This is the ultimate “print-and-go” resource for helping your students develop and strengthen their understanding of fraction/whole number relationships. With the games, task cards, and reference materials in this bundle, you will have everything you need to introduce, support, enrich, and assess your students as they explore fractional names for whole numbers.
The materials in this bundle are available separately: the Bamboo-zled
task card set, the Whole-y Fractions
task card set, and the Panda Pathways
games. The resources in this bundle are the same as those found in the individual products. By purchasing these materials in the bundle, however, you save over 20% of the cost of purchasing them individually.
Common Core State Standards for Mathematics addressed:
Numbers and Operations – Fractions
Develop understanding of fractions as numbers.
• Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. (3.NF.3c)
Fraction concepts are a major focus of the Common Core State Standards for Math in intermediate grades. Significant instruction with fractions begins in third grade, and by fifth grade, students are expected to be able to multiply and divide fractions. One major fraction concept is equivalence, and as part of this, students are expected to recognize and express fractions as whole numbers (and vice versa). Building a student’s flexibility with fraction and whole number names lays the foundation for later work with mixed numbers. Students who know that twelve-fourths equals three wholes will be more likely to quickly recognize that thirteen-fourths equals three and one-fourth without the work of a multi-step procedure. Later on, in fifth grade, students will be primed to understand fraction as division if they have a firm understanding of fractional names for whole numbers.
• 4 graphic reference sheets
• 64 task cards (2 different sets of 32 cards)
• task card answer sheets and keys
• 2 sets of 8 self-checking “answer cards” (1 per set of task cards)
• 2 gameboards & 2 sets of spinners
• gameplay recording sheet
• 8 assessment activities (with scoring guides)
The Whole-y Fractions
set of task cards is intended as a beginner set, designed for introducing the concept of whole number/fraction relationships. However, the cards are equally useful for reteaching students who are having trouble seeing the patterns evident in the whole numbers and their equivalent fractions.
Each card in the Whole-y Fractions
set presents the students with a visual model of a given number. There are four models used: circles, squares, bars (rectangles), and number lines. The students are asked to identify a whole number and equivalent fraction represented by the model. On the recording sheet, student will fill in an equation to show the relationship between the two numbers. By presenting a variety of pictorial models rather than just a numeric representation, your students are more likely to develop a firmly-grounded conceptual understanding of fraction/whole number relationships.
The printables that correspond to this set of task cards consist of a two graphic reference sheets and two different two-page assessment activities.
The first graphic reference sheet is half-page size and defines the terms “proper fraction” and “improper fraction”, presenting examples and models of each type. The other reference is two pages in length and uses four different models (the same four models used on the cards) to illustrate the relationship between whole numbers and their fractional names. This reference presents students with models of whole numbers 1 through 4, divided into eights, fifths, fourths, and wholes.
The two provided assessment activities can be used to evaluate student understanding of fraction/whole number relationships. However, you can use these activity pages in a variety of ways – guided practice, paired work, homework, center assignments, or any other purpose that fits your teaching style or classroom routines.
For a more complete description of the Whole-y Fractions
task cards, click here
set of task cards is intended as an intermediate set, designed for extending students understanding of whole number/fraction relationships. Unlike the Whole-y Fractions
set, these cards use only numeric representations of whole numbers and fractions. In addition, the cards present a variety of question types, challenging students to think about whole numbers and equivalent fractional names.
Each card presents a question and four answer choices. The questions on the cards vary, and there are four to five different types of questions on the cards. Some of the cards have one answer and others have more than one answer. The grammar of the cards (“Identify all of the fractions that…” or “Name the fraction that…”) are one indication that there may be more than one correct answer, and the directions on the task card answer sheet tell the students that there may be more than one correct answer. If your students are not used to working with activities that have multiple possible answers, they may need some explicit directions before working with the cards so they will know to look for more than one answer.
The printables consist of a graphic reference sheet (provided in color and grayscale) and four different one-page worksheets. The graphic reference sheet is full-page size and uses a circle model to show a variety of whole numbers and the equivalent fractional names. The four provided activity sheets can be used to evaluate student understanding of whole number/fraction relationships presented in numeric form. Two of the activity pages are relatively straightforward, while the other two activity sheets are designed to address a student’s reasoning about fraction/whole number relationships.
For a more complete description of the Bamboo-zled
task cards, click here
The two games in the Panda Pathways
set are designed to help students practice identifying fractions that are equivalent to whole number. The games are complementary, with Panda Pathways
featuring fractions on the board and whole number on the spinners, and Panda Pathways Two
is the reverse – whole numbers on the board and fractions on the spinner. As students play, a player spins to get a number, then moves his or her pawn to a connected number that is equivalent to the one spun.
As with the task cards, the fractions used in the two games are limited to those with denominators 1, 2, 3, 4, 5, 6, and 8, and the whole numbers are limited to 2, 3, 4, 5, 6, and 8. I chose to limit the numbers in this way in the hopes that the repeated exposures to the same fraction/whole number pairs would build my students’ automaticity with recognizing common fractional names for whole numbers. Another benefit to using just these denominators is that they match the fractional pieces used in most commercially-sold fraction manipulatives, such as fractions bars and fractions circles. This allows you to have your students use a concrete representation of the fractions on the board when you introduce the game.
While playing, students can use the accompanying reference sheet as a guide when matching the whole numbers and fractions on the board and spinners. The reference sheet presents number lines that have 0 and 6 as their endpoints. The number lines are divided into halves, thirds, fourths, fifths, sixths, and eighths, with whole numbers (and their equivalent fractional names) labeled on the number lines. Students can glue the sheets in their journals for handy reference as they explore other fraction concepts. You can even have the reference sheets enlarged to poster size and hang them in your room as a reference for your students during your fraction unit.
Also included are two one-page assessment tasks that are designed be used in conjunction with the number line reference sheets. They are formatted similarly, though the numbers on each are different. They require students to examine the fraction/whole number pairs on the number lines and write about the patterns evident in the numbers. Since the two tasks are similar, you may choose to use them as pre/post assessment; give one before you introduce the concept, allow the students time to interact with the number lines and play the games, and then give the second task to assess the growth in their understanding. You may also choose to use them instructionally, engaging your class in a discussion about the numbers and fractions on the number line and then having them pull together their thinking by communicating their understanding in writing.
For a more complete description of the Panda Pathways
games and printables, click here
For more practice with fraction concepts, you may find these other products helpful –
Monkey Mania & Jumping Giraffes equivalent fractions games + task cards bundle
Fraction Matchin’ equivalent fractions task cards + printables (set a)
Fraction Matchin’ equivalent fractions task cards + printables (set b)
Break It Down! decomposing fractions task cards & printables set
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