1 Curriculum and Pacing Guide Mathematics: Algebra I Honors 1200320 Revised – June 2011 General Strategies The student will use new vocabulary that is introduced and taught directly; The student will listen to, read, and discuss familiar and conceptually challenging text; The student will relate new vocabulary to familiar words; The student will pre-write by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style. Online Resources: ThinkCentral Online Edition: Thinkcentral.com For Teachers -Editable lesson plans and worksheets -Lesson transparencies -Powerpoint Presentations -Leveled practice worksheets -IDEA Works! Modified worksheets, quizzes, And test for special needs students -Interactive Quizzes and Tests For Students -Student Edition -Video Tutor w/Practice -Animated Algebra -@HomeTutor Online -Extra practice broke out by lesson and chapter -All workbooks -Graphing Calculator -Virtual manipulatives -Parent resource Benchmark LA.910.1.6.1 LA.910.1.6.2 LA.910.1.6.5 LA.910.3.1.3 2 Essential Questions: Quarter 1 How do you write and evaluate algebraic expressions? (Ch.1) Can you use expressions to write equations and inequalities? (Ch.1). How do you represent functions as verbal rules, equations, tables, and graphs? (Ch.1). Can you performing operations with real numbers? (Ch.2) Are you able to apply properties of real numbers? (Ch.2) How do you classify and reason with real numbers? (Ch.2) Can you solve equations in one variable? (Ch.3) How do you solve proportions and percent problems? (Ch.3) Can you rewriting equations in two or more variables? (Ch.3) Can you graph linear equations and functions using a variety of methods? (Ch.4) How do you recognize how changes in linear equations and functions affect their graphs? (Ch.4) Can you use the graphs of linear equations and functions to solve real-world problems? (Ch.4) Quarter 2 Are you able to write linear equations in a variety of forms? (Ch.5) Can you use linear models to solve problems? (Ch.5) Are you able to model data with a line of fit? (Ch.5) Can you apply the properties of inequality? (Ch.6) Note: H.O.T. Questions Are you able to use statements with and or or? (Ch.6) end of this document. How do you graph inequalities? (Ch.6) How do you solve linear systems by graphing? (Ch.7) Can you solve linear systems using algebra? (Ch.7) What is the process of solving systems of linear inequalities? (Ch.7) Quarter 3 Can you apply properties of exponents to simplify expressions? (Ch.8) Are you able to work with numbers in scientific notation? (Ch.8) Can you write and graph exponential functions? (Ch.8 Can you add, subtract, and multiply polynomials? (Ch.9) Are you able to factor different types of polynomials? (Ch.9) Can you write and then use polynomial equations to solve problems? (Ch.9) How do you graph a quadratic function? (Ch.10) Can you solve quadratic equations? (Ch.10) Are you able to compare linear, exponential, and quadratic models? (Ch.10) Quarter 4 Can you graph square root functions? (Ch.11) Are you able to use properties of radicals in expressions and equations? (Ch.11) Can you work with radicals in geometry? (Ch.11) How do you graph rational functions? (Ch.12) Can you perform operations on rational expressions? (Ch.12) How do you solve rational expressions? (Ch.12) (by lesson) are located at the 3 Year at a Glance: 1st Quarter Course Content Sunshine State Standards* Chapter 1 – Expressions, Equations, and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.10.1 Chapter 2 – Properties of Real Numbers MA.912.A.3.2, MA.912.D.7.1, MA.912.D.7.2, MA.912.A.10.1 Chapter 3 – Solving Linear Equations MA.912.A.3.1, MA.912.A.3.2, MA.912.A.3.3, MA.912.A.3.5, MA.912.A.3.7, MA.912.A.5.4, MA.912.A.10.1, MA.912.A.10.2 Chapter 4 – Graphing Linear Equations and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.3.1, MA.912.A.3.7, MA.912.A.3.8, MA.912.A.3.9, MA.912.A.3.11, MA.912.A.3.12, MA.912.A.10.2, MA.912.G.1.4 2nd Quarter Course Content Sunshine State Standards* Chapter 5 – Writing Linear Equations MA.912.A.2.3, MA.912.A.3.7, MA.912.A.3.9, MA.912.A.3.10, MA.912.A.3.11, MA.912.A.3.12, MA.912.A.10.2, MA.912.D.7.2, MA.912.G.1.4 Chapter 6 – Solving and Graphing Linear Inequalities MA.912.A.2.3, MA.912.A.3.4, MA.912.A.3.5, MA.912.A.3.6, MA.912.A.3.12, MA.912.A.10.1, MA.912.D.7.2 Chapter 7 – Systems of Equations and Inequalities MA.912.A.3.13, MA.912.A.3.14, MA.912.A.3.15, MA.912.A.10.1 3rd Quarter Course Content Sunshine State Standards* Chapter 8 – Exponents and Exponential Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.1, MA.912.A.10.1 Chapter 9 – Polynomials and Factoring MA.912.A.1.8, MA.912.A.2.3, MA.912.A.4.2, MA.912.A.4.3, MA.912.A.7.2, MA.912.A.7.8, MA.912.A.10.2 Chapter 10 – Quadratic Equations and Functions MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.3, MA.912.A.7.1, MA.912.A.7.6, MA.912.A.7.8, MA.912.A.7.10, MA.912.A.10.2 4th Quarter Course Content Sunshine State Standards* Chapter 11 – Radicals and Geometry Connections MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.6.1, MA.912.A.6.2, MA.912.A.10.1 Chapter 12 – Rational Equations and Functions MA.912.A.1.8, MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13, MA.912.A.4.4, MA.912.A.5.1, MA.912.A.5.3, MA.912.A.5.5, MA.912.A.5.7 4 Course Overview: Quarter 1 WEEK 1-2 3-4 5 -7 7-9 Concepts Number of Days/Calendar Events Introduction/Prerequisite Skills 1-1 Evaluating Expressions 1-2 Applying Order of Operations 1-3 Writing Expressions 1-4 Writing Equations and Inequalities 1-5 Use a Problem Solving Plan 1-6 Represent Functions as Rules and Tables 1-7 Represent Functions as Graphs Assessment 2-1 Use Integers and Rational Numbers 2-2 Add Real Numbers 2-3 Subtract Real Numbers 2-4 Multiply Real Numbers 2-5 Apply the Distributive Property 2-6 Divide Real Numbers 2-7 Find Square Roots and Compare Real Numbers Assessment 3-1 Solve One-Step Equations 3-2 Solve Two-Step Equations 3-3 Solve Multi-Step Equations 3-4 Solve Equations with Variables on Both Sides 3-5 Writing Ratios and Proportions 3-6 Solving Proportions Using Cross Products 3-7 Solving Percent Problems 3-8 Rewriting Equations and Formulas Assessment 10 Days 4-1 Plotting Points in a Coordinate Plane 4-2 Graphing Linear Equations 4-3 Graphing Using Intercepts 4-4 Find Slope and Rate of Change 4-5 Graph Using Slope-Intercept Form 4-6 