McLean County Unit District No



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):

Duration: 1 year

Course Number: 681/682

Section 2 – Curriculum Map for Algebra2

|Grading |CONTENT |Learning Standards |METHODS/RESOURCES |ASSESSMENTS |

|Period |Knowledge / Skills / Concepts | |Activities / Performances / Products | |

| |CHAPTERS ONE AND TWO COMBINED ON ONE TEST!! | | | |

|1 | | | | |

| |1.1 Expressions and Formulas |8.A.3a | |p. 8-10 (2-30 even) |

|1 | | | | |

| |1.2 Properties of Real Numbers |8.A.3a | |p. 15-17 (14-33 all, 36-42 |

| | | | |even) |

|1 | | |Have each student write (in words) the steps to solving the equation | |

| |1.3 Solving Equations |8.D.3a |2x + 3 = 15 |p. 23-26 (17-41 odd) |

|1 |Quiz | | |1.1 – 1.3 |

|1 | | | | |

| |1.4 Solving Absolute Value Equations |8.D.3b | |p. 29-30 (10-44 even) |

|1 | | | | |

| |1.5 Solving Inequalities |8.B.4a | |p. 37-39 ( 10-24 all, 27, 30,|

| | | | |34-44 even ) |

|1 | | | | |

| |1.6 Solving Compound and Absolute Value Inequalities (2 DAYS)**** |8.B.4a |Word problem worksheet integrating cultural diversity |p. 45-48 (2-38 even) |

|1 | |- | | |

| |Chapter 1 Review (NOW A Review for Quiz) | | |p.50-52 (1-61 odd) |

|1 |Chapter 1 Test (NOW A Quiz) | | |Chapter 1 Test |

|1 | | |Differentiated Instruction: Have students familiar with musical | |

| |2.1 Relations and Functions |8.D.3b |notation explain how graphing points is similar to writing musical |p.62-64 ( 14-42 even, 43-45) |

| | | |notes on a staff. | |

|1 | | |Have each student write a short explanation of how to determine if an| |

| |2.2 Linear Equations |8.B.3 |equation is linear. |p.69-70 ( 11-47 odd) |

|1 | | | | |

| |2.3 Slope |8.B.3 | |p. 74-75 (14-36 even, 39, |

| | | | |43) |

|1 | | |Have students write how yesterday’s concepts helped in understanding | |

| |2.4 Writing Linear Equations (2 days)**** |8.B.3 |today’s lesson. |p. 83-84 ( 13-23 odd, 25-26, |

| | | | |31-35 odd) |

|1 |Quiz 2.1 – 2.4 Review | | |Worksheet |

|1 | |- | | |

| |Quiz | | |Quiz on Sections 2.1-2.4 |

|1 |2.5 Scatter Plots and Linear Regression 2 days *** | | | |

|1 | | | | |

| |2.6 Special Functions |8.B.5 | |p.99-101 ( 4-6 , 20-25) |

|1 |2.6 Day 2 | | |p. 894 (6-10 ) |

|1 | | | | |

| |2.7 Graphing Inequalities |8.B.4a |Word problem worksheet integrating cultural diversity |p. 104-105 (10-21, 29) |

|1 | |- | |Worksheet or |

| |Chapter 2 Review Now a Test Review Combined Chapter 1 and 2 | | |p.106-110 (1-51 odd) |

|1 |Chapter 2 Test Now a Test over the sections of Chapter 1 and 2 |- | |Chapter 2 Test |

| |Standardized Test Practice | | |p. 112-113 (1-11) |

|1 | | | | |

| |3.1 Solving Systems of Equations by Graphing |8.D.3a |Have each student draw the graph of an example of a consistent and |p. 121 ( 13-24) |

| | | |independent system of equations. | |

|1 | | | | |

| |3.2 Solving Systems of Equations Algebraically |8.D.3a | |p. 127 (1-4, 12-17, 24, 25)|

|1 |3.2 Day 2 | | |p. 127-128 (6-11, 18-28, |

| | | | |30-38 even) |

|1 | | | | |

| |3.3 Solving Systems of Inequalities by Graphing |8.D.3a |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 |Quiz 3.1 – 3.3 Review | | |Worksheet |

|1 |Quiz | | |Quiz on Sections 3.1-3.3 |

| | |8.D.4 | |p. 136 (1-8) |

|1 | | | | |

| |3.4 Linear Programming |8.D.4 | |p. 142 (15-20) |

|1 | | |Have students compare solving systems in three variables with solving| |

| |3.5 Solving Systems of Equations in Three Variables |8.D.3a |systems in two variables. |p. 149 (6, 9, 10, 12) |

