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Bell Activity Solutions

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Page 1: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Bell Activity Solutions

Page 2: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Bell Activity Solutions

Page 3: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

E.O.C. Practice

Page 4: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• Graphic Organizer• You will need: 1. Blank sheet of paper2. Colored pencils3. Black ink

Page 5: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• Can you think of any types of real numbers?

Page 6: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

Natural Numbers

Think ‘hide and seek’ {1, 2, 3, 4, …}

Page 7: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

Natural Numbers

Think ‘hide and seek’ {1, 2, 3, 4, …}

Whole Numbers

Natural numbers plus zero (Whole has an o)

{0, 1, 2, 3, … }

Page 8: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

Whole Numbers

Natural numbers plus zero (Whole has an o)

{0, 1, 2, 3, …}Natural Numbers

Think ‘hide and seek’ {1, 2, 3, 4, …}

Integers

Whole numbers and their opposites (negatives) {… -3, -2, -1, 0, 1, 2, 3, … }

Page 9: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

Whole Numbers

Natural numbers plus zero (Whole has an o)

{0, 1, 2, 3, …Natural Numbers

Think ‘hide and seek’ {1, 2, 3, 4, …}

Integers

Whole numbers and their opposites (negatives) {… -3, -2, -1, 0, 1, 2, 3, … }

Rational Numbers Includes the other numbers AND fractions, decimals that repeat or end

-0.1234

66.0

2

1

Page 10: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

Whole Numbers

Natural numbers plus zero (Whole has an o)

{0, 1, 2, 3, …Natural Numbers

Think ‘hide and seek’ {1, 2, 3, 4, …}

Integers

Whole numbers and their opposites (negatives) {… -3, -2, -1, 0, 1, 2, 3, … }

Rational Numbers Includes the other numbers AND fractions, decimals that repeat or end

-0.1234

66.0

2

1

Irrational Numbers

Can’t be written as a fractionOr decimals that don’t end or repeat

144

225

100

964

36

10123

Page 11: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• Summary- The real number system is broken up into 4 sets of numbers: natural, whole, integers, and rational.

• Sets are denoted by {}• Each thing inside a set is called an element• Any small set taken from a bigger set is called

a subset

Page 12: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• The set of natural numbers is {1, 2, 3, …}• (Use … when you don’t want to write the whole

thing)

Page 13: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• Natural numbers are a subset of whole numbers

• (natural numbers is a smaller set because it doesn’t include 0, while the set of whole numbers does)

• What else is the set of natural numbers a subset of?

Page 14: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

The Real Number System

• Come up with a mnemonic device to remember the order of sets of real numbers

• R-• I-• W-• N-

Page 15: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• 3/8 is an element of which sets of real numbers?

• Rational

Page 16: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• 5 is an element of which sets of real numbers?

• Rational, Integers, Whole, Natural

Page 17: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• 0 is an element of which sets of real numbers?

• Rational, Integers, Whole,

Page 18: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• 700 is an element of which sets of real numbers?

• Rational, Integers, Whole, Natural

Page 19: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• -2 is an element of which sets of real numbers?

• Rational, Integers

Page 20: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• 125 is an element of which sets of real numbers?

• Rational, Integers, Whole, Natural

Page 21: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• is an element of which sets of real numbers?

• Rational

33.0

Page 22: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

Applying it

• .3 is an element of which sets of real numbers?

• Rational

Page 23: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

You try it!• Algebra 1• p. 24 # 26-34, 66-68

• Honors- p. 20 # 27-36, 72-74

Page 24: Bell Activity Solutions. E.O.C. Practice The Real Number System Graphic Organizer You will need: 1.Blank sheet of paper 2.Colored pencils 3.Black ink

You try it!• Algebra 1• p. 24 # 26-

34, 66-68• 26)• 27)• 28)• 29)• 30)• 31)• 32)

• 33)• 34)• 66)• 67)• 68)

• Honors- p. 20 # 27-36, 72-74

• 27)• 28)• 29)• 30)• 31)• 32)• 33)

• 34)• 35)• 36)• 72)• 73)• 74)