Model Direct Variation 4-7 Graph Linear Functions Assessment 12 Days 9 Days 12 Days 5 Course Overview: Quarter 2 WEEK 10-13 13-16 16-17 Concepts 5-1 Write Linear Equations in Slope-Intercept Form 5-2 Use Linear Equations in Slope-Intercept Form 5-3 Write Linear Equations in Point-Slope Form 5-4 Write Linear Equations in Standard Form Arithmetic Sequences 5-5 Write Equations of Parallel and Perpendicular Lines 5-6 Fit Line to Data 5-7 Predict with Linear Models Assessment 6-1 Solve Inequalities Using Addition and Subtraction 6-2 Solve Inequalities Using Multiplication and Division 6-3 Solve Multi-Step Inequalities 6-4 Solve Compound Inequalities 6-5 Solve Absolute Value Equations 6-6 Solve Absolute Value Inequalities 6-7 Graph Linear Inequalities in Two Variables Assessment 7-1 Solve Linear Systems by Graphing 7-2 Solve Linear Systems by Substitution 7-3 Solve Linear Systems by Adding and Subtracting 7-4 Solve Linear Systems by Multiplying First 7-5 Solve Special Types of Linear Systems 7-6 Solve Systems of Linear Inequalities Assessment Midterm Week 18-19 Date Completed / Notes 12 Days 14 Days 9 Days 5 Days 6 Course Overview: Quarter 3 WEEK 20-22 22-24 25- 28 Concepts 8-1 Apply Exponent Properties Involving Products 8-2 Apply Exponent Properties Involving Quotients 8-3 Define and Use Zero and Negative Exponents 8-4 Use Scientific Notation 8-5 Write and Graph Exponential Growth Functions 8-6 Write and Graph Exponential Decay Functions Geometric Sequences Assessment 9-1 Add and Subtract Polynomials 9-2 Multiply polynomials 9-3 Find Special Products of Polynomials 9-4 Solve Polynomial Equations in Factored Form 9-5 Factor x2 + bx + c 9-6 Factor ax2 + bx + c 9-7 Factor Special Products 9-8 Factor Polynomials Completely Assessment 10-1 Graph y = ax2 + c 10-2 Graph y = ax2 + bx + c 10-3 Solve Quadratic Equations by Graphing 10-4 Use Square Roots to Solve Quadratic Equations 10-5 Solve Quadratic Equations by Completing the Square 10-6 Solve Quadratic Equations by the Quadratic Formula 10-7 Interpret the Discriminant 10-8 Compare Linear, Exponential, and Quadratic Models Assessment Date Completed / Notes 11 Days 14 Days 16 Days 7 Course Overview: Quarter 4 WEEK 29 -30 31-32 Concepts 11-1 Graph Square Root Functions 11-2 Simplify Radical Expressions 11-3 Solve Radical Equations 11-4 Apply the Pythagorean Theorem and its Converse 11-5 Apply the Distance and Midpoint Formulas Assessment Standards Review and Practice FCAT Week Date Completed / Notes 11 Days 9-10 Days 16 Days 32-35 12-1 Model Inverse Variation 12-2 Graph Rational Functions 12-3 Divide Polynomials 12-4 Simplify Rational Expressions 12-5 Multiply and Divide Rational Expressions 12-6 Add and Subtract Rational Expressions 12-7 Solve Rational Expressions Assessment End of Course Exam (May 16) Projects Exam Week – Other Subject Areas 15 Days 36-39 8 Algebra 1 Honors – High School Course Number: 1200320 Materials: Holt McDougal Larson Algebra 1 Chapter 1: Expressions, Equations, and Functions Week 1 Days Topic 1 Introduction/ Prerequisite Skills 1 Evaluate Expressions 1 1 1 Apply Order of Operations Text Section Benchmarks Vocabulary Extensions/Resources DW Test Item #s Scavenger Hunt Pg. xix 1-1 MA.912.A.1.1 MA.912.A.1.4 1-2 MA.912.A.1.4 Write Expressions 1-3 MA.912.A.1.5 Write Equations and Inequalities 1-4 Variable, Algebraic Expression, Power, Base, Exponent, Order of Operations Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources Understanding Math, under Whole Numbers and Integers, Order of Operations Springboard (SB) 1.1 Verbal Model, Rate, Unit Rate Go to the textbook website: http://www.thinkcentral.com/index.htm Under Videos and Activities, Animated Math 1-3 SB 1.1 MA.912.A.10.1 Equation, Inequality, Open Sentence, Solution of an Equation, Solution of an Inequality Go to the textbook website: http://www.thinkcentral.com/index.htm Under Videos and Activities, Animated Math 1-4 SB 1.4, 1.5 Study Island – Lesson 2g 5537,61550,61554,61557,615 56 16091,1182,1759,1777,1764,2 046,2198,2259,16092,61548,7 9905,79903 716,1775,14346,16094,16100, 20242,61530,61532,61533,61 538,79936 1055,3995,14304,14400,1618 9,1876,1877,1879,1881,1882, 1893,1909,5584,17816,12094, 11304 9 Week 2 Days 1 1 1 Topic Use a Problem Solving Plan Text Benchmarks Section 1-5 MA.912.A.10.1 Represent Functions as Rules and Tables 1-6 Represent Functions as Graphs 1-7 2 Chapter 1 Review and Assessment MA.912.A.2.3, MA.912.A.2.4, MA.912.A.2.13 MA.912.A.2.3, MA.912.A.2.4 Vocabulary Formula Function, Domain, Range, Independent Variable, Dependent Variable Function, Domain, Range Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources SB 2.1, 2.2 Lab 1.6 Tables & Scatterplots on Ti-84+ pg.41-42 Use teacher tools transparencies, available on the textbook website. SB 2.1, 2.2 Activity pg. 49-50 in class – determine if a relation is a function. Study Island – Lesson 2b Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc DW Test Item #s 1762,1865,2028,2048,2072,2 073,2080,2254,2265,2288,22 90,2293,2305,2116,11145,11 231,11237,11244,14282,144 34,79945,103618,103624 1854,16124,1850,2127,1613 4, 104615 1849,8017,14368,133710,96 590,80437,80438,16235,143 85,1850,16284,16132 10 Week 3 Text Section 2-1 Benchmarks Vocabulary MA.912.D.7.2 Whole Numbers, Integers, Rational Numbers, Opposites, Absolute Value, Conditional Statement Understanding Math, Under Whole Numbers and Integers SB 1.7 16104,61643,20311 Add Real Numbers 2-2 MA.912.A.3.2 Additive Identity, Additive Inverse 1807,61578,61581,61587 Subtract Real Numbers 2-3 Multiply Real Numbers 2-4 Use integer chips to demonstrate addition of integers. SB 1.3 Understanding Math, Under Whole Numbers and Integers SB 1.3 Understanding Math, Under Whole Numbers and Integers. Days Topic 1 Use Integers and Rational Numbers 1 1 1 Opposites MA.912.A.1.4 MA.912.A.3.2 Multiplicative Identity Extensions/Resources Use animated algebra (Skydiver in Free Fall), available on the textbook website. SB 1.3 DW Test Item #s 1807,16097,32602,61594,61 595,61596,61597 1048,1779,1782,1995,2018, 2201,5560,16103,17783,178 13,22588,61589,61599,6160 3,61604,2187,2189,61546,6 1613,1858,22481,61617 11 Week 4 Days 1 1 1 2 Topic Text Section 2-5 Apply The Distributive Property MA.912.A.3.2 Divide Real Numbers 2-6 Find Square Roots and Compare Real Numbers 2-7 Chapter 2 Review and Assessment Benchmarks MA.912.A.1.4 MA.912.A.1.1M A.912.A.1.2 Vocabulary Extensions/Resources Equivalent Expressions, Distributive Property, Term, Coefficient, Constant Term, Like Terms Multiplicative Inverse, Reciprocal, Mean Use animated algebra (Skydiver in Free Fall), available on the textbook website. SB 1.3 Square Root, Radicand, Perfect Square, Irrational Number, Real Numbers Understanding Math, under Understanding Exponents, Square Roots. SB 1.2 DW Test Item #s 35099,726,104282,13467,18 57,13456,16098,16167,1623 7,20251 Study Island – Lesson 2d Algebra 1 Best Practices Toolkit SB 1.3 Extension – Cube Roots pg. 117-118 Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Study Island – Lesson 2d Post-Test Union & Intersection pgs. 73-75 Study Island – Lesson 3a Utilize Previous Adoption Book (McDougal Littel) to supplement if available/needed. 