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 non-negative rational numbers.

Objective 1.02

Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).

  • Develop and analyze strategies for adding and subtracting numbers.
  • Estimate sums and differences.
  • Judge the reasonableness of solutions.

Resources aligned to this objective

M&M madness
Students will explore fractions, decimals, percents, and circle graphs with M&M's.
Format: lesson plan (grade 5 Mathematics)
By Donna Reble.
I have, who has...?
A chain drill involving teacher made cards on the skills of adding and subtracting fractions, and equivalent fractions. This lesson can serve as a review for many math concepts.
Format: lesson plan (grade 5 Mathematics)
By Sherry Russell.
Everyday, ordinary Olympics
Students will use a stopwatch to time themselves performing in various events, record data, and then compare and order decimals to determine bronze, silver and gold medal winners.
Format: lesson plan (grade 5 Mathematics)
By Linda Hill-Wise.
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 Mathematics)
By Angelica Young.
Adding fractions with unlike denominators/The numbers tell LCD
Students will be able to find the Lowest Common Denominator by using prime factors. They will then add the fractions. This method was developed for students who have problems guessing and checking.
Format: lesson plan (grade 5 Mathematics)
By Wendi Keith.

Resources on the web

Virtual pattern blocks
In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
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
Super Bowl scavenger hunt
In this lesson, one of a multi-part unit from Illuminations, students bring home an activity sheet designed to have families examine some enjoyable (and, sometimes, obscure) questions using mathematics during the Super Bowl game. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Rhythm, math, rhythm
Students are taught to subdivide when counting in order to be rhythmically accurate. (Learn more)
Format: lesson plan (grade 5 Mathematics and Music Education)
Provided by: The Kennedy Center for the Performing Arts
Post-Office 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 4–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Pattern block fractions
In this lesson, one of a multi-part unit from Illuminations, students focus on the identification of fractional parts of a region and record them in standard form. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Parent-Child
Students participate in activities in which they focus on the role of numbers and language in the real-world. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
More fun with fraction strips
In this lesson, one of a multi-part unit from Illuminations, students work with fraction strips to compare and order fractions. (Learn more)
Format: lesson plan (grade 3–5 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
Making a Mini-quilt
Students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show “one-half” and “one-fourth.” (Learn more)
Format: lesson plan (grade 4–5 Visual Arts Education and Mathematics)
Provided by: National Council of Teachers of Mathematics
Get the Picture--Get the Story
Students explore the connections between mathematics and football. (Learn more)
Format: lesson plan (grade K–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Fun with fractions: Looking back and moving forward
In this lesson, one of a multi-part unit from Illuminations, students use a fraction applet to construct various fractions when given the fraction in standard form. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Fun with fractions set model: Looking back and moving forward
This lesson, one of a multi-part unit from Illuminations, gives students another opportunity to explore fractions using the set model. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
First rhythmic composition
Introduces students to rhythm concepts, including the names and symbols associated with music notation. (Learn more)
Format: lesson plan (grade 5 Mathematics and Music Education)
Provided by: The Kennedy Center for the Performing Arts
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