ModuMath Algebra Series Parts 1-3
| Series
Information |
Curricular
Areas:
Mathematics/Algebra |
| Length:
32/20-30-Minute Programs |
| Grade
Levels: 7-12 |
| Teacher's Guide see below |
Scholastic ETV Consortium |
This Algebra series, presented in three parts, is appropriate
for grades 7-12 and will assist the Math teacher in building strong curriculum
and lesson plans for the algebra classroom.
Episode Descriptions
Part 1
1 Getting Acquainted with Algebra — Translating
words into the language of algebra; evaluating algebraic expressions;
evaluating formulas and other expressions. (19:30) Study
Guide
2 Order of Operations — Standard order of operations
for simplifying and evaluating algebraic expressions; simplifying and
evaluating numerical and algebraic expressions that contain parentheses.
(25:42) Study
Guide
3 Adding and Subtracting Algebraic Expressions — Identifying
the terms in algebraic expressions; identifying like terms in algebraic
expressions; adding and subtracting algebraic expressions; identifying
the special kinds of polynomials called monomials, binomials and trinomials.
(27:40) Study
Guide
4 Multiplying Polynomials — Multiplying any two polynomials;
applying the FOIL method as a shortcut in multiplying two binomials; using
formulas to obtain special products of the form (a+b)2 and (a+b)(a-b).
(27:48) Study
Guide
5 The Laws of Algebra — Recognizing and using five basic laws
of algebra: Commutative Law for Addition, Commutative Law for Multiplication,
Associative Law for Addition, Associative Law for Multiplication and the
Distributive Law of Multiplication Over Addition. (18:55)Study
Guide
6 Solving Equations I — Recognizing the identities and inverses
for addition and for multiplication; applying these in the solving of
simple equations. (21:00) Study
Guide
7 Solving Equations II — Lesson 7 Solving Equations ll: Further
solving of simple equations; several helpful strategies and handy short-cuts;
literal equations. (23:00) Study
Guide
8 Using Equations to Solve Problems — Variety of different
word problems; guidelines for solving these problems; how to use tables
and diagrams.(24:50) Study
Guide
9 Solving Practical Problems — How to solve rate, mixture,
interest and coin problems. (28:45) Study
Guide
10 Inequalities — Using inequality symbols in algebraic statements;
compound inequalities; solving inequality problems.
(29:24) Study
Guide
Part 2
11 Linear Equations and Graphs I — Introduction
to graphing; graphing linear equations with two variables; graphing equations
for horizontal and vertical lines. (29:00)Study
Guide
12 Linear Equations and Graphs II — Finding the slope of a
line from a graph; using the slope formula; slopes of vertical and horizontal
lines. (28:00) Study
Guide
13 Linear Equations and Graphs III — Writing equations in
slope-intercept form; using equations to find the slope and the y-intercept;
parallel lines. (29:00) Study
Guide
14 Linear Equations and Graphs IV — Writing an equation for
a line when given the slope and a point, two points, or the graph. (28:00) Study
Guide
15 Systems of Equations I — Solving systems of equations by
graphing and by substitution. (29:00) Study
Guide
16 Systems of Equations II — Solving systems of equations
by elimination; solving systems of equations having fractions; systems
of parallel lines. (30:00) Study
Guide
17 Systems of Equations III — Variety of problems using systems:
number problems, money problems, mixture problems and problems using the
distance formula. (30:00) Study
Guide
18 Systems of Equations IV — Strategies for solving problems
with single variable equations or with systems of equations. (28:00) Study
Guide
19 Algebra: Exponents — Laws of exponents; negative exponents.
(29:00) Study
Guide
Part 3
20 Factoring I — Finding the greatest common
factor; factoring monomials and binomials. (30:00)
Study
Guide
21 Factoring II — Polynomials with a common factor; factoring
by grouping; the difference of two squares; perfect square trinomials.
(28:00) Study
Guide
22 Factoring III — Factoring quadratic trinomials and other
trinomials with higher degree exponents.(28:00)
Study
Guide
23 Roots and Radicals I — Finding roots and simplifying radicals;
adding and multiplying radical expressions; rationalizing the denominator.(28:00) Study
Guide
24 Roots and Radicals II — Solving radical equations.(29:00) Study
Guide
25 Quadratic Equations I — Solving quadratic equations by
factoring; the quadratic formula. (30:00) Study
Guide
26 Quadratic Equations II — Using quadratic equations to solve
word problems. (29:00) Study
Guide
27 Rational Expressions I — Multiplying and dividing
rational expressions. (30:00) Study
Guide
28 Rational Expressions II — Adding and subtracting rational
expressions. (29:00) Study
Guide
29 Rational Expressions III — Solving equations containing
rational expressions. (29:00) Study
Guide
30 Rational Expressions IV — Applications of rational equations;
solving word problems about proportion, work and rate-time-distance. (29:00) Study
Guide
31 The Pythagorean Theorem and other Formulas — Pythagorean
theorem; using the distance formula.(30:00) Study
Guide
32 Proportion and Variation — Using ratios, proportions, direct
variation and inverse variation. (30:00) Study
Guide
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