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Algebra II Syllabus Number of Days to be spent on each Section First Half Class - 9 weeks Chapter 1 Review of Basic Algebra 8 days Chapter 2 Linear Equations 7 1/2 days Chapter 3 System of Linear Equations and Inequalities 7 days Chapter 4 Matrices and Determinants 6 1/2 days Chapter 5 Quadratic Equations and Parabolas 8 days Chapter 6 Functions 4 days Project Exploring Data 2 days(2 in and 3 out of class) Review for Ch 1 - 6 Exam 1 day End of the nine weeks Exam Ch 1 - 6 1 day 45 days Second Half of Class - 9 weeks Chapter 7 Powers, Roots and Radicals 7 days Chapter 8 Exponential and Logarithmic Functions 7 1/2 days Chapter 9 Polynomials and Polynomials Functions 8 days Chapter 10 Rational Functions 7 days Chapter 11 Quadratic Relations 6 days Set Notation 2 days Review 5 days End of the Semester Exam 1 day 45 days Chapter 1 Review of Basic Algebra Number of Days to be spent on each Section Homework Properties for Project 1 day Worksheet 1-1 Real Numbers and Number Operations 1/2 day (graphing calculator) p 6 8 - 54 even 1-2 Algebraic Expressions and Models 1/2 day (graphing calculator) p 12 8 - 66 even 1-3 Solving Linear Equations 1 day (graphing calculator) p 21 6 - 64 even 1-4 Problem-Solving Strategies 1 day WB p 4 Mid Chapter Quiz 1/2 day 1-5 Literal Equations and Formulas 1/2 day p 34 2 - 24 even 1-6 Solving Linear Inequalities 1 day p 41 8 - 54 even 1-7 Solving Absolute Value Equations and Inequalities 1 day p 47 6 - 60 even 1 day Study Guide 3.14 Use equations and inequalities with absolute value to solve problems. Solve by located points on the number line. Review for Chapter Test Vocabulary Quiz Chapter 1 1/2 day Test Chapter 1 1 day 9 1/2 days Chapter 2 Linear Equation Number of Days to be spent on each Section Homework 2-1 The Graph of an Equation 1/2 day p67 2-60 2-2 Slope and Rate of Change 1 day p74 6-58 2-3 Quick Graphs of Linear Equations 1/2 day p81 8-44 2-4 Writing Equations of Lines 1 day p90 6-30 Mid Chapter Quiz 1/2 day p93 to study 2-5 Graphing Linear Inequalities in Two Variables 1/2 day W/ Ch 3 p97 6-54 2-6 Graphs of Absolute Value Equations 1 day p104 6-56 Review 1 day p115-118 even p119 all Unit Test 1/2 day 6 ½ days 3.14 Use equations and inequalities with absolute value to solve problems. Solve by locating points on the coordinate plane. Chapter 3 Systems of Linear Equations and Inequalities 3 -1 Solving Linear Systems by Graphing 3.12 Use systems of two or more equations to solve problems. Solve by graphing. 3 -2 Solving Linear Systems Algebraically 3.12 Use systems of two or more equations to solve problems. Solve by elimination and/or substitution. 3 -3 Problem Solving Using Linear Systems 3.12 Use systems of two or more equations to solve problems. Solve by graphing. Solve by elimination and/or substitution. Number of Days to be spent on each Section Homework 1 day p125 4-36 1 day p134 6-28 1 day Worksheet in next Chapter Mid Chapter Quiz 1/2 day 3-4 Solving Systems of Linear Inequalities 1/2 day p148 8-30 3.12 Use systems of two or more equations to solve problems. Solve by graphing. Solve by elimination or substitution. 3 -5 Exploring Data: Linear Programming 1 day p154 6-20 3.13 Use linear programming (three or more variables) to solve problem. 3 -6 Solving Systems of Linear Equations in Three Variables 3.12 Use systems of two or more equations to solve problems. By any method. 1 day (do after 4.5) Review for Test 1 day Unit Test(Cumulative Test Ch 1-3) 1 day 7 days p161 2-30 Study Guide Chapter 4 Matrices and Determinants 4-1 Exploring Data: Matrix Operations 4.04 Operate with matrices to solve problems. Add and Subtract matrices. 