Scope and Sequence: Honors Algebra II Holt © 2007 Suggested Timeline for Instruction: Honors Algebra II (Holt) (Middle School Version) Wicomico County Public Schools 2013 – 2014 CHAPTER TITLE DATES NOTES Algebra I Review August 27 – August 30 Chapter 1 –Properties and Operations September 3 – September 18 Chapter 2 – Linear Functions September 19 – October 9 Chapter 3 – Linear Systems October 10 – October 17 Chapter 6 – Polynomial Functions October 21 – November 1 September 2 September 27 October 18 November 4 Labor Day Professional Day MSEA Convention Professional Day November 18-22 November 27-29 Dec 21-Jan 5 January 20 Amer. Ed. Week Thanksgiving Holiday Winter Break MLK Jr Birthday October 29 – End of Term 1 Chapter 6 – Polynomial Functions November 5 – November 22 Chapter 5 – Quadratic Functions November 25 – January 8 Chapter 8 – Rational Expressions January 9 – January 23 January 22 – End of Term 2 (Teacher-Created Midterm Exam) Chapter 8 – Rational Expressions January 27 – February 11 Chapter 7 – Exponential Functions and Logarithms February 12 – March 21 (include 8.1) Chapter 9 – Properties and Attributes of Functions March 24 – April 1 January 24 February 17 March 4-5 March 11-12 March 31 Professional Day President’s Day MSA Math MSA Reading Professional Day April 17-21 May 26 June 4-6 Spring Break Memorial Day Half Days March 28 – End of Term 3 Chapter 9 – Properties and Attributes of Functions April 2 – April 16 Chapter 10 – Conic Sections April 22 – May 9 Chapter 4 – Matrices May 12 – May 21 Chapter 12 – Sequences and Series May 22 – June 6 June 6 – End of Term 4 (Teacher-Created Final Exam) Wicomico County Public Schools 1 Revised 2011 Scope and Sequence: Honors Algebra II Wicomico County Public Schools 2 Holt © 2007 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 1 Resources Topics 3 Days Worksheets: Review of Algebra I Cross-Cross-Across Interval Notation Review of Algebra Algebra I Properties Equations Inequalities See Review Sheet Provided 1.3 Simplifying Radicals Highlighted Vocabulary +, - , x, ÷, Radicals Rationalize Denominators 1 Day Pages 21-26 Chart Pg 22 Chart Pg 23 2 Days Pages 34-41 Chart(s) Pg 34, 35,36 1.5 Properties of Exponents Highlighted Vocabulary Simplify expressions involving exponents Properties Scientific Notation 1 Day Pages 44-50 1.6 Relations & Functions Highlighted Vocabulary Identify Domain & Range Determine if Function or Relation Vertical Line Test Wicomico County Public Schools Core Learning Goals Notes CLG 1, 3 Algebra I 2.7.4 The student will simplify and evaluate expressions with rational exponents. 2.7.5 The student will perform operations on radical and exponential forms of numerical and algebraic expressions. 2.7.4 The student will simplify and evaluate expressions with rational exponents. 2.7.5 The student will perform operations on radical and exponential forms of numerical and algebraic expressions 1.1.1 The student will determine and interpret a linear function when given a graph, table or values, essential characteristics of the function, or a verbal description of a real-world situation. 1.1.2 The student will determine and interpret a quadratic function when given a graph, table of values, essential characteristics of the function, or a verbal description of a real-world situation. 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. 3 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 1 Resources Topics Core Learning Goals 1 Days Pages 51-57 1.7 Function Notation Highlighted Vocabulary Write Functions Using Function Notation Evaluate & Graph Functions 2 Days Pages 59-66 Charts Pg 60, 61 Think & Discuss Page 62 1 Day Page 67—73 See Chart Pg 67 1.8 Transformations Highlighted Vocabulary Apply Transformations to Points & Sets of Points Interpret Transformations of Real-World Data 1.9 Parent Functions Highlighted Vocabulary Identify Parent Functions from Graphs & Equations Use Parent Functions to Model Real-World Data & Make Estimates for Unknown Values Notes 2.3 The student will identify linear and nonlinear functions expressed numerically, algebraically, and graphically. 