Grade 8 Mathematics Module 5

Middle school classroom

Grade 8 Module 5: Examples of Functions from Geometry

In the first topic of this 15 day module, students learn the concept of a function and why functions are necessary for describing geometric concepts and occurrences in everyday life.  Once a formal definition of a function is provided, students then consider functions of discrete and continuous rates and understand the difference between the two.  Students apply their knowledge of linear equations and their graphs from Module 4 to graphs of linear functions.  Students inspect the rate of change of linear functions and conclude that the rate of change is the slope of the graph of a line.  They learn to interpret the equation y=mx+b as defining a linear function whose graph is a line.  Students compare linear functions and their graphs and gain experience with non-linear functions as well.  In the second and final topic of this module, students extend what they learned in Grade 7 about how to solve real-world and mathematical problems related to volume from simple solids to include problems that require the formulas for cones, cylinders, and spheres. 

The student materials consist of the student pages for each lesson in Module 5.

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials.

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a...
8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically...
8.F.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line;...

Curriculum Map