4-2 Matrix Multiplication 4.04 Operate with matrices to solve problems. Multiply matrices 4-3 Determinants 4.04 Operate with matrices to solve problems. Find the inverse and determinant of a matrices. 4-4 Identity and Inverse Matrices 4.04 Operate with matrices to solve problems. Find the inverse and determinant of a matrices. Number of Days to be spent on each Section Homework 1/2 day p 177 # 8 - 36 1/2 day p 183 # 6 - 32 1 day p 191 # 6 - 40 1 day p 200 # 8 - 42 Mid Chapter Quiz 1/2 day 4-5 Solving Systems Using Inverse Matrices 1 day p 207 # 6 - 28 4.04 Operate with matrices to solve problems. Find the inverse and determinant of a matrices. 3.13 Use linear programming (systems of three or more inequalities) to solve problems. 4-6 Solving Systems Using Augmented Matrices Same Objectives As 4.5 ½ day p 213 # 6 - 18 4–7 Solving Systems using Cramer’s Rule Same Objectives As 4.5 ½ day p 219 # 6–12, 18-30 Unit Test 1 day 6 1/2 days Chapter 5 Quadratic Equations and Parabolas 1 day 5-1 Solving Quadratic Equations by finding Square Roots 3.05 Use quadratic equations and inequalities to solve problems. Solve by using properties of equality, justify steps needed.. 5-2 Parabolas: Graphs of Quadratic Equations 3.05 Use quadratic equations and inequalities to solve problems. Solve by graphing. 3.06 Find and interpret the maximun and minimum values and the intercepts of a quadratic function. 5-3 Completing the Square 3.05 Use quadratic equations and inequalities to solve problems. Solve by completing the square. 5-4 The Quadratic Formula 3.05 Use quadratic equations and inequalities to solve problems. Solve by quadratic formula. Mid Chapter Quiz Number of Days to be spent on each Section 1/2 day 1 day 2 day 1/2 day 5-5 Complex Numbers 1.01 Operate with numbers to solve problems. Define complex numbers and perform basic operations with them. 5-6 Solving any Quadratic Equation 3.05 Use quadratic equations and inequalities to solve problems. Solve by using properties of equality, justify steps needed.. 5-7 Graphs of Quadratic Inequalities 3.05 Use quadratic equations and inequalities to solve problems. Solve by graphing, quadratic formula, completeing the square or factoring. Unit Test Number of Days to be spent on each Section 1/2 day 1/2 day 1 day 1 day 8 days Chapter 6 Functions 1 day 6-1 Relations and Functions 3.03 Graph relations and functions find the zeros of functions 3.02 Translate among graphic, algebraic, and verbal representations of relations. 6-2 Function Operations 3.04 Find the composition and inverse of function. 6-3 Inverse Functions 3.04 Find the composition and inverse of function. Chapter Quiz Number of Days to be spent on each Section 1 day and 1 day 1/2 day 3 1/2 days EXPLORING DATA UNIT 2-7 Exploring Data: Fitting a Line to Data 4.01 Write and interpret an equation of a curve( linear) which models a set of data. 4.02 Find the equation of the curve of the best-fit ( linear ) for a set of data. Interpret the constants, coefficients, and bases in the context of the data. Check the equation for goodness-of-fit and use the equation for predictions.. Project Number of Days to be spent on each Section 2 days in class 3 days out of class Chapter 7 Powers, Roots, and Radicals 1/2 day 7-1 Properties of Exponents 1.01 Operate with numbers to solve problems. Simplify expressions involving rational 1/2 day exponents. 7-2 Exploring Data: Compound Interest and Exponential Growth 4.03 Use exponential equations of x the form f(x) = (1 + r) where r is given as a rate of growth or decay to solve problems. 7-3 nth Roots and Rational Exponents 1.01 Operate with numbers to solve problems. Simplfy and perform operations with radical expressions. Quiz 7-4 Properties of Roots of Real Numbers 1.01 Operate with numbers to solve problems. Simplify expressions involving rational exponents. Simplfy and perform operations with radical expressions. Number of Days to be spent on each Section 1 day 1/2 day 1/2 day 7-5 Solving Radical Equations 3.11 Use equations which contain radical expressions to solve problems. Solve by graphing, factoring and using properties of equality. 