1. Warm-Up Change the following fractions to decimal numbers. 1.2/10 2.13/17 3.4/10 4.397/100 5.38/5 6.16/5

2. Comparing and Ordering Decimals When Will I Ever Do That???!!! Tuesday, February 1, 2011

3. Homework Due Today Find two equivalent ratios. 1. 25/60 ex: 5/12, 50/120 1. 25/60 ex: 5/12, 50/120 2.100/600 ex: 1/6, 2/12 2.100/600 ex: 1/6, 2/12 3.20/80 ex: ¼, 2/8, 40/160 3.20/80 ex: ¼, 2/8, 40/160

4. Homework Due Tomorrow Monarch TypeEggCaterpillarPupaButterfly Regular1215 Migrating12130 Length of Monarch’s Life Stages in Weeks 1. What fraction of a regular monarch’s life is spent as a butterfly? 2.What fraction of a migrating monarch’s life is spent as a butterfly?

5. 21 st Century Skills… Monarch Butterflies Monarch Butterflies Some monarchs migrate as far as 2000 miles. If a 2000 mile migration were to last for 3.5 months, what is the average distance the monarchs would fly in 1 day? ( Assume there are 30 days in a month) Some monarchs migrate as far as 2000 miles. If a 2000 mile migration were to last for 3.5 months, what is the average distance the monarchs would fly in 1 day? ( Assume there are 30 days in a month)

6. McDonald’s Menu…. I’m Lovin It!! Double Cheeseburger: $.99 Double Cheeseburger: $.99 Big Mac Value Meal: $ 4.79 Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80 Chicken McNuggetts Meal: $ 3.80 Small Drink: $.99 Small Drink: $.99 McFlurry: $ 1.97 McFlurry: $ 1.97 Salad: $ 4.80 Salad: $ 4.80 2 Cheeseburger Meal: $ 3.70 2 Cheeseburger Meal: $ 3.70 Ice Cream Cone: $.87 Ice Cream Cone: $.87

7. Order Up! Least Expensive to Most Expensive Ice Cream Cone.87 Ice Cream Cone.87 Double Cheeseburger:.99 Double Cheeseburger:.99 Small Soft Drink:.99 Small Soft Drink:.99 McFlurry: 1.97 McFlurry: 1.97 2 Cheeseburger Meal: 3.70 2 Cheeseburger Meal: 3.70 Chicken McNuggetts Meal: 3.80 Chicken McNuggetts Meal: 3.80 Big Mac Value Meal: 4.79 Big Mac Value Meal: 4.79 Chicken Salad: 4.80 Chicken Salad: 4.80

8. What Do I Mean Compare Decimals? When we compare we use terms such as: When we compare we use terms such as: Less than < Less than < Greater than > Greater than > Equal to = Equal to = Comparing decimals is similar to comparing whole numbers. Comparing decimals is similar to comparing whole numbers. 45<47 45<47 150>105 150>105 When we compare decimals we use place value or a number line. When we compare decimals we use place value or a number line.

9. Place Value 1,0001001010.10.010.0010.0001

10. Compare Sara’s score with Danny’s score. Compare Sara’s score with Danny’s score. 1. Line Up Decimal Points Sara: 42.1 Danny: 42.5 2. Start at the left and find the first place where the digits differ. Compare the digits 1<5 42.1<42.5 This means Sara’s score was lower than Danny’s score. Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob46.1 Half pipe Results

11. Let’s Try Using A Number Line Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob46.1 42.042.142.5 Numbers to the right are greater than numbers to the left. Since 42.5 is to the right of 42.1 we have: 42.5>42.1

12. Equivalent Decimals Decimals that name the same number are called equivalent decimals. Decimals that name the same number are called equivalent decimals. 0.60 and 0.6 0.60 and 0.6 Are these the same??? Are these the same???

13. 0.600.6 =

14. Annexing Zeros This means placing a zero to the right of the last digit in a decimal. This means placing a zero to the right of the last digit in a decimal. 0.6 0.60 0.6 0.60 Although we added a zero, the value of the decimal did not change!! Although we added a zero, the value of the decimal did not change!! Annexing or adding zeros is useful when ordering a group of decimals. Annexing or adding zeros is useful when ordering a group of decimals.

15. Ordering Decimals We can order decimals from least to greatest or we can order from greatest to least. We can order decimals from least to greatest or we can order from greatest to least. Let’s try an example: Let’s try an example: Order 15, 14.95, 15.8, and 15.01 from least to greatest Order 15, 14.95, 15.8, and 15.01 from least to greatest

16. First, line up the decimal points First, line up the decimal points 15 15 14.95 14.95 15.8 15.8 15.01 15.01 15, 14.95, 15.8, 15.01

17. Next, annex zeros so that each number has the same number of decimal places Next, annex zeros so that each number has the same number of decimal places 15.00 15.00 14.95 14.95 15.80 15.80 15.01 15.01

18. 15, 14.95, 15.8, 15.01 Finally, use place value to compare the decimals. Always start from the left!! Finally, use place value to compare the decimals. Always start from the left!! 15.00 15.00 14.95 14.95 15.80 15.80 15.01 15.01 14.95, 15, 15.01, 15.8 14.95, 15, 15.01, 15.8

19. One More Example Order these numbers from greatest to least Order these numbers from greatest to least 35.06, 35.7, 35.5, 35.849 35.06, 35.7, 35.5, 35.849

20. Ordering Negative numbers… You can also order negative numbers. The more negative a number, the smaller it’s value. EXAMPLE: -10 is smaller than -5 EXAMPLE: -0.6 is smaller than -0.4 Lets try one: Order the following negative numbers: -5.4, -7, -4, -1.5 -6, and -5.5

21. MINI-LESSON: Square roots Cube Roots

22. Ordering Radicals… You can also order radicals: Example: is greater than 1.25 Example: is less than 1.85 Lets try one: Order the following numbers: -2,, 3, 2.5, -0.5

23. Ordering fractions… To order fractions it is best to practice estimating, drawing pictures sometimes helps: Example: 5/7 is greater than 1/2 Example 1/3 is less than 1/2 Lets try: 13/7, 1/2, 3/4, 3/8, 11/10

24. Ordering Activity Each group will be given several pieces of paper with fractions, decimals, percents, and radicals on them. Each group will construct a number line and place the numbers in their correct locations on the number line.

25. Exit Ticket: Place the following numbers in order from greatest to least. 1. 1. 0.75, 0.615, 0.58, 0.195 2. 2. -1, 1/2, -0.32, 3/4 Place the following numbers in order from least to greatest. 3. 3. -5, -, 0, 3.3, 0.06, 4. 4. -3/4,, 0.5, 2/5, -1/8