Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Add Integers with the Same Sign Key...
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Transcript of Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Add Integers with the Same Sign Key...
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Main Idea and New Vocabulary
NGSSS
Example 1:Add Integers with the Same Sign
Key Concept: Add Integers with the Same Sign
Example 2: Add Integers with the Same Sign
Key Concept: Additive Inverse Property
Example 3: Add Integers with Different Signs
Example 4: Add Integers with Different Signs
Key Concept: Add Integers with Different Signs
Example 5: Add Integers with Different Signs
Example 6: Add Integers with Different Signs
Example 7: Add Integers with Different Signs
Example 8: Real-World Example
Five-Minute Check
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• Add integers.
• opposites
• additive inverse
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MA.7.A.3.1 Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.
Also addresses MA.7.A.3.2.
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Add Integers with the Same Sign
Find –6 + (–3).
• Start at 0. Move 6 units to the left to show –6.
• From there, move 3 units to the left to show –3.
Answer: So, –6 + (–3) = –9.
–6–3
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Find –34 + (–21).
Add Integers with the Same Sign
–34 + (–21) = –55 Both integers are negative, so the sum is negative.
Answer: So, –34 + (–21) = –55.
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Add Integers with Different Signs
Find 8 + (–7).
Answer: So, 8 + (–7) = 1.
+8–7
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Find –5 + 4.
Add Integers with Different Signs
Answer: So, –5 + 4 = –1.
–5+4
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Add Integers with Different Signs
Find 2 + (–7).
2 + (–7) = –5 Subtract absolute values; 7 – 2 = 5. Since 7 has the greater absolute value, the sum is negative.
Answer: So, 2 + (–7) = –5.
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Add Integers with Different Signs
Find –9 + 6.
–9 + 6 = –3 Subtract absolute values; 9 – 6 = 3. Since 9 has the greater absolute value, the sum is negative.
Answer: So, –9 + 6 = –3.
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Add Integers with Different Signs
Find 11 + (–4) + (–11).
11 + (–4) + (–11) = 11 + (–11) + (–4)Commutative Property (+)
= [11 + (–11)] + (–4)Associative Property (+)
= 0 + (–4) Additive Inverse Property
= –4 Additive Identity Property
Answer: The solution is –4.
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FINANCIAL LITERACY Small businesses manage their inventory using integers. The cost of goods sold is calculated as starting inventory plus cost of items bought during the year plus a negative value on the ending inventory for the year. For example, a small horse farm owner might have a starting inventory of horses valued at $9,500, purchase a colt during the year for $2,000, and have an ending inventory value of $6,000. What is the cost of goods sold? Write an addition sentence to describe this situation. Then find the sum and explain its meaning.
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$9,500 + $2,000 + (–$6,000) = $11,500 + (–$6,000) $9,500 + $2,000 = $11,500
= $5,500 Subtract the absolute values. Since $11,500 has the greater absolute value, the sum is positive.
Answer: The cost of goods sold is $5,500.
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A. Point E is 4 feet lower than point A.
B. Point E is 6 feet lower than point A.
C. Point E is 8 feet lower than point A.
D. Point E is 10 feet lower than point A.
ROLLER COASTERS The graphic shows the change in height at several points on a roller coaster. Write an addition sentence to find the height at point E in relation to point A.
20 + (–32) + 16 + (–10) = –6
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A. –50 + 10 = –40; the bird is 40 feet below where it started.
B. 50 + (–10) = 40; the bird is 40 feet above where it started.
C. 50 + 10 = 60; the bird is 60 feet above where it started.
D. –50 + (–10) = –60; the bird is 60 feet below where it started.
Write an addition expression to describe the situation. Then find the sum and explain the meaning. A bird flies up 50 feet and swoops back down 10 feet.
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A. –14 + 10 = –4; Teresa still owes her brother $4.
B. –14 – 10 = –24; Teresa still owes her brother $24.
C. 14 + (–10) = 4; Teresa’s brother now owes her $4.
D. 14 + 10 = 24; Teresa’s brother now owes her $24.
Write an addition expression to describe the situation. Then find the sum and explain the meaning.Teresa owes her brother $14. She finds $10 and gives it to him.
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