2259,1858,2187,2189,2248, 61546,61608,61613,61617,1 999 708,1782,1792,1796,61558, 61560,13219,622,5591, 12 Week 5 Days 1 1 Topic Solve One-Step Equations Solve Two-Step Equations Text Section 3-1 3-2 Benchmarks MA.912.A.3.1 MA.912.A.3.2 MA.912.A.3.1 Vocabulary Extensions/Resources DW Test Item #s Inverse Operations, Equivalent Equations, Reciprocal Use Balance Scale to illustrate solving one-step equations. SB 1.4 16105,3824,3953,19739 Like Terms, Input, Output Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources 5539,16106,16107 MA.912.A.3.1, SB 1.4, 1.5 2 Solve Multi-Step Equations 3-3 MA.912.A.3.5 Like Terms, Distributive Property, Reciprocal SB 1.4, 1.5 Study Island – Lesson 2c 5586,20313,17555 13 Week 6 Days 1 Topic Text Section Solve Equations with Variables on Both Sides 3-4 Write Ratios and Proportions Benchmarks MA.912.A.3.1 MA.912.A.3.5 1 On the textbook website, IDEA Works! 3-5 MA.912.A.3.1, MA.912.A.5.4 Ratio, Proportion, Simplest Form Understanding Math, under Understanding Percent, Ratios and Proportions. 3-6 MA.912.A.3.1 MA.912.A.5.4 Cross Product, Scale Drawing, Scale Model, Scale Percent, Proportion Understanding Math, under Understanding Percent, Ratios and Proportions. Solve Percent Problems 2 Identity Extensions/Resources DW Test Item #s 1050,1067,2052,5566,1610, 1969 SB 1.5 1 Solve Proportions Using Cross Products Vocabulary MA.912.A.3.1 Understanding Math, under Understanding Percent, Problems Involving Percent. 3-7 Include: Percent Change Lesson on pg. 185 2117,2120,2045,14279,2007 1,20072,20449,33345,33346 ,82506,82510,2307,5705,57 13 *see above 3.5 8707,11614,35124 14 Week 7 Days 1 2 Text Section Rewrite Equations 3-8 and Formulas Topic Benchmarks Vocabulary Extensions/Resources DW Test Item #s MA.912.A.3.3 Literal Equation, Formula Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources Study Island – Lesson 2e Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc 1237,1816,1821,1826,1829, 1830,1831,5567,7983 Chapter 3 Review and Assessment 1 Plot Points in a Coordinate Plane 4-1 MA.912.A.2.3, MA.912.A.2.4 Quadrants, Coordinate Plane, Ordered Pair 1 Graph Linear Equations 4-2 MA.912.A.2.4, MA.912.A.3.8 Quadrants, Coordinate Plane, Ordered Pair Supplement Word Problems from Previous Adoption: Uniform Motion, Consecutive Integers, Perimeter etc. Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources SB 2.1 Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources SB 2.1 Include: Discrete & Continuous Functions pg. 227228. Study Island – Lesson 2i 5581,1836,1844,14401,8062 9,80626 80628, 131965 15 Week 8 Days 1 2 2 Topic Graph Using Intercepts Find Slope and Rate of Change Graph Using Slope-Intercept Form Text Section Benchmarks 4-3 MA.912.A.3.8, MA.912.A.3.9 4-4 4-5 MA.912.A.3.9, MA.912.G.1.4 MA.912.A.3.7, MA.912.A.3.8 Vocabulary x-intercept, yintercept Slope, Rate of Change Slope-Intercept Form, Parallel Extensions/Resources Use Geoboards with x and y axis to explore graphing intercepts. SB 2.7 Make foldables to keep concepts involving slope organized. SB 2.3 Use graphing calculators to explore graphing using slope-intercept form. Have students graph by hand after discussing explorations. DW Test Item #s 1908,96510 1889,5569,16136,17815,203 31,35070,82539 SB 2.6 Week 9 Days Topic 1 Model Direct Variation 2 Graph Linear Functions Text Section 4-6 4-7 Benchmarks Vocabulary MA.912.A.3.12 MA.912.A.2.12 Direct Variation, Constant of Variation Function Notation, Family of Functions, Parent Linear Function MA.912.A.2.3 MA.912.A.3.12 Extensions/Resources Demonstrate how the constant of variation changes the graph on the graphing calculators. Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources SB 2.7 DW Test Item #s 16135 16 Week 10 Days 2 1 1 Topic Write Linear Equations in Slope-Intercept Form Use Linear Equations in Slope-Intercept Form Write Linear Equations in Point-Slope Form Text Section 5-1 Benchmarks MA.912.A.3.10, MA.912.G.1.4 5-2 MA.912.A.3.10 Vocabulary y-intercept, Slope, SlopeIntercept Form y-intercept, Slope, SlopeIntercept Form Extensions/Resources Modeling Linear Relationships activity on page 288. DW Test Item #s 5583,96513,134214,1892,19 10 SB 2.4, 2.6 Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources 5-3 MA.912.A.3.8, MA.912.A.3.10 Point-Slope Form SB 2.6, 2.8 Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator Animated Algebra Video Tutor Countdown Pre-AP Resources 1908 17 Week 11 Days 2 2 1 Topic Write Linear Equations in Standard Form Text Section 5-4 Benchmarks Vocabulary Standard Form MA.912.A.3.7, MA.912.A.3.10 Write Equations of Parallel and Perpendicular Lines 5-5 Fit a Line to Data 5-6 MA.912.A.3.10 MA.912.A.3.11 Converse, Perpendicular Lines, Conditional Statement Scatter Plot, Correlation, Line of Fit Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Teacher Tools Transparencies 5-4. SB 3.2 Extension: Arithmetic Sequences pgs.315-316 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: Slopes of Perpendicular and Parallel Lines. SB 3.4 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: The Correlation of x and y. SB 2.8 DW Test Item #s 96601,96511,132513,13395 5 1913,1921,1924,1930,2203, 5570,5582 141322,35095,19743,35089 18 Week 12 and 13 Days Topic Predict with Linear Models Text Section 5-7 Benchmarks MA.912.A.3.11 1 2 1 Best-Fitting Line, Linear Regression, Interpolation Extrapolation, Zero of a Function. Chapter 5 Review and Assessment Solve Inequalities using Addition and Subtraction 6-1 MA.912.A.3.4 