Date:
Rational
and
Irrational
Numbers
Standards
NQ.RN 3 – Understand the properties of
rational and irrational numbers
Essential Questions
• What are rational and irrational numbers?
• What are the properties of rational and irrational numbers?
What are rational
and irrational
numbers?
Rational Numbers
Any real number that can be written as a quotient of
two integers where the denominator is not 0. Rational
numbers in decimal form are terminating or repeating
WTH?!
What are rational
and irrational
numbers?
Irrational Numbers
A number that cannot be written as a ratio of two
integers. Irrational numbers in decimal form are non
terminating and non-repeating.
WTH?!
Rational
Irrational
What are rational
and irrational
numbers?
Rational vs. Irrational
Why do I care?
We use rational numbers for everyday life.
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The sum of a rational number and a rational
number is rational.
ALWAYS TRUE
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The sum of a rational number and an irrational
number is irrational.
ALWAYS TRUE
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The sum of an irrational number and an
irrational number is irrational.
SOMETIMES TRUE
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The product of a rational number and a
rational number is rational.
ALWAYS TRUE
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The product of a rational number and an
irrational number is irrational.
NOT TRUE/ SOMETIMES
What are the
properties of
rational and
irrational
numbers?
Rational Irrational
Which of the statements is ALWAYS,
SOMETIMES , or NEVER true?
The product of an irrational number and an
irrational number is irrational.
SOMETIMES TRUE
REFLECTION:
1) Answer one essential question.
2) How have previous lessons helped or
connect with this lesson?
3) What are you still confused on or
what new info did you learn?
Homework: Expressions