In this lesson, learners will demonstrate an understanding of mixed fractions, which are composed of a whole number and a fractional part. Students will recognize mixed fractions in visual, contextual, and numerical formats.
Students will be able to:
Reference: NCERT Book Alignment
The lesson is aligned with the NCERT Grade 6 Mathematics Textbook, Chapter 7: Fractions.
Section: 7.5 – Mixed Fractions.
By the end of the lesson, students will be able to:
Visualize and apply mixed fractions to real-world scenarios (e.g., sharing pizza, measuring ingredients).
In this session, students will explore mixed fractions, which consist of both a whole number and a fractional part. Through real-life examples, such as sharing a pizza or measuring ingredients, students will learn to visualize and calculate mixed fractions.
| Title | Approximate Duration | Procedure | Reference Material |
|---|---|---|---|
| Engage | 5 | Ask: “If you and a friend shared a pizza equally, how much would you get?” Show an image of a whole pizza and a half pizza. Ask: “Can we describe this with numbers?” Prompt: “Let’s discover how to describe parts of a whole using math!” | Slides |
| Explore | 10 | Distribute shape cut-outs (circles, rectangles) for hands-on experience with fractions. Ask students to guess the pizza slice’s mixed fractions as shown in the PPT. Use visual aids such as chocolate bar strips or paper models to demonstrate mixed fractions. Pair discussion: “What part of your shape is shaded? How do you know?” | Slides |
| Explain | 10 | Explain what a mixed fraction is: A whole number and a fraction less than 1. Differentiate proper fractions, improper fractions, and mixed fractions. Show how to convert improper fractions to mixed numbers and vice versa. Explore patterns: fractions less than 1 and greater than 1. Demonstrate using the Virtual Lab with sliders for whole number, numerator, and denominator. Show real-life examples such as cooking, time, and measurements. | Slides and Virtual Lab |
| Evaluate | 10 | Students attempt Self Evaluation questions on LMS | Virtual Lab |
| Extend | 5 | Think-Pair-Share Where in your life have you seen or used mixed fractions? Can you think of other places they might be used? | Slides |
In this lesson, students will learn about mixed fractions and how they are used to represent numbers greater than 1, combining whole numbers and fractions. Through interactive examples, such as dividing a circular shape, students will explore how mixed fractions work and why they are useful in real-life scenarios.
Introduction: Why Mixed Fractions?
Have you ever had more than one whole pizza and wanted to describe the extra part you have? Mixed fractions help us describe numbers that are greater than one but still have a fractional part. They’re a combination of a whole number and a fraction.
For example, when you have 2 pizzas and 1/3 of another pizza, you can represent it as a mixed fraction: 2 1/3.
What is a Mixed Fraction?
A mixed fraction is made up of:
Example:
In the mixed fraction 2 1/2,
Converting Improper Fractions to Mixed Fractions
Example:
To convert 7/3 to a mixed fraction:
Visual Representation of Mixed Fractions
Imagine you have a whole pizza and half of another. You could represent it as:
In visual terms, it could be shown as two whole circles (representing the full pizzas) and a half circle (representing the 1/2 pizza).
Why Are Mixed Fractions Useful?
Mixed fractions are used in various real-life situations where we have both whole numbers and parts of a whole:
Money: When you have $5 and 75 cents, you might say you have “5 3/4 dollars”.
This is the list of vocabulary terms used throughout the lesson.
The Mixed Fractions VR Lab allows students to visually and interactively explore mixed fractions. By combining whole numbers with fractions, learners can understand how they work together. Using intuitive sliders and circle visuals, students can experiment, observe real-time changes, and reinforce their learning through an engaging quiz at the end.
Step-by-step Procedure for VR Experience