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 1.02

Develop fluency in addition, subtraction, multiplication, and division of 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

Trashketball review for ratios, fractions, decimals and percents.
This lesson will help the students with changing from ratios to fractions, fractions to decimals, and decimals to percents.
Format: lesson plan (grade 7 Mathematics)
By David Crumm.
Surface area of rectangular prisms
In CareerStart lessons: Grade seven, page 2.5
In this lesson for grade seven, students calculate the surface area of flattened cardboard boxes and discuss how the concept of surface area is important in various careers.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Stockbrokers: Adding and subtracting integers
In CareerStart lessons: Grade seven, page 2.8
In this lesson for grade seven, students will learn about the careers of stockbrokers, and will attempt to quickly solve the kinds of problems stockbrokers must solve every day.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Simple interest
In CareerStart lessons: Grade seven, page 2.6
In this lesson for grade seven, students learn how to calculate simple interest, and research careers in which people need to understand simple interest.
Format: lesson plan (grade 7 Mathematics)
By Tammie J. Dawkins-Smith and Cynthia Russell.Adapted by Sharon Abell, Peggy Dickey, and Barbara Turner.
Perimeter of rectangles
In CareerStart lessons: Grade seven, page 2.3
In this lesson for grade seven, students practice measuring perimeter and discuss careers in which calculations of perimeter are important.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Percent of a number
In CareerStart lessons: Grade seven, page 2.10
In this lesson for grade seven, students will act as fair planners ordering food for the Dixie Classic Fair. Students will calculate percentages to determine how much food to order.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Interior designers: Working with area
In CareerStart lessons: Grade seven, page 2.4
In this lesson for grade seven, students will act as interior designers, and will measure the walls of the classroom to determine the area of each wall.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Frequency tables
In CareerStart lessons: Grade seven, page 2.1
In this lesson for grade seven, students discuss how frequency tables are used in various careers. Students use survey data collected in class to make their own frequency tables and present them to the class.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey, Carol Taylor, and Monika Vasili.Adapted by Sharon Abell and Barbara Turner.
Football math
Students will calculate team yardage in a football game using sign numbers.
Format: lesson plan (grade 7–12 Mathematics)
By John Keith.
Career skill: Writing expressions and equations
In CareerStart lessons: Grade seven, page 2.9
In this lesson for grade seven, students will translate between natural language sentences and mathematical equations. Students will discuss how this skill may be useful in various careers.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
ACC basketball
The students will use ACC basketball statistics to practice the process of converting fractions to decimals then to percents and will learn how to create and edit a spreadsheet. They will then use this spreadsheet to analyze their data. This unit is done during the basketball season.
Format: lesson plan (grade 6–8 Mathematics)
By Susan Dougherty.

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
Too Big or Too Small?
Students develop number sense through a change in approach to the teaching and learning of mathematics. (Learn more)
Format: lesson plan (grade 7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Real Estate Tycoon
Students design, “build,” and “sell” a house and then simulate investment of the profits in the stock market. (Learn more)
Format: lesson plan (grade 7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Q T Pi Fashions - Learning About Credit Card Use
Students learn the joys and dangers of using credit as they help Credita, the main character in this activity, solve her credit problems. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council on Economic Education
The Product Game: Connections and extensions
In this lesson, one of a multi-part unit from Illuminations, students review strategies for playing the Product Game. In this game, players start with a set of given factors and then multiply to find the product. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Playing the product game
In this lesson, one of a multi-part unit from Illuminations, students learn the rules of and play the Product Game, which challenges them to find a product of several numbers using a game board. (Learn more)
Format: lesson plan (grade 6–7 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