Solve Inequalities using Multiplication and Division 6-2 MA.912.A.3.4 Solve Multi-Step Inequalities 6-3 MA.912.A.3.4 MA.912.A.3.5 2 2 Vocabulary Graph of an Inequality, Equivalent Inequalities, Inequality, Solution of an Inequality Solve Inequalities Using Multiplication and Division Inequality Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Teacher Resources, Alternate Opener 5-7. SB 2.8 Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Study Island – Lesson 2h Understanding Math, under Understanding Equations, Solving Inequalities. SB 1.6 Study Island – Lesson 2f Understanding Math, under Understanding Equations, Solving Inequalities. SB 1.6 Understanding Math, under Understanding Equations, Solving Inequalities. SB 1.6 DW Test Item #s 82540 1064,127592,16113,16164, 96639,131381,131419,1339 98 96640,134199,20518,14429 1257593,127594,20257,203 17,96641,131427,134001,8 0990,14398 19 Week 14 and 15 Days Topic Solve Compound Inequalities Text Section 6-4 Benchmark Vocabulary 6-5 Compound Inequality Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Algebra, Sound Amplification or Compound Inequalities, 6-4. SB 1.6 80611,1896,5585,16115,165 63,20259,20319, MA.912.A.3.6 Absolute Value Equation, Absolute Deviation, Absolute Value Understanding Math, Under Understanding Equations, Solving Absolute Value Equations. SB 1.7 5565 Absolute Value, Equivalent Inequalities, Compound Inequality, Absolute Deviation, Mean Linear Inequality in two Variables, Graph of an Inequality in two Variables Go to the textbook website: http://www.thinkcentral.com/index.htm Teacher Tools Transparencies, 6-6. SB 1.7 35166, 80603 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Algebra: Graphing Linear Inequalities in Two Variables. 20523,80635,80622,134014, 134023,134222 2 Solve Absolute Value Inequalities 6-6 MA.912.A.3.6 Graph Linear Inequalities in Two Variables 6-7 MA.912.A.3.12 2 1 DW Test Item #s MA.912.A.3.4, MA.912.A.3.5 2 Solve Absolute Value Equations Extensions/Resources Lab on Absolute Value Functions on page 405. SB 3.3 Study Island – Lesson 2k 20 Week 16 Days 2 Topic Chapter 6 Review and Assessment Solve Linear Systems by Graphing Text Section 7-1 Benchmarks MA.912.A.3.13, MA.912.A.3.14 1 Extensions/Resources DW Test Item #s Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Go to the textbook website: http://www.thinkcentral.com/index.htm Activity Generator: Solving Linear Systems Using Tables. SB 3.5 Study Island – Lesson 2l 80647,80637,81078,81079,1 31463,11284,16343,35323 Vocabulary System of Linear Equations, Solution of a System of Linear Equations, Consistent Independent System Week 17 Days 1 1 2 Topic Solve Linear Systems by Substitution Solve Linear Systems by Adding and Subtracting Solve Linear Systems by Multiplying First Text Benchmarks Section 7-2 MA.912.A.3.14, MA.912.A.3.15 7-3 7-4 Vocabulary Extensions/Resources System of Linear Equations On page 446, Exploring Algebra Activity. SB 3.6 MA.912.A.3.14M A.912.A.3.15 System of Linear Equations MA.912.A.3.14 Least Common Multiple Go to the textbook website: http://www.thinkcentral.com/index.htm eWorkbook, 7-3. SB 3.6 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: Mixture Problems. On page 470, Problem Solving Connections. SB 3.6 DW Test Item #s 1914,1917,2297,16220,1617 3,127613,127614,20273 1170,2300,96653,131441 1923,1928,20275 21 Week 17-18 Days Topic Solve Special Types of Linear Systems Text Section 7-5 Benchmark Vocabulary MA.912.A.3.14M A.912.A.3.15 Inconsistent System, Consistent Dependent System, System of Linear Equations, Parallel System of Linear Inequalities, Solution of a System of Linear Inequalities, Graph of a System of Linear Inequalities 1 Solve Systems of Linear Inequalities 7-6 MA.912.A.3.13M A.912.A.3.15 1 2 Chapter 7 Review and Assessment Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Additional Practice: Chapter Project. SB 3.6 Pg. 485, Graphing Calculator Activity. SB 3.7 DW Test Item #s 20272,1926,7162,127615 16285,19045,20452,35321,9 6669,8357,80647,127617 Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Week 18-19 Days 5 Topic Mid-Term Prep and Exams Text Section Benchmark Vocabulary Extensions/Resources DW Test Item #s 22 Week 20 Days Topic 1 Apply Exponent Properties Involving Products 2 Apply Exponent Properties Involving Quotients Text Section 8-1 MA.912.A.4.1 Order of Understanding Math, under Understanding Magnitude, Exponents, Exponent Rules. Power, Exponent, SB 4.1 Base 1165,1182,1934,1935,1937, 2009,2165,2172,96671,1042 97,131694,127618,131700,7 9906 8-2 MA.912.A.4.1 Power, Exponent, Understanding Math, under Understanding Base Exponents, Exponent Rules. SB 4.1 96384,96385,96672,96675,9 6677,104301,131697,13170 1,131706,1943 Benchmarks Vocabulary Extensions/Resources DW Test Item #s Week 21 Days 2 1 2 Topic Define and Use Zero and Negative Exponents Use Scientific Notation Write and Graph Exponential Growth Functions Text Section 8-3 Benchmarks Vocabulary Extensions/Resources DW Test Item #s MA.912.A.4.1 Reciprocal On Pg. 518, Exploring Algebra Activity. SB 4.1 16702,20281,20287,34952,9 6389,96678 8-4 MA.912.A.1.1, MA.912.A.1.4 Scientific Notation On Pg. 535, Graphing Calculator Activity. SB 4.1 94480,5699,13244,14348,14 395,19012,22489,34941,351 61,96387 8-5 MA.912.A.2.3, MA.912.A.2.13 Exponential Function, Exponential Growth, Compound Interest Go to the textbook website: http://www.thinkcentral.com/index.htmAnimate d Math: Write and Graph Exponential Growth Functions. SB 4.2 164365 23 Days Topic 1 Write and Graph Exponential Decay Functions Text Section 8-6 Benchmark MA.912.A.2.3, MA.912.A.2.13 Week 22-23 Vocabulary Exponential Decay Extensions/Resources DW Test Item #s Pg. 546, Exploring Algebra Activity. SB 4.2 Extension: Geometric Sequences pgs.555-556 2 Chapter 8 Review and Assessment Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc 1 Add and Subtract Polynomials 9-1 MA.912.A.4.2 Monomial, Degree, Polynomial, Leading Coefficient, Binomial, Trinomial On Pg. 578, Graphing Calculator Activity. SB 4.4 Study Island – Lesson 2o 1046,1051,1177,1178,1179, 1960,1962,1964,17744,6163 1,79933,96673 1 Multiply Polynomials 9-2 MA.912.A.4.2 Polynomial, Binomial On Pg. 579, Exploring Algebra Activity. SB 4.5 1057,1966,1968,14353,1439 2,14399,18988,18994,22482 ,34715,1181,14352,14392,2 0299,16157 Week 23 Days 1 Topic