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Word Sort. integers, addition, even numbers, odd numbers prime numbers, composite numbers, negative integer, positive numbers, whole numbers, subtraction, multiplication, division, 0, 12/2, –100, comparing, ordering, thermometer, debts/credits, above/below sea level.
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Word Sort • integers, addition, even numbers, odd numbers prime numbers, composite numbers, negative integer, positive numbers, whole numbers, subtraction, multiplication, division, 0, 12/2, –100, comparing, ordering, thermometer, debts/credits, above/below sea level. • Suggestions: Venn Diagram, Web, Tree
additive inverse Yellow (–) Red (+)
Which of the following would represent zero, using integer tiles? Yes or No Yes or No Yes or No
use integer tiles to answer questions (+2) and (–2) = 0 (+3) and (–3) = __ (–5) and ( ) = 0 ( ) and (+4) = 0
What does this equal? Can you arrange the tiles to show the same answer in a different way?
Show the same number using a different number of tiles. What is the pattern?
Can you represent +3 with 121 tiles? • why or why not!?
Example 1: Positive + Positive Example 2: Negative + Negative Example 3: Positive + Negative
Rule: The sum of two positive integers is a positive integer.
Rule: The sum of two negative integers is a negative integer.
To add a positive and a negative integer (or a negative and a positive integer), follow these steps:
Adding Integers • You earn $2 and then spend $5. How much is your profit or loss? • Show this on a number line. -5 -4 - 3 -2 -1 0 1 2 3 4 5 • Show this using integer tiles.
(+2) + (–5) = (–3) Another example?
add using the integer tiles, drawing diagrams and writing the number sentences (+2) + (+3) = __ (–1) + (+4) = __ (–1) + (–3) = __ (+2) + (–4) = __
Class Practice Regular Problems: P. 280 Evens from #2 – 40, 61 Or Challenge Problems: P. 281 #53, 55, 57, 58, 65, 66
Operation Integers! • Yellow cards are negative • White cards are positive DIRECTIONS • Turn over two cards and add them. • Larger answer wins! (Record your addition sentence)
Subtracting Integers You are $2 in debt and spend $4 more. What is your debt now? • Tiles • Number Line • Math Equation • Spokesperson
Sunny has $4 but spends $6. How much money does she have now? • Tiles • Number Line • Math Equation • Spokesperson
On your own! • (+2) – (+3) = __ • (+2) – (–2) = __ • I am $1 in debt and I spend $3 more. What is my debt/profit now? • (–1) – (–3) = __ • I am $3 in debt and someone cancels a $2 debt that I owe him. What is my debt/profit now?
For your small notebook: FACT: Any subtraction equation can be written as an equivalent __________ sentence. Subtracting Integers FACT: The difference of two integers may be ___, ____, or ___ to either of the integers that are subtracted. Examples Not an example
Class Practice • Textbook p. 287 • Regular #2-32 (evens), 42 • or • Challenge # 10, 26, 34, 47, 49 • GAME: + 100 Integers