|1 |3.5 Day 2 | | |p. 149 (1-5, 11, 13-16) |

|1 |Chapter 3 Review |- | |Worksheet or |

| | | | |p. 153-156 (1-31 odd) |

|1 |Chapter 3 Test |- | |Chapter 3 Test |

| |Standardized Test Practice | | |p. 158-159 (1-11) |

|1 |Quarter Review | | |Worksheet |

|1 |INSERT 13 DAYS of PROBABILITY UNIT | | | |

| | | | | |

| | | | | |

| | | | | |

|2 |5.1 Graphing Quadratic Functions |8.A.4b, 8.B.4a, |Reading Mathematics p. . 245 |p. 241 (12-20 even) |

| | |8.B.4b |Introduce Foldables Study Organizer for Chapter 5 | |

|2 |5.2 Solving Quadratic Equations by Graphing |8.B.4a | |p. 249 (1-11) |

|2 |5.3 Solving Quadratic Equations by Factoring |8.D.4 | |Worksheet |

|2 |5.3 Day 2 | | |p. 256 (2, 15-30) |

|2 |Factoring Overview | | |Worksheet |

|2 |Quiz 5.1 – 5.3 Review | | |Worksheet |

|2 |Quiz | | | |

|2 |5.4 Complex Numbers |6.A.5, 8.A.4b |Have students write poems about the imaginary number i. |p. 264 (22-44) |

|2 |5.5 Completing the Square |8.D.4 |Describe Culture that used the Golden Ratio/Rectangle and for what |p. 273 (16-21, 24, 25,28-31)|

| | | |purpose | |

| 2 |5.5 Day 2 | | |p. 273 (26, 27, 32-39) |

|2 |5.6 Quadratic Formula and the Discriminant |8.D.4 | |p. 281 (15-21) |

|2 |5.7 Analyzing Graphs of Quadratic Functions | | |p. 290 (13-15, 27, 28) |

|2 |Vertex Form Review | | |Worksheet |

|2 |5.8 Quadratic Inequalities | | |p. 298 (11-16, 19-25) |

|2 |Chapter 5 Test Review | | |Worksheet |

|2 |Chapter 5 Test | | |Chapter 5 Test |

| |Standardized Test Practice | | |p. 308-309 (1-12) |

|2 |6.1 Properties of Exponents |6.B.5, 8.C.4a |Introduce Foldables Study Guide for Chapter 6 |p. 316 (11-26, 30-36 even) |

|2 |6.2 Operations with Polynomials |8.C.4a |Multiplying Binomials |p. 323 (15-36, 42-50 even) |

|2 |6.3 Dividing Polynomials |8.C.4a |Long Division |Worksheet |

|2 |6.3 Dividing Polynomials Day 2 |8.C.4a |Synthetic Division |Worksheet |

|2 |Quiz Review 6.1 – 6.3 | | |Worksheet |

|2 |Quiz | | |Quiz 6.1 – 6.3 |

|2 |6.4 Polynomial Functions |8.C.4a, 8.A.5 | |p. 335 (1-11, 12-32 even) |

|2 |6.6 Solving Polynomial Equations |8.B.4a |Factoring Review – GCF, grouping, trinomial diamond |Worksheet |

|2 |6. 6 Day 2 |8.D.4 |Factoring Review – Special cases |Worksheet |

|2 |6.6 Day 3 | |Solving |p. 353 (1-12, 30-35) |

|2 |Review 6.6 | |Factoring & Solving |Worksheet |

|2 |6.7 Remainder Theorem |8.D.4 | |p. 359 (10-16 even, 18- 25) |

|2 |Quiz Review 6.4 – 6.7 | | |Worksheet |

|2 |Quiz | | |Quiz 6.4 – 6.7 |

| 2 |6.8 Roots and Zeros |8.C.4a, 8.D.4 | |p. 366 (1-4, 11-21 odd) |

| 2 |6.9 Rational Zero Theorem | | |p. 371 (1-5, 10-15) |

| 2 |Chapter 6 Review | | |p. 375-378 (11-14, 16-19, 21,|

| | | | |22-28 even, 38-44, 47, 50, |

| | | | |51) |

|2 |Chapter 6 Review Day 2 | | |Worksheet |

|2 |Chapter 6 Test | | |Chapter 6 Test |

| |Standardized Test Practice | | |p. 380-381 1-11 |

|2 |Quarter 2 Review | | |Worksheet |

|2 |Quarter 2 Test | |Scantron | |

|2 |Semester Review | | |Worksheets |

|2 |Semester 1 Exam | |Scantron & Short answer |Common Assessment |

|3 |7.1 Operations on Functions | |Introduce Foldables, Study Organizer |p. 388 |

