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The top of a fraction is a NUMBER: 1, 2, 3, etc. The bottom of a fraction is a NAME: half, third, fourth, etc. We can add and subtract numbers. We cannot add and subtract names.

Fraction Blackjack

Ask each student their "denominator." Don't give it away. Ask each one until one finally says their name. Continue through the room... Their name is their denominator. When you practice adding and subtracting fractions with like denominators, actually say "pigs" instead the fraction name. Then say, "Instead of pigs, we are using ..." and let them answer with the appropriate denominator. It is fun when doing subtraction to say, "If we have 5 pigs and eat 3 pigs, besides a stomachache, what is left?"

The transition to unlike denominators is automatic. If the names are not the same, you can't add the fractions. 2/pigs + 3 horses is still 2/pigs and 3/horses (unless we discover a "common denominator" -- a common name: farm animals). Once the students know they must have a common name (denominator) in order to add or subtract, they have a reason to learn about common denominators. By the way, I always begin common denominators without worrying about the Least Common Denominator (LCD). Once they can find a common denominator (multiply the denominators), add or subtract, and then reduce, they can be led to finding "easier" denominators to work with. Students who have too much difficulty with LCD can still get the correct answer; they just have more reducing to do. Those who can find a lower common denominator have less reducing. This is a very basic rendering of "Fractions are as easy as pigs." AWP, 10/12/00 on teachers.net math board

Denominate means: to name Political parties nominate (name) their candidates. Religious denominations are identified by their names. The denominations of money are the names of the coins and bills.

One game that my students enjoy the challenge of is Blackjack 1. You need a set of fraction cards per student (or you can make them from index cards.) The same rules as Blackjack apply. Instead of trying to get to 21, they want to try and get close to 1 without going over. With this game they practice addition and comparing -- it's great. You can also make it more challenging or bring in mixed numbers with Blackjack 2 or Blackjack 3. (Blackjack 2 means to try to get as close to 2 as possible without going over.) I am not sure where to buy fraction cards. I have one set that I received when I took over a classroom. However, I have always had the students create their own sets and we used them for several games. I gave each students a set of index cards (3 1/2 X 5) and they wrote the fractions in pencil so they couldn't be seen through the cards. These are the fractions we included: all fractions with a denominator of 2, 3, 4, 5, 6, 8, 10, and 12. (To challenge the students you may want to use the 7, 9, and 11 denominators as well.) I also had the students include 2 0's such as 0/3 and 0/4 and two 1's such as 3/3 and 4/4. Each game required two sets of cards, so I had the students write their initials in the corner of their set so they would get a complete set back after the game.

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Fraction War Fraction War with the fraction cards: It is just like the card game of War, but with the fraction cards instead. This game helps students to compare fractions and encourages them to use number sense in comparison before using the algorithm of making equivalent fractions. Memory Memory with the fraction cards: It is just like the traditional "Memory" game, but any equivalent fractions are considered a match so 1/2 would be a match with 2/4. This game helps them to identify equivalent fractions. You can also play this game with fraction to decimal equivalence by making a set of decimal cards too. Fraction/Decimal Bingo Fraction/Decimal Bingo: The students have game boards with decimals on them. You call out fractions and if they have the decimal equivalence they can mark it on the board. Kimberly, 5/31 and 6/1 on teachers.net math board

students to skip boring lessons they have already mastered and allows them to move on to targeted lessons.

Knewton launched two first-year college math courses – College Mathematics and College Algebra – and a self-paced Math Readiness for College course

, Knewton has been adopted by Penn State University, the University of Nevada, Las Vegas, Mount St. Mary’s University, Washington State University, and Education Management Corporation.