Algebra II Honors · Web viewTextbook: Algebra 2 Honors Gold Series, Prentice Hall Curriculum and...
Transcript of Algebra II Honors · Web viewTextbook: Algebra 2 Honors Gold Series, Prentice Hall Curriculum and...
Algebra II Honors1200340
Textbook: Algebra 2 Honors Gold Series, Prentice Hall
Curriculum and Pacing GuideRevised June 2011
New Benchmarks: www.floridastandards.orgSpringboard (SB)Study Island (SI): http://www.studyisland.com/
General StrategiesBenchmark Description
MA.912.A.10.3 Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities rational or radical expressions or
logarithmic or exponential functions).
General notes:1. SAT / PSAT review should occur throughout the year as appropriate. 2. All tests are cumulative. For each chapter after the first, assign important review problems and include similar ones on the test.
Research indicates that recall and retention will be enhanced.3. As much as possible, make lessons relevant with real-world applications and examples. NCTM publications and websites are
excellent resources. 4. Use graphing calculators as a resource for exploration and enhancement. Students should master algebraic processes by hand first,
then on the calculator.
The Essential Questions
Quarter 1 How to solve equations and inequalities. How to write an equation of a line. How to translate functions. How to solve absolute values and graph the solution. How to solve systems of equations. How to solve and graph quadratic functions.
Quarter 2 How to simply and solve with complex numbers. How to solve polynomial equations. How to divide polynomial equations. How to understand theorems about roots of polynomial equations. How to transform a polynomial function.
Quarter 3 How to solve and simply radical expressions. How to find the inverse. How to solve and simply exponential functions. How to solve and simply logarithmic functions. How to solve and simply rational expressions.
Quarter 4
What is the difference between arithmetic and geometric sequence. How to find a certain term with an arithmetic and geometric sequence. How to find the sum of arithmetic and geometric series. What is a conic section. How to find standard form and graph parabola, circle, ellipse, and hyperbola. How to translate conic sections.
Week 1 Concepts:Day 1: Introductions/opening thingsSolving equations and inequalitiesSolving absolute value equations and inequalitiesCh 1 Review
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 1.4-1.5 Solving Equations and Inequalities
MA.912.A.3.3MA.912.A.10.3MA.912.A.3.6
Equation, Solution of an equation, Inverse operations,
Identity, Literal equation, Compound Inequality
20518,20516,7301, 20281
(SI) Diagnostic Test(SI) Reasoning with Equations and InequalitiesHS Math Algebra
2 1.6 Absolute Value Equations and
Inequalities
MA.912.A.3.6 Absolute value, Extraneous solution
7954,20336,161687, 20515,16236,8365, 20251,20517,7184,
(SI) Absolute Value Equations & InequalitiesAlgebra II
1 ReviewWeek 2 Concepts:Chapter 1 TestRelations and FunctionsLinear EquationsDirect VariationSlope-Intercept Form
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
2 Test on Ch 11 2.1 Relations and MA.912.A.2.6 Relation, Domain, Range, 8017,16235, SB 1.4
Functions Function, Vertical-line test, Function rule, Function notation, Independent
