordinate of that point

22. Graph and Order Real Numbers
Graph each set of numbers on a number line. Then order the numbers from least to greatest.

25. Write Repeating Decimals as Fractions

26. Simplify Roots

27. Estimate Roots