Unit 3: Features of Functions
Lesson Video
Focus Standards
Learning Focus
Additional Resources
A Develop Understanding Task
Develops vocabulary for the key features of a function to describe the graph that represents a real-world context.
Graph a function to model a situation.
Interpret and identify key features of the graph.
How can we create a graph without equations or points being given?
How does a graph tell a story?
How do I describe key features of a graph?
A Solidify Understanding Task
Uses tables and graphs to interpret key features of a function. Introduces interval notation to describe domain, range, and intervals of increase and decrease.
Identify key features of functions.
Use key features of functions to analyze tables and graphs.
How do I describe key features of a function?
Lesson 3: Function Junction
A Practice Understanding Task
Builds fluency in identifying and describing features of functions from various representations, using proper mathematical notation.
Become efficient in identifying key features of functions in various representations.
Describe domain, range, and intervals of increase and decrease using appropriate notation.
How can I use the relationship between features of functions to help me be more efficient in writing features?
How can I tell if a maximum or minimum is relative or absolute?
Lesson 4: Water Wonderland
A Solidify Understanding Task
Builds understanding of function notation by connecting to a context.
Combines and compares functions graphically and algebraically, and considers the meaning of notation for function operations, such as f(x) + g(x), and for comparison statements like f(x) > g(x) .
NC.M1.A-CED.2
NC.M1.A-REI.10
NC.M1.F-IF.2
NC.M1.F-IF.4
NC.M1.F-IF.5
NC.M1.F-IF.7
Interpret the graphs and equations of functions.
Write equations for the graph of functions.
Combine two linear functions.
How does function notation connect to a graph?
What connections can be made with function notation and a story context?
How do I combine functions graphically and algebraically?
Lesson 5: Give Me Five
A Practice Understanding Task
Builds fluency in using function notation, representations, and features of functions.
NC.M1.F-BF.1.b
NC.M1.F-IF.1
NC.M1.F-IF.2
NC.M1.F-IF.4
NC.M1.F-IF.5
NC.M1.F-IF.7
NC.M1.F-IF.9
Interpret function notation to match a function with its features.
How can I visualize a graph from knowing its features?
How can function notation describe a function?
How does function notation describe relationships between two functions?