Exploring Proportions in the Real World
Before you start the lesson, give students a pre-quiz to find out what they already know about proportions. You could include questions about equivalent ratios, unit rates, and ratio language to activate their prior knowledge, which will put them in a great mindset for these activities.
2 Direct Instruction
The introduction to proportions video on BrainPop shows an excellent real-world example of problem solving using proportions. Show students the video, then walk them through several more examples of how to solve proportion problems.
3 Guided Practice
The free lesson "On Your Mark" from Mathalicious asks a compelling question: Do taller runners have an advantage in Olympic track races? What if runners had to complete a distance proportional to their height, instead of all runners covering the same distance? Your students will get lots of experience practicing writing and solving proportions in this lesson.
4 Independent Practice
To cement and generalize their knowledge of solving proportions, students can practice on IXL.com. This website has several options for proportion problems, including story problems. Your students will receive instant feedback on their answers, and can monitor their progress with their SmartScore. Best of all, the teacher can easily see who has mastered the content and who needs more support.
Kahoot! is an awesome way to wrap up any math unit. Include a variety of question types and answer options for a rich, summative assessment that's way more fun than a paper-and-pencil quiz! Students will love the quick game format, and the teacher can use the data collected by the game for future planning.
Key Standards Supported
Ratios And Proportional Relationships
|7.RP: Analyze Proportional Relationships And Use Them To Solve Real-World And Mathematical Problems.|
|7.RP.2||Recognize and represent proportional relationships between quantities.|
|7.RP.2.a||Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.|
|7.RP.3||Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.|