During this two-day lesson, students work with a partner to create and implement a problem-solving plan based on the mathematical concepts of rates, ratios, and proportionality. Students analyze the relationship between different-sized gummy bears to solve problems involving size and price.
Throughout this unit, students are encouraged to apply the mathematical concepts they have learned over the course of this year to new settings. Help students develop and refine these problem-solving skills:
- Creating a problem solving plan and implementing their plan systematically
- Persevering through challenging problems to find solutions
- Recalling prior knowledge and applying that knowledge to new situations
- Making connections between previous learning and real-world problems
- Communicating their approaches with precision and articulating why their strategies and solutions are reasonable
- Creating efficacy and confidence in solving challenging problems in a real world
Goals and Learning Objectives
- Create and implement a problem-solving plan.
- Organize and interpret data presented in a problem situation.
- Analyze the relationship between two variables.
- Use ratios.
- Write and solve proportions.
- Create rate tables to organize data and make predictions.
- Use multiple representations—including tables, graphs, and equations—to organize and communicate data.
- Articulate strategies, thought processes, and approaches to solving a problem, and defend why the solution is reasonable.