M Functions, Lesson 10, Graphing Step Functions (r. 2018) – FUNCTIONS Graphing Step Functions Common Core Standard Next Generation Standard F-IF.C.7 Graph functions expressed symbolically AI-F.IF.7 Graph functions and show key features of the and show key features of the graph, by hand in graph by hand and by using technology where cases and using technology for more cases. (Shared standard with Algebra II) NOTE: This lesson is related to Functions, Lesson 9, Graphing Piecewise Functions LEARNING OBJECTIVES Students will be able to: 1) Graph and interpret step functions. Overview of Lesson Teacher Centered Introduction Student Centered Activities Overview of Lesson guided practice anticipates, monitors, selects, sequences, and Teacher: connects student work - activate students’ prior knowledge - developing essential skills - vocabulary - Regents exam questions - learning objective(s) - formative assessment assignment (exit slip, explain the math, or journal - big ideas: direct instruction entry) - modeling VOCABULARY closed dot continuous function interval open dot piece piecewise function sub function BIG IDEAS STEP FUNCTIONS A step function is typically a piecewise function with many sub functions that resemble stair steps.
M – Functions, Lesson 10, Graphing Step Functions (r. 2018) FUNCTIONS Graphing Step Functions Common Core Standard F-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in cases and using technology for more cases. Next Generation Standard AI-F.IF.7 Graph functions and show key features of the graph by hand and by using technology where (Shared standard with Algebra II) NOTE: This lesson is related to Functions, Lesson 9, Graphing Piecewise Functions LEARNING OBJECTIVES Students will be able to: 1) Graph and interpret step functions. Overview of Lesson Teacher Centered Introduction Overview of Lesson - activate students’ prior knowledge - vocabulary - learning objective(s) - big ideas: direct instruction - modeling Student Centered Activities guided practice Teacher: anticipates, monitors, selects, sequences, and connects student work - developing essential skills - Regents exam questions - formative assessment assignment (exit slip, explain the math, or journal entry) VOCABULARY closed dot continuous function interval open dot piece piecewise function sub function BIG IDEAS STEP FUNCTIONS A step function is typically a piecewise function with many sub functions that resemble stair steps.