 Math, Grade 7
 Proportional Relationships

Identifying Errors In Reasoning
 Exploring Numerical Relationships
 Identifying Proportional Relationships
 Defining The Constant Of Proportionality
 Proportional Relationships In Graphs
 Graphing A Table Of Values
 Solving Proportional Relationship Problems
 Expressing Ratios As A Unit Rate
 Identifying Verbal Descriptions
 Formula's Using The Constant Of Proportionality
 Analyzing Proportional Relationship Graphs
 Solution Strategies
 Gallery Problems Exercise
 Connecting Percentage To Proportional Relationships
 Creating Equations, Tables & Graphs
 Percent Increase Problems
 Percent Decrease Problems
 Identifying Errors In Reasoning
 Understanding Percent Change
 Solution Strategies (Feedback)
 Gallery Problems Exercise
Instructor Overview
Students are given a collection of statements that are incorrect. Their task is to construct arguments about why the statements are flawed and then correct the flawed statements.
Key Concepts
 Percent change is a rate of change of an original amount.
 In two situations with the same percent change but different original amounts, the percent amount will be different because the percent amount depends directly on the original amount. For example: 50% of 20 is 10. 50% of 10 is 5.
 Similarly, in two situations with the same amount of increase but different original amounts, the percent change of each amount is different. For example: Suppose two amounts increase by $5. If one original amount is $20, the increase is 25%. If the other original amount is $25, the increase is 20%.
Goals and Learning Objectives
 Identify errors in reasoning in percent situations.
 Use examples to explain why the reasoning is incorrect.
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