### The Weird Number

An excellent video for students to view in the elementary/middle school grades is The Weird Number. Click on this link [http://www.ciese.org/ciesemath/number_town.html] to go to a page where you can view the entire video. Watch the video and then post a reply to this entry by writing 3 short paragraphs identifying and explaining 3 different topics you could teach students after watching The Weird Number. You must have one activity for PK-2 students, one for 3-5 students, and one for 6-8 students. Your response must be posted by 10:00 am on 21 September 2006.

IMPORTANT NOTE: You must have QuickTime loaded on the computer to view the movie. QuickTime is available for Mac and Windows computers.

## 29 Comments:

After viewing 'The Weird Number' I had to think about topics that could be taught from the video. I came up with the following. For grades PK-2 I could teach my students how to make a fraction hands-on by using an everyday object like a cake (as they did in the video). I could even use small circles cut out of construction paper and let the kids take the whole circle and cut it into three equal parts to make the 3 portion of the fraction 2/3. Then have the children take two of them away to show the top portion of the fraction 2/3. This is a very simple topic to teach the children in these early grades so that they can grow on that knowledge to develop more complex understanding of fractions.

To continue that education on fractions in the grades 3-5 I could teach the concept that any two of the same numbers put together to form a fraction, such as 3/3, always equal one. This too could be shown using circles cut from construction paper only this time have them cut it into 3 equal parts and have them 'take away' all three of the parts. This shows them that even when it is cut into thirds and all pieces are taken away, it still only equals one.

In grades 6-8 children should already know the basics of fractions but if that is not the case then in these grades we can teach them how to reduce fractions. If students already know how to do this then it is now that we can begin really working with fractions whether it be adding, subtracting, multiplying, or dividing them. These functions will get the students to understand fractions more and how they are used. Fractions can sometimes be a very tough math subject for children. Showing a movie like this may ease some tension; and if we're lucky, maybe it will help us teach them so that the students never feel as though they cannot deal with fractions.

The video 'The Weird Number' is a very creative video and it will for sure help students understand fractions. For grades PK-2 I would start with basic whole real numbers and some of the most common fractions such as 1/2, 1/3, 1/4, etc. I would not only explain this to the class but show them using common objects. Some of these objects might be large cookies (show what a whole is then cut them into halves and so on) or even a piece of paper (give them all a sheet then ask them to cut in half, quarters, etc). I would also go into other ways of showing a whole number such as 2/2, 4/4, 5/5, etc. I could do this by using the same objects as above.

In grades 3-5 the children would already have an understanding of whole numbers and simple fractions. I would begin by reviewing them then moving on to reducing fractions. I would give each student a piece of paper with a bold line through the center and a bag of skittles or m&ms. I would then give them a fraction such as 4/8. They would then put 4 above the line and 8 below the line creating a fraction that can be reduced to 2/4 or even 1/2. I would go through each step with them until they are confident to create their own fractions and reduce them on their own.

For grades 6-8, I would take this learning a step further. I would begin by teaching them improper fractions and different ways they can reduce them. I would put one big fraction on the board. I would make large cards (large enough for the entire class to read) with numbers on them to create a fraction. I would also make the same cards for each student/group. Once the fraction has been made I would them step by step show to simplify and improper fraction. Also with this grade I would show them how to add, subtract, and multiply fractions.

Fractions are extremely tough for children to understand. I think as long as we keep reviewing what was learned in the past years, students will be able to deal with fractions with ease.

I think that "The Weird Number" is an excellent video for the introduction of fractions to children. It, however, can be broken into separate categories so as to meet the different levels of understanding among students.

For PK-2 grades, I think that a lesson that included the cake example would be very beneficial as it provides young learners with a visual representation of fractions. I would simply introduce the idea to this level so that they could begin to think about the idea of fractions.

For grades 3-5, I think that it is appropriate to introduce the idea that numbers can be written in different ways, but I would stick mostly to whole numbers, as in the 5/5=1, etc. idea.

Finally, I think that in grades 6-8 that it would be approriate to begin introducing more complicated forms of writing numbers that are equal in value. This level would be able to better understand the deeper meaning of these numbers, and would therefore be able to reognize and comprehend more variations.

