LEARN NC

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

Goal 1

Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.

Objective 1.03

Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.

Resources aligned to this objective

Fraction/Decimal War
This lesson plan introduces a game that will reinforce fractions and decimals. This activity is best played in groups of 3-4. You may choose to use as an activity when work is completed or as a center activity.
Format: lesson plan (grade 4 Mathematics)
By Christine Sisco.
Fraction funnies
Students complete a fraction exercise in which they are given clues to find the answer to a joke, and then make up their own "Fraction Funny" sheet using their own jokes (riddles) and clues.
Format: lesson plan (grade 4 Mathematics)
By Alisan Royster.
Estimating rational numbers
Students round fractions and mixed numbers to their closest whole number by first changing the rational numbers into decimal numbers.
Format: lesson plan (grade 4 Mathematics)
By Doreen Castelloe.

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
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
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
Parts of a square
In this lesson, one of a multi-part unit from Illuminations, students investigate the ways shapes can be divided into equal pieces with one or two cuts. (Learn more)
Format: lesson plan (grade 3 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 and investigating fraction strips
In this lesson, one of a multi-part unit from Illuminations, students make and use a set of fraction strips to represent the length model, discover fraction relationships, and work with equivalent fractions. (Learn more)
Format: lesson plan (grade 3–4 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
Investigating fractions with pattern blocks
This lesson, one of a multi-part unit from Illuminations, promotes problem-solving and reasoning with fractions as students investigate the relationships between various parts and wholes. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Investigating fraction relationships with relationship rods
In this lesson, one of a multi-part unit from Illuminations, students use relationship rods, which are wooden or plastic rods in ten different colors, to explore fraction relationships. (Learn more)
Format: lesson plan (grade 3–4 Mathematics)
Provided by: National Council of Teachers of Mathematics
Investigating equivalent fractions with relationship rods
In this lesson, one of a multi-part unit from Illuminations, students investigate the length model by working with relationship rods to find equivalent fractions. (Learn more)
Format: lesson plan (grade 3–4 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
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
Exploring the value of the whole
In this lesson, one of a multi-part unit from Illuminations, students consider the size or value of the same fraction when different “wholes” are compared. This lesson promotes problem-solving and reasoning as the students compare similar fractions. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Expanding our pattern block fraction repertoire
In this lesson, one of a multi-part unit from Illuminations, students expand the number of fractions they can represent with pattern blocks by increasing the whole. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics