Jefferson County High School Algebra II Pacing Guide Textbook Glencoe Algebra 2 (2005)

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1 DRAFT Jefferson County High School Algebra II Pacing Guide Textbook Glencoe Algebra 2 (2005) DRAFT Unit 1 QUICK Review of Chapters 1 and 2 (and a little bit of new material) Solving Equations and Inequalities AND Linear Relations and Functions Estimated Time to Complete: 9 Days Day Section Performance Indicator Page Numbers Suggested Problem Set Resources 1 1:1 First day activities 6-10 Page The learner will use order of operations to evaluate expressions and formulas. 2 1:3 The learner will translate verbal expressions into algebraic expressions and equations, and vice versa; and the learner will solve equations using the properties of equality Pages :4 The learner will evaluate expressions involving absolute value and solve equations involving absolute value. 3 1:5 The learner will solve inequalities and solve real world problems involving inequalities. 1:6 The learner will solve compound inequalities and absolute value inequalities. 4 2:1 The learner will analyze and graph relations and find functional values. 2:2 The learner will identify linear equations and functions and write linear equations in standard form and graph them. 5 2:3 The learner will find and use the slope of a line and graph parallel and perpendicular lines. 2:4 The learner will write an equation of a line given the slope and a point on the line and write an equation of a line that is parallel or perpendicular to a given line Pages Page Page Pages , Page Pages , Pages :5 The learner will draw scatter plots and find Pages and use prediction equations :6 The learner will identify and graph step, Pages 93-94

2 constant, and identity functions and identify and graph absolute value and piecewise functions. 2:7 The learner will graph linear inequalities and absolute value inequalities. 8 Review 9 Test Unit 2 Chapters 3 & 4 Systems of Equations and Inequalities AND Matrices 10 3:1 The learner will solve systems of linear equations by graphing. 3:2 The learner will solve systems of two linear equations by using substitution and elimination. 11 3:3 The learner will solve systems of inequalities by graphing and use systems of linear inequalities in contextual 3:4 The learner will solve linear programming problems and use linear programming in contextual 12 3:5 The learner will solve systems of linear equations in three variables and solve problems using systems of linear equations in three variables. 13 4:1 The learner will organize data in matrices and solve equations involving matrices. 4:2 The learner will add and subtract matrices, multiply a matrix by a scalar, and use matrices in real-life 4:3 The learner will multiply two matrices and use matrix multiplication in real-life 14 4:5 The learner will evaluate determinants of 2x2 and 3x3 matrices. 4:7 The learner will find and use inverse matrices and use inverse matrices in reallife situations 15-20, Page Estimated Time to Complete: 8 Days Page Page Page Pages , Page Pages Page Page Page , Page :8 The learner will solve systems of linear Page 206

3 equations using inverse matrices and use systems of linear equations in contextual 16 Review 17 Test Unit 3 Part of Chapters 5, 6, & 9 Polynomials, Solving Quadratic Equations and Inequalities, AND Rational Expressions and Equations 18 5:1 The learner will multiply and divide monomials and use expressions written in scientific notation. 19 5:2 The learner will add, subtract, and multiply polynomials and use polynomial operations in contextual 5:3 The learner will divide polynomials using long division and synthetic division :4 The learner will factor polynomial expressions. 22 6:3 The learner will solve quadratic equations by factoring. 9:1 The learner will simplify, multiply, divide rational expressions, simplify complex fractions, and use rational expressions to model real-life quantities. 23 9:2 The learner will add and subtract rational expressions. 24 9:3 The learner will graph simple rational functions and use the graph of a rational function in contextual 25 9:6 The learner will solve rational equations and inequalities and use rational equations in contextual 26 Review 27 Test Unit 4 Part of Chapter 5 Polynomials :5 The learner will evaluate the nth roots of real numbers and use nth roots in Estimated Time to Complete: 10 Days Pages Pages , Pages Supplement Page Page Pages Page Page Estimated Time to Complete: 6 Days Page

4 contextual 5:6 The learner will simplify, add, subtract, multiply, and divide radical expressions. 30 5:7 The learner will write expressions with rational exponents in radical form, and vice versa; and the learner will simplify expressions in exponential or radical form and use properties of rational exponents in contextual 5:8 The learner will solve equations and inequalities that contain radicals or rational exponents and use radical equations in contextual 31 5:9 The learner will add, subtract, multiply, and divide complex numbers. 32 Review 33 Test Unit 5 Chapter 6 Quadratic Functions and Inequalities 34 6:2 The learner will solve quadratic equations by graphing. 6:3 The learner will write quadratic equations with given roots. 35 6:4 The learner will solve quadratic equations by using the square root property and by completing the square. 36 6:5 The learner will solve quadratic equations using the quadratic formula and use the quadratic formula in real-life situations; and the learner will use the discriminant to determine the number and types of roots in a quadratic equation. 37 6:7 The learner will graph quadratic inequalities in two variables and solve quadratic 38 Review 39 Test inequalities in one variable Page Page Page Page Estimated Time to Complete: 6 Days Pages Page Pages Page Page

