This is an introduction of proportions and the reasoning behind them. A series of word problems and real world applications will help students understand the purpose of proportions and how to solve them. This lesson introduces Proportional Reasoning using a hook students will find interesting: How old are you in Martian Years?
Following the conclusion of this lesson, students should:
1. Have developed a deeper understanding of proportions and their properties
2. Be able to justify cross multiplication
3. Apply proportions to some real life examples
In this lesson, students may face difficulties in:
• Read through hook, have students discuss how to solve.
• Walk them through the process.
• Calculate the different answers needed.
• Give them properties.
• When going through proof, explain what you do to one side you must do the other. (Same with fractions, it is one of a common theme).
• Work through proportion questions. Talk them through question 2 and 3. They might not know what to do in 3, when you can’t compare each other. Discuss comparing different parts in the same whole.
• Show another way to look at problems. Similar to question 3.
This lesson was created for a methods class. It is not part of a unit. I am currently student teaching and was told about this site by my cooperating teacher. I hope this helps someone out there! At the very least hopefully it will spark some ideas!