INTRODUCING INTEGERS Unit Essential Questions o What are

Unit Essential Questions o What are integers? o When do we work with integers

Lesson Essential Questions o What are integers? o What situations can be represented with

Key Vocabulary o o o o o Integers Positive Numbers Negative Numbers Positive Integers

Integers o Whole numbers and their opposites are integers such as 6 and -6.

Definition o. Positive number – a number greater than zero. 0 1 2 3

Definition o. Negative number – a number less than zero. -6 -5 -4 -3

Definition o Opposite Numbers – numbers that are the same distance from zero in

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -10

Negative Numbers Are Used to Show Debt Let’s say your parents bought a car

INTRODUCTION TO INTEGERS o Integers are positive and negative numbers. …, -6, -5, -4,

INTRODUCTION TO INTEGERS o We can represent integers using red and yellow counters. o

INTRODUCTION TO INTEGERS o The diagrams below show 2 ways to represent -3. -3

INTRODUCTION TO INTEGERS o Students may represent -3 by using 3 red tiles and

INTRODUCTION TO INTEGERS o Tell which integer each group of tiles represents. +1 -2

INTRODUCTION TO INTEGERS o If there are the same number of red tiles as

Let’s Try these examples…. o 1. 3 -5 = o 2. -4 + 6

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INTRODUCING INTEGERS

Unit Essential Questions o What are integers? o When do we work with integers in the real world? o How do we add and subtract integers?

Lesson Essential Questions o What are integers? o What situations can be represented with integers? o In what ways can we order and compare integers?

Key Vocabulary o o o o o Integers Positive Numbers Negative Numbers Positive Integers Negative Integers Addends Sum Difference Opposites

Integers o Whole numbers and their opposites are integers such as 6 and -6. o Zero is also a whole number. -6 0 Opposites 6

Definition o. Positive number – a number greater than zero. 0 1 2 3 4 5 6

Definition o. Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Definition o Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -10 -20 -30 -40 -50

Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5, 000. When counting all their money they add in -$5. 000 to show they still owe the bank.

INTRODUCTION TO INTEGERS o Integers are positive and negative numbers. …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, … o Each negative number is paired with a positive number the same distance from 0 on a number line. -3 -2 -1 0 1 2 3

INTRODUCTION TO INTEGERS o We can represent integers using red and yellow counters. o Red tiles will represent negative integers, and yellow tiles will represent positive integers. Negative integer Positive integer

INTRODUCTION TO INTEGERS o The diagrams below show 2 ways to represent -3. -3 -3 o Represent -3 in 2 more ways.

INTRODUCTION TO INTEGERS o Students may represent -3 by using 3 red tiles and any number of groups of +1 and -1 tiles

INTRODUCTION TO INTEGERS o Tell which integer each group of tiles represents. +1 -2 +2

INTRODUCTION TO INTEGERS o If there are the same number of red tiles as yellow tiles, what number is represented? o It represents 0.

Let’s Try these examples…. o 1. 3 -5 = o 2. -4 + 6 = o 3. 2 – 3 =