Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Transformations Unit 9/10-9/26

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1 Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Transformations Unit 9/10-9/26 Understanding (s)/goals: EU1: Students apply the properties of functions to their graphs and transformations. Essential Question(s): EQ1: A family of functions is the foundation for transformations of graphs. 1. How are the families of functions the same or different? 2. Why do functions shift vertically or horizontally? 3. How do the changes in the leading coefficient affect the function s graph? 4. How do parameter changes affect the domain and range? 5. How are the attributes of a transformation of an absolute value function s transformation demonstrated algebraically? In the transformations of the polynomial function, the effects are demonstrated in the equation, the graph, and the table. 1. How are characteristics of the equation, graph, and table related? 2. How are the transformations of polynomial functions similar to or different from transformations of other functions that have been studied? Stage 1 Desired Results Student Outcomes (objectives): R ALGII.1A Identify the mathematical domains and ranges of functions, determine reasonable domain and range values for continuous and discrete situations, and describe situations given domain and range values. S ALGII.4A Identify and sketch graphs of parent functions, including linear (f(x) = x), quadratic (f(x) = x2), exponential (f(x) = ax), logarithmic (f(x) = logax), absolute value of x (f(x) = lxl), square root (f(x) = x), and reciprocal of x (f(x) = 1/x) functions. R ALGII.4B Extend parent functions with parameters such as a in f(x) = a/x and including a in g(x) = a[f(x)], k in g(x) = f(x) + k, and h in g(x) = f(x h), and describe the effects of the parameter changes on the graph of parent functions. S ALGII.4C Describe and analyze the relationship between a function and its inverse using concrete representations, tables of values, graphs, and symbolic representations. parent functions including linear, quadratic, range of functions using various methods, describe and analyze the various expansions, compressions) using equations,

2 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) SO1.1 Day 1 homework Parent function quiz SO1.2 Day 1-3 classwork/homework SO1.3 Day 5-9 classwork and HW Transformation quizzes, transformation test

3 Student Outcomes (Objectives) Day 1: Wed/Thurs 9/10-9/11 Day 2: Friday 9/12 Day 3: Monday 9/15 Day 4: Tuesday 9/16 Algebra 2 PAP Ms. Mahmassani/Mrs. Morales Transformations Unit 9/10-9/26 Learning Activities: Daily Activities Parent Functions (equations, tables, domain and range) p.1 Quadratic and absolute value functions (Tables, Graphs, equations, Domain & Range) p.2-6 HW: Transformation packet p. 2, p. 3-6 Table Graph, Domain and Range pp. 1-8 Cubic, square root and reciprocal functions (Tables, Graphs, equations, Domain & Range) p.6-12 Parent Function Quiz HW: p.3-12 Table Graph, Domain and Range Parent Functions, Tables, Graphs, equations, Domain & Range p.3-12 HW: p transformation Transformations (translations, reflections, expansions, compressions) p. 13 Symmetry of various graphs HW: p transformation and symmetry p Day 5: Wed/Thurs 9/17-9/18 Transformations (translations, reflections, expansions, compressions) Parent Functions, Tables, Graphs, equations, Domain & Range, transformation, symmetry p HW: p Transformation, graphs, domain, range, symmetry

4 Day 6: Friday 9/19 Day 7: Monday 9/22 25/26 Increasing Decreasing constant of various functions HW: p.3-19 Increasing decreasing constant Even Odd Neither functions HW: p.3-19 Even Odd Neither p all Day 8: Tuesday 9/23 District Snapshot Assessment HW: Transformation packet all Day 9: Wed/Thurs 9/24-9/25 Day 10: Friday 9/26 Transformation Packet all Review HW: study for test Summative Assessment Test #3

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