5 Unit 6 Chapter 8 Conic Sections 40 8:1 The learner will find the midpoint of a segment on the coordinate plane and the distance between two points on a coordinate plane. 8:3 The learner will graph and write equations of circles and use circles in contextual 41 8:2 The learner will graph and write equations of parabolas and use parabolas in contextual 42 8:4 The learner will graph and write equations of ellipses and use ellipses in contextual 43 8:5 The learner will graph and write equations of hyperbolas and use hyperbolas in contextual 44 8:6 The learner will write the equation of conic sections in standard form and identify conic sections from their equation. 45 8:7 The learner will solve systems of quadratic equations algebraically and graphically and use quadratic systems in contextual 46 Review 47 Test Unit 7 Chapter 7 Polynomial Functions 48 7:1 The learner will evaluate polynomial functions and identify general shapes of graphs of polynomial functions. Estimated Time to Complete: 8 Days Pages Pages Page , Pages Pages Page Page Estimated Time to Complete: 7 Days Pages The learner will analyze the graph of a polynomial function and use the graph of a polynomial function to answer questions about contextual 7:2 The learner will graph polynomial functions Page 356

6 and locate their real zeros and find the maxima and minima of polynomial functions; and the learner will analyze the graph of polynomial functions and use the graph of polynomial functions to answer contextual :4 The learner will divide polynomials and relate the result to the remainder theorem and the factor theorem and use polynomial division in contextual 7:5 The learner will determine the number and type of roots for a polynomial equation and find the zeros of a polynomial function with and without technology. 7:6 The learner will find the rational zeros of a polynomial function and use polynomial equations in contextual 51 7:7 The learner will perform operations with and use function operations in contextual 52 7:8 The learner will find inverses of linear functions and find inverses of nonlinear functions. 7:9 The learner will graph and analyze square root and cube root functions and inequalities and use square root and cube root functions to find real-life quantities. 53 Review 54 Test Unit 8 Chapter 10 Exponential and Logarithmic Relations :1 The learner will graph exponential functions and solve exponential equations and inequalities. 10:2 The learner will evaluate logarithmic expressions, graph logarithmic functions, and solve logarithmic equations and Pages Pages Page Pages Page Supplement nonlinear Page Supplement cube roots Estimated Time to Complete: 7 Days Page , Page

7 inequalities :3 The learner will simplify and evaluate expressions using the properties of logarithms, solve logarithmic equations using the properties of logarithms, and use properties of logarithms in contextual 58 10:4 The learner will solve exponential equations and inequalities using common logarithms and evaluate logarithmic expressions using the change of base formula. 10:5 The learner will evaluate expressions involving the natural base and natural logarithms, solve exponential equations and inequalities using natural logarithms, and use the natural base e in real life 59 10:6 The learner will use logarithms to solve problems involving exponential growth and exponential decay and graph exponential and exponential decay functions Page Pages Pages Pages Review 61 Test Unit 9 Chapter 11 Sequences and Series 62 11:1 The learner will use and write sequences Pages :2 The learner will use arithmetic series, use sigma notation, and use arithmetic sequences and series in contextual 63 11:3 The learner will use geometric sequences and use geometric sequences in contextual 11:4 The learner will use geometric series and use geometric sequences and series in contextual 64 11:5 The learner will find the sums of infinite geometric series and use an infinite series Estimated Time to Complete: 6 Days Pages Page Page Page

8 as a model :7 The learner will use Pascal s and the Binomial Theorem to expand powers of binomials. 66 Review 67 Test Unit 10 Chapters 13 & 14 Trigonometric Functions AND Trigonometric Graphs and Identities 68 13:1 The learner will use trigonometric relationships to evaluate trigonometric functions of acute angles and use trigonometric functions in contextual 69 13:2 The learner will measure angles in standard position using degree measure and radian measure. 13:3 The learner will evaluate trigonometric functions of any angle and use trigonometric functions in contextual 70 13:4 The learner will use the law of sines to find the sides and angles of a triangle :7 The learner will evaluate inverse trigonometric functions and use inverse trigonometric functions in contextual :1 The learner will graph sine and cosine functions and graph tangent functions :2 The learner will graph translations of sine and cosine functions and graph translations and reflections of tangent graphs :3 The learner will use identities to find trigonometric values and use the identities to simplify expressions. 76 Review 77 Test Pages Estimated Time to Complete: 10 Days Pages , 29-34, 41, Pages , Pages , 45 (Possibly include linear/angular velocity problems) Page , Page Page , 16, 18, 21, 25, Pages , 21, 25, 33, Pages , 25-29, 31, 33

9 Unit 11 Chapter 12 Probability and Statistics 78 12:2 The learner will solve problems involving linear permutations and combinations. 79 The learner will find the probability and odds Supplement of events and create and use graphs of probability distributions :6 The learner will use measures of central tendency to represent a set of data and find measures of variation for a set of data :7 The learner will determine whether a set of data appears to be normally distributed or skewed and solve problems using normally distributed data. 82 Review 83 Test Estimated Time to Complete: 6 Days Page , 14-17, 25, 26, Supplement Pages , 17, 21-23, Page

Statewide Framework Document for:

Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance