Institution: Clackamas Community College
Course Title: Fundamentals of Arithmetic
Course Prefix/#: MTH 010
Type of Program: Developmental
Date: December 21, 2006
Outline Developed by: Kathy Taylor
Last Review Date: July 1, 2008
Course Description: This course is designed to teach the basic concepts of arithmetic in a lecture-laboratory setting.
Length Of Course: 42 lecture hours
Grading Criteria: Letter grade or Pass / No Pass.
Required Textbook: Basic Mathematical Skills with Geometry (Seventh Edition), by Baratto and Bergman; McGraw
Required Materials: Students may be required to use a scientific calculator, ruler, pencil and paper.
Course Objectives: This course is intended to review operations on whole numbers, elementary fraction concepts,
operations on decimals, and measurement.
Student Learning Upon completion of this course, the successful student will be able to accomplish the
Use mental arithmetic, paper and pencil algorithms, and a calculator as computation tools in
solving mathematical problems.
Represent the operations of arithmetic using visual models for whole numbers and
Use the operations of arithmetic on whole numbers, selected fractions, and decimals
Learn to use the operations of arithmetic on whole numbers, selected fractions, and
Use equivalent forms of a problem, to make comparisons between forms.
Estimate the results of computation.
Round the results of computation.
Understand the concepts which underlie the algorithms of arithmetic.
Reason and draw conclusions from numerical information.
Understand and apply the concepts of perimeter, area, and volume.
Understand the English system of measurement and the metric system of measurement;
and be able to translate measurements within each system.
Use both pencil and paper algorithms and visual models to fine averages.
Major Topic Outline: Addition and Subtraction of Whole Numbers:
Decimal place-value system; the language and properties of whole numbers; adding whole
numbers, rounding, estimation, and order; subtraction of whole numbers; solving word
problems with addition and subtraction.
Multiplication of Whole Numbers:
The language and properties of subtraction, multiplying whole numbers, order of operations,
solving word problems involving multiplication, powers of whole numbers.
Division of Whole Numbers:
The language of division, division of whole numbers, order of operations, solving word
problems involving division, finding the average.
Introduction to Fractions with denominators which are powers of 10:
The language of fractions; proper fractions, improper fractions, and mixed numbers;
equivalent fractions; simplifying fractions.
Addition and Subtraction of Fractions with denominators which are powers of 10.
Adding fractions with a common denominator, finding the least common denominator,
adding fractions with unlike denominators, subtracting fractions, adding and subtracting
mixed numbers, applications involving fractions.
Addition, Subtraction, and Multiplication of Decimals:
Place value in decimal fractions, adding decimals, subtracting decimals, multiplying
decimals, rounding decimals.
Division of Decimals:
Dividing decimals by whole numbers, dividing decimals by decimals, converting from
decimal form to fractional form.
Metric and English System of Measurement:
Metric and English units of length, weight and volume.
Perimeter and area, circumference and area of circles, area of parallelograms and
triangles, area of combined figures
Suggested CLASS HOURS TOPIC
Timeline 1 Place Value, Introduction to our Number System
3 Addition of Whole Numbers, Modeling, Rounding, Estimating
2 Subtraction of Whole Numbers, Modeling, Rounding, Estimating
4 Multiplication of Whole Numbers, Modeling, Rounding, Estimating
1 Powers and Order of Operations
3 Perimeter, Circumference, Area and Volume, Modeling
3 Division of Whole Numbers, Modeling, Estimating
2 Averages, Modeling
3 Introduction to Fractions, Denominators are Powers of 10
3 Addition and Subtraction of Fractions, Denominators are Powers of 10
5 Addition, Subtraction, and Multiplication of Decimals
2 Division of Decimals
2 Metric and English System
7 Review, Tests and Final Exam