Help build your students’ proficiency with adding and subtracting mixed numbers with like denominators with this set of task cards and printables. The 48 task cards will provide your students with the necessary practice to build their ability to add and subtract mixed numbers with like denominators. Extend your students’ practice (or assess their level of mastery) with the four included activity sheets. With these resources, your students will grow stronger in their understanding of key fractional computation concepts.
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.
• Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
• 3 graphic reference sheets
• 48 task cards
• 12 self-checking “answer cards”
• task card answer sheet and key
• 4 assessment activities and key/scoring guide
This set is a follow-up to my Froggy Fractions
task card set. That set addressed the same concept of adding and subtracting fractions with like denominators, using only proper and improper fractions. If you are looking for some materials to use as an introduction to adding and subtracting with like denominators, the Froggy Fractions
set may be a useful starting point.
This set features 48 cards, created so that each set of four (cards 1-4, 5-8, 9-12, etc.) have similar problem types. Cards 1 through 4 feature addition and subtraction problems that require no regrouping, while the other 44 cards feature problems that involve regrouping in order to make or cross a whole. Cards 5 through 20 feature just addition problems, and cards 21 through 48 feature just subtraction problems. Within those sets of addition and subtraction problems, the mixed numbers and fractions used, as well as the problem types, build in difficulty. The problem types include:
• finding the sum of a mixed number & a proper fraction
• finding the sum of two mixed numbers
• identifying a missing addend when adding a mixed number & a proper fraction or two mixed numbers
• find the difference of a whole number & a proper fraction
• finding the difference of a whole number & a mixed number
• find the difference of a mixed number and a proper fraction
• finding a missing minuend or subtrahend when subtracting a whole number & proper fraction, a mixed number & a proper fraction, or a whole number & a mixed number
• finding the difference of two mixed numbers
The denominators on these cards are limited to the ones identified by the Common Core Standards for Grade 4 as “limiters”: 2, 3, 4, 5, 6, 8, and 12. These fractional units are commonly used on commercially-made fraction bars, fraction circles, and fraction squares, allowing for easy differentiation within the math class. If you have students that are still building an understanding of fractional sizes and relationships, you may choose to give them a set of fraction manipulatives with which to complete the cards.
The printables consist of three graphic reference sheets and four different one-page worksheets. The first of the two graphic reference sheets is half-page size and presents the terms “added”, “sum”, “minuend”, “subtrahend”, and “difference” in the context of addition and subtraction equations. [NOTE: This reference sheet is nearly identical to one of the reference sheets found in my Froggy Fractions
task card set.] The second reference sheet is full-page size and shows students three different ways that renaming and regrouping can be used to find the difference of a mixed number and a proper fraction. The third reference sheet shows how a visual representation and equations can be used to model the subtraction of two mixed numbers when regrouping is required.
The four provided activity sheets can be used to evaluate student understanding of adding and subtracting mixed numbers and fractions with like denominators. Two of the activity pages are relatively straightforward, with each containing nine addition and subtraction equations for which the students must find the unknowns. The problems on the activity sheets match the problem types on the cards so these activity sheets could easily be used as pre/post assessments with the cards.
The other two activity sheets are designed to address a student’s ability to analyze solution strategies. These two pages present the student with a problem as well as the work and incorrect answer of another student. The student is asked to evaluate the incorrect answer for reasonableness, and then to identify and explain the error in the hypothetical student’s work.
For more practice with fractions, please check out the other related resources I have available –
Marina Mix-Up mixed numbers & improper fractions task cards + printables
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