I have never really been a big fan of the subject Mathematics, but after viewing this video I am convinced math can be made fun in certain ways. I found the video to be very beneficial. It is important that as future educators we are aware of the ability levels and needs of our classroom composite, in terms of the appropriateness of the lesson.

I feel that for students in grades PK-2 very tangible types of objects like cookies, pizza, or pie would be very helpful in demonstrating the concepts of basic fractions to students. If they are presented the material with something tangible they can relate to their everyday lives, I am convinced they would be much more likely to retain the information they are being taught.

I feel that for students in grades 3-5 it is important to branch further off on the concept of fractions, as well as incorporating whole numbers into the curriculum so that students in this age group become aware of whole numbers significance.

I feel that for students in grades 6-8 to really key in on the previous concepts being addressed and within these grades reach some level of mastery in terms of whole number writing, and fraction computation in a much broader and varied sense.

I found this video very interesting, and think it would be very useful for children in the classroom. I think that for grades K-2, I would teach the children the natural numbers. Then each day we would focus on one or two rational numbers, at these ages I would probably only focus on the numbers seen most often. By only focusing on one or two numbers it will help the children to really understand the concepts, and not be too overwhelmed by introducing too many to them. You could use brown circles to look like the cakes in the movie, so that the children have something to relate back to. You could also use other examples to show dividing things up works on more things then cakes.

For grades 3-5 I would start focusing in on the rational numbers that were not focused on previously. The numbers that are not seen as often in every day life. I would also start working with the children on how they can change the numbers to different forms, like 2/3 was shown in 4/6, etc. I would then also cover reducing fractions with my students after they had a base knowlege of the different forms fractions can be.

In grades 6-8 I would then cover improper fractions; we would cover what they look like, how they are formed, and also how to reduce them. I think at this point I would use this movie to get them thinking about negative fractions too. I would have the students watch the movie and at the end I would ask them questions about what they think the narrator is elluding to. I would then teach the class about negative fractions.

After watching "The Weird Number," I brainstormed ideas dealing with math lessons for different age groups. This video talked about natural numbers. Natural numbers are the counting numbers, which are 1, 2, 3, etc. For the PK-second grade age group, I would use edible objects, such as jelly beans or gummie bears, to teach the children how to count natural numbers. Each child would get candy and count out 1 jelly bean, 2 jelly beans, etc. This would be a great Pre K or Kindergarten lesson. As the children advanced on into higher grades such as first and second grades, the lessons regarding natural numbers would get more in depth. The students would begin to learn place value and fractions.

The third through fifth grade age group would begin to deal with lessons regarding natural numbers being rational numbers. This means that natural numbers are rational numbers because they can change themselves so they have their same number on the bottom and the top. For example, the number 5 can be written as 5/5. In a lesson, I could bring in an actual cake to demonstrate that 5/5 can also be represented as 1. I would start out with one whole cake. I would explain to the kids that we have 1 cake in the classroom. If I devide the cake into 5 slices, I still have 1 whole cake. Just because I cut the cake into 5 pieces, doesn't mean that the 1 whole cake has changed. I would demonstrate that if I take away a piece of cake, I have 1 out of the 5 slices, meaning, I have 1/5 of the slices. I would continue taking pieces from the cake 2/5, 3/5, 4/5, and 5/5. I would put all of the pieces back together to make 1 whole cake. The students would get to eat the cake after the lesson of course. As long as the children know how to divide, I would teach them a lesson showing then that the fraction, 15/3 is the same as the number 5. This lesson would be geared toward the 4th and 5th grade age group.

For the sixth through eighth grade age group I would review natural numbers, rational numbers, and fractions using lessons such as the ones above (altered based on maturity level). This would ensure that the students are prepared to start doing algebra based problems.

In grades pk-2 I would use cookies or circles of paper cut into equal parts to create manipulatives to help my learners demonstrate parts of a whole or fractions.

In grades 3-5 I would build on this base with simplifying fractions. Using similar manipulatices to show that large fractions like 18/27 are still the same thing as 2/3.

In grades 6-8 I could use a writing pre-assessment having my learners hypothesize as to what nonrational numbers are and build on the knowledge of real and rational numbers to the realm of the unreal like pi, phi, and some square roots.

The movie had a lot of things in it could be used in a classroom for a lesson. There were concepts in it that could be used for pre-kindergarted all the way through junior high.

