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McLean County Unit District No. 5 CURRICULUM GUIDE (Sections 1-3) Section 1 – Course Description Book Information Course Title: Algebra 2 Course Description: This course is for anyone needing a third year of math or who plans to take Pre-Calculus, College Algebra, Finite Mathematics, or Probability & Statistics. Emphasis in this class is placed upon expanding the algebraic concepts taught in Algebra, right triangle and circular function trigonometry are introduced. Course Goal / Rationale: Algebra 2 offers an array of algebraic topics that meet required standards and that will provide a strong foundation for future work in mathematics. Grade Level(s): 10, 11, 12 Prerequisite(s): Grade of C or D in Honors Geometry; or Grade of A, B or C in Geometry Course Weight (high school only): Standard Level Credit (high school only): Yearly 1 Credit Duration: 1 year Course Number: 681/682 Section 2 – Curriculum Map for Algebra2 Grading Period CONTENT Knowledge / Skills / Concepts CHAPTERS ONE AND TWO COMBINED ON ONE TEST!! Learning Standards METHODS/RESOURCES Activities / Performances / Products ASSESSMENTS 1 1.1 Expressions and Formulas 8.A.3a p. 8-10 (2-30 even) 1.2 Properties of Real Numbers 8.A.3a p. 15-17 (14-33 all, 36-42 even) 1.3 Solving Equations Quiz 8.D.3a 1.4 Solving Absolute Value Equations 8.D.3b p. 29-30 (10-44 even) 1.5 Solving Inequalities 8.B.4a p. 37-39 ( 10-24 all, 27, 30, 34-44 even ) 1.6 Solving Compound and Absolute Value Inequalities (2 DAYS)**** 8.B.4a - 1 1 1 1 Have each student write (in words) the steps to solving the equation 2x + 3 = 15 p. 23-26 (17-41 odd) 1.1 – 1.3 1 1 1 1 Word problem worksheet integrating cultural diversity Chapter 1 Review (NOW A Review for Quiz) Chapter 1 Test (NOW A Quiz) p.50-52 (1-61 odd) Chapter 1 Test 1 2.1 Relations and Functions p. 45-48 (2-38 even) 8.D.3b 1 2.2 Linear Equations 8.B.3 2.3 Slope 8.B.3 2.4 Writing Linear Equations (2 days)**** 8.B.3 Differentiated Instruction: Have students familiar with musical notation explain how graphing points is similar to writing musical notes on a staff. Have each student write a short explanation of how to determine if an equation is linear. p.62-64 ( 14-42 even, 4345) p.69-70 ( 11-47 odd) 1 1 1 1 1 1 1 1 Have students write how yesterday’s concepts helped in understanding today’s lesson. Quiz 2.1 – 2.4 Review p. 83-84 ( 13-23 odd, 2526, 31-35 odd) Worksheet Quiz 2.5 Scatter Plots and Linear Regression 2 days *** Quiz on Sections 2.1-2.4 2.6 Special Functions 2.6 Day 2 8.B.5 2.7 Graphing Inequalities 8.B.4a - 1 1 p. 74-75 (14-36 even, 39, 43) Chapter 2 Review Now a Test Review Combined Chapter 1 and 2 Chapter 2 Test Now a Test over the sections of Chapter 1 and 2 Standardized Test Practice p.99-101 ( 4-6 , 20-25) p. 894 (6-10 ) Word problem worksheet integrating cultural diversity p. 104-105 (10-21, 29) Worksheet or p.106-110 (1-51 odd) Chapter 2 Test p. 112-113 (1-11) Have each student draw the graph of an example of a consistent and independent system of equations. p. 121 ( 13-24) - 1 3.1 Solving Systems of Equations by Graphing 8.D.3a 3.2 Solving Systems of Equations Algebraically 3.2 Day 2 8.D.3a 3.3 Solving Systems of Inequalities by Graphing 8.D.3a 1 1 p. 127 (1-4, 12-17, 24, 25) p. 127-128 (6-11, 18-28, 30-38 even) 1 Have each student write a list of tips to help someone draw the p. 133 (1-4, 9-16) graphs of systems of inequalities. 