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    General Course Information

     

    Pre-requisites

    None

    Course Description

    The course will build comprehensive mathematical knowledge base that the students will use to move on to higher-level mathematics. The course will provide lessons to meet the standards on Operations on Numbers and Expressions, Algebraic Expressions, Linear Relationships, Linear Equations and Inequalities, Non-Linear Relationships and Equations, and Data, Statistics and Probability using the investigative approach. Appropriate technology will be used on all lessons.

    Learning Outcomes

    Students will be able to make sense of important algebraic concepts, learn essential skills, and discover how to use algebra in real life situations.

    Required Text & Learning Resources

    Discovering Algebra An Investigative Approach by Murdock, Kamischke, and Kamischke

    TI-NSpire calculator

     

    Assignments & Academic Calendar

     

    Data Exploration

    Bar Graphs and Dot Plots

    Summarizing Data with Measures of Center

    Five-Number Summaries and Box Plots

    Histograms and Stem-and-leaf Plots

    Activity Day: Exploring a Conjecture

    Two-Variable Data

    Estimating

    Using Matrices to organize and Combine Data

                Quizzes and Test

    Proportional Reasoning and Variation

    Proportions

    Capture-Recapture

    Proportions and Measurement Systems

    Direct Variation

    Inverse Variation

    Activity Day: Variation with a Bicycle

    Evaluating Expressions

    Undoing Operations

                Quizzes and Test

    Linear Equations

    Recursive Sequences

    Linear Plots

    Time-Distance Relationships

    Linear Equations and the Intercept Form

    Linear Equations and Rate of Change

    Solving Equations Using the Balancing Method

    Activity Day: Modeling Data

                Quizzes and Test

    Fitting a Line to Data

    A Formula for Slope

    Writing a Linear Equation to Fit Data

    Point-Slope Form of a Linear Equation

    Equivalent Algebraic Equations

    Writing Point-Slope Equations to Fit Data

    More on Modeling

    Applications of Modeling

    Activity Day: Data Collection and Modeling

                Quizzes and Test

    Systems of Equations and Inequalities

    Solving Systems of Equations

    Solving Systems of Equations Using Substitution

    Solving Systems of Equations Using Elimination

    Solving Systems of Equations Using Matrices

    Inequalities in One Variable

    Graphing Inequalities in Two Variables

    Systems of Inequalities

                Quizzes and Test

    Exponents and Exponential Models

    Recursive Routines

    Exponential Equations

    Multiplication and Exponents

    Scientific Notation for Large Numbers

    Looking Back with Exponents

    Zero and Negative Exponents

    Fitting Exponential Models to Data

    Activity Day: Decreasing Exponential Models and Half Life

                Quizzes and Test

    Functions

    Secret Codes

    Functions and Graphs

    Graphs of Real World Situations

    Function Notation

    Defining the Absolute Value Function

    Squares, Squaring, and Parabolas

                Quizzes and Test

    Introduction to Geometry

    Parallel and Perpendicular Lines

    Finding the Midpoint

    Squares, Right Triangles, and Areas

    The Pythagorean Theorem

    Operations with Roots

                Quizzes and Test

    Quadratic Models

    Solving Quadratic Equations

    Finding the Roots and the Vertex

    From Vertex to General Form

    Factored Form

    Activity Day: projectile Motion

    Completing the Square

    The Quadratic Formula

    Cubic Functions

                               Quizzes and Test

    Probability

    Probability Outcomes and Trials

    Counting Techniques

                               Quizzes and Test

    Exam Dates

    Time

    Mid-Term Examination – TBD

    Final Examination – TBD

     

    Course Policies

     

    Grading (credit) Criteria

                

                  Quarter Grades                                            Final Grade

    Value

    Category

    Value

    Category

    20%

    Class Work

    20%

    Quarter 1

    10%

    Notebook

    20%

    Quarter 2

    15%

    Homework

    10%

    Mid-Term Exam

    25%

    Quizzes

    20%

    Quarter 3

    30%

    Tests

    20%

    Quarter 4

     

     

    10%

    Final Exam

    Late Work

    Late work will not be accepted beyond the cut-off dates that will be established and posted throughout the quarter. All late work is subject to a grading penalty to be determined by the number of days past due an assignment is.

    Student Conduct and Discipline

    Each student will be assigned a textbook at the beginning of the year.  If the text book is not returned at the end of the year, the student will be responsible for paying a $70.95 book fine. In addition, each student will be assigned a graphing calculator to be used during class time.  If the calculator is lost or damaged during the class period, the student will be responsible for paying a $127.95 calculator fine. 

    Please refer also to the Student/Parent Handbook for further rules and procedures concerning students’ behavior.

    Academic Integrity

    Scholastic Dishonesty, any student who commits an act of scholastic dishonesty is subject to discipline.  Scholastic dishonesty includes but is not limited to cheating, plagiarism, and/or the submission for credit of any work or materials that are attributable in whole or in part to another person.  If any of the above mentioned action occurs, their will be an investigation by the academy administrator and appropriate disciplinary action will be taken.