Are you ready to rethink fraction operations? Discover more.
#1 – Reflections on Fraction Operations
First, let’s consider your favorite layered dessert. Do you eat one layer at a time? Or do you prefer all flavors and textures to hit you all at once? As I study the design of the layers, it makes me think of fractions. Each layer is a bit different, though as a whole, it is cake. When I rethink fraction operations, I realize that fractions, like the slice of cake, exist as a big idea, fraction operations. The parts or the different types of operations:
- 1. Add and subtract fractions with like denominators
- 2. Add and subtract fractions with unlike denominators
- 3. Multiply fractions
- 4. Divide fractions
#2 – Provide a Solid Foundation
Second, before we teach fraction operations, students must have a thorough understanding of the following:
- 1. Multiplication facts
- 2. The difference between mixed numbers, proper, and improper fractions
- 3. An ability to convert between mixed numbers, proper, and improper fractions
- 4. Confidence reducing fractions
- 5. Ability to determine the least common multiple between two or more fractions.
- 6. Experience using manipulatives to visualize fractions.
#3 – Present the Big Picture from the Start
Third, present the big picture, the whole slice of cake from the start. Anchor charts work well for this. The anchor chart must at least start with the use of proper or improper fraction examples. The anchor chart information must be reviewed every day. Other items the anchor chart must include:
- 1. Title of each operation
- 2. Steps for solving
- 3. An example problem with illustrated steps.
#4 – Student Graphic Organizers
Third, provide students with a layout of the same anchor chart, though with parts missing that they must fill in every day. Within a week, students will have a greater understanding of the whole and its parts.
Conclusion
In conclusion, an introduction to the big picture and parts associated with each operation will increase student success.
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