1 1 Quiz 3.1 – 3.3 Review Quiz Worksheet Quiz on Sections 3.1-3.3 p. 136 (1-8) 8.D.4 1 3.4 Linear Programming 8.D.4 1 1 1 1 3.5 Solving Systems of Equations in Three Variables 3.5 Day 2 Chapter 3 Review 8.D.3a p. 142 (15-20) Have students compare solving systems in three variables with solving systems in two variables. - p. 149 (6, 9, 10, 12) p. 149 (1-5, 11, 13-16) Worksheet or p. 153-156 (1-31 odd) Chapter 3 Test p. 158-159 (1-11) Worksheet 1 1 Chapter 3 Test Standardized Test Practice Quarter Review INSERT 13 DAYS of PROBABILITY UNIT 2 5.1 Graphing Quadratic Functions 2 5.2 Solving Quadratic Equations by Graphing 8.A.4b, 8.B.4a, 8.B.4b 8.B.4a 2 5.3 Solving Quadratic Equations by Factoring 8.D.4 2 5.3 Day 2 p. 256 (2, 15-30) 2 2 2 2 2 Factoring Overview Quiz 5.1 – 5.3 Review Quiz 5.4 Complex Numbers 5.5 Completing the Square Worksheet Worksheet 2 2 5.5 Day 2 5.6 Quadratic Formula and the Discriminant 2 2 2 2 2 5.7 Analyzing Graphs of Quadratic Functions Vertex Form Review 5.8 Quadratic Inequalities Chapter 5 Test Review Chapter 5 Test Standardized Test Practice 2 2 2 2 2 2 2 6.1 Properties of Exponents 6.2 Operations with Polynomials 6.3 Dividing Polynomials 6.3 Dividing Polynomials Day 2 Quiz Review 6.1 – 6.3 Quiz 6.4 Polynomial Functions 8.C.4a, 8.A.5 2 6.6 Solving Polynomial Equations 2 2 2 2 6.A.5, 8.A.4b 8.D.4 Reading Mathematics p. . 245 Introduce Foldables Study Organizer for Chapter 5 p. 241 (12-20 even) p. 249 (1-11) Worksheet Have students write poems about the imaginary number i. Describe Culture that used the Golden Ratio/Rectangle and for what purpose 8.D.4 p. 264 (22-44) p. 273 (16-21, 24, 25,2831) p. 273 (26, 27, 32-39) p. 281 (15-21) p. 290 (13-15, 27, 28) Worksheet p. 298 (11-16, 19-25) Worksheet Chapter 5 Test p. 308-309 (1-12) 6.B.5, 8.C.4a 8.C.4a 8.C.4a 8.C.4a Introduce Foldables Study Guide for Chapter 6 Multiplying Binomials Long Division Synthetic Division p. 316 (11-26, 30-36 even) p. 323 (15-36, 42-50 even) Worksheet Worksheet Worksheet Quiz 6.1 – 6.3 p. 335 (1-11, 12-32 even) 8.B.4a Factoring Review – GCF, grouping, trinomial diamond Worksheet 6. 6 Day 2 6.6 Day 3 Review 6.6 8.D.4 Factoring Review – Special cases Solving Factoring & Solving Worksheet p. 353 (1-12, 30-35) Worksheet 6.7 Remainder Theorem 8.D.4 p. 359 (10-16 even, 18- 25) 2 2 Quiz Review 6.4 – 6.7 Quiz 2 6.8 Roots and Zeros 2 2 6.9 Rational Zero Theorem Chapter 6 Review 2 2 2 2 Chapter 6 Review Day 2 Chapter 6 Test Standardized Test Practice Quarter 2 Review Quarter 2 Test Scantron 2 2 3 Semester Review Semester 1 Exam 7.1 Operations on Functions Scantron & Short answer Introduce Foldables, Study Organizer 3 7.2 Inverse Functions and Relations 3 7.3 Square Root Function and Inequalities 3 3 Quiz Review 7.1 – 7.3 Quiz 3 7.4 nth Roots 8.D.4 3 3 7.5 Operations and Radical Expressions 7.6 Rational Exponents 8.D.4 8.D.4 3 7.7 Solving Radical Equations and Inequalities Extend 7.7 Solving Radical Equations and Inequalities Chapter 7 Review - Operations with Radicals 8.D.4 3 3 3 Worksheet Quiz 6.4 – 6.7 8.C.4a, 8.D.4 p. 371 (1-5, 10-15) p. 375-378 (11-14, 16-19, 21, 22-28 even, 38-44, 47, 50, 51) Worksheet Chapter 6 Test p. 380-381 1-11 Worksheet 8.D.4 8.B.4b, 8.D.4 p. 405 ( 2-8 even, 16-36 even, 37-45) p. 413 (1-6, 18-35) p. 419 ( 1-8, 10-14, 1731odd, 36-40) p. 425 (11-26, 31-36) Worksheet Chapter 7 Test p. 436-437 (1-7) 8.B.5 3 p. 447-449 ( 16-28, 30, 32) 8.B.5 8.2 Adding and Subtracting Rational Expressions 8.2 Day 2 p. 454-456 (18-31) p. 453 (7-16) 8.B.5 8.3 Graphing Rational Functions 3 3 3 p. 400 (12-17, 24-27) Worksheet 8.1 Multiplying and Dividing Rational Expressions 3 3 Worksheets Common Assessment p. 388 (1,2,5,6,7,9,15,17,29,37,38) p. 395 (10-24, 20-32) Worksheet Quiz on Sections 7.1-7.3 Chapter 7 Review Chapter 7 Test Standardized Test Practice 3 p. 366 (1-4, 11-21 odd) p. 460-463 (1, 2, 13-16, 37, 38, 57-59) p. 460-463 (21, 22, 25-28) Worksheet 8.3 Day 2 Quiz Review 8. 1 – 8.3 Quiz 3 Quiz 8.1-8.3 8.B.5 8.4 Direct, Joint, and Inverse Variation 3 p. 468 (8-13, 25-30) 8.B.5 8.5 Classes of Functions 3 p. 476 (1-5, 10-19, 24-31) 8.B.5 8.6 Solving Rational Equations and Inequalities Worksheet 3 8.6 Solving Rational Equations and Inequalities p. 484 (10-20) 3 8.6 Solving Rational Equations and Inequalities Worksheet 3 3 Chapter 8 Review Worksheet - Chapter 8 Review 3 3 3 4 Chapter 8 Test Standardized Test Practice Quarter 3 Review Quarter 3 Test - p. 490 (10-20 even, 25-35 odd, 37-43 odd) Chapter 8 Test p. 494-495 (1-12) 9.D.4 13.1 Right Triangle Trigonometry 4 p. 764 (13-40) 9.D.4 13.2 Angles and Angle Measure p. 772 (1-10, 13-34) Worksheet 4 13.2 Angles and Angle Measure 4 9.D.4 13.3 Trigonometric Functions of General Angles 4 13.3 Trigonometric Functions of General Angles 4 4 4 Quiz Review Quiz Review p. 782 (1-3, 8-10, 14-20, 34-41) p. 781-782 (4-7, 11,12, 2232 even, 42-44) p. 813 (7-20, 23-26) Worksheet - Quiz 4 4 4 Quiz on Sections 13.1-13.3 9.D 13.4 Law of Sines 13.4 Law of Sines p. 790 (3, 5, 18-28 even) Worksheet 9.D.5 13.5 Law of Cosines 4 p. 796 (7-18) - Chapter 13 Review 4 4 4 4 4 4 4 Chapter 13 Review Chapter 13 Test Standardized Test Practice 10.1 Midpoint and Distance Formulas Completing the Square 10.2 Parabolas 10.2 Parabolas 9.A 9.B.4 9.B.4 9.B.4 10.3 Circles 4 10.4 Ellipses 4 4 4 Review Ellipse & Parabolas Quiz Review p. 814-816 (28-32, 34-38, 40-43, 47-50) Worksheet Chapter 13 Test p. 818-819 (1-14) p. 565-566 (1-14, 16-23, not 9) Worksheet p. 571 (7, 9, 15, 16, 18) p. 912 (7-11, 14, 16) p. 577-579 (7-14 all, 16-28 even) p. 586-588 (9-14, 18-26 even, not 24) Worksheet