| | | | |(1,2,5,6,7,9,15,17,29,37,38) |

|3 |7.2 Inverse Functions and Relations |8.D.4 | |p. 395 (10-24, 20-32) |

|3 |7.3 Square Root Function and Inequalities |8.B.4b, 8.D.4 | |p. 400 (12-17, 24-27) |

|3 |Quiz Review 7.1 – 7.3 | | |Worksheet |

|3 |Quiz | | |Quiz on Sections 7.1-7.3 |

|3 |7.4 nth Roots |8.D.4 | |p. 405 ( 2-8 even, 16-36 |

| | | | |even, 37-45) |

|3 |7.5 Operations and Radical Expressions |8.D.4 | |p. 413 (1-6, 18-35) |

|3 |7.6 Rational Exponents |8.D.4 | |p. 419 ( 1-8, 10-14, |

| | | | |17-31odd, 36-40) |

|3 |7.7 Solving Radical Equations and Inequalities |8.D.4 | |p. 425 (11-26, 31-36) |

| |Extend 7.7 Solving Radical Equations and Inequalities | | | |

|3 |Chapter 7 Review - Operations with Radicals | | |Worksheet |

|3 |Chapter 7 Review | | |Worksheet |

|3 |Chapter 7 Test | | |Chapter 7 Test |

| |Standardized Test Practice | | |p. 436-437 (1-7) |

|3 | |8.B.5 | | |

| |8.1 Multiplying and Dividing Rational Expressions | | |p. 447-449 ( 16-28, 30, 32) |

|3 | |8.B.5 | | |

| |8.2 Adding and Subtracting Rational Expressions | | |p. 454-456 (18-31) |

|3 |8.2 Day 2 | | |p. 453 (7-16) |

|3 | |8.B.5 | | |

| |8.3 Graphing Rational Functions | | |p. 460-463 (1, 2, 13-16, 37,|

| | | | |38, 57-59) |

|3 |8.3 Day 2 | | |p. 460-463 (21, 22, 25-28) |

|3 |Quiz Review 8. 1 – 8.3 | | |Worksheet |

|3 | |- | | |

| |Quiz | | |Quiz 8.1-8.3 |

|3 | |8.B.5 | | |

| |8.4 Direct, Joint, and Inverse Variation | | |p. 468 (8-13, 25-30) |

|3 | |8.B.5 | | |

| |8.5 Classes of Functions | | |p. 476 (1-5, 10-19, 24-31) |

|3 | |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 |Chapter 8 Review | | |Worksheet |

|3 | |- | | |

| |Chapter 8 Review | | |p. 490 (10-20 even, 25-35 |

| | | | |odd, 37-43 odd) |

|3 |Chapter 8 Test |- | |Chapter 8 Test |

| |Standardized Test Practice | | |p. 494-495 (1-12) |

|3 |Quarter 3 Review | | | |

|3 |Quarter 3 Test | | | |

|4 | |9.D.4 | | |

| |13.1 Right Triangle Trigonometry | | |p. 764 (13-40) |

|4 | |9.D.4 | | |

| |13.2 Angles and Angle Measure | | |p. 772 (1-10, 13-34) |

|4 | | | |Worksheet |

| |13.2 Angles and Angle Measure | | | |

|4 | |9.D.4 | | |

| |13.3 Trigonometric Functions of General Angles | | |p. 782 (1-3, 8-10, 14-20, |

| | | | |34-41) |

|4 |13.3 Trigonometric Functions of General Angles | | |p. 781-782 (4-7, 11,12, 22-32|