For the PK-2nd grade I would introduce common fractions using pieces of paper cut out like a pie so that the children could see how all of the different fractions worked. The children would be working with fractions and it could be as simple as them figuring out what pieces fit together to make a whole pie.

For the 3rd-5th graders more fractions work could be done using concepts from the movie. In the movie they were looking for 2/3 but they couldn't find him because he was in a different form. Children could work on reducing fractions and finding out what fractions could be different fractions.

For the 6th-8th graders the ending of the movie would be appropriate. When they started talking about rational numbers they mention that all numbers that could be put in to the form of a/b were rational numbers. The chileren could work on an activity where they put numbers into fraction form and figured out whether the numbers were rational or irrational.

For PK-2 I would pose who did it questions to the class. For example, Sam found that 6 crayons were missing from is crayon box... who stole them? And after that I would go on to questions dealing with portions of common items missing. The children could brainstorm who must have took the items. Then, we could move on to blocks or chips to work through subtraction facts.

For 3-5th grades I would discuss the other disguises 2/3, 1/2, etc could wear. Maybe a Halloween themed activity for the fractions Halloween masks! A pair or small group of students could be assigned a fraction and asked to construct a list or table of all the possible disguises.

For 6-8th grades the students could brainstorm types of numbers that weren't discussed in the video and who might be lurking over the mountains at the end of the video. Also the students could draw a map of the environment described in the video and maybe extend it to include numbers not yet mentioned in the video.

There are many ways that 'The Weird Number' could be used in the classroom. I might even use it just to introduce the topic of fractions. In PK-2 classrooms, kids are all about hands-on activities and food! So I would use something simliar to what they did in the video with the cake (although I might use pizza or pie or something other than cake) and have the students divide it into pieces and determine what the different fractions are. I would probably even use this to introduce addition and subtraction since first and second graders will be working on that. For instance, if a student eats more than one piece of cake, or more than one piece of pizza, I will ask what the fraction is and show it using the pieces of cake or pizza.

For grades 3-5, I would start to introduce percentages with fractions. At about grade 5, students start to wonder why what they are learning is important. For teachers, by grade 5, we are starting to teach planning and using daily planners. So for an activity with grades 3-5, I would have students estimate how many hours a day they spend doing certain activities and turn that into a fraction and a percent. From this information, they will be able to more effectivly plan their day. To expand on (or make the activity more interesting) I might have the students watch a 1/2 hour television program and record how much time was used for advertisement commericials, how much time was used on the actual show, and how much time was used in other ways (i.e. news breaks, political advising, etc.). Once they have gathered the results, I would ask them how much time was spent on commericials and what fraction of the time allotted for the show this was. THey could then compare results with the class and figure out how much time is spent on commericials in a 24 hour period if the same amount of time is used on commercials during every 1/2 hour.

For grades 6-8, I would have the students do an activity with recipes. I will give them a recipe and say that in order to make the recipe for the entire class, we will need to multiply it by 5. Then, I will split the class into groups of five and have each student draw a diagram of how much of each ingredient they would need. I would then explain that by putting all of the ingredients in that group together they would have all of the ingredients. If the students were more visual, I would have them use more concrete manipulatives. I might have them create a pie chart for each ingredient and then when they add the ingredients together, they would actually see how much there needed to be. For example, if it needed 1/3 of a cup, I would have each student cut out 1/3 of a pie chart and put it together to see how many thirds (or how many cups and how many thirds) they would need. Also, to expand on this, I could have the students actually make the recipe given to them, and I might have them give all of the fractions a common denominator and use only the same size measuring cup to reinforce the fact that numbers have different forms.

http://www.lessonplanspage.com/

Exploring Mathematics 1991. Glenview, Illinois: Scott, Foresman and Co.

Shiotsu, Vicky. 1995. Math Notes Problem Solving In the Rain Forest

Torrance, CA: Frank Schaffer Publications, Inc.

After viewing the clip online I had many of the same activity ideas as other people who had already posted. So I decided I could do some of the same things and supplement them with computer assessment and activities. I found a website from the National Library of Virtual Manipulatives (http://nlvm.usu.edu) that had some decent activities for all grade levels. For k-2 I thought about using shapes divided up and partially shaded to demonstrate how to name fractions. Then I could have the students try the same thing on a computer in the classroom or in the computer lab.

