Bellringer for Thursday, August 22nd

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: 40 times the cost per square foot equals 200 40 x f = 200 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 254.6 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 312.8 miles the first day, 177.2 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 • Ex: 64

17. Irrational Numbers • Numbers that cannot be expressed as terminating or repeating decimals • Ex: 1.73205….. • Think of another example of an irrational number

18. Real Numbers http://www.youtube.com/watch?v=m94WTZP14SA

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