Westside High School Lesson Plan Teacher Name: Garrett, Shannen Unit Name and #: Unit 4: Systems of Equations and Inequalities Unit 5: Quadratic Functions Course: Algebra II B MOD Dates: Apr 6 – Apr 10, 2015 What are we learning? Daily Objective: Students will identify the characteristics of a quadratic function from its graph. Students will graph quadratic equations on the coordinate plane Students will define and identify the roots of a quadratic equation. TEKS/AP/Standards: Ⓡ ALGII.6A Determine the reasonable domain and range values of a quadratic function represented by a table of values, graph, function rule, or a contextual situation, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities. Ⓡ ALGII.6B Relate representations of quadratic functions in algebraic, tabular, graphical, and verbal forms. Ⓡ ALGII.7A Use characteristics of the quadratic parent function to sketch the related graphs and connect between the f(x) = ax2 + bx + c and the f(x) = a (x – h)2 + k symbolic representations of quadratic functions, and write the quadratic function in f(x) = ax2 + bx + c or f(x) = a (x – h)2 + k given the graph of the function. Monday Ⓢ ALGII.7B Use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x – h)2 + k form of a function and what those changes in symbolic representation may mean in a real world applications How will we learn it? Learning Activities: Introduction to Quadratic Equations Notes and PPT Identifying Quadratic Features worksheet How will we tell if we’re learning it correctly? Assessment Methods: Identifying Quadratic Functions Worksheet Checks for Understanding: Check student understanding through assessment of their note-taking skills Cold-calling to answer questions Teacher observation What do I need to be successful? Materials: Pencils, Worksheets, Calculators, computers, Student Guided Notes, PPT What do I need to before next class? Follow Up/HW: What are we learning? Daily Objective: Students will identify the characteristics of a quadratic function from its graph. Students will graph quadratic equations on the coordinate plane Students will define and identify the roots of a quadratic equation. TEKS/AP/Standards: Ⓡ ALGII.6A Determine the reasonable domain and range values of a quadratic function represented by a table of values, graph, function rule, or a contextual situation, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities. Ⓡ ALGII.6B Relate representations of quadratic functions in algebraic, tabular, graphical, and verbal forms. Ⓡ ALGII.7A Use characteristics of the quadratic parent function to sketch the related graphs and connect between the f(x) = ax2 + bx + c and the f(x) = a (x – h)2 + k symbolic representations of quadratic functions, and write the quadratic function in f(x) = ax2 + bx + c or f(x) = a (x – h)2 + k given the graph of the function. Tuesday Ⓢ ALGII.7B Use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of y = a(x – h)2 + k form of a function and what those changes in symbolic representation may mean in a real world applications How will we learn it? Learning Activities: Graphing Quadratic Functions PPT Graphing Quadratic Functions Worksheet How will we tell if we’re learning it correctly? Assessment Methods: Checks for Understanding: Check student understanding through assessment of their note-taking skills Cold-calling to answer questions Teacher observation What do I need to be successful? Materials: Calculators, graphs, Student notes, computers, worksheet What do I need to before next class? Follow Up/HW: What are we learning? Daily Objective: Students will identify the characteristics of a quadratic function from its graph. Students will graph quadratic equations on the coordinate plane Students will define and identify the roots of a quadratic equation. TEKS/AP/Standards: Ⓡ ALGII.6A Determine the reasonable domain and range values of a quadratic function represented by a table of values, graph, function rule, or a contextual situation, as well as interpret and determine the reasonableness of solutions to quadratic equations and inequalities. Ⓡ ALGII.6B Relate representations of quadratic functions in algebraic, tabular, graphical, and verbal forms. Ⓡ ALGII.7A Use characteristics of the quadratic parent function to sketch the related graphs and connect between the f(x) = ax2 + bx + c and the f(x) = a (x – h)2 + k symbolic representations of quadratic functions, and write the quadratic function in f(x) = ax2 + bx + c or f(x) = a (x – h)2 + k given the graph of the function. Ⓢ ALGII.7B Use the parent function to investigate, describe, and predict the effects of changes in a, h, Wed/Thur and k on the graphs of y = a(x – h)2 + k form of a function and what those changes in symbolic representation may mean in a real world applications How will we learn it? Learning Activities Graphing Quadratic Functions Part II Quadratic Functions Review How will we tell if we’re learning it correctly? Assessment Methods: Quadratic Functions Review Assessment results via Odyssey Math Checks for Understanding: - Teacher observation - Student understanding through review of material What do I need to be successful? Materials: Pencils, Worksheet, Calculators, computers What do I need to before next class? Follow Up/HW: What are we learning? Daily Objective: To assess student understanding of Systems of Equations and Inequalities TEKS/AP/Standards: Ⓡ ALGII.3A Analyze situations and formulate systems of equations in two or more unknowns or inequalities in two unknowns, to solve problems. Ⓡ ALGII.3B Use and apply algebraic methods including substitution or linear elimination, graphs, tables, or matrices to solve systems of equations or inequalities. Ⓡ ALGII.3C Interpret and determine appropriate domain and range values, and the reasonableness of solutions to systems of equations or inequalities, for given contexts. How will we learn it? Friday Learning Activities Students will demonstrate an understanding of Systems of Equations by taking a test to assess their level of understanding. Odyssey Math – Systems of Equations Learning Path How will we tell if we’re learning it correctly? Assessment Methods: Test on Systems of Equations and Inequalities Assessment results via Odyssey Math Checks for Understanding: - Teacher observation - Student understanding as assessed by taking a test What do I need to be successful? Materials: Pencils, Worksheet, Calculators, computers What do I need to before next class? Follow Up/HW: