Santa Monica College

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Santa Monica College

Mathematics Department Addendum

Math 84 – Prealgebra

Prerequisite Comparison Sheet – exit skills of Math 81 and entry skills for Math 84

Exit Skills for Math 81
Upon successful completion of Math 81, the student will be able to:
A. / Add, subtract, multiply, and divide whole numbers, fractions and decimals.
B. / Use correct mathematical vocabulary to read and write numerical expressions.
C. / Calculate whole number powers of positive rational numbers.
D. / Use the order of operations to simplify numerical expressions involving two or more operations.
E. / Reasonably estimate the answer to a numerical problem.
F. / Solve application problems (up to two steps).
G. / Solve ratio, proportion and percent problems.
H. / Find prime factorizations of whole numbers.
I. / Find the greatest common factor and least common multiple of two or more whole numbers.
J. / Convert between percent, decimal and fraction notation.
K. / Use inequality symbols to compare two or more positive rational numbers.
L. / Graph positive rational numbers on the number line.
M. / Use a ruler to measure in terms of the U.S. Customary (English) system and the metric system.

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Entry Skills for Math 84
Prior to enrolling in Math 84 students should be able to
1. / Add, subtract, multiply, and divide whole numbers, fractions and decimals.
2. / Use correct mathematical vocabulary to read and write numerical expressions
3. / Calculate whole number powers of positive rational numbers
4. / Use the order of operations to simplify numerical expressions involving two or more operations.
5. / Reasonably estimate the answer to a numerical problem
6. / Solve application problems (up to two steps).
7. / Solve ratio, proportion and percent problems
8. / Find prime factorizations of whole numbers
9. / Find the greatest common factor and least common multiple of two or more whole numbers.
10. / Convert between percent, decimal and fraction notation
11. / Use inequality symbols to compare two or more positive rational numbers.
12. / Graph positive rational numbers on the number line.
13. / Use a ruler to measure in terms of the U.S. Customary (English) system and the metric system.

Santa Monica College

Student Learning Outcomes

Date: Fall 2009

Course Name and Number: Math 84 Prealgebra

Student Learning Outcome(s):

·  Individual faculty members will develop and report on assessments for SLOs.

1. / Given an expression involving signed numbers (integers, fractions, decimals, powers) and grouping symbols, students will correctly evaluate the expression without the use of a calculator.
2. / Given an applied problem such as area, perimeter, volume, cost, revenue, percent, etc, students will formulate mathematical expression or equation to reflect the information given in the problem, determine the solution to the equation and interpret their results.

Demonstrate how this course supports/maps to at least one program and one institutional learning outcome. Please include all that apply:

1. / Program Outcome(s):
The student will demonstrate an appreciation and understanding of mathematics in order to develop creative and logical solutions to various abstract and practical problems.
As a result of using correct mathematical vocabulary and notation when translating phrases from English to mathematics, being able to read and analyze word problems. The student will be able to look at a mathematical situation, analyze critically, determine an appropriate strategy to address it and implement the strategy to find the solution.
2. / Institutional Outcome(s):
Students will Acquire the self-confidence and self-discipline to pursue their intellectual curiosities with integrity in both their personal and professional lives
Through independent and facilitated learning activities, students will acquire learning skills, and develop the self-confidence necessary to be successful in their math courses.

Textbook: Kennedy, John R., and Terry R. Green, Prealgebra for College Students, PWS-Kent, 1992

A Sample Schedule for Math 84

This schedule assumes a standard meeting schedule of 1hr 20min with 2 class meetings per week

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Required Supplement: Thinking Quantitatively- The Number Line and Measurement, by Claudia Allen

IC = In Class (Topics to incorporated with lecture from text) HW = Homework (Student works on section independently)

Day / Text Section/Activity / Day / Professor Allen’s Supplement /
1 / 1.4 Exponents
1.5 Order of Operations
2 / 1.6  Prime Numbers, Divisibility Tests,
Prime Factorizations
3 / 1.7  LCM, GCF, Using Primes and
Exponents
4 / 2.1, 2.1, 2.3 Number Line, Addition and
Subtraction of Integers
5 / 2.4 Multiplication and Division of
Integers
2.5 Mixed Number Operations and
Grouping Symbols
6 / 2.5 Continued and Review for Exam 1
7 / Exam 1: Whole Numbers and Integers (emphasized)
8 / 3.1 Expansion and Reduction of
Fractions / 1.11 The Integers (IC)
1.12 Graphing Fraction Forms and
Identifying Integers (IC)
9 / 3.2 Signed Fractions, Mixed Numbers
and nequalities / 1.18 Intro to Ordering Negative and Non-
negative Rational Numbers (IC)
1.19 Ordering two Rational Numbers by
Considering their Graphs (IC)
10 / 3.3 Addition of Fractions
3.4 Subtraction of Fractions
11 / 3.5 Multiplication and Division of
Signed Fractions
12 / 3.6 Mixed Operations and Grouping
Symbols
13 / 3.7 Complex Fractions
14 / Review for Exam 2 ,
4.1 Decimal Notation and Place Values / 1.24 Graphing Numbers Given in Decimal
and Fraction Form and Identifying
Integers (IC)
15 / Exam 2: Signed Fractions and Supplement
16 / 4.2 Addition and Subtraction of Signed
Decimals
4.3 Multiplication and Division of
Signed Decimals / 2.2 Intro to Measurement : The Metric
System (Meters, Centimeters,
Millimeters) (IC)
17 / 4.4 Division of Signed Decimals
4.5 Square Roots and Decimals
18 / 4.6 Reducing Square Roots
19 / 4.7 Percent
20 / Exam 3: Signed Decimals and Metric System
21 / 5.1 Zero and Negative Exponents
5.2 Multiplication and Division of
Signed Exponents / 2.5 Introduction to Area and Perimeter of a
Rectangular Region (IC)
22 / 5.3 Powers of Powers
5.4 Decimals and Signed Powers of 10 / 2.9 Intro to Volume and Surface Area of a
Rectangular Solid (IC)
23 / 6.5 Literal Formulas / 2.3 Correct and Incorrect Use of Decimal
Numbers “Problem Set” (first one only)
(HW)
24 / Review
7.1 Introduction to Equations and
Algebraic Expressions / Answer any follow up questions regarding supplement homework assignment.
25 / Exam 4 Decimals, Exponents, Volume and Surface Area
26 / 7.2 Solving Linear Equations / 2.3 Correct and Incorrect Use of Decimal
Numbers Set D ONLY (IC)
27 / 7.5 Solving Ratio, Proportion, and
Percent Problems
28 / 7.5 Percent Problems Continued
29 / Review for Comprehensive Final Exam