Find Special Products of Polynomials Text Section 9-3 Benchmarks Vocabulary MA.912.A.4.2 Binomial, Trinomial Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Under Tools, use on-line Algebra tiles to demonstrate. SB 4.5 DW Test Item #s 1183,1972,1976 24 2 2 Solve Polynomial Equations in Factored Form 9-4 Factor x2 + bx + c 9-5 MA.912.A.1.8, MA.912.A.4.3 Roots, Vertical Motion Model MA.912.A.4.3, MA.912.A.7.2 Zero of a Function Go to the textbook website: http://www.thinkcentral.com/index.htm Video Tutor, Solve Polynomial Equations in Factored Form. SB 4.6 On Pg. 600, Exploring Algebra Activity. SB 4.6 1184,1185,2132,16191 2079,2081,2233,2084,2086, 20360 Week 24 Days Topic 2 ax2 + bx + c 1 Factor Special Products 2 Factor Polynomials Completely 2 Chapter 9 Review and Assessment Text Section 9-6 Benchmarks Vocabulary MA.912.A.4.3, MA.912.A.7.2 Trinomial 9-7 MA.912.A.4.3 MA.912.A.7.2 Perfect Square Trinomial 9-8 MA.912.A.4.3 MA.912.A.7.2 Factor by Grouping, Factor Completely Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: Modeling the Factorization of ax2 + bx + c. SB 4.7 Go to the textbook website: http://www.thinkcentral.com/index.htm eWorkbook, 9-7. SB 4.6 Go to the textbook website: http://www.thinkcentral.com/index.htm Video Tutor with Practice 9-8. SB 4.6 Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Additional Word Problems from Chapter 4 of previous adoption (McDougal Littel). DW Test Item #s 2013,16192 96699,104305,127623 104303,16233 25 Week 25 Days Topic 2 Graph y = ax2 + c 2 Graph y = ax2 + bx + c Text Section 10-1 10-2 Benchmarks Vocabulary MA.912.A.7.1 MA.912.A.7.6 Quadratic Function, Parabola, Parent Quadratic Function, Vertex, Axis of Symmetry Minimum Value, Maximum Value MA.912.A.7.1, MA.912.A.7.6 Extensions/Resources DW Test Item #s Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: A Falling Object Model. SB 5.2 16133,35317,81199 On Pg. 655, Exploring Algebra Activity. SB 5.3 Study Island – Lesson 2r 2137,2140,127645,80664,81 200,81202,81203,81204,820 7,17817,81208,81209,16261 , 96689,127639 Week 26 Days 2 1 2 Topic Solve Quadratic Equations by Graphing Text Section 10-3 Use Square Roots to Solve Quadratic Equations 10-4 Solve Quadratic Equations by Completing the Square 10-5 Benchmarks Vocabulary Extensions/Resources DW Test Item #s On Pg. 672, Graphing Calculator Activity. SB 5.3 1184,1185,2132,16191 MA.912.A.7.6, MA.912.A.7.10 Quadratic Equation, x-intercept, Zero of a Function, Roots MA.912.A.7.8 Square Root, Perfect Square 2011,16187,81251,81254,81 255 MA.912.A.7.2, MA.912.A.7.8 Completing the Square, Perfect Square Trinomial Go to the textbook website: http://www.thinkcentral.com/index.htm Under Teacher Resources, Problem Solving Workshop: Mixed Problem Solving. SB 5.4 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Math: Modeling Completing the Square. SB 5.4 26 2 Compare Linear, Exponential, and Quadratic Models 10-8 MA.912.A.2.3 MA.912.A.2.13 Linear Function, Exponential Function, Quadratic Function On Pg. 714, Graphing Calculator Activity. 14368, 35082 Graphing Quadratic Functions in Vertex Form pg. 691-692. Week 27 Days 2 Topic Solve Quadratic Equations by the Quadratic Formula 1 Interpret the Discriminant Text Section 10-6 Benchmarks Vocabulary Extensions/Resources Quadratic Formula MA.912.A.7.2 10-7 MA.912.A.7.8 Text Section Benchmark Discriminant Understanding Math, under Understanding Graphing, Quadratic Functions. To use for illustration. SB 5.4 Go to the textbook website: http://www.thinkcentral.com/index.htm Video Tutor: 10-7. SB 5.4 Emphasize this concept as a tool to verify results. DW Test Item #s 2110,1174,81252,81253 1175,1176,1997 Week 28 Days Topic 2 Chapter 10 Review and Assessment Vocabulary Extensions/Resources Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Suggest – Students begin creating study guide for EOC. Study Island – Lesson 2s DW Test Item #s 27 Days Topic 2 Graph Square Root Functions 2 Simplify Radical Expressions Days Topic 2 Solve Radical Equations Apply the Pythagorean Theorem and Its Converse Apply the Distance and Midpoint Formulas Chapter 11 Review and Assessment 2 1 2 2 Flex Days Text Section 11-1 Benchmark MA.912.A.2.4 11-2 MA.912.A.6.1 MA.912.A.6.2 Text Section 11-3 Benchmark MA.912.A.6.5 11-4 MA.912.G.5.1 11-5 MA.912.G.1.1 Weeks 28-29 Vocabulary Radical Expression, Radical Function, Square Root Function, Parent Square Root Function Simplest Form of a Radical Expression, Rationalizing the Denominator DW Test Item #s Go to the textbook website: http://www.thinkcentral.com/index.htm Under Videos and Activities, use the graphing calculator in the tool box to demonstrate. SB 4.3 Go to the textbook website: http://www.thinkcentral.com/index.htm Animated Algebra: Simplifying Radicals. SB 4.3 Study Island – Lesson 2q Weeks 29-30 Vocabulary Radical Expression, Extraneous Solution Hypotenuse, Legs of a Right Triangle, Pythagorean Theorem Distance Formula, Midpoint, Midpoint Formula Extensions/Resources Extensions/Resources 16190,2097,2098,1172,2097 ,2224 DW Test Item #s On Pg. 759, Problem Solving Connections. 2107, 7267 Understanding Math, under Understanding Exponents, Pythagorean Theorem. 2095, 22474 On Pg. 767, Exploring Algebra Activity. 1936,16693,1149,1772,2238 ,2277,6093,7113 Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Students continue working on EOC Study Guide 28 Days Topic Text Section Benchmark 5 Standards Review and Practice FCAT 2.0 for 8th Grade Students 4 FCAT WEEK FCAT 2.0 for 8th Grade Students Days Topic 2 Model Inverse Variation 2 Graph Rational Functions Benchmark Weeks 31-32 Vocabulary Extensions/Resources DW Test Item #s Students continue working on EOC Study Guide Week 32-33 Vocabulary Text Section 12-1 Extensions/Resources MA.912.A.2.4 Inverse Variation, Constant of Variation, Hyperbola, Branches of a Hyperbola, Asymptotes of a Hyperbola Go to the textbook website: http://www.thinkcentral.com/index.ht m Animated Math: Direct and Inverse Variation. 12-2 MA.912.A.2.3 Rational Function, Hyperbola, Branches of a Hyperbola, Asymptotes of a Hyperbola Go to the textbook website: http://www.thinkcentral.com/index.ht m Video Tutor with Practice: 12-2. DW Test Item #s 29 Days Topic 2 Divide Polynomials 2 Simplify Rational Expressions Text Section 12-3 MA.912.A.4.4 12-4 MA.912.A.5.1 12-5 2 Multiply and Divide Rational Expressions Benchmark MA.912.A.5.2 Weeks 33-34 Vocabulary Monomial, Polynomial, Binomial, Rational Function Rational Expression, Excluded Value, Simplest Form of a Rational Expression Multiplicative Inverse, Polynomial, Rational Expression Extensions/Resources DW Test Item #s On Pg. 818, Graphing Calculator Activity. 