ARIM Basic Course - Topics

Although ARIM does not follow the traditional course sequence, the following topics are covered by the Arithmetic's Role in Mathematics (ARIM) - Basic Course:

Whole Numbers

• Addition, Subtraction, Multiplication, Division
• Powers, Roots
• Comparisons
• Reading, Writing, Ordering
• Word Problems
• Divisibility
• Prime Numbers, Prime Factorizations
• Place Value, Expanded Notation

Fractions

• Addition, Subtraction, Multiplication, Division
• Powers, Roots
• Equivalent Fractions
• Comparisons
• Reading, Writing, Ordering
• Word Problems
• Ratio, Proportion

Decimal Fractions

• Reading, Writing, Ordering
• Addition, Subtraction, Multiplication, Division
• Powers, Roots
• Comparisons
• Word Problems
• Place Value
• Conversions to and from Ordinary Fractions 

Percents

• Conversions to and from Ordinary and Decimal Fractions
• Calculations
• Word Problems

Measures

• Conversions
• Addition, Subtraction

Statistics

• Mean, Median, Mode
• Interpreting Graphs

Laws and Vocabulary

• Order of Operations
• Language of Operations
• Language of Number Sets
• Associative, Commutative, Distributive

Algebraic Expressions

• Understanding terms and “Like” terms Addition
• Formula Evaluation

Math History and Number Theory

• Historical Development of Operations
• Historical Development of Number Sets

Modules & Lessons                   ARIM Basic Overview