Fractions with a numerator that is less than the denominator, such as 1/2 or 3/8, are called proper fractions. When the numerator is greater than the denominator, such as 4/3 or 15/2, we call these fractions improper fractions.
In this activity, students will write a fraction story that shows an example of improper fractions. The story may or may not include instructional or explanatory cells. Consider providing students with the scenario they should work from if they need more scaffolding. You can edit the example storyboard and use it as a second template for the assignment.
(These instructions are completely customizable. After clicking "Copy Activity", update the instructions on the Edit Tab of the assignment.)
Student Instructions
Create a story that uses examples of improper fractions.
Gather fraction manipulatives such as fraction circles, bars, or tiles to make improper fractions more tangible for students. Hands-on tools help bridge abstract concepts and concrete understanding.
Show how to build a mixed number (like 1 2/3) using whole and fractional pieces, then combine all the pieces to form an improper fraction. This helps students see how parts add up to more than one whole.
Let students use manipulatives to model different improper fractions and explain their thinking. Students take ownership and deepen understanding through active participation.
Guide students in matching their models to numerical representations of improper fractions and mixed numbers. Making these connections reinforces fraction concepts.
Invite students to share their models and reasoning with a partner or the class. Sharing encourages communication and helps clarify misunderstandings.
Improper fractions have a numerator larger than the denominator (like 7/4), while mixed numbers combine a whole number and a proper fraction (like 1 3/4). Both represent values greater than one but in different forms.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the sum over the original denominator. For example, 2 1/3 becomes (2×3 + 1)/3 = 7/3.
Use storytelling, visual aids, and real-life examples (like pizza slices or measuring cups) to help students understand improper fractions. Hands-on activities and converting mixed numbers can make learning more engaging and clear.
Understanding improper fractions helps students solve more complex math problems, convert between fractions and mixed numbers, and apply math in real-world situations like cooking or measuring.
Sure! For example, "Amy baked 5 pies and cut each into 4 slices. She ate 7 slices. That's 7/4 pies, an improper fraction showing more than one whole pie eaten." Stories like this help students connect fractions to everyday life.