LEARN NC

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

Goal 1

Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.

Objective 1.05

Use area or region models and set models of fractions to explore part-whole relationships.

  • Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths).
  • Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons.
  • Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths.
  • Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers.
  • Understand and use mixed numbers and their equivalent fraction forms.

Resources aligned to this objective

Talking geometry through quilts
This lesson plan is designed to use quilts as a visual prompt to review mathematics vocabulary associated with geometry in the third grade curriculum. A hands-on activity serves as a practice and review at the conclusion of this lesson.
Format: lesson plan (grade 3 Mathematics)
By Rendy King.
PIZZA = "Fractions: Any Way You Slice It!"
During this lesson, students will explore and investigate the relationships among fractions. Students will use paper pizzas divided into fractional parts to compare equivalent fractions. They will see part-whole fractions as fair shares and begin to understand that the parts must be equal.
Format: lesson plan (grade 3 Computer/Technology Skills and Mathematics)
By Alta Allen.
Fractions on Kid Pix
Students will create illustrations of fractions as parts of a whole and parts of a set using Kid Pix computer program.
Format: lesson plan (grade 3 Computer/Technology Skills and Mathematics)
By Ann Keable.
Fractional parts with pattern blocks
Through this lesson students will understand that fractions are part of a whole. Students will identify halves, thirds, fourths, fifths, sixths, eights of a whole. They will use terms numerator, denominator and write fractions from models of fractions. Also, they will use sheets of paper to fold for different size fractions and label each part to see proportion size from least to greatest or greatest to least.
Format: lesson plan (grade 3 Mathematics)
By Brenda Collins.
Fraction fun
Introduce fractions and mixed numbers using paper plates.
Format: lesson plan (grade 3 Mathematics)
By Lourine Grant.

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
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
Inch by inch
In this lesson, students use an actual ruler to represent various fractions as lengths. (Learn more)
Format: lesson plan (grade 3 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