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Transcript

INTRODUCING INTEGERS Unit Essential Questions What are integers? When do we work with integers in the real world? How do we add and subtract integers? Lesson Essential Questions What are integers? What situations can be represented with integers? In what ways can we order and compare integers? Key Vocabulary Integers Positive Numbers Negative Numbers Positive Integers Negative Integers Addends Sum Difference Opposites Integers Whole numbers and their opposites are integers such as 6 and -6. Zero is also a whole number. -6 0 Opposites 6 Definition Positive number – a number greater than zero. 0 1 2 3 4 5 6 Definition Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Definition 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 Integers are positive and negative numbers. …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, … 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 We can represent integers using red and yellow counters. Red tiles will represent negative integers, and yellow tiles will represent positive integers. Negative integer Positive integer INTRODUCTION TO INTEGERS The diagrams below show 2 ways to represent -3. -3 -3 Represent -3 in 2 more ways. INTRODUCTION TO INTEGERS Students may represent -3 by using 3 red tiles and any number of groups of +1 and -1 tiles INTRODUCTION TO INTEGERS Tell which integer each group of tiles represents. +1 -2 +2 INTRODUCTION TO INTEGERS If there are the same number of red tiles as yellow tiles, what number is represented? It represents 0. Let’s try together 12 + (-2) -4 + (9) -3 + (-8) 8 + (-13) Using your counters, add 1. 2. 3. 4. 5. -8 + 5 12 + (-4) -10 + (-6) 11 + (-4) -11 + (-3) In your notes, we will draw counters to help solve integer problems. Let’s try these! 1. 1 + (-9) 2. -6 + (-5) 3. -4 + 10 Exit Ticket