Fraction Wheel and Fraction Fringe
Easily create hands-on manipulatives to teach and reinforce fractions.
The Fraction Wheel and Fraction Fringe are excellent math manipulatives that can be used to represent anything from equivalency to standard measurement. For extra practice, allow students to use the Fraction Fringe and Wheel during guided instruction and independent study. Use manipulatives to verbally explain fractions and show in written form. Advanced learners can find real world uses for the Fraction Fringe and Fraction Wheel.
The teacher can explore creative ways for using the Fraction Wheel and Fraction Fringe in any subject area.
Fraction Wheel Applications:
- EQUIVALENT FRACTIONS can be demonstrated using the Fraction Wheel. Students manipulate the wheel to show equivalency. Students also estimate fractions with the Wheel.
- PERCENTAGES AND GRAPHING can also be demonstrated using the Fraction Wheel. The teacher may ask students to show percentage of students wearing particular colors using the colored Wheels. These Wheels can then be used as pie graphs.
- NATIVE AMERICAN HISTORY comes to life when students use the Fraction Wheels as medicine wheels to study Native American culture.
Fraction Fringe Applications:
- EQUIVALENT FRACTIONS can be demonstrated using the Fraction Fringe. Using the Fraction Fringe #1, students lift up a 1/4 Fringe and see that two of the 1/8 Fringes and four of the 1/16 Fringes are equivalent. Students lift up two of the 1/8 Fringes and see that those Fringes are equal to 1/4 and therefore will reduce. However, if students pick up three of the 1/8 Fringes, those Fringes are not equivalent to anything and will therefore NOT reduce. Students may also use Fraction Fringe #2 in a similar way.
- PERCENTAGES AND DECIMAL POINTS can also be added to the Fringes to show conversions.
- LIQUID MEASUREMENT can be shown by labeling the Whole Fringe as a Gallon, the 1/2 Fringes as Half Gallons, the 1/4 Fringes as Quarts, the 1/8 Fringes as Pints and the 1/16 Fringes as Cups.
- LINEAR MEASUREMENT can be shown too. The Whole LG Fringe is 4" long. On the LG die, the 1/2 Fringes are 2" long, 1/4 Fringes are 1" long, 1/8 Fringes are 1/2" long and the 1/6 Fringes are 1/4" long.
- GENEALOGY comes to life when the student lists his or her name on the Whole Fringe. Parents are listed on the halves, grandparents are listed on the quarters, etc.
Students learn to associate and understand fractions and more with the Fraction Wheel and the Fraction Fringe.
Note: The Fraction Fringe can be created using either Ellison AllStar or SureCut Dies.
Supplies Used: Adhesive Letters, Black Permanent Marker, Cardstock, Stapler
The teacher will die-cut the materials for student use prior to the lesson.
Fraction Wheel Instructions:
- Cut the Fraction Wheel from several colors of construction paper or cardstock.
- Layer the Wheels and gently slide one Wheel into the other to assemble (see Main Photo).
Fraction Fringe Instructions:
- When using the AllStar Fraction Fringe or SureCut Fraction Fringe #1 set, die-cut from five different colors of construction paper or cardstock. Laminate the paper prior to cutting for longer use (Figure A).
- Use adhesive letters or a permanent marker to label each piece: One Whole, 1/2, 1/4, 1/8 and 1/16. Students will write 1/2 twice and 1/16 sixteen times (Figure B).
- Place the Whole die-cut face up and layer the remaining die-cuts with the 1/16th die-cut on top. Align at the top of the Fraction Fringe die-cuts, staple and use (Figure B).
- Similarly, students can repeat steps when assembling the Fraction Fringe #2 (see Main Photo #2).
- Figure A
- Figure B
Mathematics, Grade 1: Geometry
1.G 3. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
Mathematics, Grade 2: Geometry
2.G 3. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
Mathematics, Grade 3: Number & Operations - Fractions
3.NF 3b. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Mathematics, Grade 4: Number & Operations - Fractions
4.NF 2. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Mathematics, Grade 5: Number & Operations - Fractions
5.NF 2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
Mathematics, Grade 6: The Number System
6.NS.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.For example, create a story context for (2/3) (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? Compute fluently with multi-digit numbers and find common factors and multiples.