variable, Dependent variable1 2.2 Direct Variation MA.912.A.2.12 Direct variation, Constant of
variation16698,172902 SB 5.5
1 2.3 Linear Function and Slope-Intercept Form
MA.912.A.3.10MA.912.A.2.6
Slope, Linear function, Linear equation, y-intercept, x-intercept, slope-intercept
form
20520, 7984, (SI) Solve Linear EquationsHS Math Algebra
Week 3 Concepts:Linear EquationsQuiz 2.1-2.4Functions
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 2.4 More About Linear Equations
MA.912.A.3.10 Point-slope form, Standard form of a linear equation,
Parallel lines, Perpendicular lines
7959,20519, 20521, 20525,
1 Review1 2.1-2.4 Quiz1 2.6 Family of Functions MA.912.A.2.12 Parent function,
Transformation, Translation, Reflection,
Vertical Stretch, Vertical compression
80620, SB 5.5
Week 4 Concepts:
Absolute ValueInequalitiesReview and Test Ch 2
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 2.7 Absolute Value Functions and Graphs
MA.912.A.2.5MA.912.A.2.6MA.912.A.2.10
Absolute value function, Axis of symmetry, Vertex
80624,80586, 8365 SB 1.3
2 2.8 Two-Variable Inequalities
MA.912.A.2.5 Linear inequality, Boundary, Half-plane, Test
point
80636 SB 1.1
1 Review1 Test Ch 2
(Include key questionsfrom Ch. 1 and 2)
Week 5 Concepts:Ch 2 Test Systems of InequalitiesSystems of Equations Review for Quiz
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Test Ch 2(Include key questions
from Ch. 1 and 2)1 3.1 Solving Systems using
Tables and GraphsMA.912.A.3.14MA.912.A.3.15
System of equations, Linear system, Solution of a
system, Inconsistent system, Consistent System,
Independent system, Dependent system
20523,161693, SB 1.2
1 3.2 Solving Systems Algebraically
MA.912.A.3.14MA.912.A.3.15
Equivalent Systems 20522,16220, SB 1.2(SI) Systems of EquationsAlgebra II
1 3.3 Systems of Inequalities MA.912.A.3.14 80647,80655,81090,81 SB 1.2
MA.912.A.3.15 093 (SI) Systems of InequalitiesAlgebra II
1 ReviewWeek 6 Concepts:QuizLinear ProgrammingSystems of Equations with 3 VariablesSystem of Equations using Matrices
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 3.1-3.3 Quiz1 3.4 Linear Programming MA.912.A.3.14
MA.912.A.3.15Constraint, Linear
programming, Feasible region, Objective function
16285,19045, SB 1.1
1 3.5 System with Three Variables
MA.912.A.3.14MA.912.A.3.15
7986,16208, SB 1.2
2 3.6 Solving Systems Using Matrices
MA.912.A.3.14MA.912.A.3.15
Matrix, Matrix element, Row operation
81100,7163,168193 SB 1.7
Week 7:ReviewCh 3 TestQuadratic Functions
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Review2 Chapter 3 Test
(Include key questionsfrom Ch. 1-3)
1 4.1 Quadratic Functions and Transformations
MA.912.A.2.10MA.912.A.2.6MA.912.A.7.6
Parabola, Quadratic function, Vertex form, Axis of symmetry, Vertex of the
16281,7997, SB 3.5SB 3.6
parabola, Minimum value, Maximum value
1 4.2 Standard Form of a Quadratic Function
MA.912.A.7.6MA.912.A.2.6
Standard Form 16234, SB 3.5
Week 8:Quadratic FunctionsReviewQuiz
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 4.3 Modeling With Quadratic Functions
MA.912.A.3.15 20498,20570,1626,7171
SB 3.1
2 4.4 Factoring Quadratic Expressions
MA.912.A.4.3 Factoring, GCF of an expression, Perfect square
trinomial, Difference of two squares
7232,7228,20531, 7164,7236,20532,
SB 3.2
1 Review1 Quiz
