2. Comparing Fractions and Decimals Grade 5

3. Lesson Objectives 6.A.1.d Compare and order fractions with or without using symbols (>,<,=) 6.A.1.c Identify and determine equivalent forms of proper fractions 3.A.1.a Use technology tools, including software and hardware, from a range of teacher -selected options to learn new content or reinforce skills.

4. Unitedstreaming Video Clip There is a great video clip that can be used with this lesson. To use it: 1.Log into Unitedstreaming –www.unitedstreaming.comwww.unitedstreaming.com 2.Do a search for this Movie: – Discovery Math: Number Theory (3-5) Discovery Channel School 3.Then choose this clip: – Relations Among Numbers

5. Fractions and Decimals Discovery Math: Number Theory (3-5) Discovery Channel School. 2005 http://www.unitedstreaming.com/>http://www.unitedstreaming.com/

6. Let’s Review Comparing fractions Converting fractions to decimals Comparing decimals Converting decimals to fractions

7. Comparing Fractions In order to compare fractions, the denominators for each fraction need to be the same. Find the Least Common Multiple Make equivalent fractions

8. Comparing Fractions 3 2 7 4, 5, 20 4: 4, 8, 12, 16, 20 5: 5, 10, 15, 20, 25 20: 20 LCM = 20

9. Comparing Fractions 3 15 2 8 7 7 4 20 5 20 20 20 Now order these fractions from least to greatest. = = = 34 34 25 25 7 20

10. Comparing Fractions Order these fractions 45 45 12 12 6 10 45 45 12 12

11. Comparing Decimals When comparing decimals, you have to look at the whole numbers. If the whole numbers are the same, then look at the decimal in the tenths place. Keep looking at the digits until you can identify which is the greatest or least.

12. Comparing Decimals Practice Time ! Order from least to greatest Problems Answers 1.134, 1.341, 1.103 14.07, 14.072, 14.172 3.963, 3.63, 3.93 1.103, 1.134, 1.341 14.072, 14.172, 14.07 3.63, 3.93, 3.963

13. Converting Fractions to Decimals 6 10 8 100 Think about how you say the fraction. How many TENTHS are there? The 6 goes in the TENTHS place..6 = =.08 How many HUNDREDTHS are there? The 8 goes in the HUNDREDTHS place.

14. Converting Fractions to Decimals If the denominator is not a tenth or hundredth, you will need to make an equivalent fraction using a 10 or 100 as the denominator. 45 45 = 8 10 =.8

15. Converting Fractions to Decimals 4 20 75 100 34 34 == Let’s try a few! 20 100 40 100 10 25 = = = =.75.20.40

16. Converting Decimals to Fractions Converting decimals to fractions is the opposite of converting fractions to decimals. Once again, read the fraction. What do you hear? Tenths or hundredths?

17. Converting Decimals to Fractions 6 10 8 100 Think about how you say the decimal. Read the decimal. The 6 is in the TENTHS place, so the denominator is 10..6 = =.08 What place is the 8 in? The HUNDREDTHS place. The denominator is 100.

18. Converting Decimals to fractions 60 100 or= Let’s try a few! 16 100 40 100 = =or.60.16.40 6 10 4 10

19. Comparing Fractions and Decimals In order to compare fractions and decimals, you have to use all of the skills you have learned and reviewed in this session. You can not compare fractions and decimals. You have to convert them all to either fractions or all to decimals.

20. Comparing Fractions and Decimals.60 4 10 4 20 Compare and order these fractions and decimals. 12 12.75.4