Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now

Quiz – 5 Minutes

Simplify Mini-Lesson 3 – 4(12 - 3 x 2)2 •Subsets of real •PEMDAS

numbers •Rational vs. Irrational

3 – 4(12 - 6)2

Independent work

3 – 4(6)2

•Past Regents questions

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3 – 4(36)

Wrap-Up

3 – 144

Homework

–141

•Discussion

•Summary writing •Spiraled worksheet

Aim: How do we classify real numbers? The set of real numbers consists of the set of rational •PEMDAS numbers and the set of irrational Mini-Lesson numbers. •Subsets of real Agenda: 9/30/09 Do Now

numbers •Rational vs. Irrational

Independent work •Past Regents questions

Real Numbers Rational numbers

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Wrap-Up

•Summary writing

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•Spiraled worksheet

Integers Whole numbers

Irrational numbers

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out •Discussion

Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Natural Numbers • Natural (counting) numbers: 1,2,3,4,5,6,7…

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out •Discussion

Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Whole Numbers Just add 0 in the mix (natural numbers and 0) Whole numbers: 0, 1, 2, 3…

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

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Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Integers • Natural (counting) numbers, their opposites and zero • Integers: …-3, -2, -1, 0,1,2,3…

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

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Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Rational numbers

– Can be written as a ratio of two integers. – Repeating decimals, terminating decimals and fractions • 2/3, -31/2 0.3333…

Aim: How do we classify real numbers? Examples of Rational numbers

Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

– 2/3 31/2 0.3333…

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16 = 4

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

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Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Irrational Numbers

• An irrational number is a number that cannot be written as a ratio of two integers. • Irrational numbers written as decimals are non-terminating and non-repeating. They do not . repeat and do not stop.

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out

Examples of Irrational Numbers

π

Pi 3.141592654…

Square roots of non-perfect “squares” 2 ≈1.4142135623730950488016…

•Discussion

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3. 45455455545555…

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out •Discussion

Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

Independen t Work 32 MInutes Completethework sheet of past regents questions

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out •Discussion

Wrap-Up

•Summary writing

Homework

•Spiraled worksheet

suMMary 7 MInutes Compare and contrast rational and irrational numbers

Aim: How do we classify real numbers? Agenda: 9/30/09 Do Now •PEMDAS

Mini-Lesson •Subsets of real numbers •Rational vs. Irrational

Independent work •Past Regents questions

Share-out •Discussion

Wrap-Up

•Summary writing

Homework

•Spiraled worksheet