Ratio - Ratio and Proportion Problems (1) - Presentation

In a series of lessons on Ratio and Proportion Problems, students are tasked with applying their understanding of ratios to solve practical problems in various contexts. The lessons begin with a review of key terms such as ratio, proportion, enlargement, and scale factor, setting the stage for a deeper exploration of these concepts. The first activity presents a recipe designed to serve six people, and students are challenged to adjust the quantities of ingredients like onions, butter, lentils, stock, and tomato juice to cater to different numbers of people: three, nine, and one. This exercise not only reinforces the concept of ratio but also tests students' ability to divide and multiply to scale the recipe up or down accordingly.

The subsequent activity shifts focus to real-world application, comparing the value for money offered by two different shops selling chili. Students calculate the cost per gram at each shop to determine which one provides the better deal. This practical example illustrates the use of ratio in everyday decision-making. Another reasoning task involves a pancake recipe, where students must figure out the maximum number of pancakes that can be made with a given amount of flour and then calculate the required amounts of the other ingredients. The lesson series concludes with independent work where students read and solve ratio and proportion problems, demonstrating their understanding through clear calculations. They are encouraged to discuss how these problems relate to ratio, represent the ratios using bar models, and reflect on the similarities and differences between them.