Add+and+Subtract+Rational+Numbers

= 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]
 * 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]

Sixth Grade > Seventh Grade > Eighth Grade
 * 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.

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


 * Resources **

North Carolina's Lessons for Learning

James Bond - 7NS1


 * I can add integers.

"Sign" Your Name - 7NS1


 * I can add integers.
 * I can determine the absolute value of a quantity.

From [|Harding Math Specialist]
 * **7.NS.1 - Adding and Subtracting Positive and Negative Numbers** - [] - 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 -** [] -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 -** [] - A unit using hot air balloons to introduce adding and subtracting integers.
 * **7.NS - Hot Air Balloon Integers on Math Village -** [] - site includes problems, videos, and applets using hot air balloons to introduce integers.
 * **7.NS** - **Integers Web-quest** - [] - 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.

Skills Vocabulary Seems to be a more detailed description of the content to be taught regard Integers (to include rational numbers). No new content.
 * My Humble Opinion **
 * 1) Add rational numbers
 * 2) Subtract rational numbers
 * 3) Represent addition on a number line diagram
 * 4) Represent subtraction on a number line diagram
 * 5) Describe situations in which opposite quantities combine to make 0.
 * 6) Ready for part b
 * 1) Additive inverse