2.4 The student will describe or graph notable features of a function using standard mathematical terminology and appropriate technology. 2.2.3 The student will perform translations, reflections, and dilations on functions. 1.1.2 The student will determine and interpret a quadratic function when given a graph, table of values, essential characteristics of the function, or a verbal description of a real-world situation. 1.2 Given an appropriate real-world situation, the student will choose an appropriate linear quadratic polynomial, absolute value, piecewise-defined, simple rational or exponential model & apply that model to solve the problem. 1.3.1 The student will describe the reasoning & processes used in order to reach the solution to a problem. 1.3.2 The student will ascribe a meaning to the solution in the context of the problem &consider the reasonableness of the solution. 2.3 The student will identify & nonlinear functions expresses numerically, algebraically, & graphically. End Chapter 1 Wicomico County Public Schools 4 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 2 Topics Resources Core Learning Goals 1 Day Page 105-112 Chart Page 108 Think & Discuss Page 109 Explore Graph & Windows Pg 113 2 Days Page 115-123 Chart Pg 116, 119 Think & Discuss Page 120 2.3 Graphing Linear Functions Highlighted Vocabulary Determine Whether a Function is Linear Graph a Linear Function Given Two Points, a Table, an Equation, or a Point and a Slope. 1.1.1 The student will determine and interpret a linear function when given a graph, table or values, essential characteristics of the function, or a verbal description of a real-world situation. 2.4 Writing Linear Function Highlighted Vocabulary Use Slope-intercept form & Point-slope to Write Linear Functions Write linear Functions to Solve Problems 1.1.1 The student will determine and interpret a linear function when given a graph, table or values, essential characteristics of the function, or a verbal description of a real-world situation. 2 Days Page 124Think & Discuss Page 127 2.5 Linear Inequalities in 2 Variables Highlighted Vocabulary Graph Linear Inequalities on Coordinate Plane Solve Problems Using Linear Functions 2.5 The student will use numerical, algebraic, and graphical representations to solve equations and inequalities. 4 Days Chart Pg 134, 135 Think & Discuss Page 137 2.6 Transforming Linear Function Highlighted Vocabulary Transform Linear Functions Solve Problems Involving Linear Transformations 2.8 Absolute Value Equations & Inequalities Highlighted Vocabulary Solve Compound Inequalities Write & Solve Absolute-value Equations & Inequalities 2.2.3 The student will perform translations, reflections, and dilations on functions. 2.9 Absolute Value Functions Highlighted Vocabulary Graph & Solve Absolute Value Functions 2.1.1 The student will identify and use alternative representations of linear, piecewise-defined, quadratic, polynomials, simple rational and exponential functions. 2 Days Read Math pg 150 Charts pg 151, 152 Helpful Hint Pg 153 Think & Discuss Page 153 Technology Pg 157 2 Days Chart Pg 158, 159 Think & Discuss Page 160 Notes 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. End Chapter 2 Wicomico County Public Schools 5 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 3 Resources 1 Day Think & Discuss Page 194 1 Day 2 Days Picture Pg 221 Worksheet 3.6 Worksheet 3eq-3var Topics Core Learning Goals 3.2 Solving Systems Algebraically Highlighted Vocabulary Solve Equations by Substitution Solve Equations by Elimination 3.3 Linear Equations Highlighted Vocabulary Solve Systems of Linear Equations 3.6 Solving Linear Systems in 3 Variables Highlighted Vocabulary Represent Solutions to Systems of Equations in Three Dimensions Graphically Represent Solutions to Systems of Equations in Three Dimensions Algebraically Notes 2.6 The student will solve systems of linear equations & inequalities. 