Unit Two – Rational Unit Two – Rational NumbersNumbers

State Standard 1.1: Number State Standard 1.1: Number sense (application)sense (application)

State Standard 1.4: Computation State Standard 1.4: Computation (application)(application)

Concepts We’ll CoverConcepts We’ll Cover

Integers and the Number LineIntegers and the Number Line Positive and Negative IntegersPositive and Negative Integers Positive and Negative Positive and Negative

Rational NumbersRational Numbers Multiplication of Rational NumbersMultiplication of Rational Numbers Division of Rational NumbersDivision of Rational Numbers

Integers and the Number LineIntegers and the Number Line

Recognize and explain the Recognize and explain the relationship between number sets, relationship between number sets, including natural numbers, whole including natural numbers, whole numbers, integers, rational numbers, numbers, integers, rational numbers, irrational numbers, and real irrational numbers, and real numbers.numbers.

KMA 1.1.A.1KMA 1.1.A.1

Words to Know (2.1)Words to Know (2.1)

Number line – a graphical Number line – a graphical representation of a set of numbersrepresentation of a set of numbers

Integers – the set of numbers Integers – the set of numbers represented as represented as {…, -3, -2, -1, 0, 1, 2, 3, …}{…, -3, -2, -1, 0, 1, 2, 3, …}

Graph – to draw, or plot, the points Graph – to draw, or plot, the points named by those numbers on a named by those numbers on a number line.number line.

Coordinate – the number that Coordinate – the number that corresponds to a point on a number corresponds to a point on a number line.line.

Name the set of numbers that is graphed.Name the set of numbers that is graphed.

-5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5

1.1. {-2, -1, 0, 1, 2, 3, 4}{-2, -1, 0, 1, 2, 3, 4}2.2. {-2, -1, 0, 1, 2, 3, 4, …}{-2, -1, 0, 1, 2, 3, 4, …}3.3. {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}4.4. {…, -2, -1. 0, 1, 2, 3, 4, …} {…, -2, -1. 0, 1, 2, 3, 4, …}

On your own paper, graph the On your own paper, graph the following set of numbers.following set of numbers.

{…-2, -1, 0, 1, 2}{…-2, -1, 0, 1, 2}

Is this your graph?Is this your graph?

-2 -1 0 1 2 3 4 5 6-2 -1 0 1 2 3 4 5 6

2 + 3 = ?2 + 3 = ?

1.1. 2 2 2.2. 5 5 3.3. 774.4. -1 -1

127 is an integer.127 is an integer.

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1.1. TrueTrue2.2. FalseFalse

-5 + (-1) = ?-5 + (-1) = ?

1.1. 442.2. -4 -4 3.3. 6 6 4.4. -6 -6

-10 + 6 = ?-10 + 6 = ?

1.1. -4 -4 2.2. 4 4 3.3. 16164.4. -16 -16

9 + (-9) = ?9 + (-9) = ?

1.1. -18 -18 2.2. 0 0 3.3. 18184.4. 81 81

Which set of numbers is Which set of numbers is graphed?graphed?

-5 -4 -3 -2 -1 0 1 2 3 -5 -4 -3 -2 -1 0 1 2 3

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1.1. {-5, -3, -1, 1, …} {-5, -3, -1, 1, …} 2.2. {…-5, -3, -1, 1, …} {…-5, -3, -1, 1, …} 3.3. {…-5, -3, -1, 1} {…-5, -3, -1, 1} 4.4. {-5, -3, -1, 1} {-5, -3, -1, 1}

6 + (-2) = 6 + (-2) =

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1.1. 8 8 2.2. 4 4 3.3. -4 -4 4.4. -8-8

-4 + (-3) = ?-4 + (-3) = ?

1.1. 7 7 2.2. 003.3. -7 -7 4.4. 12 12

-61 + 18 = ?-61 + 18 = ?

1.1. -43-432.2. 43 43 3.3. 79 79 4.4. -79 -79

Which of the following is Which of the following is notnot an integer an integer

1.1. -100-1002.2. 003.3. 56564.4. 6/36/35.5. 7/27/2

You are in a hotel lobby. You realize You are in a hotel lobby. You realize that you forgot your jacket in your that you forgot your jacket in your

room 4 floors above. On what floor room 4 floors above. On what floor is your room?is your room?

1.1. The fourth floorThe fourth floor2.2. The fifth floor The fifth floor 3.3. The second floor The second floor 4.4. None of the above None of the above

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From the previous question: you were in the From the previous question: you were in the lobby, went up to your room 4 floors above the lobby, went up to your room 4 floors above the lobby, you take the elevator 2 floors down, to a lobby, you take the elevator 2 floors down, to a friend’s room, then 5 floors up for a snack. On friend’s room, then 5 floors up for a snack. On

what floor are you?what floor are you?

1.1. The second floor The second floor 2.2. The fifth floor The fifth floor 3.3. The eighth floor The eighth floor 4.4. None of the above None of the above

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