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Lesson 13 General.notebook 1 September 03, 2014 Subtracting Integers Lesson 13 EQ: How do you subtract integers?

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Page 1: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

1

September 03, 2014

Subtracting IntegersLesson 1­3

EQ: How do you subtract integers?

Page 2: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

2

September 03, 2014

Unit Scale:

4.0

Through independent work beyond what was taught in class, students could (examples include, but are not limited to):

•identify the addition and subtraction errors made by their peers and then correct it, while justifying with precise mathematical terminology.

•contextualize (use in context in real life)at least two representations of real­word problems to demonstrate their understanding of adding, subtracting, and ordering integers

3.0

The students will:

•apply and extend previous understandings of addition and subtraction to add and subtract numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

a.Describe situations in which opposite quantities combine to make 0.

b.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 numbers by describing real­world contexts.

c.Understand subtraction of numbers as adding the additive inverse, p­q=p+(­q). Show that the distance between two numbers on the number line is the absolute value of their difference, and apply this principle in real­world contexts.

d.Apply properties of operations as strategies to add and subtract numbers.

•solve real­world and mathematical problems involving the four operations with numbers

2.0

The students will:

*determine the meaning of symbols, key terms, and other number sense specific words and phrases as they are used in a specific technical context relevant to grades 6­8

*comprehend addition and subtraction with whole numbers.

*understand plotting points on a vertical number line.

*understand the concepts of positive and negative.

*measure distance of two objects on a line.

*identify integers on a number line.

*calculate absolute value of a number.

*translate written expressions into numerical expressions.

*apply order of operations with precision.

1.0 With help, the students will have partial success at level 2.0 and level 3.0 content and recognition of academic vocabulary

Page 3: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

3

September 03, 2014

Page 4: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

4

September 03, 2014

Page 5: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

5

September 03, 2014

Page 6: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

6

September 03, 2014

Page 7: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

7

September 03, 2014

Page 8: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

8

September 03, 2014

Page 9: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

9

September 03, 2014

Unit Scale:

4.0

Through independent work beyond what was taught in class, students could (examples include, but are not limited to):

•identify the addition and subtraction errors made by their peers and then correct it, while justifying with precise mathematical terminology.

•contextualize (use in context in real life)at least two representations of real­word problems to demonstrate their understanding of adding, subtracting, and ordering integers

3.0

The students will:

•apply and extend previous understandings of addition and subtraction to add and subtract numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

a.Describe situations in which opposite quantities combine to make 0.

b.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 numbers by describing real­world contexts.

c.Understand subtraction of numbers as adding the additive inverse, p­q=p+(­q). Show that the distance between two numbers on the number line is the absolute value of their difference, and apply this principle in real­world contexts.

d.Apply properties of operations as strategies to add and subtract numbers.

•solve real­world and mathematical problems involving the four operations with numbers

2.0

The students will:

*determine the meaning of symbols, key terms, and other number sense specific words and phrases as they are used in a specific technical context relevant to grades 6­8

*comprehend addition and subtraction with whole numbers.

*understand plotting points on a vertical number line.

*understand the concepts of positive and negative.

*measure distance of two objects on a line.

*identify integers on a number line.

*calculate absolute value of a number.

*translate written expressions into numerical expressions.

*apply order of operations with precision.

1.0 With help, the students will have partial success at level 2.0 and level 3.0 content and recognition of academic vocabulary

Page 10: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

10

September 03, 2014

Page 11: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

11

September 03, 2014

Jigsaw:

Count off 1­4.Each group (1's, 2's, 3's, and 4's) will get together and work out one problemThen, get together in groups of 4 to discuss and share answers.

Page 12: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

12

September 03, 2014

Answers

4. ­95. 26. ­27. ­4

Page 13: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

13

September 03, 2014

Guided Practice

Page 22

Page 14: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

14

September 03, 2014

Unit Scale:

4.0

Through independent work beyond what was taught in class, students could (examples include, but are not limited to):

•identify the addition and subtraction errors made by their peers and then correct it, while justifying with precise mathematical terminology.

•contextualize (use in context in real life)at least two representations of real­word problems to demonstrate their understanding of adding, subtracting, and ordering integers

3.0

The students will:

•apply and extend previous understandings of addition and subtraction to add and subtract numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

a.Describe situations in which opposite quantities combine to make 0.

b.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 numbers by describing real­world contexts.

c.Understand subtraction of numbers as adding the additive inverse, p­q=p+(­q). Show that the distance between two numbers on the number line is the absolute value of their difference, and apply this principle in real­world contexts.

d.Apply properties of operations as strategies to add and subtract numbers.

•solve real­world and mathematical problems involving the four operations with numbers

2.0

The students will:

*determine the meaning of symbols, key terms, and other number sense specific words and phrases as they are used in a specific technical context relevant to grades 6­8

*comprehend addition and subtraction with whole numbers.

*understand plotting points on a vertical number line.

*understand the concepts of positive and negative.

*measure distance of two objects on a line.

*identify integers on a number line.

*calculate absolute value of a number.

*translate written expressions into numerical expressions.

*apply order of operations with precision.

1.0 With help, the students will have partial success at level 2.0 and level 3.0 content and recognition of academic vocabulary

Page 15: Subtracting Integers Lesson 13 - Orange County …teacherpress.ocps.net/lakeviewmath7/files/2016/08/Lesson-1-3...Through independent work beyond what was taught in class ... to demonstrate

Lesson 1­3 General.notebook

15

September 03, 2014