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Rational and Irrational Numbers Date: 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?

Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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Page 1: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

Rational and

Irrational Numbers

Date:

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?

Page 2: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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?!

Page 3: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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?!

Page 4: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

Rational Irrational

Page 5: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

What are rational and irrational numbers?

Rational vs. Irrational Why do I care?

We use rational numbers for everyday life.

Page 6: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

What are the properties of rational and irrational numbers?

Rational Irrational

Page 7: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 8: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 9: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 10: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 11: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 12: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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

Page 13: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

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?

Page 14: Irrational NQ.RN 3 rational and irrational numbers … are rational and irrational numbers? Rational Numbers ... The sum of a rational number and an irrational ... The product of a

Homework: Expressions