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Course Outlines Name of the course: Algebra 1 College Prep Course description: This is the first course in the college preparatory math sequence. Students will explore the language of Algebra in verbal, tabular, graphical, and symbolic forms. Problem-solving activities and applications will encourage students to model patterns and relationships with variables and functions. Topics include, but are not limited to, solving/graphing linear equations and inequalities, solving systems of equations, and properties of exponents. Essential Questions: • When and why should we estimate? • Is there a pattern? • How does what we measure influence how we measure? • How does how we measure influence what we measure or don’t measure? • What do good problem solvers do especially when they get stuck? • How precise should this solution be? • What are the limits of this mathematical model and of mathematical modeling in general? Kennebunk High School Topics: Unit I – An Introduction to Algebra Variables, Expressions, Order of operations, Algebraic properties Unit 2 – Solving Equations Solving one-step equations, solving two step equations, solving multi-step equations, rewriting formulas, solving absolute value equations, solving proportions, solving percent problems, using equations to solve problems Unit 3 – Graphs of Linear Equations Graphing slope-intercept, graphing vertical and horizontal lines, graphing standard form, Slope, x and y intercepts Unit 4 – Equations of Linear Functions Writing equations in slope intercept form, writing equations in standard form, finding equations of lines parallel and perpendicular. Unit 5 – Linear Inequalities Solving linear inequalities, solving compoung inequalities, solving absolute value inequalities, Graphing Inequalities on the coordinate plane Unit 6 – Systems of Equations and Inequalities Graphing Systems of equations, Solving systems by substitution, solving systems by elimination, graphing systems of linear inequalities Unit 7 – Properties of Exponents and Operations on Polynomials Laws of exponents, adding and subtracting polynomials, multiplying a polynomial by a monomial, multiplying polynomials Assessment: Internal Assessments: Book and Teacher Generated tests and quizzes Homework Projects Notebooks Common Assessments: Average Rate of Change Graphs and Equations Simplifying Expressions Solving Linear Equations and Inequalities Kennebunk High School Learning Standards : A.CED.1 Create equations and inequalities in one variable and use them to solve problems. (Linear) A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.(Linear) A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. * A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. * A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Kennebunk High School * A.SSE.2 Use the structure of an expression to identify ways to rewrite it. *F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. * denotes a KHS Mathematics Proficiency Standard Resources: ! Glencoe; Algebra I Textbook, with Practice and Study Guides ! Teacher generated Assessments ! Teacher generated Notes Kennebunk High School