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DOBBS FERRY MIDDLE SCHOOL Dobbs Ferry, New York 10522 COURSE OUTLINE SUBJECT: Integrated Algebra GRADE: 8 Offered: Full Year Type of Course: Required unless student is taking Mathematics 8 COURSE DESCRIPTION: The Integrated Algebra course focuses on the concepts outlined in the New York State standards. This is a one year regent’s course and will follow the students on their high school transcripts. The course is broken into the following units: number theory; algebra; linear equations and inequalities; polynomials; algebraic fractions; polygons; graphing linear functions, non-linear functions and quadratics; probability and statistics. At the end of the course students will have mastered all the concepts necessary to continue into the ninth grade Geometry course. ANTICIPATED OUTCOMES: By June of this year (monthly), students in this class will be able to: September Operations with sign numbers/Absolute value Order of Operations (PEMDAS) Evaluating and Translating Expressions Properties of real numbers Classifications of real numbers Scientific notation October Laws of Exponents Algebraic equations (one, two, multi- step, variables on both sides, distributive property) Consecutive integers, Coin, Age, Perimeter, Motion (D= RT) and word problems November Inequalities- solve and graph on a number line Verbal and Compound inequalities Proportions, Ratios, Similar polygons Percent Applications (Discount, sale price, tax, tip and percent change) December Operations with polynomials (addition of polynomial by polynomial, subtraction of polynomial by polynomial, Multiplication of monomial by polynomial, binomial, by binomial, Division of polynomial by monomial) Factoring- GCF, trinomials, completely, difference of perfect squares January Factoring continued Solving Quadratic equations by factoring Algebraic Fractions- undefined, simplify, add/subtract like and unlike denominators, multiply and divide February Algebraic Fractions continued Fractional equations Intro to Functions- range, domain, vertical line test Intro to coordinate plane March Graph absolute value and exponential functions Graph linear equations- slope formula, point slope formula, graphing by slope/y-intercept form, definitions of parallel and perpendicular lines Solve linear systems graphically and algebraically (elimination, substitution) Graph inequalities on a coordinate plane April Solve linear inequalities graphically Graph parabolas (axis of symmetry, solve using the graph) Solve Quadratic and Linear systems graphically and algebraically May Radicals- simplify, add, subtract, multiply and divide Trigonometry- SOH CAH TOA, find a side, find an angle, angle of elevation and depression Probability- counting principal, sample space, tree diagrams, mutually exclusive, independent, permutations, Venn diagrams June Statistics- Box and whisker stem and leaf, back to back stem and leaf, histograms, histograms, scatter plot (line of best fit), quantitative, qualitative data, and relative error Review for Regents MATERIALS: - 2 inch green binder filled with loose-leaf and dividers - Pens/Pencils/Pencil case - TI 83 Plus graphing calculator - Agenda Pad CRITERIA FOR ASSESSMENT: At the end of each quarter every student will have earned a grade. This grade is the percentage of points earned out of the total number of possible points. These points are earned by the student’s performance in the following areas. -Class Participation -Homework -Tests/Quizzes - Projects STUDENT/PARENT RESOURCES: - www.regentsprep.org - www.jmap.org - www.math.com Outline developed by: Mathematics Department Date: Fall 2011