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
Share-out
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
Share-out •Discussion
Wrap-Up
•Summary writing
Homework
•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
Share-out •Discussion
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
Share-out •Discussion
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…
Share-out •Discussion
Wrap-Up
•Summary writing
Homework
•Spiraled worksheet
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
Share-out •Discussion
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
Wrap-Up
•Summary writing
Homework
•Spiraled worksheet
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