Conversions: Fractions to Decimals.

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Introduction lesson on why we need to be able to convert between fractions, decimals and percentages. EG - why and how we use them in the real world.
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Lesson Plan: Understanding Conversions among Fractions, Decimals, and Percentages

Class Details

- Year Level: Year 8
- Number of Students: 35
- Subject: Mathematics
- Duration: 20 minutes

Curriculum Reference

This lesson aligns with the New Zealand Curriculum specifically targeting Level 4 of the Mathematics and Statistics learning area. It addresses the achievement objectives related to number and algebra, focusing on "knowing the equivalent fractional, decimal, and percentage forms and using these to find part-whole relationships."
- NZ Curriculum - Mathematics Level 4

Lesson Objectives

By the end of this lesson, students will:
1. Understand the importance of being able to convert between fractions, decimals, and percentages.
2. Apply conversions in solving real-world problems.

Materials Required

- Whiteboard and markers
- Projector and screen (for presentation)
- Handouts with exercises
- Calculators

Lesson Outline

1. Introduction (5 minutes)

- Greeting and Overview: Briefly outline the lesson’s objectives and its relevance to everyday situations.
- Engagement Question: Ask the class, "Can anyone tell me where you have seen fractions, decimals, or percentages used outside of school?" Allow a few responses to build context.

2. Real-World Applications (5 minutes)

- Discussion: Explain how different professions use these mathematical concepts:
- Cooking and Baking: Recipes often require adjustments, which involve fractions (e.g., half a cup) and conversions to decimals when scaling up or down.
- Shopping: Discounts, sales tax calculations, and comparing prices often require understanding and converting percentages and decimals.
- Building and Construction: Measurements often need to be very precise, requiring conversions between decimals and fractions.

Use visual aids or slides to show examples such as price tags, recipes, or construction plans to make these applications tangible.

3. Demonstration (5 minutes)

- Interactive Example: Use a common scenario, such as dividing a pizza among people (fractions) and applying a discount (percentage) to illustrate how conversions are made. Calculate the cost per person using decimals.
- Show the step-by-step conversion process on the whiteboard:
- Fraction (e.g., 1/2) to Decimal (0.5)
- Decimal (0.5) to Percentage (50%)

4. Guided Practice (5 minutes)

- Worksheet Activity: Distribute handouts with simple conversion problems related to real-world contexts (e.g., find the decimal value of a 25% discount, convert it to a fraction). Students use calculators to practice conversions under teacher guidance.
- Walk around to offer assistance and ensure understanding.

Closure (2 minutes)

- Recap and Reflect: Summarize the key points covered in the lesson. Ask students to think of one place they might use these conversions outside of school.
- Homework Assignment: Assign a few conversion tasks that involve looking at advertisements, recipes, or construction problems where they need to apply today’s lesson.


- Observe student participation during discussions and ability to complete worksheet problems accurately.
- Review the homework for correct application of conversion concepts in real-world scenarios.

Additional Resources

- For further practice and deeper understanding, guide students to the interactive resources available on NZ Maths.


After the lesson, review student responses to gauge their understanding and identify any areas that need reinforcement in future sessions. Adjust the complexity of real-world examples based on student engagement and comprehension levels.
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