MA0298 - ALGEBRA SKILLS SYLLABUS

Text: ALGEBRA I, An Incremental Development, Third Edition, Second Printing, John H. Saxon, Jr., Saxon Publishers, 1997.

LESSON TOPICS
1 Addition and subtraction of fractions and mixed numbers

4-7 Review of arithmetic, multiplication and division of fractions, unit multipliers, additive inverses (opposites)

8-11 Arithmetic of signed numbers, zero denominators, unit multipliers, commutative properties, reciprocals, order of operations

12-14 Symbols of inclusion, more on order of operations, products of signed numbers, evaluation of algebraic expressions

16-18 Factors, coeffieients, distributive property, addition of like terms

19-21 Exponents (powers), roots, properties of exponents

22-24 Equations and their solutions, properties of equality

25-28 Solving equations

29-31 Non-positive exponents, algebraic phrases

32-34 Equations with parentheses, word problems, prime factors

34-36 Greatest common factor, factoring, reducing rational expressions

40-42 Properties of exponents, distributive law, like terms, solving multivariable equations

43-44 Least common multiples, addition of rational expressions

47-48 Addition of rational expressions, percents

49-50 Addition and multiplication of polynomials, Cartesian system

51-52 Rectangular coordinates and graphs of linear equations, overall (weighted) average

53-55 Power rule for exponents, unit multipliers - volume, solving simultaneous equations by substitution, complex rational expressions

57-59 Addition of terms with negative exponents, percent word problems, rearranging before substitution

62-63 Percent word problems, rearranging before substitution

62-63 Roots, products of square roots

65-66 Addition of rational expressions, simplifying radicals

67-69 Elimination, complex rational expressions, factoring trinomials

71-72 Subscripted variables, difference of two squares

75-76 Writing the equation of a line, slope-intercept method of graphing ON GRAPH PAPER WITH POINTS LABELED IN EACH QUADRANT THE LINE PASSES THROUGH, consecutive integers

77-79 Word problems, rational equations, subscripted variables

81, 83-84 Solving systems of equations by graphing, coin problems, multiplication of radicals

88-89 Solving quadratic equations, value problems

90, 93 Word problems, products and quotients of rational expressions

101-104 Factorable denominators, abstract rational equations

112, 119 Multiplication of radical expressions, the quadratic formula