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Algebra 2 Standard Pacing Guide - Wayne County Public Schools

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<strong>Wayne</strong> <strong>County</strong> <strong>Public</strong> <strong>Schools</strong><br />

2003 NC Math <strong>Standard</strong> Course of Study<br />

<strong>Pacing</strong> <strong>Guide</strong> for Block Scheduling<br />

<strong>Algebra</strong> 2 - <strong>Standard</strong><br />

<strong>Algebra</strong> 2 continues students' study of advanced algebraic concepts including functions, polynomials, rational expressions, systems of<br />

functions and inequalities, and matrices. Students will be expected to describe and translate among graphic, algebraic, numeric, tabular,<br />

and verbal representations of relations and use those representations to solve problems. Emphasis should be placed on practical<br />

applications and modeling. Appropriate technology, from manipulatives to graphing calculators and application software, should be used<br />

regularly for instruction and assessment.<br />

1 st 4½ weeks 2 nd 4½ weeks 3 rd 4½ weeks 4 th 4½ weeks<br />

1.03 Operate with <strong>Algebra</strong>ic<br />

Expressions to Solve Problems<br />

2.04 Best-Fit Mathematical Models<br />

of Linear, Exponential, & Quadratic<br />

Functions to Solve Problems Involving<br />

sets of Data<br />

2.08 Equations & Inequalities with<br />

Absolute Value to Model and Solve<br />

Problems<br />

2.10 Systems of 2 or More Equations<br />

or Inequalities to Model and Solve<br />

Problems<br />

1.02 Complex Numbers<br />

1.03 Operate with <strong>Algebra</strong>ic<br />

Expressions to Solve Problems<br />

1.01 Rational Exponents & Logarithms (Common &<br />

Natural)<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions to Solve<br />

Problems<br />

1.01 Rational Exponents &<br />

Logarithms (Common &<br />

Natural)<br />

1.03 Operate with <strong>Algebra</strong>ic<br />

Expressions to Solve Problems<br />

1.04 Matrices 1.05 Direct, Inverse, Combined, & Joint Variation 2.03 Exponential Functions<br />

2.02 Quadratic Functions &<br />

Inequalities to Model and Solve<br />

Problems<br />

2.01 Composition & Inverse of Functions<br />

2.04 Best-Fit Mathematical<br />

2.04 Best-Fit Mathematical Models of Linear,<br />

Models of Linear, Exponential, &<br />

Exponential, & Quadratic Functions to Solve Problems<br />

Quadratic Functions to Solve<br />

Involving Sets of Data<br />

Problems Involving Sets of Data<br />

2.06 Cubic Equations 2.05 Rational Equations<br />

2.10 Systems of 2 or More<br />

Equations or Inequalities to Model 2.06 Cubic Equations<br />

and Solve Problems<br />

2.07 Equations with Radical Expressions<br />

2.04 Best-Fit Mathematical<br />

Models of Linear, Exponential,<br />

& Quadratic Functions to<br />

Solve Problems Involving Sets<br />

of Data<br />

2.09 Equations of Parabolas<br />

& Circles<br />

Chapters 1, 2, 3 Chapters 4, 5, 6.1-6.6 Chapters 6.7 – 6.9, 7, 9 Chapters 10, 8, 12.2<br />

Text: McDougal Littell <strong>Algebra</strong> 2: NC Edition, ©2004, McDougal Littell<br />

Essential Questions should be incorporated into daily math activities in order to engage students in real life problem solving.<br />

September 2007


<strong>Wayne</strong> <strong>County</strong> <strong>Public</strong> <strong>Schools</strong><br />

Suggested Timetable for <strong>Algebra</strong> 2 <strong>Standard</strong><br />

2003 NC Math <strong>Standard</strong> Course of Study<br />

1 st Nine Weeks Text: McDougal Littell <strong>Algebra</strong> 2: NC Edition ©2004<br />

Essential Questions should be incorporated into daily math activities in order to engage students in real life problem solving<br />

Objective Chapter Section Days for Instruction<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