2.6 The student will solve systems of linear equations & inequalities. 2.6 The student will solve systems of linear equations & inequalities. End Chapter 3 Wicomico County Public Schools 6 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 6 Resources 1 Day Chart Pg 407 Caution Pg 409 Think & Discuss Pg 409 2 Days Chart Pg 416 Think & Discuss Pg 417 3 Days Chart Pg 423, 424 Think 7 Discuss pg 425 2 DaysWorksheet SlipSlide 3 Days Chart Pg 430, 431 Think & Discuss Pg 432 3 Days Chart Pg 453, 454, 455 Reading Note Pg 456 Think & Discuss Pg 456 3 Days Chart Pg 460 Think & Discuss Pg 463 Topics Core Learning Goals 6.1 Polynomials Highlighted Vocabulary Identify, Evaluate, Add & Subtract Polynomials Classify & Graph Polynomials 6.2 Multiplying Polynomials Highlighted Vocabulary Multiply Polynomials Use Binomial Expansion to Expand Binomial Expansion to Expand Binomial Expressions that are Raised to Positive Integer Powers 6.3 Dividing Polynomials Highlighted Vocabulary Use Long & Synthetic Division to Divide Polynomials Review Factoring 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. 6.4 Factoring – Grouping & Cubes Highlighted Vocabulary Use the Factor Theorem to Determine Factors of a Polynomial Factor the Sum & Difference of 2 Cubes 6.7 Investigating Graphs of Polynomial Functions Highlighted Vocabulary Use Properties of Behavior to Analyze, Describe & Graph Polynomial Functions Identify & Use Maxima & Minima of Polynomial Functions to Solve Problems 2.2.1 The student will add, subtract, multiply, and divide functions. 6.8 Transforming Polynomial Functions Highlighted Vocabulary Transform Polynomial Functions Notes 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. Algebra I, CLG 1, 3 2.1.1 The student will identify and use alternative representations of linear, piecewise-defined, quadratic, polynomials, simple rational and exponential functions. 2.8 The student will use literal equations and formulas to extract information. 2.2.3 The student will perform translations, reflections, and dilations on functions. End Chapter 6 Wicomico County Public Schools 7 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 5 Resources 2 Days Chart Pg 315, 316, 317 Think & Discuss Pg 319 2 Days Chart Pg 323, 324, 326 Think & Discuss Pg 327 1 DayWorksheet SlipSlide 3 Days Chart Pg 334,336 Think & Discuss Pg 337 3 Days Chart Pg 341, 342, 343 Think & Discuss Pg 344 2 Days Chart Pg 350, 351 Think & Discuss Pg 352 3 Days Chart Pg 382, 384 Think & Discuss Pg 385 2 Days Chart Pg 356, 358, 360 Think & Discuss Pg 360 Topics Core Learning Goals 5.1 Using Transformations to Graph Quadratic Functions Highlighted Vocabulary Transform Quadratic Functions Describe the Effects of changes in the coefficients of y = a(x-h)2 5.2 Properties of Quadratic Functions in Standard Form Highlighted Vocabulary Define, Identify, & Graph Quadratic Functions Identify & Use Maximums & minimums of Quadratic Functions to Solve Problems Foil Review 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. 5.3 Solving Quadratic Equations by Graphing & Factoring Highlighted Vocabulary Solve Quadratic Equations by Graphing or Factoring Determine a Quadratic Function from Its Zeros 5.4 Completing the Square Highlighted Vocabulary Solve Quadratic Equations by Completing the Square Write Quadratic Equations in Vertex Form 5.5 Complex Numbers & Roots 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. 2.8 The student will use literal equations and formulas to extract information. Highlighted Vocabulary Define & Use Imaginary & Complex Numbers Solve Quadratic Equations with Complex Roots 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. Algebra I CLG 1, 2 2.5 The student will use numerical, algebraic, and graphical representations to solve equations & inequalities. 