CCSS.Math.Content.7.NS.A.1 - 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.

CCSS.Math.Content.7.NS.A.1.a - Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

CCSS.Math.Content.7.NS.A.1.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 rational numbers by describing real-world contexts.

CCSS.Math.Content.7.NS.A.1.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.

CCSS.Math.Content.7.NS.A.1.d - Apply properties of operations as strategies to add and subtract rational numbers.

 
Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.7.NS.A.1 Apply And Extend Previous Understandings Of Addition And Subtraction... The Number System - 7th Grade Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

Copyright Date: 2010

(Page last edited 10/08/2017)

1. Add Fractions - Index of six activities
2. Adding and Subtracting Fractions with Like Denominators - Five multiple-choice questions
3. Adding and Subtracting Fractions with Unlike Denominators - Five multiple-choice questions
4. Adding and Subtracting Integers - Using a number line, several examples of adding to a negative integer are given
5. Adding Fractions - Six activities available from Visualizing Fractions
6. Applications of Integers - Deals with negative numbers in the real world; temperature, banking, and sea level measurement are discussed, in addition hockey's use of negative numbers is included
7. Colored Chip Models - Use manipulatives to model addition, subtraction, multiplication, and division with positive and negative integers [includes two practice problems]
8. Compare Fractions - Two activities available from Visualizing Fractions
9. Comparing and Ordering Integers - Number Line practice
10. Comparing Fractions - Summary of ways of comparing fractions [Skillwise factsheet]
11. Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two digit decimal values
12. Estimate Fractional Distance - Watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge.
13. Estimating Decimal Sums and Differences - Five multiple-choice questions
14. Estimating Sums and Differences of Fractions - Five multiple-choice questions
15. Explaining Negative Numbers - Video from YouTube (may be blocked by some school filters)
16. Find Thirteen Ways of Expressing Half - After Dr. Marbles illustrate ways to express one half you look for the other ways.
17. Fraction Models - This tool, an interactive applet, explores several representations for fractions using adjustable numerators and denominators. You can see decimal and percent equivalents, as well as a model that represents the fraction are available for upper grades.
18. Fraction Practice - All operations, mixed practice - (explanations given for wrong answers)
19. Fractions: Rectangle Multiplication - Interactive site from the National Library of Virtual Manipulatives
20. Identify Fractions - Six activities available from Visualizing Fractions
21. Negative Numbers for Children - Learn this card game to help students understand negative and positive numbers.
22. Negative Numbers on a Number Line - Explanation from the Math League
23. Operations with Integers - Add and subtract integers: word problems
24. Operations with Integers - Add and subtract integers
25. Operations with Integers - Complete addition and subtraction sentences with integers
26. Practice with Order of Operations - Ten practice problems [answers available] [from the Wayback Machine Internet Archive.]
27. Rename Fractions - Eight activities available from Visualizing Fractions
28. Rounding Fractions and Mixed Numbers - Five multiple-choice questions
29. Subtracting Fractions - Five activities available from Visualizing Fractions
30. Teaching Operations for Integers - Number line practice, patterns and more.
31. The Number Line - Sea level and temperature examples are given on a vertical number line
32. Tips for Teaching Integers - Helpful tips on teaching number line, negative and positive.
33. Understanding Integers - Lesson 6 from Spy Guys Interactive