For grades 3-5 I would be teaching how to multiply fractions using shaped divided up and showing how the double shaded region was the answer. Then I could assess thier understanding on the same website.

For grades 6-8 one activity I thought of was not me teaching a lesson, but leading students in the right direction to show how two fractions can be the same. Just like in the movie. With the website children could explore until they understood the concept and then explain it to me.

The Weird Number was a veryinteresting video to me. I had never seen anything like it. I think it is a great way to make mathematics fun for children. I could see how the movie would work for all different grades. For example, the movie would be a great thing to show to K-2 students because of the fact that it talks about numbers and how numbers can be fractions. They used real life situations, like the cake, to show how one whole thing can be cut into smaller pieces. If I were teaching this to these kids I would come up with another activity, maybe using a piece of paper or some other type of food for example, to show them inperson how the whole piece can be divided up.

The video would be great for grades 3-5 because is talks about how numbers can take many forms. Not only did the natural numbers change into one different form, they also changed into many different forms. Number one changed into 1/1, 2/2, 3/3, 4/4, and 5/5. That showed a pattern and kids at this age could recognize the pattern and see that it would go on forever.

The movie would also be good for kids grades 6-8 because it has some terminology in it that they may not have learned yet. It talks about rational numbers and natural numbers and what their difference is. All natural numbers are rational numbers as well. The ending would also be good for students in grades 6-8 becasue it talks about numbers that can not take the form of a natural number over a natural number. These are the imaginary numbers, like 3+4i for example. Students at this age have probably not yet learned about imaginary numbers and this video would be a great way to introduce them to those.

If I were working with grades PK-2 and I showed "The Weird Number", I would probably follow it with an activity involving pie or cake pieces like the movie. I would let them manipulate different fraction pieces on top of a whole circle so they can see for themselves that the pieces are equal to a whole.

Grades 3-5 could use the same kind of manipulatives and would be able to figure out that 2/3 was equal to 4/6. These manipulatives could also be used to reinforce the concept that fractions can be equal to whole numbers, like in the instance of 5/5. This is an important concept for students to understand. They can also review the concept of improper fractions. The students can also use manipulatives to begin adding and subtracting fractions.

For grades 6-8, the students can begin other more complicated operations involving dividing and multiplying fractions. I would use the video as a review for the concepts that are covered in it so that they have a good base for covering more complicated math operations involving fractions. Tt would be a good way to cover irrational numbers as well.

First, I'll say that "The Wierd Number" was actually one of the more entertaining and funny videos I have seen in a long time. I will definately use it in my classroom.

For grades K-2, I would use this video as a small introduction to fractions. Taking the same idea from the video, I would actually bring in three cakes/pies and reenact a lot of what went on in the movie, with my students playing the roles of certain numbers. Of course, I would be 763, because he was the one who used the knife most of the time. This way the students could have an even better understanding of simply what fractions are and how they work. For grades 3-5, I would set it up a similar way, but instead I would dive deeper into the terms "rational numbers" and "natural numbers". Also, I would have them use manipulatives to show how some fractions are equal to other fractions and how some whole numbers are equal to fractions. For grades 6-8, I would use the video as a review. I assume that, especially 8th graders, the students would have a good understanding of most of the concepts presented. So a simple review would do. Then, however, I would continue the story in some how to introduce irrational numbers and how they work. I would do this by simply acting out a "sequal" to the movie. Quote from the movie: "The three, his girlfriend, fainted." Genius.

Before having my students watch the video clip, I would ask them to pay attention to the different topics it talked about. I would then go on to explain that fractions are used a lot more in everyday life than they would think.

For grades PK-2, I would do an activity dealing with just recognizing numbers and fractions. I would have them do an activity with M & M’s. I would inform them not to eat any of the M & M’s while we are doing the lesson and that they would receive some after the activity. They would each get a little fun size bag of M & M’s and they would have to count them and write the number down. Then they would have to separate the M & M’s by color and then recount each color. Then they would have to write the fraction for each color of M & M’s. Then, I would partner them up and have them switch seats and have them check their partner’s work. Lastly, I would have each person come up to the board and record the number of one of the color M & M’s and draw them on the board and use another color to fill in w/ the total number of M & M’s they had.

