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Middle Grades Math: Real Graphs
by Texas Instruments - Action Consequence Lesson

Updated on August 18, 2014

Objectives

  • Students will explore the plots of various data sets, looking for patterns.
  • Students will identify plots that appear to be functions.
  • Students will determine which plots appear to form a linear pattern, and then acquire the best function that models the pattern, in the form of y = mx + b.
  • Students will parse the linear function, looking at the slope and the y-intercept in the context of the data that was used. They will identify the units of these values and their contextual meaning.
  • Students will use functions to model relationships between quantities.
  • Students will interpret the rate of change and initial value of a linear function in terms of the situation it models and in terms of its graph or a table of values (CCSS Mathematical Standard).
  • Students will apply the mathematics they know to solve problems arising in everyday life, society, and the workplace (CCSS Mathematical Practice).

Vocabulary

  • function
  • model
  • y-intercept
  • slope
  • table
  • linear function
  • variables
  • independent variable
  • dependent variable
  • set

About the Lesson

This lesson involves identifying patterns of data from given lists.
As a result, students will:

  • Identify patterns that might represent functions, and in particular, linear functions.
  • Represent realistic relationships.
  • Identify the best function to fit the data and examine its parts in context.

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