D Rate, Lesson 4, Rate of Change (r. 2018) – RATE Rate of Change Common Core Standard Next Generation Standard F-IF.B.6 Calculate and interpret the average rate of AI-F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a change of a function over a specified interval. table) over a specified interval. Estimate the rate of (Shared standard with Algebra II) change from a graph. Notes: presented by function notation, a PARCC: Tasks have a real-world context. Tasks are limited to • Functions may be linear functions, quadratic functions, square root functions, cube of values, or graphically. root functions, piece-wise defined functions (including step I tasks have a real-world context and are • Algebra and absolute value functions) and exponential functions to the following functions: linear, quadratic, square with domains in the integers. root, piece-wise defined (including step and absolute value), and exponential functions of the form where > a 0 and > 0, (b b ≠ 1). LEARNING OBJECTIVES Students will be able to: 1) Calculate and interpret the average rate of change of a function over a specified interval. 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 average rate of change rate of change steepness coordinate pair slope interval slope formula BIG IDEAS is a measure of how two variables are related to one another. Rate of change Rate of Change can be expressed in many ways:
D – Rate, Lesson 4, Rate of Change (r. 2018) RATE Rate of Change Common Core Standard F-IF.B.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. PARCC: Tasks have a real-world context. Tasks are limited to linear functions, quadratic functions, square root functions, cube root functions, piece-wise defined functions (including step and absolute value functions) and exponential functions with domains in the integers. Next Generation Standard AI-F.IF.6 Calculate and interpret the average rate of change of a function over a specified interval. (Shared standard with Algebra II) Notes: • Functions may be presented by function notation, a of values, or graphically. • Algebra I tasks have a real-world context and are to the following functions: linear, quadratic, square root, piece-wise defined (including step and absolute value), and exponential functions of the form where a > 0 and b > 0, (b ≠ 1). LEARNING OBJECTIVES Students will be able to: 1) Calculate and interpret the average rate of change of a function over a specified interval. 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 average rate of change coordinate pair interval rate of change slope slope formula steepness BIG IDEAS Rate of Change is a measure of how two variables are related to one another. Rate of change can be expressed in many ways:
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