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

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.
Phi: The divine proportion
In CareerStart lessons: Grade six, page 2.5
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 Barbara Strange.
Law enforcement careers: Working with decimals
In CareerStart lessons: Grade six, page 2.1
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 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.
Food service professionals: Working with fractions
In CareerStart lessons: Grade six, page 2.2
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 Barbara Strange.
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.

Resources on the web

Understanding Rational Numbers and Proportions
Students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving. (Learn more)
Format: lesson plan (grade 5–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Travel in the Solar System
This lesson, from Illuminations, affords students the opportunity to think about two aspects of the time required to complete space travel within the Solar System. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Sports 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 Mathematics)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: National Council of Teachers of Mathematics
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)
Provided by: 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/lesson plan (grade 6–8 Mathematics and Science)
Provided by: American Association for the Advancement of Science
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)
Provided by: 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)
Provided by: 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)
Provided by: 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)
Provided by: National Council of Teachers of Mathematics
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)
Provided by: National Council of Teachers of Mathematics