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Unit 1. Day 2.
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Please get out paper for today’s lesson
Name Date Period Topic: Order of Operations 7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers (fractions)
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What is an integer? Real Irrational π, e, 2 Rational
-3.24, 2/3, 6.71, -5/2, … Integers -1, -2, -3, -4, … Irrational π, e, 2 Whole Natural 1, 2, 3, 4, …
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Comparing Integers Adding (combine) Integers Absolute Value
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> −6 −9 Example A: Compare the integers: 1 2 3 4 5 6 7 8 9 10 11 -4
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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< −10 2 Example B: Compare the integers: 1 2 3 4 5 6 7 8 9 10 11 -4
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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Compare the integers: −2 2 Example C: −100 −1 Example D: −6 Example E:
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< −2 2 Example C: Compare the integers: 1 2 3 4 5 6 7 8 9 10 11 -4
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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< −100 −1 Example D: Compare the integers: 1 2 3 4 5 6 7 8 9 10 11
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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> −6 Example E: Compare the integers: 1 2 3 4 5 6 7 8 9 10 11 -4 -5
> −6 1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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Example F: Order the integers from least to greatest.
9 9, −6, −13, −7, 1 −6 −13 −7 1
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Comparing Integers Adding (combine) Integers Absolute Value
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Commercial Break Let’s Learn How to Read
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3+5 + 𝑡ℎ𝑟𝑒𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠 𝑓𝑖𝑣𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠
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−2+6 𝑡𝑤𝑜 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠 𝑠𝑖𝑥 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠
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−1+ −4 𝑜𝑛𝑒 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑓𝑜𝑢𝑟 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠
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3+−8 𝑡ℎ𝑟𝑒𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠 𝑒𝑖𝑔ℎ𝑡 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠
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= 2 − − − − − − − − − − + + + + + + + Example G: Find −9+7 1 2 3 4 5 6
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 3 − − − − − − − − − − + + + + + Example H: Find −8+5 1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 3 + + + + + + + + − − − − Example I: Find 7+ −4 1 2 3 4 5 6 7 8 9 10
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 4 + − − − − − − − + + + + + + + + + + Example J: Find −6+10 1 2 3 4
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 11 − − − − − − − − − − − − Example K: Find −5+ −6 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 13 + + + + + + + + + + + + + + Example L: Find 7+6 1 2 3 4 5 6 7 8 9
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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Comparing Integers Adding (combine) Integers Absolute Value
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Let’s talk about ABSOLUTE VALUE
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. Let’s talk about ABSOLUTE VALUE −2 4 −8
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−2 = 2 Example M: 1 2 3 4 5 6 7 8 9 10 11 -4 -5 -6 -7 -8 -9 -1 -2 -3
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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Example N: 7 = 7 1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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−6 = 6 6 = 6 −8 = 8 8 = 8 −1 = 1 1 = 1 Example O: Example P:
Example Q: 8 Example R: 8 = 8 −1 = 1 Example S: 1 = 1 Example T: 1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11
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= 4 − − − − − − − − − − − + + + + + Example U: Find −9+5
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative
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= 6 + + + + + + + + + + + − − − − Example V: Find 10+ −4
1 2 3 4 5 6 7 8 9 10 11 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative
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