Give One, Take a Lot More: Using Benchmark Fractions or Estimating Them
Create one example of using benchmarks or estimation and fractions (see Example 8-9 on page 186 in the Burris text) that you could use in your classroom. Don’t have your book handy? No problem! Here’s Example 8-9:
Class, we have been studying different countries. Look at the flags that we have hanging at the front of the room. Which flag is the flag of Italy? About how much of the flag of Italy is green? Which flag is Poland’s? How much of the Poland’s flag is red? How about the U.S. flag? About how much of our flag is blue?

In order to receive full credit for your post, you will need to provide at least one web link to an image.
View “Understanding Fractions” and “Just a Fraction” to see how British teachers are using plastic cups to model (addition and subtraction of) the benchmark fractions 1/2 and 1/4 to their students.



http://www.shodor.org/interactivate/activities/piechart/
I found this web site teachers can use to create just about any chart the choose with either the fractions or percentages they choose.
smile0304
April 18, 2008
http://www.visualfractions.com/Identify_sets.html
This website is used for practice when working with fractions. It gives you pictures and asks what fraction of the picture are circles or squares. So you have to count all of them and then tell the fraction of either/or.
tls1995
April 18, 2008
http://www.kidsrunning.com/school/krschool0526fractions.html.com
Here is a website that teachers can use to teach fractions using games with their students.FUN!
Courtney Pollard
April 24, 2008
http://www.funbrain.com/cgi-bin/fob.cgi?A1=s&A2=0
This is a fun game teachers could use to help show equivalent fractions.
mom22boys
April 25, 2008
http://www.jamit.com.au/htmlFolder/app1002.html
This website is a fun game you can play after practicing equivalent fractions. After teaching the lesson the student can practice playing a fun game!
Brandi Harbour
April 28, 2008
Those are all great links, but don’t forget to write an example that uses benchmarks or estimation and fractions. (Again, see the example given above, or consult Example 8-9 on page 186 in the Burris text.)
vkier
April 28, 2008
Tony and Jenny go to Pizza Hut to get pizza. Tony wants Pepperoni and Jenny wants just olives. They decide to go half and half on an 8 slice pizza.
How much of it is olives? How much of it is Pepperoni? If Jenny only eats 2 slices of her 4 how much is that? If Tony eats 3 slices out of the total 8 pieces, how much is that?
mom22boys
April 29, 2008
This one is especially good for studying benchmark fractions: http://www.oswego.org/ocsd-web/games/fractionflags/fractionflags.html
An 8 3/4 foot board must be shortened to 6 1/3. How much must be removed?
njd2005
April 30, 2008
http://teacherlink.org/content/math/interactive/flash/kidsandcookies/kidcookie.php
This website you can choose how many friends you want to share cookies with, and how many cookies you want to share. It is a really fun game. You can put the cookies on a cutting board and decide how you want to them. You then get to hand them to each friend. After you are done, it will tell you each fraction of the cookie you gave away, and then they eat the cookies! (You do have an option of starting over if you realize you messed up.)
My instructions using halves and thirds would include telling the students how many friends and how many cookies to use, to make sure they can deal with 1/2 and 1/3.
Choose six friends and 3 cookies. What fraction of the cookie does each friend get? Choose 3 friends and only one cookie. What fraction does each friend get?
Brandi Harbour
April 30, 2008
This website gives students a clear view on understanding math, and makes if fun in the process.
Example:
Beth divides a chocolate pie into 6 equal amounts and Jenny divides an apple pie into 8 equal amounts. Both eat one piece of their pie. Who eats more?
rmt06
April 30, 2008
Oops…here’s my website… didnt work the first time
http://www.coolmath.com/fractions/fractions-01-what-are-they-02.html
rmt06
April 30, 2008
http://www.greatschools.net/cgi-bin/showarticle/721
This website is an article on related reading materials, and a quick and simple example of using a tortilla to “make a pizza” though I think it would be a wonderful idea for the students to make a REAL pizza. To do this I would incorperate a poll of the class to see what kinds of pizza. I would then take that in fraction form and apply it to the pizza. If half the class wanted peperoni I would say ok, half the pizza will be pepperoni…and so on. This could be used in groups of four or eight. Each student could then add thier own toppings and whenyou put thepizza together you coud see the fractions-How cute. You woudl have to cut out pizza shapes from construction paper if you didnt want to make the actual pizza.
anne
April 30, 2008
This site has a lot of fration practice, including proper, improper, equivavlent, addition, subtraction, etc..
