Embedded Files
Lessons
Lessons
Focus Standards
Focus Standards
Learning Focus
Learning Focus
Additional Resources
Additional Resources
Lesson 1: Something to Talk About
Lesson 1: Something to Talk About
Develop Understanding
Introduces quadratic functions, using a visual diagram.
NC.M1.A-CED.2
NC.M1.A-SSE.1.a
NC.M1.A-SSE.1.b
NC.M1.F-BF.1
NC.M1.F-BF.1.a
NC.M1.F-IF.5
Model a growing pattern with tables, graphs, and equations.
Analyze the type of growth exhibited by a pattern.
What do different representations tell us about a pattern?
Lesson 2: I Rule!
Lesson 2: I Rule!
Solidify Understanding
Compares quadratic and linear functions, using all representations.
Model patterns with functions.
Compare and contrast linear and quadratic functions.
How are quadratic functions different than linear functions?
Lesson 3: Scott's Muscle March
Lesson 3: Scott's Muscle March
Solidify Understanding
Reinforces understanding that quadratic functions have a linear rate of change and that quadratic functions can model the sum of an arithmetic sequence.
Model a quadratic function with tables, graphs, and equations.
Understand the first difference of a quadratic function.
How can a quadratic function be built from a linear function?
Lesson 4: Rabbit Run
Lesson 4: Rabbit Run
Solidify Understanding
Introduces continuous quadratic functions that have a maximum value. Extends understanding that quadratic functions are often models for area and that quadratic functions are the product of two linear factors.
NC.M1.A-CED.2
NC.M1.A-SSE.1.a
NC.M1.A-SSE.1.b
NC.M1.F-BF.1.a
NC.M1.F-IF.4
NC.M1.F-IF.5
NC.M1.F-IF.7
Model a story context with table, graph, and equation.
Identify features of a function from a graph.
Are all quadratic functions increasing?
Are all quadratic functions discrete?
Lesson 5: The Tortoise and the Hare
Lesson 5: The Tortoise and the Hare
Solidify Understanding
Compares quadratic and exponential functions in tables and graphs, with an emphasis on understanding that an exponential function will exceed any quadratic function for large values of x.
Compare quadratic and exponential functions.
Determine which type of function, quadratic or exponential, grows faster in a given interval.
How does the growth of a quadratic function compare to the growth of an exponential function?
How can tables, graphs, and equations help to understand how quadratic and exponential functions grow?
Lesson 6: Be the Change
Lesson 6: Be the Change
Practice Understanding
Builds fluency in distinguishing between linear, quadratic, and exponential relationships, using the rate of change.
Determine if a relation is linear, exponential, quadratic, or some other kind of function.
Determine the type of growth and key features of the function.
What characteristics of each representation make it easy to identify the function type?
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