Benchmark/Topics

As a result of studying Algebra I, I will be able to:

(1) Real Number System

·         Sets of Numbers

·         Properties/Identities

·         Order of Operations

2.1.1 Demonstrate an understanding of the real number system when I can

o      Classify real numbers as rational, irrational, integer, whole and/or natural

o      Apply and identify algebraic properties and identities of the real number system

o      Evaluate expressions using the order of operations

(2) Word Problems and Strategies

·         Incorporate throughout

1.1.2 Demonstrate an understanding of word problems and  strategies when I can

o      Recognize and formulate problems from situations within and outside mathematics and apply solution strategies to those problems

(3) Solving Linear Equations

·         Fractional Coefficients

·         Decimal Coefficients

3.3.3  Utilize algebraic methods to

o      Solve linear equations including those with fractional and decimal coefficients

(4) Solving and Graphing Inequalities

·         Linear

·         Compound

3.3.4  Utilize algebraic methods to

o      Solve and graph linear inequalities

o      Solve and graph compound inequalities

(5) Introduction to Solving and Graphing Absolute Values

·         Equations

·         Inequalities

3.0.5  Show understanding of absolute value when I can

o      Solve introductory absolute value equations

o      Solve introductory absolute value inequalities

o      Graph introductory absolute value equations

o      Graph introductory absolute value inequalities

(6) Exponents and Polynomials

·         Simplify

·         Basic Operations

·         Rules of Exponents

3.2.6  Show understanding of exponents and polynomials when I can

o      Simplify algebraic expressions

o      Perform basic operations on polynomials

o      Apply the rules of exponents

(7)  Factoring

·         GCF

·         Trinomials

·         Difference of Squares

·         Grouping

3.2.7  Factor polynomials completely using the following methods:

o      Greatest Common Factor

o      Trinomials factored into binomial factors

o      Difference of Squares

o      Grouping

(8)  Introduction to Rational Expressions & Equations

·         Basic Operations

·         Simplify

·         Solve

3.0.8  Show understanding of rational expressions when I can

o      Perform basic operations (add, subtract, multiply, divide) on rational expressions

o      Simplify rational expressions

o      Solve basic rational equations

(9)  Graphs and Linear Equations

•   Slope

•   Plotting Points

·         x-  and y-intercepts

·         Parallel and Perpendicular

·         Writing Equations

·         Standard/General Form

·         Slope-intercept Form

·         Point-slope Form

·         Line of Best Fit from Data

7.1.9  Demonstrate knowledge of linear equations and their graphs by

o      Determining the slope given two points or a graph

o      Recognizing parallel and perpendicular relationships

o      Using the following methods to graph

o      plotting points

o      x-intercept and y-intercept

o      slope and y-intercept

o      writing equations in the following forms

o      Standard/general

o      Slope-intercept

o      Point-slope

o      modeling data using the line of best fit

(10)  Solving Systems (2 Equations 2 Unknowns)

·         Graphing

·         Substitution

·         Elimination (Add/Subtract or Linear Combinations)

3.4.10  Solve systems of equations containing two variables using the following methods:

o      Graphing

o      Substitution

o      Elimination (Add/Subtract or Linear Combinations)

(11)  Introduction to Radicals

·         Basic Operation

·         Simplify

·         Rationalize (monomial denominators)

3.2.11 Show understanding of radicals when I can

o      Perform basic operations (add, subtract, multiply, divide) with radicals

o      Simplify radicals

o      Rationalize monomial denominators

(12)  Quadratic Equations

·         Solving using Factoring

·         Solve using Completing the square

·         Solve using Quadratic Formula

3.3.12  Utilize the following methods to solve quadratic equations:

o      Factoring

o      Completing the square

o      Quadratic formula

(13)  Introduction to Probability

·         Experimental

·         Theoretical

·         Tree Diagrams

·         Expected Values

6.4.13  Show understanding of basic probability when I can

o      Perform simulations to find experimental probabilities

o      Calculate theoretical probabilities

o      Draw tree diagrams

o      Calculate expected values