16186, 1054 Go to the textbook website: http://www.thinkcentral.com/index.ht m eWorkbook 12-4. SB 4.8 1990 Study Island – Lesson 2p On Pg. 838, Focus on Operations SB 4.8 30 Days Topic 2 Add and Subtract Rational Expressions 2 Solve Rational Equations 2 Chapter 12 Review and Assessment Text Section 12-6 12-7 Benchmark Week 35 Vocabulary MA.912.A.5.2 Least Common Denominator of Rational Expressions MA.912.A.5.5 MA.912.A.5.7 Rational Equation, Cross Product, Extraneous Solution, Least Common Denominator of Rational Expressions Extensions/Resources Go to the textbook website: http://www.thinkcentral.com/index.ht m Animated Math: Add and Subtract Rational Expressions SB 4.8 On Pg. 855, Problem-Solving Workshop. Post-Test Performance Assessment as Take Home Project- See Teacher-One Stop Disc Students continue working on EOC Study Guide DW Test Item #s 31 Days Topic 5 1 EOC Prep End of Course Exam (May 16) Project **See resources at the end of the pacing guide 5+ Text Section Benchmark Week 36 through the end Vocabulary Extensions/Resources DW Test Item #s 5/215/25? In addition to a project or projects, teachers are encouraged to review areas that students found particularly challenging, as well as topics which will help them succeed in geometry (proportional reasoning, analytic geometry, etc.), leading to a Culminating Test during final exam time. There will be no CCPS District Final Exam. **For the end of course project, please use a project of your choosing, either from your own library, the CCPS Gifted Website, or from the resources listed below. This should be designed to allow students the opportunity to create and collaborate. Student-teacher, student-student and student-resource interaction is encouraged, for the purpose of developing higher order thinking skills. Project and Webquests Algebra websites: http://www.thefutureschannel.com/algebra_real_world.php www.education.ti.com www.mathnspired.com http://www.education.com/ http://www.pbs.org/teachers http://bestwebquests.com/ http://kathyschrock.net/webquests/COLARUSSO/NEWCAR.HTML http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_05/webquest/index.php4/na http://mathbits.com/MathBits/MathMovies/MathMovies.htm http://www.mathprojects.com/ 32 Higher-Order Thinking Questions by Lesson: Chapter 1 1-1 Evaluating Expressions Can you describe the steps needed to simplify an algebraic expression? 1-2 Applying Order of Operations Why do the Order of Operations exist? 1-3 Writing Expressions What clues are given in verbal descriptions that enable you to develop an algebraic expression? 1-4 Writing Equations and Inequalities How do equations and inequalities differ from algebraic expressions? 1-5 Use a Problem Solving Plan What step would you add to the problem solving plan on page 28 that would assist you in solving word problems or verifying your responses? 1-6 Represent Functions as Rules and Tables How do you determine if a relation is function? 1-7 Represent Functions as Graphs Can you specify the purpose behind the four different methods to represent a function? i.e. verbally, graphically, in a table, or an equation Chapter 2 2-1 Use Integers and Rational Numbers Can you describe the attributes of the numbers in the Real Number System? 2-2 Add Real Numbers How can you tell if two numbers when added will result in an answer of zero? 2-3 Subtract Real Numbers How do you determine if the result of subtracting two numbers will be negative? 2-4 Multiply Real Numbers How is the commutative property different from the associative property? 2-5 Apply the Distributive Property Why is the distributive property sometimes needed to simplify some expressions i.e. why not use the order of operations? Support your response with examples. 2-6 Divide Real Numbers What is the difference between a response of zero and one that is undefined when dividing two numbers? 2-7 Find Square Roots and Compare Real Numbers How do you tell if a square root will result in a rational or irrational number without calculating? Chapter 3 3-1 Solve One-Step Equations How are the properties involving equality used to solve one-step equations? 33 3-2 Solve Two-Step Equations Why is it efficient to solve two-step equations inversely in reverse order? 3-3 Solve Multi-Step Equations What benefit are there to multiplying an equation by a reciprocal first to solve an equation? 3-4 Solve Equations with Variables on Both Sides What is the difference between the response of “no solution” and “identity”? 3-5 Writing Ratios and Proportions What methods can be used to check if two ratios form a proportion? 3-6 Solving Proportions Using Cross Products How are cross products used to simplify a proportion to an equation? 3-7 Solving Percent Problems How many methods can you describe to find the percent of a number? Is one method more efficient than the other? Why do we transform equations? Chapter 4 4-1 Plotting Points in a Coordinate Plane How are the coordinate plane and a world map similar? 4-2 Graphing Linear Equations How do the equations of vertical and horizontal lines differ? Why? What is the difference between a discrete and continuous function? 4-3 Graphing Using Intercepts Many real world situations can be modeled by linear equations, what benefits are there to graphing these equations using the intercepts? Can a graph of a liner function have more than one x or y intercept? 4-4 Find Slope and Rate of Change What can you conclude if the slope of a line is zero? Undefined? Positive? Negative? Is the slope of a linear function always constant? Why? 4-5 Graph Using Slope-Intercept Form Why is using the slope-intercept form of a linear equation an efficient method for graphing the function? How can you tell if two non-vertical lines are parallel? How can you tell if two non-vertical lines are parallel? 4-6 Model Direct Variation When looking at the graph of a linear function, how can you tell if it is a direct variation? What is the relationship between slope and the constant of variation? 