2.08 Equations and Inequalities with<br />

Absolute Value<br />

Chapter 1 Equations & Inequalities<br />

1.1-1.2 Real Numbers; <strong>Algebra</strong>ic Expressions<br />

1.3 Solving Linear Equations<br />

1.4 Equations & Formulas<br />

1.5 <strong>Algebra</strong>ic Models<br />

1.6 Solving Linear Equations<br />

1.7 Absolute Value Equations & Inequalities<br />

1 day<br />

1 day<br />

1 day<br />

1 day<br />

1 day<br />

1 day<br />

Chapter 2 Linear Equations & Functions<br />

2.1 Functions & their Graphs<br />

2.2 Slope; Rate of Change<br />

2.3 Quick Graphs of Linear Equations<br />

2.4 Writing Equations of Lines<br />

1 day<br />

1 day<br />

1 day<br />

1 day<br />

2.04 Best Fit Mathematical Models<br />

2.08 Absolute Value Functions<br />

Chapter 2<br />

2.5 Correlation & Best Fitting Lines<br />

2.6 Linear Inequalities<br />

2.7 Piecewise Functions<br />

2.8 Absolute Value Functions<br />

1 days<br />

1 day<br />

2 days<br />

1 day<br />

2.10 Systems of 2 or more Equations or<br />

Inequalities<br />

1.04 Matrices<br />

2.10 Systems of 2 or more Equations or<br />

Inequalities<br />

Chapter 3 Systems of Linear Equations &<br />

Inequalities<br />

Chapter 4 Matrices & Determinants<br />

3.1 Solve by Graphing<br />

3.2 Solve <strong>Algebra</strong>ically<br />

3.3 Graphing/Solving Systems of Inequalities<br />

3.6 Three Variables<br />

4.1-4.5<br />

1 day<br />

2 days<br />

2 days<br />

1 day (21 days)<br />

2 days<br />

2.02 Quadratic Functions and Inequalities<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

1.02 Complex Numbers<br />

2.02 Quadratic Functions and Inequalities<br />

2.04 Best Fit Mathematical Models<br />

Chapter 5 Quadratic Functions<br />

5.1 Graphing Quadratic Functions<br />

5.2 Solve by Factoring<br />

5.3 Solve by Finding Square Roots<br />

5.4 Complex Numbers<br />

5.5 Completing the Square<br />

5.6 Quadratic Formula; Discriminant<br />

5.7 Quadratic Inequalities<br />

5.8 Modeling with Quadratic Functions<br />

1 day<br />

2 days<br />

2 days<br />

1 day<br />

2 days<br />

1 day<br />

1 day<br />

1 day<br />

2.06 Cubic Equations<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

Chapter 6 Polynomials & Polynomial<br />

Functions<br />

6.1 Properties of Exponents<br />

6.2 Evaluating/Graphing Polynomial Functions<br />

6.3 +, -, x, Polynomials<br />

6.4 Factoring/Solving Polynomial Equations<br />

6.5 Remainder & Factor Theorems<br />

6.6 Finding Rational Zeros<br />

1 day<br />

1 day<br />

1 day<br />

2 days<br />

1 day<br />

1 day (20 days)<br />

September 2007


<strong>Wayne</strong> <strong>County</strong> <strong>Public</strong> <strong>Schools</strong><br />

Suggested Timetable for <strong>Algebra</strong> 2 <strong>Standard</strong><br />

2 nd Nine Weeks Essential Questions should be incorporated into daily math activities in order to engage students in real life problem solving. Text: McDougal Littell <strong>Algebra</strong> 2: NC Edition ©2004<br />

