Enrichment - Grade 9-10 Math: Algebra II 班

Posted Mon, 05/11/2009 - 01:26 by admin
Start Time: 
11:30 AM
End Time: 
12:50 PM
Location: 
NSC #124

Textbook: Schuam's College Algebra
Advanced Algebra - Grade 9 or 10 and have to completed Algebra I and Geometry
适合已修完代数1和几何9、10年级学生

  • 学生在完成初等代数和几何的学习后，进入到更高一级的的代数加强班。
  • 该课重点学习中级代数为学习高等代数打下良好基础。此课包括所有中等代数必须学的知识，还会通过解应用，证明题，反复大量的解计算题来提高学生的水平，
  • 此课还包括一些排列组合的知识。
  • The Advanced Algebra class is for students who have completed the Algebra I and Geometry classes.
  • The class covers all the information students must know to succeed in an Algebra II class. By working on problem solving and writing proofs, students will increase their understanding of Algebra and problem solving.
  • This class also includes some basic knowledge of permutation and combination.

 

Math Algebra 2 Class Outline:

Chapter1: Equations and Inequalities

Apply Properties of Real Numbers (Will be in Precalculus in more depth)

  • Evaluate and Simplify Algebraic Expressions
  • Solve Linear Equations
  • Rewrite Formulas and Equations
  • Use Problem Solving Strategies and Models
  • Solve Linear Inequalities
  • Solve Absolute Value Equations and Inequalities

Chapter 2: Linear Equations and Functions (Will be in Precalculus in more depth)

  • Represent Relations and Functions
  • Find Slope and Rate of Change
  • Graph Equations of Lines
  • Write Equations of Lines
  • Model Direct Variation

Chapter3 Linear Systems and Matrices (Will be in Precalculus in more depth)

  • Solve Linear Systems by Graphing
  • Solve Linear Systems Algebraically
  • Graph Systems of Linear Inequalities
  • Solve Systems of Linear Equations in Three Variables
  • Perform Basic Matrix Operations
  • Multiply Matrices
  • Evaluate Determinants and apply Cramer’s Rule
  • Use Inverse Matrices to Solve Linear System

Chapter4 Quadratic Functions and Factoring (Will be in Precalculus in more depth)

  • Graph Quadratic Functions in Standard Form
  • Graph Quadratic Functions in Vertex or intercept Form
  • Solve x2 + bx + c = 0
  • Solve ax2 +bx + c = 0 by Factoring
  • Solve Quadratic Equations by Finding Square Roots
  • Perform Operations with Complex Numbers
  • Complete the Square
  • Use the Quadratic Formula and the Discriminat
  • Graph and Solve Quadratic Inequalities
  • Write Quadratic Functions and Models

Chapter 5 Polynomials and Polynomial Functions (Will be in Precalculus in more depth)

  • Use Properties of Exponents
  • Evaluate and Graph Polynomial Functions
  • Add, Subtract , and Multiply Polynomials
  • Factor and Solve Polynomial Equations
  • Apply the Remainder and Factor Theorems
  • Find Rational Zeros
  • Apply the Fundamental Theorem of Algebra
  • Analyze Graphs of Polynomial Functions
  • Write Polynomial Functions and Models

Chapter 6 Rational Exponents and Radical Functions (Will be in Precalculus in more depth)

  • Evaluate nth Roots and Use Rational Exponents
  • Apply Properties of Rational Exponents
  • Perform Function Operations and Composition
  • Use Inverse Functions
  • Graph Square Root and Cube Root Functions
  • Solve Radical Equations

Chapter 7 Exponential and Logarithmic Functions (Will be in Precalculus in more depth)

  • 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 Logarithms Equations
  • Write and Apply Exponential and Power Functions

Chapter 8 Rational Functions (Will be in Precalculus in more depth)

  • Model Inverse and Joint Variation
  • Graph Simple Rational Functions
  • Graph General Rational Functions
  • Multiply and Divide Rational Expressions
  • Add and Subtract Rational Expressions
  • Solve Rational Equations

Chapter 9 Quadratic Relations and Conic Sections (Will be in Precalculus in more depth)

  • Apply the Distance and Midpoint Formulas
  • Graph and Write Equations of Parabolas
  • Graph and Write Equations of Circles
  • Graph and Write Equations of Ellipses
  • Graph and Write Equations of Ellipses
  • Graph and Write Equations of Hyperbolas
  • Translate and Classify Conic Sections
  • Solve Quadratic Systems

Chapter 10 Counting Methods and Probability

  • Apply the Counting Principle and Permutations
  • Use Combinations and the Binomial Theorem
  • Define and Use Probability
  • Find Probabilities of Disjoint and Overlapping Events
  • Find Probabilities of Independent and Dependent Events
  • Construct and Interpret Binomial Distributions

Chapter 11 Data Analysis and Statistics

  • Find Measures of Central Tendency and Dispersion
  • Apply Transformations to Data
  • Use Normal Distributions
  • Select and Draw Conclusions from Samples
  • Choose the Best Model for Two-Variable Data

Chapter 12 Sequences and Series

  • Define and use sequences and series
  • Analyze Arithmetic Sequences and Series
  • Find Sums of infinite Geometric Series
  • Use Recursive Rules with Sequences and Functions

Chapter 13 Trigonometric Ratios and Functions (Will be In Precalculus with more Depth)

  • Use Trigonometry with Right Triangles
  • Define General Angles and Use Radian Measure
  • Evaluate Trigonometric Functions of Any Angle
  • Evaluate Inverse Trigonometric Functions
  • Apply the Law of Sines
  • Apply the Law of Cosines

Chapter 14 Trigonometric Graphs, Identities, and Equations (Will be in Precalculus in more depth)

  • Graph Sine, Cosine, and Tangent Functions
  • Translate and Reflect Trigonometric Graphs
  • Verify Trigonometric Identities
  • Solve Trigonometric Equations
  • Write Trigonometric Functions and Models
  • Apply Sun and Difference Formulas
  • Apply Double –Angle and Half-Angle Formulas