## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
The Number System
Apply and extend previous understandings of numbers to the system of rational numbers.
5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

 Showing 1-10 of 12 resultsResults per page: 10515202550 Sort by: TitleRatingNewest First
ResourceResource Type
Rating
This interactive Java applet game has a user adding positive and negative integers to arrive at a sum of zero. Seven overlapping circles form a ring similar to a Venn diagram. Five blue numbers are in position when the game begins. The remaining nine numbers (from -6 through 7) must be placed in the empty spaces to produce a sum of zero in each circle. There is a unique solution for each puzzle. Instructions for users and teacher information are available through links at the top of the page.
Activity, Interactive Media
This interactive Java applet helps the learner conceptualize the addition of signed numbers. The user clicks and drags red and black colored chips to a circle to represent a problem and then simplifies by placing a red negative chip on top of a positive black chip. The student actually sees the opposite pair disappear. Users may practice problems generated by the computer, themselves or free play with the chips. There are separate tabs to access information for the learner, the instructor and to seek help.
Activity, Interactive Media
This virtual manipulative is designed to help conceptualize the subtraction of integers. Positive integers are black chips and negative integers are red chips. Dragging a single black on top of a red chip together makes the pair disappear (visually emphasizing that the sum is 0). Users may practice problems generated by the computer, themselves or free play with the chips. There are separate tabs to access information for the user, the teacher and to seek help with instructions.
Activity, Interactive Media
This open-ended interactive Flash applet can be used in many ways to develop numeracy concepts and skills. It provides three highlight colors, a hide or reveal feature, and the ability to vary the start number and the increment size.
Activity, Interactive Media
Grade Level: K, 1, 2, 3, 4, 5, 6+
This lesson plan based on a Cyberchase activity, first addresses a common misconception: starting measurement from 1 instead of 0. Then, it introduces negative numbers by extending a number line beyond 0 in the negative (left) direction. It is motivated by the Cyber Squad’s mission to find the captured Cyberchase Council on a particular floor of a tall building as seen in two quicktime videos: “Importance of the Origin" and "Inventing Negative Numbers" (each are cataloged separately). In addition to the learning activity, other support materials are included: handouts, assessments and answer keys.
Lesson Plans, Video
In this quick time video segment from Cyberchase, viewers learn about extending a vertical number line below zero as they watch the CyberSquad rescue the Cyberspace Council, which is being held captive by Hacker in a tall building. This video is also featured in the lesson plan: "Introducing Negative Numbers" (cataloged separately). Teaching Tips and a transcript are included.
Video
The authors of this website have identified 8 common misconceptions that lead to errors in mathematics (and promise to add more as time permits). Topics include: Rounding Numbers, Multiplication can Increase or Decrease a Number, Multiplying Decimals, Decimals and their Equivalent Fractions, Dividing Whole Numbers by Fractions, Adding with Negative Numbers, Calculations with Negative Numbers, and Calculations with Hundreds and Thousands. Each misconception is described in a pdf document which explains how the misconception arises, the rationale for the correct concept, and exercises aimed at reinforcing the correction.
Problem Set, Tutorial