“Fraction Practice” is perfect for working on estimation skills.
For our class project today, we are going to make a graph of all our birthdays. On the graph, we will place markers on the coresponding month of each child’s birth month. Then we will figure out what fraction of kid’s have birthdays in each month, and what fraction have birthdays in the first half of the year. We will see which month has more birthdays than the others, etc…
Kelley Hale
May 1, 2008
http://www.helpwithfractions.com is a great site for teaching rules and definitions of fraction terms. Also http://www.aaamath.com ,
http://www.mathsisfun.com/fractions.html is great for an introduction to the basic benchmark fractions.
A large pizza has 16 pieces of of pizza. John and Sally both had 1/4 of the pizza a piece.How much is left when they are finished.
Hollie Mullins
May 1, 2008
http://www.learner.org/resources/series32.html
On this web site they give you several options to choose from that deal with just about any type of math.
We are going to use our octagon shape pattern blocks today, and I want to know how many fractions you can come up with using the other pattern blocks to break up your original octagon pattern block.
Angel Cabe
May 1, 2008
(http://www.funbrain.com/fract/index.html leads directly to “Fresh Baked Fractions.” )
If you go to this web site and click on Fresh baked fractions, the students have to decide from four choices which one is not equivalent to the other three. If you get it right, they will add another piece of the pie to complete it.
I would have several pictures of pies cut into different amounts.
I want you to show me which pies are equivalent to one another. When you find the pies that are equivalent, I want you to write down the fraction that is represented in each pie.
Angel Cabe
May 1, 2008
you and a friend are playing with plastic army men. you each have 30 men. 1/3 of your men and 1/2 of your friend’s have machine guns. how many
men have machine guns?
These are just some funny cartoons I found
http://www.cartoonstock.com/directory/f/fractions.asp
Dennis
May 1, 2008
Great job, everyone! Check out Dennis’ cartoon link, if you haven’t already done so. I think this one would make a great opening to a lesson on estimating fractions. You could cover up the 1/8, and have students discuss the fractions that would/wouldn’t make sense in the blank…
If you’re having trouble thinking of activities which use benchmark fractions, click here for a written unit on the subject. Or, click here for an interesting game (courtesy the Connected Math Project). The goal of the game is to create decimals or fractions which are as close to the target or benchmark decimal or fraction as possible.
vkier
May 2, 2008
http://www.learnalberta.ca/content/mejhm/html/video_interactives/fractions/fractionsSmall.html
This website helps children to see how fractions can be used in real life situations. It also allows children to explore the concept that was presented. By observing and exploring children gain an understanding of how fractions work.
Example of a problem: Chef Alfredo is making spaghetti for 18 people. He has a wonderful family recipe for spaghetti, but it is only enough for 6. Can you help Chef Alfredo make enough for 18 people? The original recipe calls for 1 box of pasta, 2 tomatoes, 2 tbs. of garlic, 1/4 c. parmesan, 1 can of tomatoes paste, 1 bell pepper, 4 mushrooms, 1/3 can of tomato paste, and 1c. water.
Solution: One possible way is to multiply all ingredients by 3. Another way is to count up individual items and draw charts to represent the fractional values.
Answer: 3 boxes of pasta, 6 tomatoes, 6 tbs. of garlic, 3/4 c. parmesan, 3 can of tomatoes paste, 3 bell pepper, 12 mushrooms, 1can of tomato paste, and 3c. water.
burns18286
November 11, 2008
There were 16 students going to get snowcones. 1/4 wanted blue, 1/2 wanted red and 1/4 wanted green. How many students wanted blue? How many students wanted red? How many wanted green?
I also found this website that would be a great resource for teachers. This not only had games for the students to play online but there were also worksheets that could be printed off for all to work out on paper.
http://www.visualfractions.com
hughes6871
November 13, 2008
http://www.coolmath4kids.com/fractions/fractions-This site has a plethera of fun math activities for the students to enjoy. there is a wide range of activities in the fraction department to aid in the understanding of fraction.