7-6 Graphing Square Root and Cube Root Function 3.11 Use equations which contain radical expressions to solve problems. Solve by graphing, factoring and using properties of equality. Unit Test Number of Days to be spent on each Section 1 day 1 day 1/2 day 5 1/2 days Chapter 8 Expoential and Logarithmic Functions 8-1 1 day Exponential Functions 1 day 3.15 Write and graph exponential functions of the form f(x) = ab x 8-2 Logarthmic Functions 3.16 Recognize as inverse the exponential and logarithmic functions. 8-3 Properties of Logarithms 1.01 Operate with numbers to solve problems. Use logarithms and exponents to solve problems. 3.17 Natural Logarithms Same as 8.3 - 1.01 8-6 1 day The Natural Base e Same as 8.1 8-5 1/2 day Use logarithmic and exponential equations to solve problems. Solve by graphing, substitution, applying the 1 day inverse relationship, and using properties of equality. Mid Chapter Quiz 8-4 1/2 day Solving Exponential and Logarithmic Equations Same as 8.3 - 3.17 Unit Test Number of Days to be spent on each Section 1 day 1 day 7 days Chapter 9 Polynomials and Polynomial Functions 9-1 Operations With Polynomials 9-2 Graphs of Polynomial Functions 3.07 Use polynomial equations to solve problems by graphing 9-3 1 1/2 days 2 days Factoring Polynomial and Solving Polynomial Equations 1.02 Operate with algebra expression to solve problem. - Factor polynomials and other algebraic expression completely over the real numbers 1/2 day 9-4 1/2 day Polynomial Division, Factors and Remainders 1.02 Operate with algebraic expressions to solve problems. Divide one polynomial by another of a lower degree using synthetic division or the division algorithm. 1/2 day Mid Chapter Quiz 9-5 Finding Rational Zeros 3.08 Find zeros, intercepts, and approximate the turning points of polynomial functions; descibe them in the context of text problem 9-6 Connections: Zeros, Factors and Solutions Unit Test Number of Days to be spent on each Section 1 day 1 day 1/2 day 7 1/2 days Chapter 10 Rational Functions 1/2 day 10 - 1 Graphs of Rational Functions 3.10 Use rational equations to solve problems. Solve by graphing identify the asymptotes and intercepts. 10 - 2 Inverse and Joint Variations 1.02 Operate with algebraic expressions to solve problems. Solve problems using direct, inverse. combined and joint variation. 10 - 3 Multiplying and Dividing Rational Expressions 1.02 Operate with algebraic expressions to solve problems. Find the sums, differences, products and quotients of rational algebraic expressions. Quiz Number of Days to be spent on each Section 1/2 day 1 day 1 day 10 - 4 Solving Rational Equations 3.10 Use rational equations to solve problems. Solve by graphing identify the asymptotes and intercepts. Factoring. Finding the zeros and asymptotes through analysis of the polynomials in the numerator and denominator. 10 - 5 Addition, Subtraction and Complex Fractions 1.02 Operate with algebraic expressions to solve problems. Simplify complex fractions. Unit Test Number of Days to be spent on each Section 1 day 2 days 1 day 7 days Chapter 11 Quadratic Relations 11 - 1 Parabolas 2.01 Write the equations in standard form of circles. Graphs. 11 - 2 Circles and Points of Intersection 2.01 Write the equations in standard form of parabolas. Graphs. 11 - 3 Ellipses 2.02 Graph ellipses given the equations. 11 - 4 Hyerbolas 2.02 Graph hyperbolas given the equations. 1 day 1/2 day 1/2 day Quiz Extra Topic Set Notation Number of Days to be spent on each Section 1 day 1 day 4 days 2 days