7. Charging conundrum: determine and interpret a linear function given two points (A)
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Lesson objective: Solve problems by using the fact that the rate of change of a linear function is constant.
This lesson provides an opportunity for students to apply their knowledge and understanding that the slopes between all pairs of points on a given line are equivalent to a reallife situation. Students are asked to calculate the rate at which various devices charge, and use this information to determine what the charge of each device will be at a certain time.
Key Concept students will use:

The segment created between any two points on a nonvertical line can be thought of as the hypotenuse of a right triangle. All the right triangles created from segments from the same line are similar.
Skills students will use:
 calculating rate of change given two points
 finding additional points on a line given the slope and a point
 solving proportions (Grade 7, Unit 1)
Students engage in Mathematical Practice 1 (Make sense of problems and perservere in solving them) as they interpret the information provided about each device as a linear relationship, and figure out how to use this realization to find missing information. Students must also make sense of answers in terms of context, for example interpreting a device with a charge of "112 percent" as having been completely charged for some amount of time.
Key vocabulary:
 constant rate of change
 slope