Week 9:Quadratic EquationsCompleting the SquareQuadratic FormulaComplex Number
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 4.5 Quadratic Equations MA.912.A.4.8 Zero of a function, Zero-Product Property
20500,16255,7669 SB 3.2
2 4.6 Completing the Square MA.912.A.7.3 Completing the Square 80679,81282,81283 SB 3.41 4.7 Quadratic Formula MA.912.A.7.4 Quadratic Formula,
Discriminant7173,7200,7211,16197, SB 3.4
(SI) Quadratic Equations & Inequalities
Algebra II1 4.8
Part 1Complex Numbers MA.912.A.7.5
MA.912.A.1.6Imaginary number,
Complex number, Complex number plane, Absolute
value of a complex number, Complex conjugates
8867,7183,7996,16199,7208,
SB 3.3(SI) Complex NumbersAlgebra II
Week 10:Complex NumbersQuadratic SystemsReview and Test Ch 4
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 4.8Part 2
Complex Numbers MA.912.A.7.5MA.912.A.1.6
Imaginary number, Complex number, Complex
number plane, Absolute value of a complex number,
Complex conjugates
8867,7183,7996,16199,7208,
SB 3.3(SI) Complex NumbersAlgebra II
1 4.9 Quadratic Systems MA.912.A.7.7 7601,7779,7873,78901 Review1 Ch 4 Test
(Include key questionsfrom Ch. 1-4)
Week 11:Polynomial FunctionsSolving PolynomialsSolving and Dividing Polynomial Equations
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 5.1 Polynomial Functions MA.912.A.2.6MA.912.A.4.5
Monomial, Degree of a polynomial, Polynomial
Function, Standard form of a polynomial function,
7226,20527,20529, SB 4.1(SI) Polynomial Functions & GraphsAlgebra II
Turning point, End behavior1 5.2 Polynomial, Linear
Factors and ZerosMA.912.A.4.7MA.912.A.4.8MA.912.A.4.3
Factor theorem, Multiple zero, Multiplicity, Relative maximum and minimum
8038,16288,7164,161688,7232
SB 4.4
2 5.3 Solving Polynomial Equations
MA.912.A.4.9MA.912.A.4.3MA.912.A.4.10
Sum of cubes, Difference of cubes
8038,16233,20530 SB 4.3(SI) PolynomialsAlgebra II
1 5.4 Dividing Polynomials MA.912.A.4.3MA.912.A.4.4MA.912.A.4.6
Synthetic division, Remainder theorem
8032,16243,8036,16231,16239,
SB 4.2
Week12:Review and QuizTheorems
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Review1 Quiz2 5.5 Theorems about Roots
of Polynomial Equations
MA.912.A.4.6MA.912.A.4.7
Rational Root Theorem, Conjugate Root Theorem, Descartes’ rule of Signs
8036,16231,16239, 7683,7240,8035,16168
8
SB 4.3SB 4.4
Week 13:TheoremsFundamental Theorem of AlgebraBinomial TheoremTransforming Polynomials
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
2 5.6 The Fundamental Theorem of Algebra
MA.912.A.4.6 Fundamental Theorem of Algebra
7240,7688 SB 4.3
2 5.7 The Binomial Theorem MA.912.A.4.12 Expand, Pascal’s Triangle, Binomial Theorem
8039,7177,7178,16212,16580,
SB 4.4SB 4.6
(SI) Binomial Thm
HS Math Algebra1 5.9 Transforming
Polynomial FunctionMA.912.A.2.10 Power Function, Constant
of Proportionality16281,7997, SB 4.4
Week14:ReviewTest
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
3 Review2 Test
Week 15:Flex Days
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
5 Flex DaysWeek 16:Flex Days
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
5 Flex Days
Midterm Weeks 17 - 19
First HalfCourse Content and Instruction 67Midterm Prep and Exam 10Flex Days 10Total Days 87
Week 20:
Roots and Radical ExpressionsRadical Expressions
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 6.1 Roots and Radical Expressions
