WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _Melissa Broadwater____ Date _03/14/13_ Length of Lesson _16 Days_____ Content Area _Math Tech Numbers_ STAGE I – DESIRED RESULTS LESSON TOPIC: Linear Relations and Functions BIG IDEAS: (Content standards, assessment anchors, eligible content) objectives, and skill focus) Mathematical functions are relationships that assign each member of one set (domain) to a unique member of another set (range), and the relationship is recognizable across representations: M11.C.3.1.2 M11.D.1.1.1 M11.D.1.1.2 M11.D.2.1.2 M11.D.3.2.1 M11.D.3.2.2 M11.D.3.2.3 M11.D.4.1.1 M11.D.4.1.2 UNDERSTANDING GOALS (CONCEPTS): Students will understand: Functions and multiple representations, Linear relationships: Equations and inequalities in one and two variables, Algebraic properties and processes: 1. 2. 3. 4. 5. 6. 7. 8. Analyze and graph relations Write and graph linear equations given slope and/or point(s) on a line Find and use slope of a line Write equations for and graph parallel and perpendicular lines Draw scatter plots and determine equations for lines of best fit Graph absolute value functions on a coordinate plane Graph linear inequalities on a coordinate plane Solve real-world problems modeled by linear functions Relate slope to perpendicularity and/or parallelism (limit to linear algebraic expressions; slope formula provided on the reference sheet). Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. Determine if a relation is a function given a set of points or a graph. Identify or graph linear inequalities on a coordinate plane. Apply the formula for the slope of a line to solve problems (formula given on reference sheet). Given the graph of the line, 2 points on the line or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form. Compute the slope of a linear equation or graph. Match the graph of a given function to its table or equation. Graph linear functions in two variables. ESSENTIAL QUESTIONS: How do you decide which functional representation to choose when modeling a real world situation, and how would you explain your solution to the problem? How do you write, solve, graph, and interpret linear equations and inequalities to model relationships between quantities? How do you write, solve, and interpret systems of two linear equations and inequalities using graphing and algebraic techniques? VOCABULARY: Coordinate Plane, Quadrants, Domain, Range, Function, Mapping, Vertical Line Test, Independent Variable, Dependent Variable, Function Notation Standard Form, X- and y-intercept Slope, Slope-intercept form, Parallel, Perpendicular Scatter plot, Line of best fit Constant Function, Absolute value Function, Identity Function, Piecewise Function STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: Write, solve, graph, and interpret linear equations and inequalities to model relationships between quantities. Represent functions (linear and non-linear) in multiple ways, including tables, algebraic rules, graphs, and contextual situations and make connections among these representations. Choose the appropriate functional representation to model a real world situation and solve problems relating to that situation. Analyze and graph relations Write and graph linear equations given slope and/or point(s) on a line Find and use slope of a line Write equations for and graph parallel and perpendicular lines Draw scatter plots and determine equations for lines of best fit. Graph absolute value functions on a coordinate plane Graph linear inequalities on a coordinate plane Solve real-world problems modeled by linear functions STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will demonstrate an adequate understanding via a chapter test. OTHER EVIDENCE: Daily and long-term observations, and a group project STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: MATERIALS AND RESOURCES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) Textbook Notebook Promethean Board/Projector Graph Paper Rulers MINI LESSON: Classifying real numbers Order of Operations Properties of Real Numbers Solving Linear Equations Solving Absolute Value Equations Solving Inequalities Graphing Inequalities INTERVENTIONS: Truly struggling students will be referred to guidance/SAP (RTI) Small group/ flexible grouping will occur if necessary. Students will be encouraged to stay for math lab, or find help with a math teacher during ASE or lunch. ASSIGNMENTS: p. 60-62 p. 65-67 p. 71-74 p. 78-80 p. 83-86 p. 92-95 p. 98-99