1. Brain blitz/ warm-up Name:________________________________________________________________________________Date:_____/_____/__________ FractionDecimalPercent 0.02 0.5% 1) Convert in order to fill-in the missing parts: D to P: Move 2 to the right! P to D: Move 2 to the left! 0.4 =4% 40%40 2) Circle ALL of the choices that represent the following number: D to F: READ it, WRITE it, REDUCE it! F to D: Take the TOP #, Divide it by the BOTTOM #!

2. Today’s lesson... What: Comparing And ORDERING RATIONAL NUMBERS Why: To compare and order groups of fractions, decimals, percentages.

3. Comparing and Ordering Fractions, Decimals, and %’s STRATEGY #1: Convert everything into ____________ first! STRATEGY #2: Start with the __________ #’s, move onto the tenths, etc. decimals whole

4. When comparing decimal #’s... Start with the __________________________ place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words... 1) Compare the whole numbers. 2)If there is a “tie,” move on to the ______________________________. 3)If there is another “tie,” move on to the _______________________________. 4)If needed, keep moving on to the next place value digit(s). greatest tenths hundredths

5. Remember: CONVERT TO DECIMALS FIRST!!!! Guided practice: Place a greater-than (>), less-than (<), or equal (=) sign in the blanks: 1)0.023 _____ 0.6 2) 35% _____ 3.5 3) 2 / 5 _____ 40% <<= Comparing Fractions, Decimals, and %’s Your turn: Place a greater-than (>), less-than (<), or equal (=) sign in the blanks: 4) 4.5 _____ 45% 5) 1.5% _____ 0.0092 6) 3 / 8 _____ 0.4 > > <

6. Remember: CONVERT TO DECIMALS FIRST!!!! Comparing Fractions, Decimals, and %’s Guided practice: 1)Which of the following makes the statement true? 0.56 < __________ < 60% a) ½ b) ¾ c) 57.5% d) 75% 2)Which of the following makes the statement true? ¼ < __________ < 125% a) 12.5% b) 1.25 c) 5.5% d) 0.55

7. Remember: CONVERT TO DECIMALS FIRST!!!! Comparing Fractions, Decimals, and %’s YOUR TURN: 3) Which of the following makes the statement true? 0.7 < __________ < 75% a) ¾ b) 70% c) 0.73 d) 7.3 4) Which of the following makes the statement true? < __________ < 55% a) 20% b) 0.25 c) 0.025 d) 0.2 3) Which of the following makes the statement true? 0.7 < __________ < 75% a) ¾ b) 70% c) 0.73 d) 7.3 4) Which of the following makes the statement true? < __________ < 55% a) 20% b) 0.25 c) 0.025 d) 0.2

8. Put the following decimal numbers in ascending order: 1) 1.0251.250.0390.4 Answer: 2) 0.00550.20.0150.15 Answer: 0.039; 0.4; 1.025; 1.25 0.0055; 0.015; 0.15; 0.2 ORDERING Fractions, Decimals, and %’s Remember: Start with the whole #’s, move on to the tenths, etc.

9. Put the following numbers in ascending (least to great) order: STRATEGY: Convert everything into decimals first! # Frac.Decimal%Answer (List in Original Form): 1. 1/81/8 0.025513% 2.1¾1.7551.7% Decimal Version Decimal Version 1)0.0255 2) 1 / 8 3)13% 1)0.017 2)1 ¾ 3)1.755

10. 3.¼0.320% On Your own: Place the decimals from #3 (above) on the below number line: Hmmm. I wonder how this number line is divided?? 1)20% 2)¼ 3)0.3 Tenths of course!! 0.25 0.2 0.3

11. #Frac.Decimal%Answer (List in Original Form): 1. 2/52/5 0.4540.5% 2. 2/32/3 0.666% Put the following numbers in descending (greatest to least) order: 1)0.45 2)40.5% 3)2/5 1)2/3 2)66% 3)0.6

12. Word Problems: 1.Amanda, Bill, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2 / 5 miles, and Max ran 3.15 miles. Who ran the least amount of distance? Max ran the least amount of distance.

