Comparing Fractions

Common Core Math Standards

CCSS.MATH.CONTENT.4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Materials Needed

Measuring cups, all sizes, one or more sets per table group

Fraction bars or pattern blocks if available

Dry rice or beans for scooping

Graph paper

Lesson

Introduction

• Review students’ prior knowledge of unit fractions. Allow students to explore the measuring cups and identify the ¼, ¹/₃, ½ and whole cup scoops, comparing their relative sizes.
• If you have fraction bars or pattern blocks, have students determine the “whole” bar or block and then find its corresponding ¼, ¹/₃, and ½ pieces.

Explicit Instruction/Teacher Modeling

• Draw students’ attention to the fact that as the denominator gets smaller, the size of the scoop gets bigger. Ask students to explain why this is.
• Remind students that the “whole” cup has a denominator of 1 (making the fraction 1/1).
• Encourage students to use the manipulatives available as they work through the Feeding Dogs Fractions Sheet

Independent Work

• Students work alone or with table partners to complete the Feeding Dogs Fractions Sheet.

Review/Closing

• Discuss student answers and have students explain how they arrived at their solutions.

Extension

• Discuss with students how to compare fractional amounts by drawing the fractions on graph paper. Emphasize that in order to compare fractions the whole must be the same. Encourage students to brainstorm how to make a whole that can be used to compare halves thirds and fourths, all at once, using graph paper.

• Have students visit akc.org and choose their favorite dog from the breeds list. Have students find how much to feed their favorite dog using the attached chart.

Further Extension: multiply fractions by feeding the dogs in the Feeding Dogs Fractions Sheet twice a day or 3 times a week.

Resources

Mansourian, Erika. July 15, 2019. Puppy Feeding Fundamentals. Retrieved from https://www.akc.org/expert-advice/health/puppy-feeding-fundamentals/

Dog Breeds (n.d.) Retrieved from https://www.akc.org/dog-breeds/australian-cattle-dog/