REGULAR ALGEBRA 1 COURSE MAPPING-2006-2007

Instructor: Mrs. Mooers

1st Semester-August / September / October                                                                

Fraction  - Decimal Review                                                                                                    

Chapter 1 Concepts:                                                                Chapter 2 Concepts:

Add, Subtract, Multiply, and                                                    Real Numbers 

    Divide Fractions and Decimals                                            Opposites and Absolute Value

Algebraic Expression                                                               Mixed Operations       

Order of Operation                                                                  Like Terms:  Real Number

Exponents                                                                                            Coefficients                                         

Formulas from Geometry                                                         Removing Parentheses: 

Commutative, Associative & Distributive Property                       Negative Factors

Combining Like Terms                                                            Skills:

Solution Sets of Sentences                                                      The student will be able to

Skills:                                                                                       -graph a point on the number line.

The student will be able to                                                      -compare real numbers.

-add, subtract, multiply, and divide decimals and fractions.   -simplify expressions involving opposites

-evaluate algebraic expressions for given values of the variables.         and absolute value.        

- write algebraic expressions for word descriptions.               -add, subtract, multiply, and divide real              

-simplify numerical expressions by using the rules for                numbers.

    order of operation.                                                              -simplify numerical expressions.

-simplify and evaluate expressions containing exponents.     -simplify and evaluate expressions by

-use perimeter, area, and volume formulas.                               combining like terms.

-use the Commutative, Associative, and                                  -simplify and evaluate expressions

    Distributive Properties                                                             containing negative factors.

-simplify expressions by combining like terms.                      

-find the solution set of an open sentence.                             

                                                                                               

Chapter 3 Concepts                                                                 Chapter 4 Concepts:

Solving Equations by                                                               Translating English to Algebra

    Adding, Subtracting,                                                            Problem Solving:  Two or More Numbers

    Multiplying, or Dividing                                                       Problem Solving:  Consecutive Integer Using Two Properties of                                                                               Problems

    Equality                                                                               Problem Solving:  Perimeter and

Equations with Variables on                                                        Angle Measure.      

    Both Sides                                                                           Solve equations with Fractions,

Equations with Parentheses                                                       and Equations with Decimals

Problem Solving Using                                                            Percent Problems

    Formulas                                                                             Skills:

Skills:                                                                                       The student will be able to

The student will be able to                                                      -represent two or more numbers in terms of -solve equations by using the Addition,                                                 one variable, given the relationship

    Subtraction, Multiplication, or Division                                    between the numbers.  

    Properties of Equality.                                                         -solve problems involving two or more two   

-solve equations by using properties of equality.                        numbers.

-solve equations that contain fractions.                                   -solve problems involving consecutive

-solve equations with variables on both                                       integers.

    sides.                                                                                   -solve problems about perimeter.

-solve equations that contain                                                   -solve problems about angle measure.

    parentheses.                                                                        -solve equations that contain decimals.

-solve problems that involve formulas.                                    -solve problems about sales

                                                                                                    tax, profit, discount, and commission.

November / December                                                                                                                                                                

Chapter 5 Concepts:                                                                Chapter 6 Concepts:

Addition, Subtraction, Multiplication, and                               Multiplying & Dividing Monomials

    Division Properties of Inequality                                          Powers of Monomials

Conjunction and Disjunctions                                                  Negative Exponents

Combining Inequalities                                                           Scientific Notation

Equations with Absolute Value                                                Simplifying Polynomials

Inequalities with Absolute Value                                             Addition and Subtraction of Polynomials

Skills:                                                                                       Multiplying a Polynomial by a Monomial

The student will be able to                                                      Multiplying Binomials 

-solve and graph the solution set of an inequality by              Special Products

using the Addition, Subtraction, Multiplication, or                  Skills:

    Division Properties of Inequality.                                         The student will be able to

-determine whether a conjunction or a disjunction                 -multiply monomials.

    is true or false.                                                                     -simplify a power of a power &

-graph the solution sets of conjunctions and                           a power of a product.

    disjunctions of inequalities.                                                 -simplify expressions with integral exponents.

-solve problems by using inequalities.                                    -evaluate monomials with integral exponents.

-solve equations containing absolute value.                           -convert ordinary notation to scientific notation

-graph solutions sets of inequalities containing                       and vice versa.

     absolute value.                                                                   -classify polynomials according to the # of

                                                                                                terms.

                                                                                                            -simplify a polynomial and determine its degree.

                                                                                                -write polynomial in ascending and descending

                                                                                                                 order.

                                                                                                -add and subtract polynomials.

                                                                                                -multiply a polynomial by a monomial.

