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 Period / CONTENTKnowledge / Skills / Concepts / Learning Standards / METHODS/RESOURCES
Activities / Performances / Products / ASSESSMENTS
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 / 1.3 Solving Equations / 8.D.3a / Have each student write (in words) the steps to solving the equation 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 / 2.1 Relations and Functions / 8.D.3b / Differentiated Instruction: Have students familiar with musical notation explain how graphing points is similar to writing musical notes on a staff. / p.62-64 ( 14-42 even, 43-45)
1 / 2.2 Linear Equations / 8.B.3 / Have each student write a short explanation of how to determine if an 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 / 2.4 Writing Linear Equations (2 days)**** / 8.B.3 / Have students write how yesterday’s concepts helped in understanding 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 / Chapter 2 Review Now a Test Review Combined Chapter 1 and 2 / - / Worksheet or
p.106-110 (1-51 odd)
1 / Chapter 2 Test Now a Test over the sections of Chapter 1 and 2
Standardized Test Practice / - / Chapter 2 Test
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 independent system of equations. / p. 121( 13-24)
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 graphs of systems of inequalities. / p. 133 (1-4, 9-16)
1 / Quiz 3.1 – 3.3 Review / Worksheet
1 / Quiz / 8.D.4 / Quiz on Sections 3.1-3.3
p. 136 (1-8)
1 / 3.4 Linear Programming / 8.D.4 / p. 142 (15-20)
1 / 3.5 Solving Systems of Equations in Three Variables / 8.D.3a / Have students compare solving systems in three variables with solving 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
Standardized Test Practice / - / Chapter 3 Test
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, 8.B.4b / Reading Mathematics p. . 245
Introduce Foldables Study Organizer for Chapter 5 / p. 241 (12-20 even)
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 purpose / p. 273 (16-21, 24, 25,28-31)
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
Standardized Test Practice / Chapter 5 Test
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
Standardized Test Practice / Chapter 6 Test
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
Extend 7.7 Solving Radical Equations and Inequalities / 8.D.4 / p. 425 (11-26, 31-36)
3 / Chapter 7 Review - Operations with Radicals / Worksheet
3 / Chapter 7 Review / Worksheet
3 / Chapter 7 Test
Standardized Test Practice / Chapter 7 Test
p. 436-437 (1-7)
3 / 8.1 Multiplying and Dividing Rational Expressions / 8.B.5 / p. 447-449 ( 16-28, 30, 32)
3 / 8.2 Adding and Subtracting Rational Expressions / 8.B.5 / p. 454-456 (18-31)
3 / 8.2 Day 2 / p. 453 (7-16)
3 / 8.3 Graphing Rational Functions / 8.B.5 / 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 / 8.4 Direct, Joint, and Inverse Variation / 8.B.5 / p. 468 (8-13, 25-30)
3 / 8.5 Classes of Functions / 8.B.5 / p. 476(1-5, 10-19, 24-31)
3 / 8.6 Solving Rational Equations and Inequalities / 8.B.5 / 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
Standardized Test Practice / - / Chapter 8 Test
p. 494-495 (1-12)
3 / Quarter 3 Review
3 / Quarter 3 Test
4 / 13.1 Right Triangle Trigonometry / 9.D.4 / p. 764 (13-40)
4 / 13.2 Angles and Angle Measure / 9.D.4 / p. 772 (1-10, 13-34)
4 / 13.2Angles and Angle Measure / Worksheet
4 / 13.3 Trigonometric Functions of General Angles / 9.D.4 / 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 / 13.4 Law of Sines / 9.D / p. 790 (3, 5, 18-28 even)
4 / 13.4 Law of Sines / Worksheet
4 / 13.5 Law of Cosines / 9.D.5 / 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
Standardized Test Practice / - / Chapter 13 Test
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 / 10.3 Circles / 9.B.4 / 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 / 10.5 Hyperbolas / 9.B.4 / p. 595 (8, 10, 12, 13, 16, 22, 28)
4 / 10.6 Conic Sections / 9.B.4 / p. 600-602 (10-18 even, 19-22)
4 / 10.7 Solving Quadratic Systems / 8.D.4 / p. 606-608 (8, 9, 13, 14, 20-22)
4 / Chapter 10 Review / - / Worksheet
4 / Chapter 10 Test
Standardized Test Practice / - / Chapter 10 Test
p. 616-617 (1-10)
4 / 9.1 Exponential Functions / Identify and graph an exponential function. Identify and graph exponential growth verse decay. Solve exponential equations and inequalities. / p. 503
(1-9odd,10-14,19-29odd)
4 / 9.1 Exponential Functions / p. 504
(15-17,18-26even,34-38,39-49odd)
4 / 9.2 Logarithms and Logarithmic Functions / Have students evaluate logarithmic expressions. Have students solve logarithmic equations and inequalities. / p. 514 (1-9,23-43)
4 / 9.2 Logarithms and Logarithmic Functions / Solving Logarithmic Equ. & Inequ / p. 514(10-22,45-59odd)
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. 5235(Everest only),7-19odd,25-37odd
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 common logarithms. / p. 531(15-43 odd, skip 21)
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 natural logarithms. Have students solve equations involving the natural base and natural logarithms / p. 540(18-42 even, 48-54 even)
4 / 9.6 Exponential Growth and Decay / Have students apply logarithms to solve problems involving exponential decay and growth. / p. 548(1-16)
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 / 4.2 Operations with Matrices / 8.B.4a / Have students write how yesterday’s concepts helped in understanding today’s lesson. / p. 173-174 (14-21, 29-34)
4 / 4.3 Multiplying Matrices / 8.B.4a / 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. / p. 181(4-9, 20-24)
4 / 4.3 Day 2 / p. 181 (12, 13, 25-27, 31-34)
4 / 4.5 Determinants / 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)
4 / 4.1 – 4.3, 4.5 Review / Worksheet
4 / Chapter 4 Test
Standardized Test Practice / - / Chapter 4 Test
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.