2.7.2 The student will perform operations on complex numbers. 5.9 Operations with Complex Numbers Highlighted Vocabulary 2.7.2 The student will perform operations on complex numbers. 5.6 Quadratic Formula Highlighted Vocabulary Solve Quadratic Equations Using the Quadratic Formula 2.7.3 The student will determine the nature of the roots of a quadratic equation& solve quadratic equations of the form y=ax2 + bx +c by factoring & the quadratic formula. Wicomico County Public Schools 8 Notes Revised 2011 Scope and Sequence: Honors Algebra II 2 Days Chart Pg 366, Think & Discuss Pg 370 Classify Roots Using the Discriminate 5.7 Quadratic Inequalities Highlighted Vocabulary Solve Quadratic Inequalities by Using Table & Graphs Solve Quadratic Inequalities by Using Algebra Holt © 2007 2.1.2 The student will identify the domain, range, the rule or other essential characteristics of a function. 2.5 The student will use numerical, algebraic, and graphical representations to solve equations & inequalities. End Chapter 5 Wicomico County Public Schools 9 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 8 Resources Topics 2 Days Chart Pg 578 Think & Discuss Pg 580 8.2 Multiplying & Dividing Rational Expressions Highlighted Vocabulary Simplify Rational Expressions Multiply & Divide Rational Expressions 8.3 Adding & Subtracting Rational Expressions Highlighted Vocabulary Add & Subtract Rational Expressions Simplify Complex Fractions 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. 8.5 Solving Rational Equations & Inequalities Highlighted Vocabulary Solve Rational Equations & Inequalities 8.6 Radical Expressions & Rational Exponents Highlighted Vocabulary Rewrite Radical Expressions by Using Rational Exponents Simplify & Evaluate Radical Expressions & Expressions containing Rational Exponents 8.8 Solve Radical Equations & Inequalities Highlighted Vocabulary Solve Radical Equations & Inequalities 2.5 The student will use numerical, algebraic, and graphical representations to solve equations & inequalities. 2.5 The student will use numerical, algebraic, and graphical representations to solve equations & inequalities. 2 Days Chart Pg 584 Remember Pg 584 Helpful Hint Pg 585 Think & Discuss Pg 587 5 Days Think & Discuss Pg 604 3 Days Chart Pg 610, 611, 612 Think & Discuss Pg 614 4 Days Chart Pg 628 Helpful Hint Pg 629 Think & Discuss Pg 632 Core Learning Goals Notes 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. 2.5 The student will use numerical, algebraic, and graphical representations to solve equations & inequalities. End Chapter 8 Chapter 7 Wicomico County Public Schools 10 Revised 2011 Scope and Sequence: Honors Algebra II Resources Topics 3 Days Student to Student Pg 491 Think & Discuss 493 7.1 Exponential Functions – Growth & Decay Highlighted Vocabulary Write & Evaluate Exponential Expressions to model growth & decay 2 Days Think & Discuss 573 8.1 Variation Highlighted Vocabulary Solve Problems Involving Direct, Inverse, Joint, & Combined Variation 7.2 Inverses of Relations & Functions Highlighted Vocabulary Graph & Recognize Inverses of Relations & Functions Find Inverses of Functions 7.3 Logarithmic Functions Highlighted Vocabulary Write Equivalent Forms for Exponential & Logarithmic Functions Write, Evaluate & Graph Logarithmic Functions 2 Days Think & Discuss Pg 501 3 Days Read Math Pg 505 Chart Pg 505, 506 Think & Discuss Pg 508 4 Days Chart Pg 512, 513, 514 Think & Discuss Pg 515 7.4 Properties of Logarithms Highlighted Vocabulary Use properties to Simplify Logarithmic Expressions Translate between Logarithmic Expression 4 Days 7.5 Exponential & Logarithmic Equations Highlighted Vocabulary Solve Exponential& Logarithmic Equations & Inequalities Solve Problems Involving Exponential & Logarithmic Equations Wicomico County Public Schools Core Learning Goals Holt © 2007 Notes 1.1.3 The student will determine & interpret as exponential function when given a graph, table of values, essential characteristics of the function, or a verbal description of a real-world situation. 