4-7 Graph Linear Functions What is function notation? The domain of a function consists of the values of x for which the function is __________ . (defined) 34 Chapter 5 5-1 Write Linear Equations in Slope-Intercept Form What information is required to write an equation in slope-intercept form? If a line passes through the points (5, -7) & (5, 2) is it possible to write an equation for the line is slope-intercept form? 5-2 Use Linear Equations in Slope-Intercept Form How do you decide if three or more points are collinear? How do you write an equation of a line in slope-intercept form given a table of values? A graph? Two ordered pairs? 5-3 Write Linear Equations in Point-Slope Form What is the purpose of different forms of linear equations? How is using the point-slope form to graph an equation similar/different to using slope-intercept form? 5-4 Write Linear Equations in Standard Form What purpose is there to writing a linear equation is standard form? Why can A or B not equal zero in when an equation is written in standard form? What relationship exists between the correlation coefficient and the slops of the line of best fit? What is the value of C for all direct variation equations written in standard form? 5-5 Write Equations of Parallel and Perpendicular Lines How can you tell if two non-vertical lines are parallel? What is the relationship with regards to slope for lines that are perpendicular? What is the relationship with regards to slope for lines that are parallel? Is it possible for two perpendicular lines to share the same y-intercept? If two lines are neither parallel nor perpendicular, what two statements can be made about the slope of the lines? 5-6 Fit Line to Data What is the purpose of a scatterplot? How do you draw a line of best fit (linear regression)? Can you describe the difference between sets of data that show a positive trend, negative trend, and no trend (relatively no correlation)? 5-7 Predict with Linear Models What is a linear extrapolation? What is the zero of a function? Chapter 6 6-1 Solve Inequalities Using Addition and Subtraction How are solving one-step inequalities similar to solving one-step equations? How are they different? How do graph solutions for the different inequality symbols? 6-2 Solve Inequalities Using Multiplication and Division How can one inequality be written two different ways? How do graph solutions for the different inequality symbols? What impact does the negative coefficient have on the solution for the inequality? 6-3 Solve Multi-Step Inequalities 35 Is the process for finding the range of solutions for an inequality similar to solving a multi-step equation? 6-4 Solve Compound Inequalities What is the difference between compound inequalities and singular inequalities? How do the graphs of unions and intersections differ? What real world applications can compound inequalities model? 6-5 Solve Absolute Value Equations How do you solve absolute value equations? Why do you need to rewrite absolute value equations as two equations? What is the purpose of absolute deviation and how do you calculate it? 6-6 Solve Absolute Value Inequalities What is one real world application for absolute value inequalities? What process do you use to solve absolute value inequalities? 6-7 Graph Linear Inequalities in Two Variables What does the boundary line represent? What methods can be used to determine which side of the boundary line contains the solutions for the linear inequality? Chapter 7 7-1 Solve Linear Systems by Graphing How do you determine the solution for a system of equations that have been graphed? Could the solution to a system of equations be found by examining a table of values for each equation in the system? What is an example of an independent system of linear equations written in slope-intercept? What is an example of an dependent system of linear equations written in slope-intercept? What is an example of an inconsistent system of linear equations written in slope-intercept? 7-2 Solve Linear Systems by Substitution Describe the process for solving a system of equations by substitution? Is this method more efficient than graphing the system? Why or Why not? What types of real world situations can you model using systems of equations? 7-3 Solve Linear Systems by Adding and Subtracting How is the substitution method embedded in the elimination method for solving the system of equations? When writing a system of equations for a given situation what impact does current or wind have on the formats of the equations? What types of real world situations can you model using systems of equations? 7-4 Solve Linear Systems by Multiplying First Why is it necessary to multiply one or more of the equations in the system by a constant? How do you determine which method for solving a system is the most efficient? Can you use one method for solving a system to verify your results for another method? What types of real world situations can you model using systems of equations? 7-5 Solve Special Types of Linear Systems Is it possible to have a system of equations with no solution? One solution? Infinite number of solutions? 36 How does the study of slope for each equation in the system lead to a determination of number of solutions for the system? What is the difference between an inconsistent system of equations and a consistent system of equations? 7-6 Solve Systems of Linear Inequalities How do you find the solution region for a system of linear inequalities? Can the solution to a system of equations be listed explicitly? Chapter 8 8-1 Apply Exponent Properties Involving Products Compare and contrast the Product of Powers Property, the Power of a Power of a Power Property and the Power of a Product Property. What is the purpose of the order of magnitude? What is it based on? 8-2 Apply Exponent Properties Involving Quotients Compare and contrast the Quotient of Powers Property and the Powers of a Quotient Property. 8-3 Define and Use Zero and Negative Exponents Can zero raised to a negative exponent be defined? Is changing the position of a number with a negative exponent the same as writing the expression as a reciprocal? Why or why not? 8-4 Use Scientific Notation What base number is scientific notation based on? Why was this notation developed? How do the exponent rules impact calculations involving scientific notation? 