Objective Chapter Section Days for Instruction<br />

2.06 Cubic Equations<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

2.04 Best-Fit Mathematical Models<br />

Chapter 6 Polynomials &<br />

Polynomial Functions<br />

6.7, 6.8 Fundamental Theorem of <strong>Algebra</strong>.<br />

Analyzing Graphs of Polynomial Functions<br />

6.9 Modeling<br />

1 day<br />

1 day<br />

1.01 Rational Exponents and Logarithms<br />

2.07 Radical Expressions<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

Chapter 7 Powers, Roots, and<br />

Radicals<br />

7.1 nth Roots; Rational Exponents<br />

7.2 Properties of Rational Exponents<br />

1 day<br />

1 day<br />

2.01 Composition and Inverse of<br />

Functions<br />

7.3 Power Functions; Function Operations<br />

7.4 Inverse Functions<br />

2 days<br />

1 day<br />

2.06 Cubic Equations<br />

2.07 Radical Expressions<br />

7.5 Square Root and Cube Root Functions<br />

1 day<br />

2.07 Radical Expressions<br />

7.6 Solving Radical Equations<br />

2 days<br />

1.05 Direct, Inverse, Combined, and<br />

Joint Variation<br />

Chapter 9 Rational Equations<br />

and Functions<br />

9.1 Inverse & Joint Variation<br />

1 day<br />

2.05 Rational Equations<br />

9.2, 9.3 Graphing Rational Functions<br />

2 days<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

2.05 Rational Equations<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions<br />

2.09 Equations of Parabolas and Circles<br />

2.03 Exponential Functions<br />

1.01 Rational Exponents and Logarithms<br />

2.03 Exponential Functions<br />

2.04 Best-Fit Mathematical Models<br />

Chapter 10 Quadratic Relations<br />

and Conic Sections<br />

Chapter 8 Exponential and<br />

Logarithmic Functions<br />

9.4 x, ÷, Rational Expressions<br />

9.5 +, - Rational Expressions; Complex Fractions<br />

9.6 Solving Rational Equations<br />

10.1-10.2 Distance & Midpoint; Parabolas<br />

10.3 Circles<br />

10.6 Graphing/Classifying (Parabolas & Circles Only)<br />

10.7 Solving Quadratic Systems<br />

(Parabolas & Circles Only)<br />

8.1, 8.2 Exponential Growth & Decay<br />

8.3 e<br />

8.4 Logarithmic Functions<br />

8.5 Properties of Logarithms<br />

8.6 Solve Exponential & Logarithmic Equations<br />

8.7 Modeling<br />

2 days<br />

2 days<br />

1 day (19 days)<br />

2 days<br />

2 days<br />

1 day<br />

1 day<br />

1 day<br />

1 day<br />

2 days<br />

2 days<br />

2 days<br />

1 day<br />

1.03 Operate with <strong>Algebra</strong>ic Expressions Chapter 12 Combinations & the 12.2 Combinations & the Binomial Theorem<br />

Binomial Theorem<br />

Midterm 1 day Final Exams 2 days The remaining days are for review and assessment.<br />

1 day (16 days)<br />

September 2007


Number & Operations<br />

The learner will perform operations<br />

with complex numbers, matrices, and<br />

polynomials.<br />

1.01 Simplify and perform<br />

operations with rational<br />

exponents and logarithms<br />

(common and natural) to<br />

solve problems.<br />

1.02 Define and compute with<br />

complex numbers.<br />

1.03 Operate with algebraic<br />

expressions (polynomial,<br />

rational, complex fractions)<br />

to solve problems.<br />

1.04 Operate with matrices to<br />

model and solve problems.<br />

1.05 Model and solve problems<br />

using direct, inverse,<br />

combined and joint variation.<br />

<strong>Wayne</strong> <strong>County</strong> <strong>Public</strong> <strong>Schools</strong><br />

<strong>Algebra</strong> 2-<strong>Standard</strong><br />

2003 NC Math <strong>Standard</strong> Course of Study<br />

<strong>Algebra</strong><br />

The learner will use relations and functions to solve problems.<br />

2.01 Use the composition and inverse of functions to model and solve problems; justify results.<br />

2.02 Use quadratic functions and inequalities to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the constants and coefficients in the context of the problem.<br />

2.03 Use exponential functions to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the constants, coefficients, and bases in the context of the problem.<br />

2.04 Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve<br />

problems involving sets of data.<br />

a) Interpret the constants, coefficients, and bases in the context of the data.<br />

b) Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or<br />

make predictions.<br />

2.05 Use rational equations to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the constants and coefficients in the context of the problem.<br />

c) Identify the asymptotes and intercepts graphically and algebraically.<br />

2.06 Use cubic equations to model and solve problems.<br />

a) Solve using tables and graphs.<br />

b) Interpret constants and coefficients in the context of the problem.<br />

2.07 Use equations with radical expressions to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the degree, constants, and coefficients in the context of the problem.<br />

2.08 Use equations and inequalities with absolute value to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the constants and coefficients in the context of the problem.<br />

2.09 Use the equations of parabolas and circles to model and solve problems; justify results.<br />

a) Solve using tables, graphs, and algebraic properties.<br />

b) Interpret the constants and coefficients in the context of the problem.<br />

2.10 Use systems of two or more equations or inequalities to model and solve problems; justify results.<br />

Solve using tables, graphs, matrix operations, and algebraic properties.<br />

September 2007

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