Unit 1 (Student Learning Map) SCOS GOALS (1.03,1.04,1.05,2.01,2.04,2.08,2.10 ) Course: Algebra II Student Name: Instructor: Mr. Brock Key Learning(s): Unit Essential Question: Solving Multi-Step Equations, Inequalities, Comp. Inequalities, Absolute Value Equations and Inequalities. Solving and Graphing systems of equations and Inequalities through Substitution, Elimination, and Matrix Operations. Graphing Transformations of Relations, Linear and Absolute functions, and Inequalities with multiple variables. How do we understand the process of solving, graphing and transforming Linear and Absolute Value Functions, Inequalities, Inverse Matrix operations and multiple variable matrix system equations? Sample Problems: See back of Student Learning Map Concept 2.1 Relations and Functions Concept 2.2 Linear Equations and Functions Concept 2.3 Direct Variation Concept 2.4 Linear Models / Line of Best Fit Lesson EQ: How do we graph relations and functions on a coordinate plane? Lesson EQ: What methods can we use to graph linear functions? How do we write the equation for a line? How do we interpret what the x and y intercepts represent in a model? Vocabulary: Linear Equation Slope / y-intercept / x-intercept Rise-over-Run Standard form Point-slope form Slope-intercept form Linear Function Dependent / Independent Variable Lesson EQ: How do we set-up equations and proportions to model situations that vary directly and solve for specific unknowns? Lesson EQ: How do we use the graphing calculator to write linear equations that model real-world data and make predictions from the linear models? Vocabulary: Direct Variation Varies Directly Is Directly Proportional to Constant of Variation At the same Rate Vocabulary: Scatter Plot Trend Line Line-of-Best Fit What are various ways of determining if a relation is a function? Vocabulary: Relation Function Domain Range Vertical Line Test Mapping Diagram Function Notation
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