Algebra Objectives by K6p19B


									                                         Algebra Objectives
I. Basics of Algebra
The student will be able to:
    1. Add, subtract, multiply, and divide positive and negative numbers, including rational numbers.
       (This might be evaluating a numeric expression or evaluating an algebraic expression with
    2. Write algebraic expressions.
    3. Use the distributive property, add like terms, and simplify expressions with parentheses.
    4. Solve equations. (Specific types of equations are listed in the Step by Step Review.)

II. Fundamentals of Applied Algebra
The student will be able to:
     5. Solve percent problems.
     6. Use the Solve an Equation problem-solving strategy to solve problems.
     7. Given real world information involving rates, solve problems. That is, answer questions
        involving rates. Specific techniques for solving rate problems include: (a) Finding rates (by
        dividing), (b) Setting up a proportion, (c) Multiplying rates and amounts, (d) Multiplying rates
        to get a rate, (e) Dividing rates or using the reciprocal of a rate, (f) Using a combination of the
     8. Generate examples of rates from real-world contexts and generate example word problems
        from real-world contexts.

III. Algebraic Modeling
The student will be able to:
     9. Given real world information and a formula, evaluate.
     10. Determine inputs and outputs of a function from an equation (“formula”), table, graph, or
     11. Given real world information, in words, create a model. That is, create a model which includes
         3 parts: (a) definition of the input variable, (b) definition of the output variable, (c) equation
         (function) relating the two variables.
     12. Find maximum and minimum values of a function (using trace and table).
     13. Find rate of change from a formula or table.
     14. Find initial and limiting values of a function.
     15. Given two points, find the slope of the line through the points.
     16. Use a model to answer questions. Including:
             a. Interpret the slope.
             b. Interpret the y-intercept.
             c. Find and interpret the x-intercept(s).
             d. Given an output (y) value, find the input (x) value.
     17. Given real world information, create a linear model [with 3 parts as above].
     18. Use regression to create a linear model [with 3 parts as above] from data.
     19. Given real world information, create an exponential model [with 3 parts as above].
     20. Use regression to create an exponential model from data.
Evaluate (an algebraic expression)   Exponential growth
Evaluate (a function)                Exponential model
Solve                                Rate of change
Integers                             Slope
Rational numbers                     y-intercept
Irrational numbers                   Initial value (of a function)
Linear growth                        Limiting value (of a function)
Linear model

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