Activity Overview
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.
Template and Class Instructions
(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.
- Click "Start Assignment".
- In the first cell, introduce a mixed fraction.
- In the second cell, turn that mixed fraction into an improper fraction.
- In the third cell, reiterate the equal numbers.
- Use the bottom row to explain the process of changing a mixed number into an improper fraction.
- Create visuals for your story using appropriate scenes, items, and characters.
Lesson Plan Reference
Activity Overview
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.
Template and Class Instructions
(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.
- Click "Start Assignment".
- In the first cell, introduce a mixed fraction.
- In the second cell, turn that mixed fraction into an improper fraction.
- In the third cell, reiterate the equal numbers.
- Use the bottom row to explain the process of changing a mixed number into an improper fraction.
- Create visuals for your story using appropriate scenes, items, and characters.
Lesson Plan Reference
How Tos about Improper Fractions and Mixed Numbers
How to Help Students Visualize Improper Fractions with Manipulatives
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.
Demonstrate converting mixed numbers to improper fractions using pieces
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.
Encourage students to build their own improper fractions
Let students use manipulatives to model different improper fractions and explain their thinking. Students take ownership and deepen understanding through active participation.
Connect visual models to written fractions
Guide students in matching their models to numerical representations of improper fractions and mixed numbers. Making these connections reinforces fraction concepts.
Check for understanding with quick sharing
Invite students to share their models and reasoning with a partner or the class. Sharing encourages communication and helps clarify misunderstandings.
Frequently Asked Questions about Improper Fractions and Mixed Numbers
What is the difference between improper fractions and mixed numbers?
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.
How do you convert a mixed number to an improper fraction?
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.
What are some easy ways to teach improper fractions to 4th or 5th graders?
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.
Why is it important for students to understand improper fractions?
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.
Can you give an example of a story that uses improper fractions?
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.
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