Worksheet Quiz 4 Quiz 10.1-10.4 9.B.4 10.5 Hyperbolas p. 595 (8, 10, 12, 13, 16, 22, 28) 4 9.B.4 10.6 Conic Sections 4 p. 600-602 ( 10-18 even, 19-22) 8.D.4 10.7 Solving Quadratic Systems 4 p. 606-608 (8, 9, 13, 14, 2022) - 4 Chapter 10 Review Chapter 10 Test Standardized Test Practice 9.1 Exponential Functions 4 9.1 Exponential Functions 4 9.2 Logarithms and Logarithmic Functions 4 9.2 Logarithms and Logarithmic Functions Have students evaluate logarithmic expressions. Have students solve logarithmic equations and inequalities. Solving Logarithmic Equ. & Inequ 4 9.2 Logarithms and Logarithmic Functions Graphs of Logarithms worksheet 4 9.3 Properties of Logarithms Have students simplify and evaluate expressions using the properties of logarithms. Have students solve logarithmic equations using the properties of logarithms. p. 523 5(Everest only),7-19odd,25-37odd 4 4 4 4 9.3 Properties of Logarithms Quiz Review (9.1-9.3) Quiz 9.4 Common Logarithms 4 9.4 Common Logarithms 4 9.5 Base e and Natural Logarithms 4 9.6 Exponential Growth and Decay 4 4 4 Test Review Chapter 9 Test 4 Identify and graph an exponential function. Identify and graph exponential growth verse decay. Solve exponential equations and inequalities. Have students solve exponential equations and inequalities using common logarithms. Have students evaluate expressions involving the natural base and natural logarithms. Have students solve equations involving the natural base and natural logarithms Have students apply logarithms to solve problems involving exponential decay and growth. 8.B.4a 4.2 Operations with Matrices 8.B.4a 4.3 Multiplying Matrices 8.B.4a 4 4 4 4 (10-22,45-59 p. 531(15-43 odd, skip 21) p. 532 (28-52 even ,55,56) p. 540 (18-42 even, 4854 even) p. 548 (1-16) p. 165-167 (3-22) Have students write how yesterday’s concepts helped in understanding today’s lesson. Have students use the class seating arrangement to form matrices. Form two matrices with student seats and give each student a card to show the element in that position. Have students model matrix operations. 4.3 Day 2 p. 173-174 (14-21, 29-34) p. 181 (4-9, 20-24) p. 181 (12, 13, 25-27, 3134) 4 4 4 p. 514 odd) p. 557 (1-25) 4.1 Introduction to Matrices 4.5 Determinants 4.1 – 4.3, 4.5 Review Chapter 4 Test Standardized Test Practice Quarter 4 Review Quarter 4 Test Semester Review p. 504 (15-17,18-26even,34-38,3949odd) p. 514 (1-9,23-43) p. 523 (24-38even) p.527 (1-20) 4 4 Worksheet Chapter 10 Test p. 616-617 (1-10) p. 503 (1-9odd,10-14,19-29odd) 8.B.4a - Have students write the steps of one of the ways to find a third order determinant. p. 198-200 (1-6, 9, 17, 18) Worksheet Chapter 4 Test p. 230-231 (1-11) 4 4 Semester Review Final Exam *Complete list of Illinois Learning Standards and Performance Descriptors for each grade level may be found at www.isbe.net. **Methods/Resources section should include strategies/activities to integrate technology, provide tiered/differentiated instruction and to integrate cultural diversity.