Algebra 2 Infromation

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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.
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