Math 25 - Arithmetic
|Description:||This course introduces the fundamentals of arithmetic with an emphasis on computational skills. Topics include whole numbers, exponents, order of operations, factors, fractions, decimals, problem solving, and applications.|
Learning Outcomes and Objectives Upon completion of this course, the student will be able to:
- evaluate problems using addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals.
- use the order of operations to simplify expressions.
- read, write, and round whole numbers and decimals.
- identify and use factors and prime factorization of whole numbers.
- identify types of fractions.
- simplify fractions.
- demonstrate the relationships between fractions and decimals.
- set up and solve application problems using computational arithmetic.
Course Topics The topics for this course are typically allocated as follows:
|2||Whole Numbers: Reading, Writing, and Round Whole Numbers; Place Value|
|3||Addition of Whole Numbers: Basic Facts; Techniques of Addition in Vertical (column) and Horizontal formats; Estimating Sums and Reasonableness of answers; Applications|
|5||Subtraction of Whole Numbers: Basic Facts; Techniques of Subtraction in Vertical (column) and Horizontal Format; Applications|
|6||Multiplication of Whole Numbers: Basic Facts; Techniques of Multiplication in Vertical (column) and Horizontal Formats; Techniques for Multiplying by Powers and Multiples of Powers of 10; Applications|
|6||Division of Whole Numbers: Basic Facts; Techniques for Dividing using various Algorithms; Division by Powers and Multiples of 10; Applications|
|6||Prime Numbers: Identification of Prime Numbers; Divisibility Rules (by 2, 3, or 5); Prime Factorization; Greatest Common Factor (GCF); Least Common Multiple (LCM)|
|2||Fractions: Representations of Fractions; Fractional Notation; Equivalence and Reducing to Lowest Terms of Fractions; Improper Fractions/Mixed Numbers and Related Conversions|
|4||Multiplication and Division of Fractions: Techniques involving Simple/Improper Fractions; Techniques involving Mixed Fractions (or Numbers); Applications|
|5||Addition and Subtraction of Simple Fractions: Techniques involving Common Denominators and non-Common Denominators|
|4||Addition and Subtraction of Fractions and Other Numbers: Techniques involving Mixed and non-Mixed Fractions; Applications|
|6||Decimals: Definition of Decimal Fractions; Conversions between Decimals and Fractions; Addition and Subtraction of Decimals; Multiplication and Division of Decimals; Applications|
|3||Exponents and Order of Operations|