8-5 Write and Graph Exponential Growth Functions How do the range values differ between linear functions and exponential growth function? How does the exponential growth model compare with the compound interest formula? 8-6 Write and Graph Exponential Decay Functions How do the range values differ when examining exponential growth versus exponential decay? How do you calculate depreciation? Chapter 9 9-1 Add and Subtract Polynomials What role does like terms play; if any, as you add and subtract polynomials? What criteria dictate if an expression is a polynomial? 9-2 Multiply polynomials What methods can you use to multiply polynomials? When is it appropriate to use one method over another? 9-3 Find Special Products of Polynomials What happens to the middle terms when you find the product using the sum and difference pattern? What happens to the middle term when you find the square a binomial? How does recognizing patterns encourage efficiency when multiplying certain binomials? 9-4 Solve Polynomial Equations in Factored Form What is the zero product property? How is it used to solve polynomial equations? 37 What are roots? How is the vertical motion model used to solve problems? What elements impacting motion does it ignore? 9-5 Factor x2 + bx + c What do b and c represent in x2 + bx + c? How do the signs of b and c affect the binomial factors? 9-6 Factor ax2 + bx + c What do a, b, and c represent in ax2 + bx + ? How do the signs of a,b, & c affect the binomial factors? Why should you factor negative one from a polynomial expression if a is negative? 9-7 Factor Special Products How does recognizing patterns from multiplication of binomials assist you in factoring special products? If working with a polynomial that has fractional coefficients what process will assist you in factoring the polynomial? 9-8 Factor Polynomials Completely How does the distributive property used to factor by grouping? What are the steps to factoring a polynomial completely? Chapter 10 10-1 Graph y = ax2 + c How do you determine whether a parabola has a minimum or maximum point? What impact does the coefficient of x2 have on the direction of the parabola? Describe the process for graphing a parabola of the form y = ax2 + c. How do changes in the value of c impact the location of the parabola on the y-axis? 10-2 Graph y = ax2 + bx + c How do changes in the value of b impact the location of the parabola on the coordinate plane? What purpose does finding the axis of symmetry serve? What impact does the absolute value of a have on the width of the parabola? 10-3 Solve Quadratic Equations by Graphing How do you find the roots of a quadratic equation by graphing? How would you describe the solution if the graph doesn’t intersect the x-axis? How many solutions are possible to find for a quadratic equation? 10-4 Use Square Roots to Solve Quadratic Equations How does the value of d in x2 = d alter the number of solutions for the quadratic equation? When is it most efficient to use the square root method for solving a quadratic equation? 10-5 Solve Quadratic Equations by Completing the Square Describe the process for solving equations by completing the square. When is it most efficient to use the completing the square method for solving a quadratic equation? What role does factoring play in the completing the square method? 10-6 Solve Quadratic Equations by the Quadratic Formula What role does the order of operations play in using the quadratic formula to solve equations? 38 Consider the five methods you have learned to solve quadratic equations, how do you know when to use which method? 10-7 Interpret the Discriminant The discriminant provides what vital information about a quadratic equation? How can know the discriminant assist you in verifying you have solved an equation correctly? 10-8 Compare Linear, Exponential, and Quadratic Models What methods can you use to discern whether a list of ordered pairs represents a linear, quadratic, or exponential function? Chapter 11 11-1 Graph Square Root Functions How do determine if a square root function is a stretch, shrink and/or a reflection as compared to the parent function? 11-2 Simplify Radical Expressions What process do you use to simply expression involving radicals? Why does rationalizing the denominator not alter the value of the expression? How are operations with radicals similar to working with rational numbers? Why? 11-3 Solve Radical Equations When arriving at a solution for a radical equation why are some solutions considered extraneous? 11-4 Apply the Pythagorean Theorem and its Converse How can the methods learned to solve quadratic equations be used to find the missing lengths of a right triangle? How do prove whether a triangle is a right triangle? 11-5 Apply the Distance and Midpoint Formulas Is the distance formula a transformation of the Pythagorean Theorem? Support your response. What purpose does the midpoint formula serve? Can you think of a unit of study in math where finding the midpoint of a line segment would be important? Chapter 12 12-1 Model Inverse Variation How do you determine if an equation is an inverse variation, direct variation, or neither? How do changes in the value of the constant of variation impact the location of the graph on the coordinate plane? 12-2 Graph Rational Functions How do you find the domain and range of a rational function? 12-3 Divide Polynomials When do you know to perform long division or write division as a fraction when dividing polynomials? Can you identify the quotient, divisor, dividend, and remainder? What is the appropriate form for stating a response to long division with a remainder? 12-4 Simplify Rational Expressions Why are there excluded values? What role does factoring paly in simplifying rational expressions? 12-5 Multiply and Divide Rational Expressions 39 Can rational expression be evaluated using the same rules as used when working with rational numbers? Why or Why not? 12-6 Add and Subtract Rational Expressions How and why do you identify the least common denominator? 12-7 Solve Rational Expressions Can all rational equations be solved using cross products? Why or Why not? Why do all solutions need to not violate the restrictions on the variable?
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