Mathematics K-12
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Digital Map Student Learning Instructional Decisions Fractions Representing Comparing Ordering

Math for Teaching: Ways We Use Fractions
This teacher resource provides an at-a-glance overview of the multiple concepts that are represented with a fraction.

Results of Collaborative Action Research on Fractions (2011-2012)
Knowledge Network on Applied Education Research (KNAER) Project This two page resource provides an at-a-glance overview of the goals, results, and implications of the fractions research project.

Professional Learning Introduction to Fractions
Interested in supporting colleagues in deepening their understanding of fractions? See this session plan for ideas.

Resource List
All references used to create the resources included in the Professional Learning about Fractions are identified.

Planning Supports

These resources show the development of fractions learning in the Ontario Mathematics Curriculum.
Curriculum Connections Grades 4-8
Curriculum Connections Grades K-8 - Letter
Curriculum Connections Grades K-8 - Tabloid
Cross Strand Connections Grade 4

Based in current research but designed to be easy for teachers to implement, these resources provide explicit instructional strategies to support improved student learning.
Research Informed Instructional Decisions: Representing
Research Informed Instructional Decisions: Comparing
Research Informed Instructional Decisions: Ordering


Students in the junior grades are learning about representing, comparing and ordering fractions. The teacher teams designed these lessons to evoke and expose student thinking.

Single Lessons
Fractions Representation (Junior-Intermediate)
This lesson allows students to share what they understand about fractions by representing 2/5 or 4/10.

Comparing and Ordering Fractions (Grade 6)
This lesson engages students in ordering fractions on a number line.

Fractions Representations with Set and Area Models (Grade 6)
In this lesson, students use a set of pattern blocks to generate fractions. This allows for discussion of the similarities and differences between set models and area models for part-whole relationships.

Improper Fractions with Set Representations (Grade 6)
Based upon the Gap Closing resource, this lesson requires students to represent improper fractions using a set representation.


Lesson Bundles

Representations (Junior)
Building upon the representation lesson using 2/5 and 4/10, this bundle of five lessons supports students in connecting their knowledge of fractions to ordering on the number line and being more purposeful in the selection of representations for given contexts.

Set Representations (Junior)
These five lessons use a variety of materials to build student understanding of representing fractions using sets.

Equivalence of Fractions (Junior-Intermediate)
This set of four lessons provides multiple learning opportunities for students to develop an understanding of equivalence through a variety of manipulatives and the number line.

Ordering on a Number Line (Grade 7)
This set of four lessons supports students in connecting fractions, decimals and percentages by ordering them on a number line. This lesson could be utilized in earlier grades with simple modifications to the numbers provided to students.

Texts and Transcripts

Text of Digital Paper

Video Transcripts


Foundations to Learning and Teaching Fractions: Addition and Subtraction
This comprehensive literature review provides a synthesis of the research to date about the teaching and learning of fractions from around the world and highlights areas of agreement as well as areas for further research.