1.1.4 The student will be able to use logarithms to solve problems that can be modeled using an exponential function. 2.2 The student will perform a variety of operations and geometrical transformations on functions. 2.2.2 The student will find the composition of two functions & determine algebraically and/or graphically if two functions are inverses. 1.1.4 The student will be able to use logarithms to solve problems that can be modeled using an exponential function. 2.7.5 The student will perform operations on radical & exponential forms of numerical & algebraic expressions. 2.7.6 The student will simplify & evaluate expressions & solve equations using properties of logarithms. 1.1.4 The student will be able to use logarithms to solve problems that can be modeled using an exponential function. 2.7.5 The student will perform operations on radical & exponential forms of numerical & algebraic expressions. 2.7.6 The student will simplify & evaluate expressions & solve equations using properties of logarithms. 2.7.5 The student will perform operations on radical & exponential forms of numerical & algebraic expressions. 2.7.6 The student will simplify & evaluate expressions & solve equations using properties of logarithms. 11 Revised 2011 Scope and Sequence: Honors Algebra II 2 Days 7.7 Translations of Exponential Functions Highlighted Vocabulary Transform Exponential & Logarithmic Functions by Changing Parameters Describe the Effects of Changes in the Coefficients of Exponential & Logarithmic Functions Holt © 2007 2.7.6 The student will simplify & evaluate expressions & solve equations using properties of logarithms. End Chapter 7 Chapter 9 Resources Topics Core Learning Goals 4 Days Remember Pg 662 Think & Discuss Pg 665 9.2 Piecewise & Step Functions Highlighted Vocabulary Write & Graph Piecewise Functions Use Piecewise Functions to Describe RealWorld Situations 5 Days Chart Pg 682, 683 Think & Discuss Pg 685 9.4 Operations with Functions – Including Function Composition Highlighted Vocabulary Add, Subtract, Multiply, & Divide Functions Write & Evaluate Composite Functions 9.5 Function & Their Inverses Highlighted Vocabulary Determine whether the inverse of a Function is a Function Write Rules for the Inverses of Functions 3 Days Chart Pg 690, 692 Think & Discuss Pg 693 Notes 2.1.1 The student will identify and use alternative representations of linear, piecewise-defined, quadratic, polynomials, simple rational and exponential functions. 2.3 The student will identify linear & nonlinear functions expressed numerically, algebraically, and graphically. 2.2.2 The student will find the composition of two functions and determine algebraically and/or graphically if two functions are inverses. 2.2.2 The student will find the composition of two functions and determine algebraically and/or graphically if two functions are inverses. End Chapter 9 Wicomico County Public Schools 12 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 10 Resources 1 Days Chart Pg 578 Think & Discuss Pg 580 3 Days Chart Pg 584 Remember Pg 584 Helpful Hint Pg 585 Think & Discuss Pg 587 3 Days Think & Discuss Pg 604 2 Days Chart Pg 610, 611, 612 Think & Discuss Pg 614 3 Parabola Worksheets 1 Days Think & Discuss 573 2 Days Chart Pg 760, 761 Application Pg763 Think & Discuss Pg 763 Topics Core Learning Goals 10.2 Circles Highlighted Vocabulary Write an Equations for a Circle Graph a circle, & identify Its Center & Radius 10.3 Ellipses Highlighted Vocabulary Write the Standard Equation for an Ellipse Graph an Ellipse, & Identify Its Center, Vertices, Co-Vertices, & Foci 10.4 Hyperbolas Highlighted Vocabulary Write the Standard Equation for a Hyperbola Graph a Hyperbola, & Identify Its Vertices, CoVertices, Center, Foci, & Asymptotes 10.5 Parabolas Highlighted Vocabulary Write the Standard Equation for a Parabola & Its Axis of Symmetry Graph a Parabola & Identify Its Focus, Directrix, & Axis of Symmetry 10.1 Introduction of Conic Sections Highlighted Vocabulary Recognize Conic Sections as Intersections of Planes & Cones Use the Distance & Midpoint Formulas to Solve Problems 1.1.2.0 The student will determine and interpret information from models of simple conic sections. 