The Rational Numbers

The Rational Numbers is an 8 lesson abbreviated version of the Arithmetic’s Role in Mathematics (ARIM) course.  The Rational Numbers is directed to the students for whom fractions is the main Mathematical challenge.  This course systematically presents the building blocks necessary for true understanding of fractions and percentages.

Topics Covered By The Rational Numbers

Preparatory

• Historical Development of Operations
• Historical Development of Number Sets
• Language of Operations
• Order of Operations
• Language of Number Sets
• Divisibility
• Prime Numbers
• Prime Factorizations

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