For grades 3-5, I would do an activity dealing with equivalent fractions. Each student would receive a set of pizza circular fractions. If there was enough time, I would have them decorate their different pizzas and then cut them out themselves. If there wasn’t enough time, I would have everything already cut out for them. The set would consist of pizzas divided all the way up to tenths. I would also have a large set of my own w/ magnets on the back so I could put it up on the dry-erase board. I would go through explaining and showing the different ways to make equivalent fractions. I would have them get into groups and then we would play a game. I would say a fraction and show that fraction of the pizza up on the board and then they would have to come up with as make equivalent fractions as they could think of. Then group that can find the most gets to decide what the next fraction the class is going to make equivalent fractions for.

For grades 6-8, I would do an activity dealing with multiplying fractions. I would show them how fractions are used frequently when cooking. I would talk to the class about recipes and how to make more than one batch of something at a time. I would pass out a recipe for cookies and tell them that the recipe only makes 18 cookies. I would tell them that we want to make enough cookies for each student in the class to have 2 cookies. So then we would make sure we all knew how many cookies we would want make. So if there were 23 kids in the class, we would need to make 46 cookies. Then we would discuss why we would have to multiply all of the ingredients in the recipes by 2.5. I would have them all do the math and then get with a partner and compare and discuss their answers. We would discuss the answers they got and then talk about how they got the answers. Then, hopefully after we have the amount of ingredients adjusted, we can go into the kitchen and the class can work together and make a batch of cookies.

After watching "The Weird Number" which I thought was really cute I thought of many activities for teaching students about fractions. For pk-2nd grade I would start by teaching them about the definition of rational and irrational numbers. I would definitly use pictures of pie's to help them learn fractions. I would have a worksheet where they can cut the pie into different slices and explaine how that is the bottome number of a fraction. Then have them tell me how many they are going to eat of the slices and explain how that represents the top number of fraction. For this age level though I just want them to realize that there are not just natural numbers.

For the 3rd-5th graders I would go in more depth about fractions. I would have them plot numbers on a number line and then give them fractions and have them figure out where that fractions go on the number line. I would also have them learn which fractions are bigger and which fractions are smaller.

For the 6th-8th grade I would have them learn about which fractions are equivelent to each other. Each student would be a fraction and they would have to find other students in the room with a fraction that is equvilent to the fraction they have. These are just some ideas from the video about fractions.

The only problem I had with this video is what if there were two robbers?

On a different approach than fractions, I thought that if I showed part of the video in a k-2 grade class I could use it to teach addition. For example, Maybe 6 cakes were stolen but 6 did not steal any, four stole 4 and two stole 2. Asking the learners: How many ways can you make up the number 6?

For grades 2-5 the learners could study adding simple fractions and noting different ways of getting the same amount. By using measuring cups and clear cups you could say you could get 3/4 cups of water by filling the cup to the 3/4 mark or by adding 1/2 cup of water to 1/4 cup of water.

In 6-8 grade we could do the addition of fractions. Using the weird number video as well. An example would be six cakes were stolen but 6 did not steal any, 8/4 and 8/2 were the robbers.

First and foremost, that was a pretty useable video. As for PK-2, I'd begin with an activity using one whole piece and breaking it down simply. For younger students, it's very important to start simple and work from there. Then, even those who are more advanced can build a foundation on the easy stuff without skipping any steps.

For 3-5 I'd like to use more stuff from the actual video. For example, I'd ask students to find at least 10 other ways for 2/3 to hide from 763. With this, we can progress into other equal fractions; students could use manipulatives to show these similarities.

Finally, for 6-8, I'd like to try something with other fractions like 5/4, then transition into mixed numbers. I'd also consider an interdisciplinary lesson on the segregation of the whole numbers and the fractions. This might be a little out there, but what the hey.

I enjoyed "The Weird Number", it was not only intelligent and educational but it was also entertaining. The only video resource that compares would have to be "Donald in Mathematic Land" which I found to be less enjoyable.

PK-2 I would throw a party for a number in the movie letting each student decide his or her own personal favorite character and become them. At the party would be cakes and different baked goods that would be used just like in the movie to demonstrate the basics of fractions. Each student would identify how much they receive as their respected character. Because the students would realize that not every number recieved the same amount this would offer the opportunity to show how fractions like 2/3 and 4/5 are different. Once the students were done with the lesson we would also teach about sharing and share with the rest of the class so each would get an equal amount.

