This set of I Have…Who Has?
activity cards and self-checking puzzles will get your kids thinking about fraction decomposition. The 32 activity cards are provided in both a full set and two half-sets, making it a snap to use with either a large class or a small class. No matter how many kids you have in your class, though, they will love the self-checking puzzles - and you’ll love not having to check them!
Common Core State Standards for Mathematics addressed:
Numbers and Operations – Fractions (4.NF)
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
• Decompose a fraction into a sum of fractions with the
same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. (4.NF.3b)
Decomposition is a major concept in the Common Core. From first through fourth grades, students are expected to be able to break wholes down into parts, recognizing that wholes can be broken down in a variety of ways and that the parts can always be recombined to make the whole. Students who have the flexibility to decompose numbers in a variety of ways are often more efficient with their computation, able to mentally solve problems that other students might have to labor over the algorithm to solve.
Typically, students have been taught to decompose numbers in a certain way, to use the places of a number to record the number in expanded form. Common Core expands decomposition, requiring students to be able to decompose shapes, angles, and fractions. When I first had to teach fraction decomposition, I realized that there were very few resources to help students practice this concept, so I designed these resources to meet that need.
• 32 I Have…Who Has?
• 3 self-checking puzzles (with answer keys)
There is a full set of 32 “I Have, Who Has?” cards, two smaller, 16-card “half-sets” that use the same questions and answers as the full 32-card sets, and a master list of the questions and answer on the cards. The cards in the set have a unique question and answer, and none of the questions or answers are repeated. There is no specific starting card as the 32 cards loop around. Any student can begin, and since none of the questions or answers are repeated, the cycle will eventually lead back to whatever student began the activity.
The cards use a mix of proper and improper fractions. While none of the fractions themselves repeat there are some fractions that are equivalent. For example, one card uses the fraction 8/12 while another uses 2/3. When using the cards, you will have to let the students know that the matching cards always use the same denominator. For instance, if someone reads, “Who has an expression with a value of 4/4?”, the matching card will have an expression that uses fourths.
Included with the cards is a master list all the questions and answers on each of the cards. If you want to follow along with the students, you can have the student with a particular card begin, and use the master list to keep track of what card will be up next in case a student needs a hint. Alternately, you can have any child begin, and if you locate their statement and question on the sheet, you will be able to use the list to follow along in sequence.
This set is versatile and is designed to accommodate both large and small groups. There are 32 cards in the full-set to accommodate large classes. You can still use the entire set even if you don’t have 32 students by having some students hold two cards at once. However, if you much fewer than 32 students and you want to get more use out of each set, I have included a pair of “half-sets” for each set of 32 cards. These half-sets contain 16 cards and are identified as Set A1 and Set A2. They have the exact same numbers and expressions from the original sets of 32, but they are split into two groups and have their “ending” cards altered so that the 16th card loops back to the 1st card and the 32nd card loops back to the 17th card. If you have a class size closer to 16, you can use a half-set, such as Set A1, doubling up cards or kids as needed if you don’t have exactly 16 kids, and use the half-set with your class one day, saving the other half-set for a different day.
In order to allow for easier separation and sorting of the cards, each full set and each half-set has its own dinosaur icon in the upper right corner. The full set has a Tyrannosaurus Rex, while the 16-card half-sets have different dinosaurs, with the first half-set (Set A1) featuring a triceratops and the second half-set (Set A2) featuring an apatosaurus. The cards are also labeled in the bottom right corner as an additional indication of what set the card belongs to – Set A, Set A1, and Set A2.
Follow-up the cards with any of the three self-checking puzzles that focus on fraction decomposition. Use these riddles as classwork, partner practice, center work, homework assignments – any way that suits your class’s needs!
Looking for more resources to build your students’ proficiency with decomposing fractions? Then check out Break It Down!
, a set of task cards, assessment activities, and other printables, all focused on fraction decomposition, or Dinosaur Decomposers
, a set of games and number line-based resource materials.
All three of these products are available in one, money-saving bundle: Decomposing Fractions
. Buy this bundle and save nearly 25% off the cost of the individual products!
For practice with other fraction concepts, please check out the other related resources I have available –
Fraction Matchin’ equivalent fractions task cards + printables (set a)
Monkey Mania & Jumping Giraffes equivalent fractions games + task cards bundle
Froggy Fractions - adding/subtracting like denominators task cards + printables
Flipping for Fractions activity card set
FREE self-checking mixed numeral/improper fraction puzzle set
I hope your students enjoy these resources and are able to build their proficiency with fractions. – Dennis McDonald