Name: John Toney Date: 10-6-14 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Mathematics Length of Lesson: 20 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Linear Relations and Functions: Relations and Functions Linear Equations Slope Writing Linear Equations Modeling with Scatter Plots Special Functions Graphing Inequalities Big Ideas: 2.8.11.B: Evaluate and simplify algebraic expressions and solve and graph linear, quadratic, exponential, and logarithmic equations and inequalities, and solve and graph systems of equations and inequalities. 2.8.11.D: Demonstrate an understanding and apply properties of functions (domain, range, inverses) and characteristics of families of functions (linear, polynomial, rational, trigonometric, exponential, logarithmic). 2.8.11.E: Use combinations of symbols and numbers to create expressions, equations, and inequalities in two or more variables, systems of equations and inequalities, and functional relationships that model problem situations. M8.E.4.1.1: Fit a line to a scatter plot and/or describe any correlation between the two variables (positive, negative, strong, weak or none). Understanding Goals (Concepts): Linear relationships: Equation and inequalities in one and two variables: 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 Student Objectives (Competencies/Outcomes): 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 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? 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 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 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. How do you write, solve, and interpret systems of two linear equations and inequalities using graphing and algebraic techniques? Scatter plot, Line of best fit Constant Function, Absolute value Function, Identity Function, Piecewise Function STAGE II – ASSESSMENT EVIDENCE Performance Task: Formative Assessments: Students will demonstrate adequate understanding via a chapter test. Pre-assessments, open-ended questions, Think-Pair-Share Materials and Resources: Textbook, notes STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend math lab Instructional Procedures*: Monday Date: 10/6 Day: A “Do Now” – Determine if equations are linear “Mini Lesson” – Give notes and examples on: Finding the slope between two given points on a line. Graphing a line with given slope through a given point. Wednesday Date: 10/8 Day: A “Do Now” – Find the slope between two given points. “Mini Lesson” – Give notes and examples on: Graphing a line parallel or perpendicular to a given line through a given point. 2-2 worksheet page 66 Notebook Homework 2-3 day 1 Notebook Homework 2-3 day 2 Thursday Date: 10/9 Day: B ““Do Now” – Determine if two given lines are parallel or perpendicular or neither. Friday Date: 10/10 Day: A “Do Now” – Graph a line through a given point through a given line. “Mini Lesson” – Discuss homework answers then monitor independent practice work. Finding the slope between two given points on a line. Graphing a line with given slope through a given point. Graphing a line parallel or perpendicular to a given line through a given point 2-3 worksheet page 71 “Mini Lesson” – Give notes and examples on: Finding the slope and y-intercept given an equation of a line. Writing the equation of a line given a point and the slope or given two points. Assignments Procedures “Mini Lesson” – Identify linear equations and functions. Write linear equations in standard form and graph them. Tuesday Date: 10/7 Day: B “Do Now” – Find the x and y intercepts given an equation of a line. *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Notebook Homework 2-4