Standard Course of Study :: Mathematics — Grade 6

LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 1

Number and Operations - The learner will understand and compute with rational numbers.

Objective 1.04

Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.

  • Analyze computational strategies.
  • Describe the effect of operations on size.
  • Estimate the results of computations.
  • Judge the reasonableness of solutions.

Resources aligned to this objective

Camp Earth Bound: Problem Solving and Finding for Fun
Students will work together in small groups of four to six students to solve the following word problems. Their solutions will require them to practice interview techniques and create a database and/or spreadsheet of their results. This information will be the basis of the answers to the following eight word problems. Skills such as area, cost, calorie count, ratio, percentage and scale, as well as persuasive writing will be applied.
Format: lesson plan (grade 6 English Language Arts and Mathematics)
By Jamie Hulse.
Discovering Pi
This lesson introduces students to Pi through the discovery method of instruction. Students practice simple measuring skills to discover the relationship between the circumference and diameter of circular objects (Pi).They will be able to use this concept to find the circumference of any circle when the diameter is given.
Format: lesson plan (grade 6 Mathematics)
By Betty Shell.
Domino Fractions
This is a review activity on the lesson of adding and simplifying fractions. This activity will provide a new approach to seeing a fraction and simplifying it, and the activity will allow students to set up and solve equations. This activity also works for subtraction of fractions.
Format: lesson plan (grade 5–6 Mathematics)
By Angelica Young.
Food service professionals: Working with fractions
This lesson for grade six demonstrates how an understanding of fractions is important in the food service industry. Students will use operations with fractions to determine how many recipes to make for a given scenario.
Format: lesson plan (grade 6 Mathematics)
By Kim Abrams, Mike McDowell, and and Barbara Strange.
Fruit Loops with Fractions
This activity provides access to using visual and hands-on practice in solving problems with fractions. By using cereal, each individual student will be able to work individually and as a group in using different methods of working with fractions, and practice their skills in addition, multiplication, division and subtraction. A prior knowledge of the basic multiplication tables and common multiples will be very advantageous in working through this activity.
Format: lesson plan (grade 6 Mathematics)
By Deanne Davis.
Law enforcement careers: Working with decimals
In this lesson for grade 6, students will perform basic math operations with decimals and will understand how math is used in law enforcement careers.
Format: lesson plan (grade 6 Mathematics)
By Kim Abrams, Mike McDowell, and and Barbara Strange.
Phi: The divine proportion
The "divine ratio" is valued by designers, artists, and architects because of its interesting and and unique properties. In this lesson for grade six, students learn about this ratio and use it to create a work of art.
Format: lesson plan (grade 6 Mathematics)
By Kim Abrams, Mike McDowell, and and Barbara Strange.
The Prime Team
Students will learn their prime numbers by creating and manipulating their own Sieve of Eratosthenes.
Format: lesson plan (grade 6 Mathematics)
By Lori Bradley.
See How They Run! The 100 Meter Dash
Middle level students will collect times as they run the 100 meter dash. These times will be depicted through various graphic representations (bar, circle, histogram). Times will be compared to current world records for the 100 meters. Students will decide which Math class ran fastest and support that choice in short essay form. They will also try to determine the faster gender based on the data collected.

This lesson plan is a unit filled with related lesson plans. One or two parts of this project could be completed as a stand-alone lesson, or the entire set of activities and extensions could be completed for an involved, integrated unit.
Format: lesson plan (grade 6–8 Mathematics)
By Holly Smith.

Lesson plans on the web

Airport Numbers
Students participate in activities in which they focus on the role of numbers and language in real-world situations. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Classic Middle-Grades Problems for the Classroom
Students work in groups on classic problems that can be represented and solved in several ways. (Learn more)
Format: lesson plan (grade 6 Mathematics)
Provider: National Council of Teachers of Mathematics
Commutative rectangle
In this lesson, one of a multi-part unit from Illuminations, students investigate the concepts of identity, inverse, commutativity, and associativity using a geometric model. (Learn more)
Format: lesson plan (grade 6 Mathematics)
Provider: National Council of Teachers of Mathematics
Create an address number: Grades 5-6
In this lesson, one of a multi-part unit from Illuminations, students look for all the possible solution sets for a mathematics problem involving a three-digit house number. (Learn more)
Format: lesson plan (grade 5–6 Mathematics)
Provider: National Council of Teachers of Mathematics
The factor game
In this Illuminations lesson, students play the Factor Game, which engages students in a friendly contest where strategies involve distinguishing between numbers with many factors and numbers with few factors. (Learn more)
Format: lesson plan (grade 3–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Fair division
In this Science Update, from Science NetLinks, students hear about an interactive algorithm that can be used in the resolution of conflicts surrounding the division of rooms and rent among roommates. (Learn more)
Format: activity (grade 6–8 Science and Mathematics)
Provider: American Association for the Advancement of Science
Football finances
In this lesson, one of a multi-part unit from Illuminations, students analyze pictures of football stands to make estimates related to attendance at the Super Bowl, and then they make estimates about the television audience. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
A Lunch-In Affair
Students apply previous learning to decision-making that involves purchasing and preparing at least a five-item menu. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provider: National Council of Teachers of Mathematics
Magic Squares
This lesson, from Illuminations, explores magic squares from both a historical and mathematical perspective. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provider: National Council of Teachers of Mathematics
Making your own product game
In this lesson, one of a multi-part unit from Illuminations, students review strategies for playing the Product Game. (Learn more)
Format: lesson plan (grade 3–8 Mathematics)
Provider: National Council of Teachers of Mathematics
The Next Billion
Students predict when the world's population will reach 7 billion. (Learn more)
Format: lesson plan (grade 6 Mathematics)
Provider: National Council of Teachers of Mathematics