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

• 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.

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

CMP2 Correlation
 Book Investigation Objective Accentuate the Negative 1 7-NS1 7-NS1a 7-NS1b 7-NS1d 2 7-NS1 7-NS1a 7-NS1b 7-NS1c 7-NS1d 4 7-NS1 7-NS1d Bits & Pieces III 7-NS1d

Resources

North Carolina's Lessons for Learning

James Bond - 7NS1

• I can determine the absolute value of a quantity.

• 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.

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