• Algebra 2 

    Description of Course

    Algebra 2 is a college preparatory course that uses problem solving to practice, investigate, and understand the second level of Algebra skills. This course is divided into two quarters and aligned to rigorous AZCCRS and national standards .This course incudes but not limited to  mathematical concepts of linear relations and functions, quadratic, polynomial, and radical functions and relations, advanced functions and relations it includes exponential and logarithmic functions and relations, rational functions and relations and conic sections, sequences and series.

    Materials you need daily:

    ·         3-Ring Binder

    ·         Spiral Notebook

    ·         Lined Paper, Graph Paper

    ·         Pencils, erasers or pens

    ·          Calculator any one of these  83+, TI 84, TI-89, or TI-Nspire CAS

    Grading:

     Overall grading

    Quarter 1 ­– ½  Credit

    Quarter  2 – ½ Credit

    Quarter Grade Breakdown

    Assignments            -        20%

    Quizzes /Weekly Test -         30%

    Test (mid-term and final) -   50%

     Structure

    The structure will include sketch pad, large lecture, power point presentation, explanations through videos, and practicing concept and student participation.

    Objectives for Course.

    Quarter 1

    o   Use the properties of real numbers to evaluate expressions and formulas.

    o    Classify real numbers.

    o    Use the properties of equality to solve equations.

    o    Solve absolute value equations.

    o    Solve inequalities, compound inequalities, and absolute value inequalities.

    o    Identify domains and ranges for given situations.

    o    Determine intercepts of the graphs of linear functions.

    o    Determine slopes from graphs, tables, and algebraic representations.

    o    Graph and write equations of lines.

    o    Use data to determine functional relationships between quantities.

    o    Formulate linear inequalities to solve problems and investigate methods for solving them.

    o    Graph equations of lines.

    o    Transform and solve equations analyze situations and formulate systems of equations in two or more unknowns to solve problems.

    o    Use algebraic methods, graphs, or tables to solve systems of equations or inequalities.

    o    Interpret and determine the reasonableness of solutions to systems of equations for given contexts.

    o    Determine reasonable domain and range values of quadratic functions.

    o    Analyze situations involving quadratic functions and formulate quadratic equations and inequalities to solve problems.

    o    Solve quadratic equations and inequalities using graphs, tables, and algebraic methods, including the Quadratic Formula.

    o    Use complex numbers to describe the solutions of quadratic equations.

    o    Determine a quadratic function from its zeros.

    o    Identify and sketch graphs of parent functions, including quadratic functions.

    o    Use the parent function to investigate, describe, and predict the effects of changes in a, h, and k on the graphs of the y = a(x – h)2 + k form of a function.

    Quarter 2

     
    o  Use tools including factoring and properties of exponents to simplify expressions and to transform and solve equations.

     

    o   Identify the mathematical domains and ranges of functions.

    o   Determine the reasonable domain and range values for continuous situations.

    o   Relate representations of square root functions.

    o   Connect inverses of square root functions with quadratic functions.

    o   Determine solutions of square root equations and inequalities using graphs, tables, and  algebraic methods.

    o   Determine the reasonable domain and range values of square root functions, and interpret and determine the reasonableness of         solutions to square root equations and inequalities.

    o   Use the parent function to investigate, describe, and predict the effects of parameter changes on graphs of square root functions and     describe limitations on the domains and ranges.

    o   Analyze a situation modeled by an exponential function, formulate an equation or inequality, and solve the problem.

    o   Develop the definition of logarithms by exploring and describing the relationships between exponential functions and their inverses.

    o   Use parent functions to investigate, describe, and predict the effects of parameter changes on the graphs of exponential and                 logarithmic functions, describe limitations on the domains and ranges, and examine asymptotic behavior.

    o   Determine solutions of exponential and logarithmic equations using graphs, tables, and algebraic methods.

    o   Interpret and determine the reasonableness of solutions to exponential and logarithmic equations and inequalities.

    o   Determine properties of reciprocal functions and graph their transformations.

    o   Use quotients of polynomials to describe the graphs of rational functions, describe limitations on the domains and ranges, and               examine asymptotic behavior.

    o   Determine the reasonable domain and range values of rational functions and determine the reasonableness of solutions to rational         equations and inequalities.

    o   Analyze a situation modeled by a rational function, formulate an equation composed of a
        linear or quadratic function, and solve the problem.

    o   Use functions to model and make predictions in problem situations involving direct and     
         inverse variation.