| | | | |even, 42-44) |

|4 |Quiz Review | | |p. 813 (7-20, 23-26) |

|4 |Quiz Review | | |Worksheet |

|4 | |- | | |

| |Quiz | | |Quiz on Sections 13.1-13.3 |

|4 | |9.D | | |

| |13.4 Law of Sines | | |p. 790 (3, 5, 18-28 even) |

|4 |13.4 Law of Sines | | |Worksheet |

|4 | |9.D.5 | | |

| |13.5 Law of Cosines | | |p. 796 (7-18) |

| 4 | |- | | |

| |Chapter 13 Review | | |p. 814-816 (28-32, 34-38, |

| | | | |40-43, 47-50) |

|4 |Chapter 13 Review | | |Worksheet |

|4 |Chapter 13 Test |- | |Chapter 13 Test |

| |Standardized Test Practice | | |p. 818-819 (1-14) |

|4 |10.1 Midpoint and Distance Formulas |9.A | | |

| | | | |p. 565-566 (1-14, 16-23, not|

| | | | |9) |

|4 |Completing the Square | | |Worksheet |

|4 |10.2 Parabolas | 9.B.4 | |p. 571 (7, 9, 15, 16, 18) |

|4 |10.2 Parabolas | 9.B.4 | |p. 912 (7-11, 14, 16) |

|4 | |9.B.4 | | |

| |10.3 Circles | | |p. 577-579 (7-14 all, 16-28 |

| | | | |even) |

|4 |10.4 Ellipses | | |p. 586-588 (9-14, 18-26 |

| | | | |even, not 24) |

|4 |Review Ellipse & Parabolas | | |Worksheet |

|4 |Quiz Review | | |Worksheet |

|4 | |- | | |

| |Quiz | | |Quiz 10.1-10.4 |

|4 | |9.B.4 | | |

| |10.5 Hyperbolas | | |p. 595 (8, 10, 12, 13, 16, |

| | | | |22, 28) |

|4 | |9.B.4 | | |

| |10.6 Conic Sections | | |p. 600-602 ( 10-18 even, |

| | | | |19-22) |

|4 | |8.D.4 | | |

| |10.7 Solving Quadratic Systems | | |p. 606-608 (8, 9, 13, 14, |

| | | | |20-22) |

|4 | |- | | |

| |Chapter 10 Review | | |Worksheet |

|4 |Chapter 10 Test |- | |Chapter 10 Test |

| |Standardized Test Practice | | |p. 616-617 (1-10) |

|4 |9.1 Exponential Functions | |Identify and graph an exponential function. Identify and graph |p. 503 |

| | | |exponential growth verse decay. Solve exponential equations and |(1-9odd,10-14,19-29odd) |

| | | |inequalities. | |

|4 |9.1 Exponential Functions | | |p. 504 |

| | | | |(15-17,18-26even,34-38,39-49o|

| | | | |dd) |

|4 |9.2 Logarithms and Logarithmic Functions | |Have students evaluate logarithmic expressions. Have students solve |p. 514 (1-9,23-43) |

| | | |logarithmic equations and inequalities. | |

|4 |9.2 Logarithms and Logarithmic Functions | |Solving Logarithmic Equ. & Inequ |p. 514 (10-22,45-59 odd) |

|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 |p. 523 5(Everest |

| | | |of logarithms. Have students solve logarithmic equations using the |only),7-19odd,25-37odd |

| | | |properties of logarithms. | |

|4 |9.3 Properties of Logarithms | | |p. 523 (24-38even) |

|4 |Quiz Review (9.1-9.3) | | |p.527 (1-20) |

|4 |Quiz | | | |

|4 |9.4 Common Logarithms | |Have students solve exponential equations and inequalities using |p. 531(15-43 odd, skip 21) |

| | | |common logarithms. | |

|4 |9.4 Common Logarithms | | |p. 532 (28-52 even ,55,56) |

|4 |9.5 Base e and Natural Logarithms | |Have students evaluate expressions involving the natural base and |p. 540 (18-42 even, 48-54 |

| | | |natural logarithms. Have students solve equations involving the |even) |

| | | |natural base and natural logarithms | |

|4 |9.6 Exponential Growth and Decay | |Have students apply logarithms to solve problems involving |p. 548 (1-16) |

| | | |exponential decay and growth. | |

|4 |Test Review | | |p. 557 (1-25) |

|4 |Chapter 9 Test | | | |

|4 | | | | |

| |4.1 Introduction to Matrices |8.B.4a | |p. 165-167 (3-22) |

|4 | | |Have students write how yesterday’s concepts helped in understanding | |

| |4.2 Operations with Matrices |8.B.4a |today’s lesson. |p. 173-174 (14-21, 29-34) |

|4 | | |Have students use the class seating arrangement to form matrices. | |

| |4.3 Multiplying Matrices |8.B.4a |Form two matrices with student seats and give each student a card to |p. 181 (4-9, 20-24) |

| | | |show the element in that position. Have students model matrix | |

| | | |operations. | |

|4 |4.3 Day 2 | | |p. 181 (12, 13, 25-27, 31-34)|

|4 | | |Have students write the steps of one of the ways to find a third | |

| |4.5 Determinants |8.B.4a |order determinant. |p. 198-200 (1-6, 9, 17, 18) |

|4 |4.1 – 4.3, 4.5 Review | | |Worksheet |

|4 |Chapter 4 Test |- | |Chapter 4 Test |

| |Standardized Test Practice | | |p. 230-231 (1-11) |

|4 |Quarter 4 Review | | | |

|4 |Quarter 4 Test | | | |

|4 |Semester Review | | | |

|4 |Semester Review | | | |

|4 |Final Exam | | | |

*Complete list of Illinois Learning Standards and Performance Descriptors for each grade level may be found at .

**Methods/Resources section should include strategies/activities to integrate technology, provide tiered/differentiated instruction and to integrate cultural diversity.

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