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.

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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


2 Test on Ch 11 2.1 Relations and MA.912.A.2.6 Relation, Domain, Range, 8017,16235, SB 1.4

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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


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


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


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


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


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


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


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


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


Week 11:Polynomial FunctionsSolving PolynomialsSolving and Dividing Polynomial Equations


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


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


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


3 Review2 Test

Week 15:Flex Days


5 Flex DaysWeek 16:Flex Days


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


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


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


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


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


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


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


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


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


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


1 Review2 Ch 8 Test


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


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


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


Week 32:










FCAT WeekDays

5Week 33:Ch 9 TestConic SectionsParabolasCircles


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


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


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


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



algebra ii honors · web viewtextbook: algebra 2 honors gold series, prentice hall curriculum and...

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