Help build your students’ ability to find a fraction of a number with this beginner set of task cards and printables. The 32 task cards in this set present students with visual models of fraction of a number. Extend your students’ practice (or assess their level of mastery) with the two included worksheets. With these resources, your students will grow stronger in their understanding of this key fractional concept.
• 32 task cards
• 8 self-checking "answer cards"
• graphic reference sheet
• task card answer sheet and key
• 2 two-sided assessment tasks and scoring guide
The materials in this set all relate to finding a fraction of a number. Finding a fraction of a number is not an explicit standard in the Common Core State Standards for Mathematics. However, the thinking your students will do as they work with these resources will lay the foundational skills necessary for thinking about multiplying a fraction by a whole number (5.NF.4) in terms of finding a/b (part) of c (whole).
The printables consist of a graphic reference sheet and two different two-page worksheets. The graphic reference sheet illustrates three models for representing fraction of a number. The three models on the reference sheet are the same as the models used on the cards. Before you have your students complete the cards, you can have them glue the reference sheet in their journals. Your students can use the journal insert as a guide while they work on the cards, as well as when they complete other tasks that relate to finding a fraction of a number.
The fractions used on the 32 cards in this set are all unit fractions, and the whole numbers are all multiples of the fractions’ denominators, allowing for students to more readily notice the patterns present when finding a fraction of a number. While all the cards address the same concept, they are ordered by difficulty level. The first 8 cards show an array of objects that match the whole number in the question, allowing student to use the objects to help them find the fraction of the set. Cards 9-16 provide a bar model of the problem, while cards 17-24 give a number line model of the problem. The models are designed to help students see the relationship between the fractional part and the numeric whole, as well as to illustrate methods they can use when they do not have a model. The final 8 cards, cards 25-32, simply present the students with a question without a model. By presenting students with arrays, followed by bar models, then number lines, and finally no model at all, students are required to think in a progressively more abstract manner as they move through the cards.
Included in this set are eight “answer cards” that can serve as a resource if you use a self-paced structure for implementing the task cards. Often, I would have kids work in pairs on cards while I circulated to spot check and give feedback to pairs of students. Naturally, I would get backed up and not be able to reach as many kids until after they had already made many mistakes. I designed these answer cards so that the students could check themselves: catching errors, figuring out for themselves what they did wrong, and (hopefully) avoiding the same mistake on later cards.
The two provided assessment activities can be used to evaluate student understanding of visual models for fractions and finding a fraction of a given number. The worksheets are formatted similarly, and have similar types of questions, though the numbers on each are different. You can use these activity pages in a variety of ways: pre-test/post-test, guided practice, homework, center assignments, or any other purpose that fits your teaching style or classroom routines.
For more practice with fractions, please check out the other related resources I have available –
Name That Equation fraction multiplication task cards + printables set
Fraction Puzzlers - fraction story problems task cards + printables set b
Fraction Attack – simplifying fraction ppt + printables set
Fraction Matchin’ equivalent fractions task cards + printables (set a)
Fraction Matchin’ equivalent fractions task cards + printables (set b)
Monkey Mania & Jumping Giraffes equivalent fractions games + task cards bundle
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