For all levels

-Play in pairs or groups of 3

- Each pair/group needs 12 2 sided counters

- Each person needs a piece of scrap paper or a small whiteboard and a pencil or marker

- Each game has 5 rounds. If pairs/groups finish one game and were fluent, move them onto the next level, otherwise have them play another game at their current level.

#### Level 1

The kids who needed more work really needed some more conceptual development around equivalent fractions. Here is a look at a record sheet from round 1I love level 1 for 4th graders and intervention/early 5th graders because it can be very hands on and there is a great deal of visual support. Take a look

This student is proving to their partner how 4/12 is the same as 1/3 by moving and re-grouping the counters |

Now the same pair is showing how 4/12 is also equal to 2/6 by moving and re-grouping the counters |

#### Level 2

The fifth graders are also working on adding fractions. For level 2 I had them each take 5 turns and record one fraction each time. Then they had to find the sum of the 5 fractions they rolled. This was great because even though the recorded some in twelfths, some in thirds, some in halves, etc, they had just practiced finding equivalent fractions and were able to quickly convert between equivalent fractions in order to find the sum of 5 different fractions. Take a look at a record sheet from level 2

I loved that they were finding the sum of 5 different fractions and that the sum often went over 1 and sometimes even over 2. It was a great way to practice (with hands on materials as a back-up) a lot of the skills that fifth graders are required to have. Each student played several games on level 2.

#### Level 3

This level was for my advanced students and some students who had been exposed further to fraction operations. They had to shake and drop the 12 counters and figure out what fraction of the counters were red. Then then had to come up with equations that equaled that number. In round 1, they had 1 equation, round 2 required 2 different equations all the way up to round 5 which had 5 different equations. I LOVED this version because they had the answer and had to come up with the problem. Depending on their comfort level, the equations varied quite a bit in complexity and uniqueness. Here is a peak at 2 different record sheets from this level.

A record sheet from level 3. Notice each equation got circled as their partner checked it. The partner circling the equation meant that they agreed |

Another record sheet from level 3 |

I love activities like this! No prep required, minimal materials and completely differentiated to meet kids below, on and above grade level. The best part is that the kids really think everyone is playing the same game. Because the materials are the same and some of the rules, they don't see how much they vary in difficulty. This series of games will become a math center during Guided Math time later in the week!

How do you differentiate learning for your kids?

I love working with fractions with a dozen--it works really well with egg carton math. I have made two posts about it during the last month. nice to find another math fanatic : )

ReplyDeleteKids Math Teacher

Hi Lucy,

DeleteI also love fractions with a dozen. My students have used egg cartons, clocks and rulers in fourth and fifth grade but level 1 was a great way to revisit that with kids who needed it. Can't wait to check out your blog!

I am ready to use this game with my son. We are practicing fractions this summer, in preparation for the new school year's math curriculum (which is fraction-heavy). Thank you for sharing this game, and for adding the levels of complexity (very important for a classroom of diverse learners).

ReplyDeleteHi Evie,

DeleteThanks for the lovely comment! I am so glad you are able to use this with your son. It is a great game to work on conceptual development. Hope he has a successful year!

I am teaching third grade and would love some ideas on helping mine understand fractions better.

ReplyDeleteI would recommend you read A Focus on Fractions. It is a great book full of research and interesting ideas. It also demonstrates how to use formative assessment to uncover misconceptions.

DeleteThis is an amazing idea. I could see the 4th to 7th graders at our school really using this activity to get those fraction skills in check.

ReplyDeleteThank you.

Sheri

I love the first idea. I can even use this with some of my 3rd graders. No prep, just the way I like it. :)

ReplyDeleteDaisy Fryer at Not Your Mother's Math Class