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

a. Describe situations in which opposite quantities combine to make 0. [7-NS1a]

Example: A hydrogen atom has 0 charge because its two constituents are oppositely charged.

b. Understand p + q as the number located at 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. [7-NS1b]

c. Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. [7-NS1c]

d. Apply properties of operations as strategies to add and subtract rational numbers. [7-NS1d]

ACOS 2009 Correlation
Sixth Grade

1.3 - Formulating algorithms using basic operations on fractions and decimals.

2 - Solve problems involving decimals, percents, fractions, and proportions.

Seventh Grade

1 - Demonstrate computational fluency with addition, subtraction, multiplication, and division of integers.

1.1 - Formulating algorithms for performing operations on integers.

1.2 - Determining with algorithms to use when performing operations on integers.

2.1 - Determining absolute values of integers by finding their distance from zero.

3 - Solve problems requiring the use of addition, subtraction, multiplication, and division on rational numbers.

3.1 - Describing the method used to solve problems involving rational numbers.

3.5 - Using inverse properties of rational numbers with respect to addition and multiplication.

Eighth Grade

1.3 - Utilizing alternative representations to solve problems involving rational numbers.

7.NS.1 - Adding and Subtracting Positive and Negative Numbers - http://nrich.maths.org/5947 - an introduction to adding and subtracting positive and negative numbers -- this is a little different than ones I've seen before and incorporates ideas of two color counters and fact families.

7.NS.1 - Worthless Words Contest - Worthless Words.pdf - The attached pdf has a worthless words chart (3 per page) and a list of worthless words that my classes found one year (not an exhaustive list). A word is a "worthless word" if the values associated with he letters in each word add up to zero.

7.NS.1 - Hot Summer...Cold Winter -http://www.yummymath.com/2012/hot-summer-cold-winter-2/ -Problem asking students to choose hottest and coldest temperatures from a list. They then explore the differences in the hottest and coldest temperatures. A number line representation is used.

7.NS - Hot Air Balloon Integers on Math Village -http://www.mathvillage.info/node/62 - site includes problems, videos, and applets using hot air balloons to introduce integers.

## 7-NS1

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

a. Describe situations in which opposite quantities combine to make 0. [7-NS1a]

b. Understand

p+qas the number located at a distance |q| fromp, in the positive or negative direction depending on whetherqis 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. [7-NS1b]c. Understand subtraction of rational numbers as adding the additive inverse,

p - q = p + (-q).Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. [7-NS1c]d. Apply properties of operations as strategies to add and subtract rational numbers. [7-NS1d]

ACOS 2009 CorrelationSixth Grade

- 1.3 - Formulating algorithms using basic operations on fractions and decimals.
- 2 - Solve problems involving decimals, percents, fractions, and proportions.

Seventh Grade- 1 - Demonstrate computational fluency with addition, subtraction, multiplication, and division of integers.
- 1.1 - Formulating algorithms for performing operations on integers.
- 1.2 - Determining with algorithms to use when performing operations on integers.
- 2.1 - Determining absolute values of integers by finding their distance from zero.
- 3 - Solve problems requiring the use of addition, subtraction, multiplication, and division on rational numbers.
- 3.1 - Describing the method used to solve problems involving rational numbers.
- 3.5 - Using inverse properties of rational numbers with respect to addition and multiplication.

Eighth GradeCMP2 CorrelationBookInvestigationObjective7-NS1a

7-NS1b

7-NS1d

7-NS1a

7-NS1b

7-NS1c

7-NS1d

7-NS1d

ResourcesNorth Carolina's Lessons for Learning

James Bond - 7NS1

"Sign" Your Name - 7NS1

From Harding Math Specialist

7.NS.1 - Adding and Subtracting Positive and Negative Numbers- http://nrich.maths.org/5947 - an introduction to adding and subtracting positive and negative numbers -- this is a little different than ones I've seen before and incorporates ideas of two color counters and fact families.7.NS.1 - Worthless Words Contest- Worthless Words.pdf - The attached pdf has a worthless words chart (3 per page) and a list of worthless words that my classes found one year (not an exhaustive list). A word is a "worthless word" if the values associated with he letters in each word add up to zero.7.NS.1 - Hot Summer...Cold Winter -http://www.yummymath.com/2012/hot-summer-cold-winter-2/ -Problem asking students to choose hottest and coldest temperatures from a list. They then explore the differences in the hottest and coldest temperatures. A number line representation is used.7.NS - Hot Air Balloon Unit -http://www.supermathunits.com/files/hot_air_ballon_unit.pdf - A unit using hot air balloons to introduce adding and subtracting integers.7.NS - Hot Air Balloon Integers on Math Village -http://www.mathvillage.info/node/62 - site includes problems, videos, and applets using hot air balloons to introduce integers.7.NS-Integers Web-quest- http://teacherweb.com/MA/KingPhilipMiddleSchool/MrsMcGovern-7thGradeMathematics/ap3.aspx/ - An integers web-quest with topics coordinate plane, history of negative numbers, ruled for integer operations, integers in everyday life and others.7.NS-Challenge Exercises: Integer Word Problems- a "Math Goodies" page where students can practice integer word problems.My Humble OpinionSkills

- Add rational numbers
- Subtract rational numbers
- Represent addition on a number line diagram
- Represent subtraction on a number line diagram
- Describe situations in which opposite quantities combine to make 0.
- Ready for part b

Vocabulary- Additive inverse

Seems to be a more detailed description of the content to be taught regard Integers (to include rational numbers). No new content.