I think a play would work well for 3-5 graders. Having each student choose a role in 'The Weird Number' story to become and making costumes to represent their number. Once the students have made their costumes the teacher could set up different situations around the room where each number would have to react how it should according to the movie, 2/3 taking 2/3 of something and so on. Adding different costumes to the same number, 5 or 15/3, can be used to teach the students about more complex fractions.

For 6-8 graders I would have them develop a story based on the characters in 'The Weird Number' but each student would have to create their own different characters. So integrating lessons on other fractions would help them develop their stories and understanding of fractions.

Fracions are a VERY tough thing for children to grasp on to. They is even hard for some adults. I think that "The Weird Number" did a great job of showing some creativity. It is much easier for children to learn hands on. Therefore to teach students fractions, I might use something they are interested in like cookies or cake. This would be great for early elementary. As school progresses into the later years I would bring ni in con

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I would bring in broader concepts such as numbers that can be written in more than just one way and adding and subtracting them. From there on out fraction should always be there for children to practice on even in high school.

I think the video, "The Weird Number" could be an excellent tool tgo help students understand the idea of fractions. i do think younger students may still struggle with this idea, and that the upper elementary students and middle level may understand these concepts better. However, I have thought of a few ideas that I could use in various grades.

If I were to use this video in a K-2 setting, I would focus just on the main idea of fractions. I would have the students engage in an activity where they were using some type of manipulative tool. I would give them, for example, a circle that could be divided into parts. I could then use this circle to demonstrate the idea of 1, and then subsequently, the ideas of 1/2, 2/2, 2/3, etc. Or quite possibly, use the manipulative tools could be the students themselves. Have the students make whole groups, and then when one student leaves, what is the remaining number represented.

For upper elementary students, I still think the idea of using the students as the manipulatives could be very beneficial. The learning has to mean something to the kids, and it they were directly involved, they may learn the concept easier. I could also enhance this lesson by handing cards to each student. Each student would have a match they would have to find. This match may be 1 and 3/3, or 4/6 and 2/3. I could then add more to each match and have the kids find other groups. I would have the kids pair-share to help explain to each the concept to one another.

In a middle level classroom, I think this video would really hold the attention of the students. I think this would really give a great base for a fractions lesson. Again, I like the idea of having the kids find their missing pair, but to enhance the lesson, the kids could come up with their own matching fractions to share with the class. I could have them demonstrate using manipulatives, and have the students then teach us what they know about the fractions. To make this less intimidating, this could be modified so that the students were only "teaching" to a small group of students.

I found the “The Weird Number” video to be very interesting. This video can make math a lot of fun. For K-2 I would start very simply by introducing fractions by cakes. I feel students this age should be able to comprehend fractions at a simple level if it is something they are around all the time, like cake.

For 3-5 I would introduce a how fractions can be reduced. For an example in the video 2/3rds was 4/6ths and so on. I would relate the lesson to the cake and the bread missing with in the video.

Finally 6-8 I would introduce how very natural number can be rational numbers. One activity I would do would be relating cooking to fractions and rational numbers. Many students by now would have helped their parents cook at home. Since a cake was a main theme through out the video I would relate to how to make a cake to fractions and rational numbers.

I would use the video with 6-8 on a more detective type activity and allow the students to investigate the meaning of natural numbers and fractions. I would also ask them to put themselves in the position of the whole numbers and the sheriff at the time number 9 reported the crime how would they go about explaining who the thief of the bread was and what investigative process they would conduct to arrive at the conclusion that it could have been any rational number that committed the crime

I would use this video with 3-5 as an introduction/review of natural numbers and fractions. The video gives a lot of good information and is interesting enough to keep the attention of a 3-5-grade student better than a lecture on the topic. I would then follow the video by allowing the students to tell me what they learned in the video and build upon that for a more in-depth lesson on natural numbers and fractions.

For K-2 I would use this video to introduce natural numbers and fractions, to the students. I would not however expect for them to grasp the information simply from watching the video so I would incorporate activities that involve everyday items that we use including food, like pizza and pies and other manipulatives such as tangrams that would allow the students to create fractions using objects to see the concept for themselves.

