Unit 1. Day 2.

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)

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, …

Comparing Integers Adding (combine) Integers Absolute Value

> −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

< −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

Compare the integers: −2 2 Example C: −100 −1 Example D: −6 Example E:

< −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

< −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

> −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

Example F: Order the integers from least to greatest. 9 9, −6, −13, −7, 1 −6 −13 −7 1

Comparing Integers Adding (combine) Integers Absolute Value

Commercial Break Let’s Learn How to Read

3+5 + 𝑡ℎ𝑟𝑒𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠 𝑓𝑖𝑣𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠

−2+6 𝑡𝑤𝑜 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠 𝑠𝑖𝑥 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠

−1+ −4 𝑜𝑛𝑒 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑓𝑜𝑢𝑟 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠

3+−8 𝑡ℎ𝑟𝑒𝑒 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒𝑠 𝑒𝑖𝑔ℎ𝑡 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠

= 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

= 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

= 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

= 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

= 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

= 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

Comparing Integers Adding (combine) Integers Absolute Value

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

−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

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

−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

= 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

= 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