Warm UP Classify the following as rational or irrational 1.π 2.√2 3..12 4.¼.

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Presentation transcript:

Warm UP Classify the following as rational or irrational 1.π 2.√ ¼

What is the difference between a rational and an irrational number? Essential Question

MGSE9-12.N.RN.3 Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational. Standard:

Section 3: Rational and Irrational Numbers Unit 1: Extending the number system

Rational fractions solid numbers (positive and negative) decimals that end decimals that have a pattern WHAT IS THE DIFFERENCE Irrational decimals that go on forever with no pattern

Try Problems 1-5 on the guided sheet

Time to create your own venn diagram -you need to compare and contrast rational and irrational numbers -what do they have in common -how are they different

Add Rational Numbers Classify the numbers then classify the answer.3 + ½ = _______ = ________

Try Problems 6 and 7 from the guided sheet

3 x 7 = _______ ½ x 8 = ________ Multiplying rational Numbers

Try Problems 8 and 9 from the guided sheet

9 + √3 = _______ 8 + π = _______ Adding a rational and Irrational Number

Try Problems 10 and 11 from the guided sheet

7 x √5 = _______ 3 x π = _________ Multiplying a rational and an irrational

Try Problems 12 and 13 from the guided sheet

14. The sum of a rational number and a rational number is (rational, Irrational). Go back through the sheet to try to answer this question Let’s try problem 14 together

Go back through the guided sheet and try to answer problems