Rational Numbers

Students will understand that…

• positive integers, fractions and decimals are to the left of zero on the number line.
• a rational number is any number that can be written as a fraction with an integer numerator and a non-zero integer denominator.
• the patterns for addition, subtraction, multiplication and division of integers hold for rational numbers.
• the strategies for adding, subtracting, multiplying and dividing positive fractions and positive decimals can be applied to rational numbers.
• the order of operations for integers, positive fractions, and positive decimals holds for all rational numbers.

Essential Questions:

What are integers? What are fractions? What are numerators?

What are denominators? What are decimals? What is a rational numbers?

What are positive numbers? What are negative numbers? What are the Order of Operations?

General Outcomes:

• Students will develop number sense.
• Students will demonstrate an understanding of rational numbers by comparing and ordering rational numbers.
• Students will demonstrate an understanding of rational numbers by solving problems that involve arithmetic operations on rational numbers.
• Students will explain and apply the order of operations, including exponents, with and without technology.