Positive and Negative Numbers

Introduction

• At one time or another, almost everyone has played Monopoly. What you probably didn’t realize was that the game consists of nothing but adding and subtracting numbers (and a little bit of luck!). You add the numbers on the dice to determine how many spaces to move your piece forward. You must also move your piece backwards when directed to do so.

• Jose, Tony, and Lawanda have just begun a game of Monopoly. The chart below shows each of their first three turns. Who is farther around the board after three turns? How can you represent each player’s moves using integers?

• .

Jose : (5 + 5) + 9 + 6 + 11 - 3 = _____ spaces forward.Tony : 3 + 4 + 17 + 6 - 20 = _____ spaces forward.Lawanda : 6 + (3 + 3) + 7 + 8 = _____ spaces forward.

Objectives • Upon completion of the activities in this unit, you should be able to:• Use the following terms in a written paragraph to describe the key

concepts of this module.– additive inverses – graph – inequality – number line – opposites – integers – whole numbers – reciprocals – rational numbers

• Graph integers and inequalities on a number line. • Add, subtract, multiply, and divide integers and rational numbers.

Warm Up

Addition Rulessung to Row-Row-Row Your BoatMethod - Using the melody of "Row, Row, Row, Your Boat" give the students the following words:"Same Sign, add and keep,different sign, subtract.Take the sign of the higher number,then it’ll be exact!"Explain that “higher number” means higher absolute value. Continue with the melody, singing (and maybe dancing around the room)! Get the students to sing along and keep repeating it.

Lesson

• Virtual+Integer+Chips.doc• IntegerLab.doc• AddSubIntegers.ppt• integerOperations.pdf

Web Resources• Video: PH Classifying Numbers • Video: PH Finding Absolute Value • Video: PH Adding Rationals • Video: PH Subtracting Rationals • Interactive Notes: Adding and Subtracting with a Number

Line

• Interactive Notes: Adding and Subtracting Signed Numbers

• Interactive: Adding Integers • Interactive: Subtracting Integers• Interactive: Number Line Bounce • Game: Puzzles

Assignments

• IntegersNumberLine.doc• AddSubtIntegers.doc• GlencoeSG2-1number Line.pdf• GlencoePWS2-3.pdf• GlencoeSG2-3.pdf

Journal

• Adding and Subtracting Integers: State a general rule to determine the sign of a sum when you have two numbers with the same sign and two numbers with different signs. Give an example of each.

• Homework: Tell me why doing homework is important in Algebra.

Assessment

• ExamView Quiz: Adding and Subtracting Integers

• Prentice Hall Quiz