Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Quadratic Functions (unit 4) 11/3/14-12/05/14

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1 Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Quadratic Functions (unit 4) 11/3/14-12/05/14 Understanding (s)/goals: Essential Question(s): EU5: EQ1: Unit 5: 1. What is the Quadratic graphical Functions representation of a Students quadratic function? demonstrate How does it compare the to a linear function? transformation 2. How are linear of a quadratic patterns different function and from quadratic analyze patterns? quadratic Transformation: functions 1. How is rate of inequalities for change calculated? various 2. How are solutions transformations of a through quadratic multiple function identified? representations. Stage 1 Desired Results Student Outcomes (objectives): R 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. R ALGII.6B Relate representations functions in algebraic, tabular, graphical, and verbal forms. R 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 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. S 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. of Quadratic functions from tables, equations, using algebraic, tables, graphs in a real world (ALGII.7A) EU2: Students solve and analyze Quadratic functions EQ2: 1. How are operations on complex numbers similar to or different from operations on real numbers? 2. Why is it important to study operations on complex numbers? S ALGII.2A Use and apply tools including factoring and properties of exponents, matrix operations, and algebraic methods to simplify expressions and to transform and solve linear, absolute value, square root, quadratic, rational, exponential, and logarithmic equations and inequalities and the inverse of these functions, if they exist. S ALGII.5E Use the method of completing the square to solve quadratic equations and to transform general forms of conic sections in order to graph. S ALGII.6C Determine a quadratic function from its roots (real and complex) or a graph. S ALGII.8B Analyze and interpret the solutions equations using discriminants and solve quadratic equations using the quadratic formula.

2 Quadratic relationships may be found in realworld Applications: 1. How can quadratic relationships represent area or volume? 2. What other models can be made from quadratic relationships? 1. How are solutions of quadraticsdemonstrate d in graphs? 2. How do solutions and other attributes functions relate to real-world events? S ALGII.8C Compare and translate between algebraic solutions and graphical solutions equations, and describe the relationship between the roots of a quadratic equation and the zeros of the corresponding quadratic function. R ALGII.8D Solve quadratic equations and inequalities using graphs, tables, and algebraic methods. S ALGII.2B Use complex numbers to describe the solutions equations graphically, tabularly, and in real-world applications. R 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. R ALGII.8A Analyze situations involving quadratic functions and formulate quadratic equations or inequalities to solve problems. S ALGII.8C Compare and translate between algebraic solutions and graphical solutions equations, and describe the relationship between the roots of a quadratic equation and the zeros of the corresponding quadratic function. Quadratic functions including factoring, (ALGII.2A, ALGII.5E, ALGII.6C, ALGII.8B, quadratic inequalities using graphs, tables and Quadratic inequalities represent their solutions. 1. How are solutions inequalities similar to or different from solutions of quadratic functions? 2. How do complex numbers apply to quadratic functions and graphs inequalities? Stage 2 Assessment Evidence Performance Task(s) and Other Evidence: (Assessment evidence should be collected for each Student Outcome (SO) listed above.) Formative Summative (Attach copy) SO5.1 Day 1,2,3 homework and HW Test #7 SO5.2 Day 1,2,3 homework and HW Test #7 SO5.3 Day 1,2,3,4,5 classwork and HW, quiz Test #7 SO5.4 Day 2 classwork and HW Test #7 SO5.5 Day 6,9,11 classwork and HW Test #9 SO5.6 Day 14,15 classwork and HW Test #9

3 Student Outcomes (Objectives) Day 1: Monday 11/3 Day 2: Tuesday 11/4 Day 3: Wednesday / Thursday 11/5-11/6 Daily Activities 4.1 Graph Quadratic Functions in Standard Form POW A1U5 Due HW: section Graph Quadratic Functions in Vertex or Intercept Form HW: section Solve x 2 +bx+c = 0 by Factoring SYMKC - Geometry HW: section 4.4 Day 4: Friday 11/7 Day 5: Monday 11/10 Day 6: Tuesday 11/11 4.3: Solve x^2+bx+c=0 by factoring 4.4 Solve ax 2 +bx+c = 0 by Factoring HW: section Section 4.4: Solve ax 2 +bx+c = 0 by Factoring HW: section 4.3 and 4.4 Section 4.5 Solving Quadratic Functions by factoring and finding square root HW: section 4.5

4 Day 7: Wednesday Thursday 11/12 11/13 Day 8: Friday 11/14 Day 9: Monday 11/17 Day 10: Tuesday 11/18 Review Test #7 Section 4.6: Perform Operations of Complex numbers HW: 4.6 District snapshot Day 11: Wednesday Thursday 11/19 11/20 Day 11: Friday 11/21 Day 12: Monday 11/24 Section 4.7: Completing the Square HW: section 4.7 Section 4.8: Using Quadratic Formula and the Discriminant HW: section 4.7 POW DAY Day 13: Tuesday 11/25 Test #8- POW test

5 Day 14: Monday 12/1 Day 15: Tuesday 12/2 Day 14: Wednesday/Thursday 12/3-12/4 Day 14: Friday 12/5 Section 4.9: Graph and Solve Quadratic Inequalities HW: section 4.9 Section 4.10: Write Quadratic Function and Models HW: section 4.10 Review SYMKC - Algebra 2 Test #9