MA.912.A.6.2 Nth root, principal root, radicand, index
20540,16201, SB 5.3
2 6.2 Multiplying and Dividing Radical
Expressions
MA.912.A.6.2 Simplest form of a radical, Rationalize the denominator
8023, SB 5.3
Week 21:Binomial Radical ExpressionsRational ExponentsQuiz
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 6.3 Binomial Radical Expressions
MA.912.A.6.2 Like radicals 7851,7246,16204 SB 5.3
2 6.4 Rational Exponents MA.912.A.6.3MA.912.A.6.4
Rational exponent 7306,7842,20280,20528,20533,20534
SB 5.3
1 Review1 Quiz
Week 22:Square RootsInverseRadical FunctionsReview
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 6.5 Solving Square Root and Other
MA.912.A.6.5MA.912.A.6.4
Radical equation, Square root equation
7246,7851, 7221,8028,16200
SB 5.2SB 5.3
(SI) Rational & Radical EquationsAlgebra II
1 6.6 Function Operations MA.912.A.2.7MA.912.A.2.8
Composite Function 7278,20524, 16210, SB 5.1
1 6.7 Inverse Relations and Functions
MA.912.A.2.11 Inverse relation, Inverse function, One-to-one
function
7281,8016, SB 5.1(SI) Function InversesAlgebra II
1 6.8 Graphing Radical Functions
MA.912.A.2.6MA.912.A.2.10
Radical Function, Square Root Function
8859 SB 5.2SB 5.2
1 ReviewWeek 23:Ch 6 TestExponential Functions
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
2 Ch 6 Test(Include key questions
from Ch. 1-6)2 7.1 Exploring Exponential
ModelsMA.912.A.8.1MA.912.A.8.3MA.912.A.8.7
Exponential function, Exponential growth, Exponential decay,
Asymptote, Growth factor, Decay factor
8363,16569,16206 SB 2.3(SI) Exponential Functions & GraphsAlgebra II
1 7.2 Properties of Exponential Functions
MA.912.A.8.1MA.912.A.8.3MA.912.A.2.10
Natural base exponential function, Continuously compounded interest
80785,80810,80835 SB 2.3(SI) Exponential Functions & GraphsAlgebra II
Week24:Logarithmic FunctionsReview and Quiz
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
2 7.3 Logarithmic Functions as Inverses
MA.912.A.8.1MA.912.A.8.3
Logarithm, Logarithmic function, Common
8075,8860 ,7255,7212, SB 2.4
MA.912.A.2.11 logarithm, Logarithmic scale
1 Review1 Quiz1 7.4
Part 1Properties of Logarithms
MA.912.A.8.2MA.912.A.8.6
Change of base formula 8041,8361,8862,16211,16230, 7734,8861,
SB 2.4SB 2.5
Week 25:Logarithms
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 7.4Part 2
Properties of Logarithms
MA.912.A.8.2MA.912.A.8.6
Change of base formula 8041,8361,8862,16211,16230, 7734,8861,
SB 2.4SB 2.5
(SI) Logarithms & ExponentsHS Math Functions
2 7.5 Exponential and Logarithmic Equations
MA.912.A.8.5 Exponential equation, Logarithmic equation
7939,7937 SB 2.6
1 7.6Part 1
Natural Logarithms MA.912.A.8.1MA.912.A.8.5
Natural logarithmic function 8361,8863,16209,16568,
Week 26:LogarithmsReview and Test Inverse
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 7.6Part 2
Natural Logarithms MA.912.A.8.1MA.912.A.8.5
Natural logarithmic function 8361,8863,16209,16568,
1 Review2 Ch 7 Test
(Include key questionsfrom Ch. 1-7)
1 8.1 Inverse Variation MA.912.A.2.12 Inverse variation, Combined variation, Joint variation
16245,8031,7266 SB 5.5
Week 27:
Rational Functions Review and QuizDays Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/
Resources1 8.2 The Reciprocal
Function FamilyMA.912.A.2.10MA.912.A.2.12
Reciprocal function, Branch 81776,81777,81778,133263
SB 5.5