10.6 Identifying Conic Sections Highlighted Vocabulary Identify & Transform Conic Sections Use Completing the Square to Identify & Graph Conic Sections 1.1.2.0 The student will determine and interpret information from models of simple conic sections. Notes 1.1.2.0 The student will determine and interpret information from models of simple conic sections. 1.1.2.0 The student will determine and interpret information from models of simple conic sections. 1.1.2.0 The student will determine and interpret information from models of simple conic sections. 1.1.2.0 The student will determine and interpret information from models of simple conic sections. End Chapter 10 Wicomico County Public Schools 13 Revised 2011 Scope and Sequence: Honors Algebra II Holt © 2007 Chapter 4 Resources 1 Day Charts pg. 270, 271, 273 Application pg. 273 Think and Discuss pg. 274 2 Days Chart pg. 288 Application pg. 290 Think and Discuss pg. 290 Topics Core Learning Goals 4.4 Determinants and Cramer’s Rule ● Highlighted Vocabulary ● Find the determinants of 2x2 and 3x3 matrices. ● Use Cramer’s rule to solve systems of linear equations. 2.6 The student will solve systems of linear equations and inequalities 4.6 Row Operations and Augmented Matrices ● Highlighted Vocabulary ● Use elementary row operations to solve systems of equations. 2.6 The student will solve systems of linear equations and inequalities Notes End Chapter 4 Note: Vocabulary Worksheets included for Unit I, Unit 2, Unit 3, Unit 5, Unit 6, Unit 7, Unit 8, Unit 9, Unit 13 Chapter 12 Wicomico County Public Schools 14 Revised 2011 Scope and Sequence: Honors Algebra II Resources Topics Core Learning Goals 2 days Application pg. 864 Think and Discuss pg. 865 2 days Charts pg. 871 Application pg. 872 Think and Discuss pg. 873 2 days Charts pg. 880,882 Application pg. 883 Think and Discuss pg. 883 12.1 Introduction to Sequences ● Highlighted Vocabulary ● Find the nth term of a sequence ● Write rules for sequences 12.2 Series and Summation Notation ● Highlighted Vocabulary ● Evaluate the sum of a series expressed in sigma notation 2.9.0.1 The student will represent the general term of an arithmetic or geometric sequence and use it to determine the value of the particular term. 12.3 Arithmetic Sequences and Series ●Highlighted Vocabulary ●Find the indicated terms of an arithmetic sequence. ●Find the sums of arithmetic series 2 days Charts pg. 891,892,893 Application pg. 894 Think and Discuss pg. 894 12.4 Geometric Sequences and Series ●Highlighted Vocabulary ●Find terms of a geometric sequence including the geometric means ●Find the sums of geometric series 2.9.0.1 The student will represent the general term of an arithmetic or geometric sequence and use it to determine the value of the particular term. 2.9.0.2 The student will represent partial sums of an arithmetic or geometric sequence and determine the value of a particular partial sum. 2.9.0.1 The student will represent the general term of an arithmetic or geometric sequence and use it to determine the value of the particular term. 2.9.0.2 The student will represent partial sums of an arithmetic or geometric sequence and determine the value of a particular partial sum. Holt © 2007 Notes 2.9.0.3. The student will find the sum of an infinite geometric series whose common ratio, r, is the interval (-1,1). End Chapter 12 Wicomico County Public Schools 15 Revised 2011