13. 2.At Simpson Middle School, the 6 th graders are absent 1 / 8 of the time, the 7 th graders are absent 0.1 of the time, and 8 th graders are absent 13.5% of the time. Which grade is absent the most? The 8 th graders are absent the most!

14. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

15. When comparing decimal #’s, start with the __________________________ place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words... 1)Compare the whole numbers. 2)If there is a “tie,” move on to the ______________________________. 3)If there is another “tie,” move on to the _________________________. 4)If needed, keep moving on to the next place value digit(s). STRATEGY #2: Start with the ___________ #’s, move onto the tenths, etc. Math-7 NOTES DATE: ______/_______/_______ What: comparing and ORDERING RATIONAL NUMBERS Why: To compare and order groups of fractions, decimals, and %’s. NAME: STRATEGY #1: Convert everything into ___________________ first!

16. Comparing Fractions, Decimals, and %’s Remember: CONVERT TO DECIMALS FIRST!!! Guided practice: Place a greater-than (>), less-than (<), or equal (=) sign in the blanks: 1)0.023 _____ 0.6 2) 35% _____ 3.5 3) 2 / 5 _____ 40% Your turn: Place a greater-than (>), less-than (<), or equal (=) sign in the blanks: 4) 4.5 _____ 45% 5) 1.5% _____ 0.0092 6) 3 / 8 _____ 0.4 Guided practice: 1) Which of the following makes the statement true? 0.56 < __________ < 60% a) ½ b) ¾ c) 57.5% d) 75% 2) Which of the following makes the statement true? ¼ < __________ < 125% a) 12.5% b) 1.25 c) 5.5% d) 0.55

17. 3) Which of the following makes the statement true? 0.7 < __________ < 75% a) ¾ b) 70% c) 0.73 d) 7.3 4) Which of the following makes the statement true? < __________ < 55% a) 20% b) 0.25 c) 0.025 d) 0.2 Your turn: ORDERING Fractions, Decimals, and %’s Remember: Start with the whole #’s, move on to the tenths, etc. Put the following decimal numbers in ascending order: 1) 1.0251.250.0390.4 Answer: 2) 0.00550.20.0150.15 Answer:

18. Put the following numbers in ascending (least to greatest) order: STRATEGY: Convert everything into decimals first ! Place the decimals from #3 (above) on the below number line: #Frac.Decimal%Answer (List in Original Form): 1. 1/81/8 0.025513% 2.1¾1.7551.7% 3.¼0.320% Decimal Version Decimal Version Decimal Version

19. Put the following numbers in descending (greatest to least) order: Word Problems: 2.At Simpson Middle School, the 6 th graders are absent 1 / 8 of the time, the 7 th graders are absent 0.1 of the time, and 8 th graders are absent 13.5% of the time. Which grade is absent the most? #Frac.Decimal%Answer (List in Original Form): 1. 2/52/5 0.4540.5% 2. 2/32/3 0.666% Decimal Version Decimal Version 1.Amanda, Bill, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2 / 5 miles, and Max ran 3.15 miles. Who ran the least amount of distance?

20. Homework/practice NAME:________________________________________________________________________________DATE: _____/_____/__________ “Ordering Rational Numbers” #FractionDecimal%Answer (List in Original Form): 1. 4/54/5 0.0880.5% 2. 1/31/3 0.3433% 3. 41/441/4 4.342.5% #FractionDecimal%Answer (List in Original Form): 4.¼0.0252% 5. 5/65/6 0.848.3% 6. 14 / 16 0.0975875% Order the following from least to greatest (ascending): Order the following from to greatest to least (descending):

21. Place a greater-than ( > ), less-than ( < ), or equal ( = ) sign in the blanks: 1)0.8 _____ 0.092 2) 2% _____ 0.3% 3) 3 / 4 _____ 7.5% 4)12% _____ 0.012 5) 52% _____ 5 / 10 6) 1.25% _____ 1 / 8 “Comparing Rational Numbers” continued... SOL PREP... 1)Which of the following is equal to 3 / 8 ? A.3.8 B.3.75 C.37.5% D.3.75% 2)Which of the following is equal to 50%? 3)Which group is in order from least to greatest? A.¼, 0.2, 2.5% B.0.2, ¼, 2.5% C.2.5%, 0.2, ¼ D.2.5%, ¼, 0.2