2 8.3 Rational Functions and Their Graphs
MA.912.A.5.6 Rational function, Continuous, Discontinuous,
Point of discontinuity, Removable discontinuity,
Non-removable discontinuity
81776,81777,81778,133263
SB 5.4SB 5.5SB 5.6
(SI) Rational Functions & GraphsAlgebra II
1 Review1 Quiz
Week 28:Rational Expressions Rational Equations
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 8.4 Rational Expressions MA.912.A.5.2 Rational expression, Simplest form
8856,8363,8049, 20537,7296,8049,2053
6,16207,7260
SB 5.6SB 5.7
2 8.5 Adding and Subtracting Rational Expressions
MA.912.A.5.2MA.912.A.5.3
Complex Fraction 8051,16205, 7273,16222,20538
SB 5.6SB 5.7
2 8.6 Solving Rational Equations
MA.912.A.5.5 Rational equation 7263,20539,8055,16217,
SB 5.7
Week 29:Review and Test Patterns
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Review2 Ch 8 Test
(Include key questionsfrom Ch. 1-8)
1 9.1 Mathematical Patterns MA.912.D.11.1 Sequence, Term of a 13124,13127,14898 SB 2.1
sequence, Explicit formula, Recursive formula
Week 30:SequencesReview and QuizSeries
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 9.2 Arithmetic Sequence MA.912.D.11.1MA.912.D.11.3
Arithmetic sequence, Common difference,
Arithmetic mean
7114,7175,16213, SB 2.1
1 9.3 Geometric Sequence MA.912.D.11.1MA.912.D.11.3
Geometric Sequence, Common ratio, Geometric
mean
16242,8066, 8366,8358,
SB 2.2
1 Review1 Quiz1 9.4 Arithmetic Series MA.912.D.11.1
MA.912.D.11.2MA.912.D.11.4
Series, Finite Series, Infinite Series, Arithmetic Series,
Limits
8065,16214, 8068,7176,
SB 2.1
Week 31:SeriesReview and Test
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
2 9.5 Geometric Series MA.912.D.11.2MA.912.D.11.4
Geometric Series, Converge, Diverge
7174,7124, SB 2.2
1 Review2 Ch 9 Test
(Include key questionsfrom Ch. 1-9)
Week 32:
FCAT WeekDays
5Week 33:Ch 9 TestConic SectionsParabolasCircles
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 10.1 Exploring Conic Sections
MA.912.A.9.2 Conic Section 81895,81896, SB 7.1
2 10.2 Parabolas MA.912.A.9.1MA.912.A.9.2
Focus of a parabola, Directrix, Focal Length
8058,16244, SB 7.4(SI) Parabola & Circle EquationsHS Math Geometry
2 10.3 Circles MA.912.G.6.6MA.912.G.6.7
Circle, center of a circle, Radius, Standard form of the equation of a circle
7139,16227, SB 7.2(SI) Parabola & Circle EquationsHS Math Geometry
Week 34:Review and QuizEllipse and Hyperbola
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Review1 Quiz1 10.4 Ellipses MA.912.A.9.2 Ellipse, Focus of an ellipse,
Major axis, Center of an ellipse, Minor axis, Vertices of an ellipse, Co-vertices of
an ellipse
7158,7199,16198, SB 7.2(SI) Ellipses & HyperbolasHS Math Geometry
1 10.5 Hyperbola MA.912.A.9.2 Hyperbola, Focus of the 7196,8061, SB 7.3
hyperbola, Vertex of a hyperbola, Transverse axis, Axis of symmetry, Center of a hyperbola, Conjugate
axis
(SI) Ellipses & HyperbolasHS Math Geometry
1 Review
Week 35:QuizConic SectionsReview and Test
Days Section Topic Benchmarks Vocabulary / Comments DW Item #s Extensions/Resources
1 Quiz2 10.6 Translating Conic
SectionsMA.912.A.9.1MA.912.a.9.2
81894,81897,81898, 81916
SB 7.1 – 7.5
1 Review1 Ch 10 Test
(Include key questionsfrom Ch. 1-10)
Flex Days Week 36Final Review and Finals Weeks 37-39
Second HalfCourse Content and Instruction 75Final Prep and Exam 13
Flex Days 5Total Days 93