L Radicals, Lesson 2, Graphing Root Functions (r. 2018) – RADICALS Graphing Root Functions Common Core Standard Next Generation Standard Graph square root, cube root, and Graph square root, and piecewise-defined F-IF.7b AI-F.IF.7b functions, including step functions and functions, including step functions and absolute value absolute value functions. functions and show key features. Note: Algebra I key features include the following: zeros; intervals where the function is decreasing, positive, or negative; maxima, and symmetries. LEARNING OBJECTIVES Students will be able to: 1) Graph functions involving square roots. 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 square root cube root nth root BIG IDEAS NOTE: All of the functions in this lesson require special consideration for the domain of the independent variable (the x-axis). ROOT FUNCTIONS Root functions are associated with equations involving square roots, cube roots, or nth roots. The easiest way to graph a root function is to use the three views of a function that are associated with a graphing calculator. STEP 1. Input the root function in the y-editor of the calculator.
L – Radicals, Lesson 2, Graphing Root Functions (r. 2018) RADICALS Graphing Root Functions Common Core Standard F-IF.7b Graph square root, cube root, and functions, including step functions and absolute value functions. Next Generation Standard AI-F.IF.7b Graph square root, and piecewise-defined functions, including step functions and absolute value functions and show key features. Note: Algebra I key features include the following: zeros; intervals where the function is decreasing, positive, or negative; maxima, and symmetries. LEARNING OBJECTIVES Students will be able to: 1) Graph functions involving square roots. 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 square root cube root nth root BIG IDEAS NOTE: All of the functions in this lesson require special consideration for the domain of the independent variable (the x-axis). ROOT FUNCTIONS Root functions are associated with equations involving square roots, cube roots, or nth roots. The easiest way to graph a root function is to use the three views of a function that are associated with a graphing calculator. STEP 1. Input the root function in the y-editor of the calculator.
F.IF.C.7a.docx