Jimmy has a large chocolate bar he wants to share with his three friends. How many pieces will he need to divide his candy into? What part will each person receive?
(Answer..He will divide the candy into four parts. Each person will receive 1/4 of the candy.)
weaver17536
November 15, 2008
There are twenty students in a class. 5 students bring a peanut butter sandwich for lunch, 5 bring a tuna sandwich, and 10 of the students bring a bologna sandwich. What fraction of the students got a peanut butter, a tuna and a bologna sandwich?
Answer: 1/4 of the students got peanut butter, 1/4 got tuna and 1/2 of the students got bologna.
avila15745
November 17, 2008
http://www.mrnussbaum.com/icecream/index.html
This website is Cara Fraction’s Ice Cream Shop. I had a lot of fun playing with this one. The idea is to take the client’s ice cream order and make the ice cream. This game uses improper fractions and wants the player to make them mixed fractions to determine how many scoops of ice cream the client wants. For example, I’ll have an Ice cream with the following: 5/3 chocolate, 3/2 vanilla, 7/3 strawberry, and 5/2 coffee. The player then changes these to 1 2/3 for chocolate, 1 1/2 for vanilla, 2 1/3 for strawberry, and 2 1/2 for coffee flavors. These are then put on the order and you click the send button to see if it was correct. If it is correct you make money on the “sale” if not it cost you money. The trick is that it is timed, if you run out of time, it also costs you money. (it goes from easy to hard)
lockhart8292
November 18, 2008
http://www.philtulga.com/Math.htmlThe creator of this site leads his viewer through a mathematical musical journey, and teaches students how to “hear” math by introducing the mathematical properties of music. Really fun!!!
sefrancis
November 29, 2008
Presidential candidate, Barack Obama received 365 electoral votes in the 2008 United States Presidential election; Presidential candidate, John McCain received 173 electoral votes. If 270 of the total 538 electoral votes are needed to win the election, then by what fraction did candidate Obama win; by what fraction did candidate McCain lose; what is the fraction of required votes to the total amount of votes?
sefrancis
November 29, 2008
Martha’s mother made cookies for her to share with her friends. She made 24 cookies. Martha’s mother ate 4 cookies. In fraction form, how many cookies are left? If Martha decides to divide the remaining cookies equally among herself and her 4 friends, how many cookies, in fraction form, will she and her friends get?
http://www.internet4classrooms.com/skills_4th_original.htm
I found this interactive site that has a lot of different games on it. I checked out some of the fraction games and they are great! I will definitely keep this site in mind for my classroom! It has other kinds of games besides fraction games, so it will be very useful!
deedowdy
December 3, 2008
Sally and Julie decide to make a cake. They decide to make the cake a circle and cut the cake into 12 equal pieces. Sally really likes strawberry frosting and decides to frost 1/4 of the cake strawberry. Julie likes vanilla and decides that 2/3 of the cake should have vanilla frosting. How many pieces are frosted? How many have vanilla frosting? How many have strawberry frosting? Are there any without frosting? If so, how many pieces?
Solution:
There are 11 pieces frosted. Eight of those pieces are vanilla and three of those pieces are strawberry. There is only one piece that is not frosted.
This website gives a screen shot of the solution process I went through when adding fractions with different denominators: http://www.webmath.com/cgi-bin/fraction.cgi?atop1=1&abottom1=4&atop2=2&abottom2=3&btop1=&bwhole1=&bbottom1=&btop2=&bbottom2=&ctop1=&cwhole1=&cbottom1=&ctop2=&cwhole2=&cbottom2=&op=add&back=addfract.html.
This website gives a great image and activities that corresponds to my fraction problem dealing with cake: http://www.nga.gov/education/classroom/counting_on_art/act_fractions.shtm.
This website gives some great examples of how to visually see fractions using everyday things, such as a man, a chocolate bar, a pizza and more! http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/fractions/introduction/activity.shtml.
sam5712
December 3, 2008
Sam5712, the Counting on Art link is GREAT! Thanks for sharing!!!
vkier
December 9, 2008