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Domain-Subdomain #: MAFS.6.NS.3.5Archived Standard

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.

Domain-Subdomain Information

General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: The Number System
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Apply and extend previous understandings of numbers to the system of rational numbers. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Formative Assessments

  • Relative Fractions Students are given positive and negative fractions and asked to explain their meanings within the context of a problem.
  • Relative Integers Students are asked to use numbers to represent gains/losses and to interpret the meaning of zero in the context of football.
  • Relative Decimals Students are asked to explain the meaning of positive and negative decimals within the context of a problem.
  • Rainfall Change Students are asked to interpret values given in a chart that represent positive and negative deviations from average rainfall.

Lesson Plans

  • Too Hot, Too Cold-6th Grade STEM Lesson A two day STEM lesson where students get a hands-on experience understanding positive and negative integers. Students will understand how temperature demonstrations and their own created models are used to visualize positive and negative integers in relation to 0 in real-world settings. Students will summarize their understanding of the relationship between positive and negative integers in relation to 0 for the evaluation of this lesson in a journal format.
  • The Layers of the Atmosphere, Guest Starring the Integers! Students will learn the functions and characteristics of the four main layers of Earth's atmosphere. They will also determine the thickness of each layer and display them to scale. Students will plot the layers' temperatures, noting the change in temperature from the bottom to the top on a number line.
  • Raja Rangoli Rangoli is a traditional Indian art that is used in decorating the entrance of the house to welcome guests. In this activity students will use the concept of lines of symmetry to select the best rangoli design for a school event. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx
  • Understanding Integers This lesson is an introduction to integers. Students will compare, order, and describe real-life situations using positive and negative whole numbers. The concepts of opposites and vertical as well as horizontal number lines are addressed.
  • Positive or Negative, It's All About Shopping! This lesson introduces students to the concept of negative and positive integers as opposites and as indicators of movement, beginning with elevation and ending with real-world application to money.
  • Positive, Zero, or Negative? This lesson involves students using positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of zero in each situation. Students will understand the positive and negative numbers are used together to describe quantities having opposite values.

Original Student Tutorial

  • Rational Numbers in Alaska Follow Matteo as he explores opposite numbers, positive and negative rational numbers, and zero in real-world contexts while planning and going on a cruise in Alaska in this interactive tutorial.

Problem-Solving Tasks

  • Mile High Students are asked to reason about and explain the position of two locations relative to sea level.
  • Distances on the Number Line 2 The purpose of this task is meant to reinforce students' understanding of rational numbers as points on the number line and to provide them with a visual way of understanding that the sum of a number and its additive inverse (usually called its "opposite") is zero.
  • It's Warmer in Miami The purpose of this task is for students to apply their knowledge of integers in a real-world context.

Collections

STEM Lessons - Model Eliciting Activity

  • Raja Rangoli Rangoli is a traditional Indian art that is used in decorating the entrance of the house to welcome guests. In this activity students will use the concept of lines of symmetry to select the best rangoli design for a school event. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

MFAS Formative Assessments

  • Rainfall Change Students are asked to interpret values given in a chart that represent positive and negative deviations from average rainfall.
  • Relative Decimals Students are asked to explain the meaning of positive and negative decimals within the context of a problem.
  • Relative Fractions Students are given positive and negative fractions and asked to explain their meanings within the context of a problem.
  • Relative Integers Students are asked to use numbers to represent gains/losses and to interpret the meaning of zero in the context of football.

Original Student Tutorials Mathematics - Grades 6-8

  • Rational Numbers in Alaska Follow Matteo as he explores opposite numbers, positive and negative rational numbers, and zero in real-world contexts while planning and going on a cruise in Alaska in this interactive tutorial.
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