Comparing and Ordering FractionsSPI 0506.2.9 Compare whole numbers, decimals and fractions using the symbols , and =.

ObjectiveWe are going to compare whole numbers and fractions using the symbols , and =.

Use your prior knowledgeWhat have you learned about fractions so far?You already know how to find equivalent fractions. Today you will use what you know to compare fractions.

Think for a minuteCan you think of any jobs or activities that would require you to compare fractions??? Write them down.

Cooking- MeasuringWorking with tools- Cabinets, building a fireplaceWorking with ribbon- knowing which ribbon is the widest

Working with ribbonMeasurements are often recorded in halves, quarters, and eighths of an inch. Why would it be important to compare fractions with different denominators when working with inch measurements?- If you are comparing two measurements, such as in. and 3/8in., you need to be able to compare the fractions to tell which is longer.

*COMPARING FRACTIONS WITH THE SAME DENOMINATORS*

It is easy to compare fractions if they have the same denominator. All you have to do is to compare their numerators.

If two fractions have the same denominator, the larger fraction is the fraction with larger numerator.

Example1:Which is larger, 2/4 or3/4 ? 2/4 has only 2 fourth parts 3/4 has 3 fourth parts

Since the denominators are the same,3/4 is larger than2/4, because 3 is larger than 2. We write2/4 < 3/4

Representation2/4 < 3/42/43/4

Comparing numbers with common denominatorsWhen the denominators are the same, simply compare the numerator.2/7 6/7Which is the greatest? 7/17, 10/17, 16/17

Try these151918191912Compare whole numbers first, then fractions..33When there are whole numbers3 is much more than 18/19

What do you do when the denominators are not the same?You must find a common denominator.To do this, write out the multiples of each denominator. The multiples are not the factors.The multiples are the numbers you get when you multiply the number.For example 6/8 and 4/5

5: 5, 10, 15, 20, 25, 30, 35, 40, 45.....8: 8, 16, 24, 32, 40, 48, 56.....Now lets see

For example 6/8 and 4/55: 5, 10,15, 20, 25, 30, 35, 40, 45.....8: 8, 16, 24, 32, 40, 48, 56.....

Do you see a common multiple???

40 Use 40 as the common denominator.

6/8 x 5/5 = 30/40

4/5 x 8/8 = 32/40

.

Problem: Mr. White has ribbons with the following widths: 7/12 in., in., and 5/8in. He needs to use the widest ribbon. Which ribbon is the widest? To find the answer we must know how to compare fractions.Do our denominators match?Based on what you know (prior knowledge) make an inference. What is the first thing we should do?Find common denominators!

How do we find common denominators???Common multiplesOur denominators are 12, 2, 8 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24 8: 8, 16, 24, 32, 4012: 12. 24, 36, 48Is there a common multiple?

Fraction pieces with partnerLets Compare!

7/12 6/10

Using fraction piecesCome up with a question for a fellow classmate.Write your problem down. Have the pieces they need to solve the problem ready, but not put together.

Groups of 4 Number yourselves 1-4#1 has halves, 3rds, and 11ths#2 has 4ths, 5ths, and 10ths#3 has 6ths, 7ths, and 12ths#4 has 8ths and 9ths

Tell whether the fractions are ordered from least to greatest or greatest to least.2) 5/8 ; ; 2/10

1) 2/3 ; 7/10 ; 8/9 ; 11/123) 7/8 ; ; ; 1/12Least to greatestGreatest to leastGreatest to least

Textbook page 230-231Do #s 7-12 in your spiral.

When you are finished you may start on homework.Homework: Worksheet that compares whole numbers and fractions using the symbols , and =.

Before you leave!Ticket out the door! For extended writingIf I was going to share my candy bar with you, would you rather have 3/8 or 2/5? Write your answer on the ticket out the door and explain why and how you made that decision.

Dont forget HomeworkWorksheet comparing and ordering fractions using symbols.

http://jamit.com.au/htmlFolder/app1005.html

Shark and sock game

http://jamit.com.au/htmlFolder/FRAC1005.html#DiferentDenexplanations

****