# Fundamental Problem Solving Concepts

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Students work in a whole-class setting, independently, and with partners to design and implement a problem-solving plan based on the mathematical concepts of rates and multiple representations (e.g., tables, equations, and graphs). They analyze a rule of thumb and use this relationship to calculate the distance in miles from a viewer's vantage point to lightning.

# Key Concepts

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 the 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 the 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.
• Create a rate table to organize data and make predictions.
• Apply the relationship between the variables to write a mathematical formula and use the formula to solve problems.
• Create a graph to display proportional relationships, and use this graph to make predictions.
• Articulate strategies, thought processes, and approaches to solving a problem, and defend why the solution is reasonable.