Operations with Fractions

This collection of resources includes tools that teachers can use when introducing and modeling operations with fractions. These handy tools can be used for whiteboard demonstrations and some also provide students with opportunities to manipulate the models. Additional resources include solving word problems with fractions and estimation using benchmark fractions.

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Replies: 4
Created:01-01-2013 by bethb
Last Post03-16-2013by Uncle Bob

Teachers can use this interactive tool to help students build a conceptual understanding of adding fractions with common denominators by linking visual models to procedures. Students first add using models, and then progress to using numbers. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use.

Teachers can use this interactive tool to help students build a conceptual understanding of subtracting fractions with common denominators by linking visual models to procedures. The page includes a video demonstration of the tool. Free registration is required to use the tool. A paid subscription is necessary to access curriculum materials and allow full student use.

Teachers can use this interactive tool to help students build a conceptual understanding of adding fractions with uncommon denominators by linking visual models to procedures. Students make use of fractions with a value of one. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use.

Teachers can use this interactive tool to help students build a conceptual understanding of subtracting fractions with unlike denominators by linking visual models to procedures. Students make use of fractions with a value of one. The page includes a video demonstration of the tool. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use.

In this virtual manipulative, students are given two fractions with unlike denominators, and shapes divided into equal pieces that represent those fractions. Students find equivalent fractions with a common denominator by re-dividing those shapes. They then add the resulting fractions, and the applet shows the result in a new shape. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page.

Teachers can use this interactive tool to help students build a conceptual understanding of what it means to multiply with fractions. The tool includes word problems and paraphrase applications of the word problems, visual models, and equations. It can be used to model the use of multiplication to find the product for both "groups of" and "parts of" problems. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use.
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This interactive Flash applet develops children's fraction concepts (partitioning, equivalence, and unit) by building on their informal understanding of rational numbers in the familiar context of sharing cookies fairly among friends. Users decide on the number of friends, the shape and number of the cookies, and how to cut and distribute them equally. The activity is very flexible and incorporates multiple representations of fractions, area models, numerical symbols, and voice cues. Downloadable pdfs of cookie images are provided as well as a User Manual that includes implementation suggests and a review of research.

This collection of lessons, interactive Flash exercises and teacher utilities supports the learning of fraction concepts using side-by-side symbolic and pictorial representations. The lessons cover identifying, comparing, renaming and operating with fractions using circle and number line models. The Fraction Maker feature allows a teacher to create visual models to illustrate those same topics with fractions chosen by the user. The site includes student games and worksheets as well as suggestions and resources for the teacher.

This interactive Flash activity gives students an opportunity to visually model and calculate six different types of fraction applications, all in the context of solving word problems. Types of problems include finding a fraction of a number, using a known part to find the whole or other part, and problems using the four operations. A video demonstration introduces the method, and then students work on problems. Teachers can track a student's progress throughout the problem sets.

This interactive game provides an opportunity for students to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Players move markers a total distance that is less than or equal to the random target fraction, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board using as few fraction target cards as possible. Instructions and exploration questions are included.

Teachers can use this interactive tool to help students develop fraction sense. After a teacher places a fraction, decimal, or expression on the screen, students determine which given benchmark number it is closest to. An adjustable number line supports conceptual understanding. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use.