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Unit: Proportional Reasoning
Students work with an applet that allows them to run races between two cars by entering values for each car’s distance and time. They explore the effect on the cars’ speeds by first working with one quantity and then changing both distance and time. Through a series of diagram-construction activities, they form a ratio, iterate and split ratios, and create a unit ratio. Students move from reasoning additively to forming multiplicative comparisons.
Who are Kate and Christopher?
Lesson 1: Changing One Quantity at a Time
Lesson 2: Changing Two Quantities
Lesson 3: Creating Diagrams to Represent Ratios
Lesson 4: Using Diagrams to Iterate Ratios
Lesson 5: Forming a Unit Ratio
Lesson 6: Solving Proportions Using Multiplication and Division
Lesson 7: Making Multiplicative Comparisons