I think the video goes in a good sequence of teaching students about fractions. The easiest would be to teach the PK-2 would be to start with a cake like in the video. This is a fairly easy concept to teach and understand for these children. You should probably only use one cake and teach them about halves, thirds and quarters. You can even go higher with fifths and sixths if you would like.

For grades 3-5 I feel it would be nice to review the above and then move on to showing students that 3/3 is equivalent to 1 and so on with 2/2, 4/4, 5/5, etc. The easiest visual thing I feel would be to use cirlces and have them cut up into pieces or have them drawn on the circles. You could also use cookies of some sort to treat the students for their good efforts. Also, for advanced students you could give them problems such as reducing fractions.

The 6-8 grades should know the previous stuff, but again it wouldnt hurt to review with them. Then you can move on to adding/subtracting fractions. The key concept of this is getting the same denominator and is a key concept in this lesson. Also, multiplying/dividing fractions should be taught at these levels as well.

This video is a great video and I think students would really enjoy it. It explains fractions in a fun way. For grades PK-2, I would teach more abut fractions by using manipulatives like the "pie" examples that I remember learning. I would use many different examples and have the learning be mostly hands-on.

For students in grades 3-5, I would expand on the concepts already learned by teaching about how you can add two different fractions. Then I would show how you can have 5/6 plus 1/6 and that would equal 6/6 which is 1.

For grades 6-8, I would work on adding, multiplying, dividing, subracting fractions. I think that the students would already have grasped the idea of using manipulatives or thinking about fractions as parts of things such as pies, that we would not need to do that anymore. I think that practicing and making sure that all of the students have fully grasped the idea of fractions, that just working on problems and making sure that all of the students are on the same page would be my focus.

This video is a great video and I think students would really enjoy it. It explains fractions in a fun way. For grades PK-2, I would teach more abut fractions by using manipulatives like the "pie" examples that I remember learning. I would use many different examples and have the learning be mostly hands-on.

For students in grades 3-5, I would expand on the concepts already learned by teaching about how you can add two different fractions. Then I would show how you can have 5/6 plus 1/6 and that would equal 6/6 which is 1.

For grades 6-8, I would work on adding, multiplying, dividing, subracting fractions. I think that the students would already have grasped the idea of using manipulatives or thinking about fractions as parts of things such as pies, that we would not need to do that anymore. I think that practicing and making sure that all of the students have fully grasped the idea of fractions, that just working on problems and making sure that all of the students are on the same page would be my focus.

The video "The Weird Number" is a very helpfull tool in teaching students the concepts of fractions.

For grades PK-2 I would introduce the general concepts of the most common fractions, starting with whole and then on to 1/2, 1/3, 2/3 ect. I would have diagrams made up of what whole, 1/2, 1/3, and 2/3 (etc) looks like. I Would then split them up into groupd and use something like pizza or cookie sharing to give them a hands on take of the fraction concept.

To educate students in grades 3-5, I would first make sure everyone has the basic concepts of fractions down, as learned in PK-2. I would move them more into the different ways fractions can be reduced. ie 3/6= 2/4= 1/2. I would use paper peices to show how 3/6 looks just like 1/2 to further show the relationships - that they all are 1/2. For the younger half of this group, like third grade, I would try to spend more time reviewing and going over what makes whole and what 1/2 looks like and guide them into noticeing 2/4 looks the same.

As for 6-8, these students should have a pretty good concept of fractions and how they relate to each other. I would continue reviewing so not to loose the basics and then move on to what makes improper fractions and what we can do to them. Recognition of improper fractions is important and then how to reduce them is what would come next.

I definately hated fractions all through school just because I never felt I knew what was going on. I think that making sure to review over everything is a huge help and key for helping students learn further lessons.

In grades PK-2 the concept of fractions may be a little to confusing to understand. This is why we need to use tangible, everyday items when teaching these young students about fractions. I would use a lesson that is similar to the cake example, but I would use objects like giant cookies so that all of the students can have their own.

In grades 3-5 the children would already have an understanding of whole numbers and simple fractions. This is when I would switch from using tangible items to using more concrete items, such as manipulatives from this page:

http://www.abcteach.com/Math/fraction1.htm

For grades 6-8, I would take this learning a step further. I would begin by teaching them improper fractions and different ways they can reduce them. This includes covering what they look like, how they are formed, and how to reduce them. I really liked Morgan’s idea about introducing recipes and having the students double or cut the ingredients in half.

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