Objectives:
- To understand what ratio and proportion are
- To be able to write ratios and calculate proportions
- To apply their understanding of ratio and proportion to real-life problems
Materials:
- Whiteboard and markers
- Handout worksheets
- Calculator (optional)
Introduction (10 minutes):
- Ask the students what they know about ratios. Write their responses on the board.
- Provide a definition of ratios: A ratio is a comparison of two or more quantities.
- Give an example of a ratio and ask the students to write it in two different ways.
- Introduce the concept of proportion: A proportion is an equation stating that two ratios are equal.
- Provide an example of a proportion and ask the students to solve it.
Development (20 minutes):
- Distribute the handout worksheet to the students and ask them to complete the first section on writing ratios in different ways.
- Monitor their progress and offer assistance as needed.
- After the students have completed the first section, go through the answers as a class.
- Ask the students to complete the second section of the worksheet which involves calculating proportions.
- Monitor their progress and offer assistance as needed.
- After the students have completed the second section, go through the answers as a class.
- Ask the students to complete the third section of the worksheet which involves solving real-life problems that involve ratios and proportions.
Conclusion (10 minutes):
- Review the answers to the third section of the worksheet as a class.
- Ask the students to explain in their own words the steps they took to solve each problem.
- Sum up the key points covered in the lesson and emphasize the importance of understanding ratios and proportions in real-life situations.
Assessment:
- Observation of student participation and understanding during the class discussion.
- Review of completed worksheet to assess the students' understanding of writing ratios, calculating proportions, and applying it to real-life problems.