Fractions Concepts

Recommended Practice: Build basic fraction concepts from students’ informal understandings of sharing and proportion.

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The Conceptual Basis for Fractions
Video

The Conceptual Basis for Fractions

Fractions > Fractions Concepts > Overview & Tools

This multimedia overview introduces how children’s intuitive understandings of sharing and proportion can serve as a foundation on which to build formal instruction of fraction concepts. This...

Resource Type

Overview

3669 views
Building on Intuitive Understanding
Video

Building on Intuitive Understanding

Fractions > Fractions Concepts > Learn What Works

Dr. Thomas P. Carpenter discusses the importance of building children’s conceptual understanding of fractions based on intuitive ideas about sharing and apportioning objects. He demonstrates...

Resource Type

Expert Interview

3212 views
Equal Sharing in Grade 1
Video

Equal Sharing in Grade 1

Fractions > Fractions Concepts > See How It Works

Watch a teacher guide students through a problem set requiring fair sharing of objects and sets of objects. Using Sharing Cookies Worksheets, she provides differentiated challenges based on...

Resource Type

School Example

3019 views
Teaching Fractions in Grade 2
Video

Teaching Fractions in Grade 2

Fractions > Fractions Concepts > See How It Works

Watch a second-grade teacher describe a review lesson designed to check understanding of fractions, decimals, and percents. This classroom presentation was shown in the topic National Mathematics...

Resource Type

School Example

2250 views
Representations of Part-Whole Relationships
Video

Representations of Part-Whole Relationships

Fractions > Fractions Concepts > See How It Works

Listen to how a math coach works with second graders on fair sharing and fraction equivalence challenges. The lesson culminates with students exploring parts of a whole and equivalencies,...

Resource Type

School Example

2479 views
Same Parts, Different Whole: Lesson Plan and Worksheet
Document

Same Parts, Different Whole: Lesson Plan and Worksheet

Fractions > Fractions Concepts > See How It Works

A fourth-grade teacher’s lesson on finding fractional parts of rectangular arrays and a group of objects requires students to compare the same fractional parts of different-size wholes. Related...

Resource Type

Sample Material

2675 views
Sharing Cookies Worksheet
Document

Sharing Cookies Worksheet

Fractions > Fractions Concepts > See How It Works

As seen in Equal Sharing in Grade 1, a teacher uses the progressively more difficult sharing challenges on this worksheet to differentiate instruction. Related Files: Equal Sharing in Grade 1...

Resource Type

Sample Material

3046 views
Fractions With Cuisinaire Rods
Document

Fractions With Cuisinaire Rods

Fractions > Fractions Concepts > See How It Works

Students use the worksheet to record their explorations of equivalent fractions using Cuisenaire Rods. Their work is shown in Representations of Part-Whole Relationships. Related Media and...

Resource Type

Sample Material

2836 views
Learning Together About Building on Informal Understandings of Fractions
Document

Learning Together About Building on Informal Understandings of Fractions

Fractions > Fractions Concepts > Overview & Tools

Math coaches and specialists can use this professional development sequence to help primary grade teachers learn about the importance of working with even very young children on informal fraction...

Resource Type

Tool

2488 views
Discussion Prompts: Initial Fraction Concepts
Document

Discussion Prompts: Initial Fraction Concepts

Fractions > Fractions Concepts > Overview & Tools

Teachers can use these prompts to help children extend their thinking during informal encounters with fractions. The question and strategy prompts remind teachers how they can take advantage of...

Resource Type

Tool

2465 views
Creating Story Problems: Initial Fraction Concepts
Document

Creating Story Problems: Initial Fraction Concepts

Fractions > Fractions Concepts > Overview & Tools

Use this planning tool to create problems that build on children’s informal understanding of fractions. The planner outlines the components necessary to construct a progression of...

Resource Type

Tool

2335 views
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