Algebra 2 Standard Pacing Guide - Wayne County Public Schools
Algebra 2 Standard Pacing Guide - Wayne County Public Schools
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