                                                                                                -multiply two binomials.

                                                                                                -multiply a trinomial by a binomial.

                                                                                                -square a binomial.

                                                                                                -find products of the form (a+b)(a-b).

                                                                                               

Assessment:                                                                             Technology:                                        

Homework Assignments                                                          Operations on Calculator & Intranet

Weekly Tests & Quizzes                                                          

Hand-In Assignments                                                              

Midterm Exam

                                                                                               

 

 

 

Continued…

 

 

 

 

2nd Semester-January                                                              February                                             

Chapter 7 Concepts:                                                                Chapter 8 Concepts:

Introduction to Factoring                                                         Simplifying Rational Expressions &

Greatest Common Monomial Factor                                        Using the Convenient Form

Factoring Trinomials                                                               Multiplying Rational Expressions

Two Special Cases of Factoring                                              Dividing Rational Expressions

Combined Types of Factoring                                                  Adding and Subtracting: Like Denominators

Solving Quadratic Equations by Factoring                              Adding and Subtracting: Unlike Denominators

Standard Form of a Quadratic Equation                                  Adding and Subtracting: Polynomial

Problem Solving: Using Quadratic Equations                                      Denominators

Skills:                                                                                       Dividing Polynomials

The student will be able to                                                      Complex Rational Expressions

-find the greatest monomial factor (GCF) of two or                  Skills:

more integers.                                                             The student will be able to

-find the greatest monomial factor (GCF) of two or                  - Simplify Rational Expressions.

more monomials.                                                        - Multiply Rational Expressions.

-find the missing factor, given a monomial and one               - Divide Rational Expressions.

of its factors.                                                                - Add and Subtract: Like Denominators.

-factor out the greatest common monomial factor                   - Add and Subtract: Unlike Denominators

from a polynomial.                                                      - Add and Subtract: Polynomial

-factor trinomials.                                                                        With Denominators

-factor the difference of two squares.                                      - Divide Polynomials

-factor polynomials completely.                                              - Simplify Complex Rational Expressions

-factor polynomials by grouping terms.                                  

-solve quadratic equations by factoring.                                 

-solve cubic equations by factoring.

-write a quadratic equation in standard form.

-solve word problems involving quadratic equations.

-solve consecutive integer problems involving quadratic

equations.

-solving area problems involving quadratic equations.

 

 

 

 

 

 

 

 

 

 

 

Continued…

 

 

 

 

 

 

 

 

 

March                                                                                      April / May                                          

Chapter 9 Concepts:                                                                Chapter 12 Concepts:

Applying Rational Expressions                                                Systems of linear equations

Rational equations                                                                  Substitution method

Ratios and Proportions                                                            Addition method

Literal Equations                                                                     Multiplication with addition method

Skills:                                                                                       Skills:  

The student will be able to                                                      The student will be able to

-solve equations containing rational expressions                    -solve systems of equations using the

-solve proportions                                                                        substitution method

-solve a literal equation or formula for on of                           -solve systems of equations using the

    its variables                                                                             addition method

-evaluate a formula for one of its variables, given                  -explain why a given system cannot be

    the value(s) of its other variables                                             solved using a given method

                                                                                                -solve systems of equations using

Chapter 10 Concepts:                                                                    multiplication with addition

Graphing a linear equation

Skills:                                                                                       Chapter 14 Concepts:

The student will be able to                                                      Quadratic Equations

-graph a linear equation                                                          quadratic formula

determine whether a relation is a function by                         Choosing a method of solution

   vertical line test                                                                    Skills:

                                                                                                The student will be able to

Chapter 11 Concepts:                                                               -solve quadratic equations by using the

Analytic Geometry                                                                       quadratic formula

Slope of a line                                                                         -solve quadratic equations using the most

Equation of a line: Point-Slope Form                                          appropriate method-excluding

Equation of a line: Slope-Intercept Form                                     (complete the square method)

Skills:

The student will be able to

-find the slope of a line

-write an equation of a line, given a point on the                   Review for Final Exam

    line and its slope

-write an equation of a line, given two points on the line

-write an equation of a line, given a table or a graph

-write an equation of a line, given its slope and

    y-intercept

-find the slope and y-intercept of a line, given its

    equation

-graph a line using its slope and y-intercept or both

    of its intercepts

write the slope-intercept from of an equation of a line,

    given its graph

 

Assessment:                                                                 Technology:                                        

Homework Assignments                                              Operations on Calculator & Intranet

Weekly Tests & Quizzes

Hand-In Assignments

Final Exam

 

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E-mail-mailto:cmooers@rabungap.org