• NORTH ALLEGHENY SCHOOL DISTRICT

     

                        MATHEMATICS DEPARTMENT

     

                     HONORS ALGEBRA 2 SYLLABUS

                        

                              COURSE NUMBER: 3202

     

     

     

     

     

     

     

     

     

     

     

     

    Units of Credit:  1                   

    Course Length: 184 days              

     

     

     

     


     

     Course Overview

    This is the third year of an honors mathematics sequence including Honors Algebra 1 and Honors Geometry.  The content of this course is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, and rational functions.  Students will also learn to model real-world situations using functions.  In addition to its algebra content, Honors Algebra 2 includes topics on probability and data analysis.

     

    Mathematics Department Curriculum Differentiation

    The Advanced/Honors Mathematics courses are intended to be more challenging than Academic courses and are designed to provide multiple opportunities for students to take an increased responsibility for their own learning and achievement.  These courses are designed for students who have demonstrated an advanced level achievement in mathematics. The curriculum is distinguished by a difference in rigor, relevance, and the quality of the work, not merely the quantity. The content of theses courses is rigorous in its breadth and depth of study.

     

    The key distinctions between Academic and Advanced/Honors curriculum at each level are:

    • Expectation of Performance:  Students in Advanced/Honors Mathematics courses will have different performance expectations.
    • Assignments:  The complex nature of Advanced/Honors Mathematics courses will have assignments that reflect the rigor of these courses.
    • Pacing Guides:  The pacing of instruction of the Advanced/Honors Mathematics courses will be accelerated to challenge the students enrolled in these courses.
    • Assessments:  The assessments of the Advanced/Honors Mathematics course will include cognitive and performance based tasks that will measure the students’ synthesis, application and analysis of the material.

     

    Textbook

     

    Larson, Boswell, Kanold, Stiff, Algebra 2, Illinois:  Houghton Mifflin Company, 2007.

     

    Course Outline

     

    The following topics are covered in Honors Algebra 2:

     

    Chapter 1:       Equations and Inequalities

    ·         Apply Properties of Real Numbers

    ·         Evaluate and Simplify Algebraic Expressions

    ·         Solve Linear Equations

    ·         Use Problem Solving Strategies and Models

    ·         Solve Linear Inequalities

    ·         Solve Absolute Value Equations and Inequalities

    Chapter 2:  Linear Equations and Functions

    ·         Represent Relations and Functions

    ·         Find Slope and Rate of Change

    ·         Graph Equations of Lines

    ·         Write Equations of Lines

    ·         Model Direct Variation

    ·         Draw Scatter Plots and Best-Fitting Lines

    ·         Use Absolute Value Functions and Transformations

    ·         Graph Linear Inequalities in Two Variables

     

    Chapter 3:       Linear Systems and Matrices

    ·         Solve Linear Systems by Graphing

    ·         Solve Linear Systems Algebraically

    ·         Graph Systems of Linear Inequalities

    ·         Solve Systems of Linear Equations in Three Variables

     

    Chapter 4:  Quadratic Functions and Factoring

    ·         Graph Quadratic Functions in Standard Form

    ·         Graph Quadratic Functions in Vertex or Intercept Form

    ·         Solve x² + bx + c = 0 by Factoring

    ·         Solve ax² + bx + c = 0 by Factoring

    ·         Solve Quadratic Equations by Finding Square Roots

    ·         Perform Operations with Complex Numbers

    ·         Complete the Square

    ·         Use Quadratic Formula and the Discriminant

     

    Chapter 5:  Polynomials and Polynomial Functions

    ·         Use Properties of Exponents

    ·         Evaluate and Graph Polynomial Functions

    ·         Add, Subtract, and Multiply Polynomials

    ·         Factor and Solve Polynomial Equations

     

    Common Assessment for Chapters 1 through 5

     

    Chapter 6:  Rational Exponents and Radical Functions

    ·         Evaluate nth Roots and Use Rational Exponents

    ·         Apply Properties of Rational Exponents

    ·         Perform Function Operations and Composition of Functions

    ·         Use Inverse Functions

    ·         Graph Square Root and Cube Root Functions

    ·         Solve Radical Equations

     

     

     

    Chapter 7:   Exponential and Logarithmic Functions

    ·         Graph Exponential Growth Functions

    ·         Graph Exponential Decay Functions

    ·         Use Functions Involving e

    ·         Evaluate Logarithms and Graph Logarithmic Functions

    ·         Apply Properties of Logarithms

    ·         Solve Exponential and Logarithmic Equations

     

    Chapter 8:       Rational Functions

    ·         Model Inverse and Joint Variation

    ·         Graph Simple Rational Functions

    ·         Graph General Rational Functions

    ·         Multiply and Divide Rational Functions

    ·         Add and Subtract Rational Functions

    ·         Solve Rational Equations

     

    Chapter 10:  Counting Methods and Probability

    ·         Apply Permutations and Combinations

    ·         Use Factorial Notation

     

     

     

    Chapter 12:     Sequences and Series

    ·         Define and Use Sequence and Series

    ·         Analyze Arithmetic Sequences and Series

    ·         Analyze Geometric Sequences and Series

     

    Common Math Assessment Chapters 6, 7, 8, 10, and 12

     

    Expected levels of student achievement

     

    Course grades will be determined by the collective point totals from assessments, homework, classroom projects/participation and standardized test preparation assignments.   It is expected that all students will participate in daily classroom activities and maintain a notebook.  Students must complete all assigned work and participate in class discussion.

     

    Technology description

     

    Students are expected to continue to grow in their use of technology.  Students are expected to obtain a graphics calculator.  We recommend purchasing from the Texas Instruments TI-84 family of calculators.  Students are expected to access online resources and grades. 

     

    Standardize Test Preparation

     

    The North Allegheny Mathematics Curriculum is designed to prepare students for standardized tests while meeting Pennsylvania State Mathematics Standards and Eligible Content.  The focus will be on numbers and operations, algebraic concepts, geometry, data analysis and probability, and measurement.  Students will be expected to complete Open Ended tasks throughout the course.  

     

     

     
Last Modified on September 17, 2012