Standard 1: Develop an understanding of fractions.

Students consider if two different shaped halves of the same rectangle represent equal shares.

Type: Formative Assessment

Students consider if two different shaped fourths of the same rectangle represent equal shares.

Type: Formative Assessment

Students partition a rectangle into four equal parts and consider what fraction represents the whole.

Type: Formative Assessment

Students partition three different circles into two, three, and four equal parts and consider what fraction each part represents.

Type: Formative Assessment

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Type: Image/Photograph

In this Math and Social Studies Civics lesson plan, students will use their mathematical knowledge of fractions as equal groups, and knowledge of wholes, and fourths. Additionally, students will use two interrelated symbols representing Florida, to design a new Florida State Flag into four equal parts. Students will discuss and reason why Marjory Stoneman Douglas and the Florida Everglades were chosen as symbols of Florida, and brainstorm other possible symbols that could be used based on their personal experiences. As students design their flag, they will determine the best way to partition the rectangular shape into fourths, so that the four areas are equal-sized parts.

Type: Lesson Plan

Students will understand the concept of halves, thirds and fourths through the exploration of circles, squares and rectangles. Students will recognize that a half of a circle may not look like a half of a square or a rectangle. Also, students will demonstrate that halves, thirds and fourths of different sizes of circles, squares and rectangles will not look the same.

Type: Lesson Plan

Use this interactive lesson to help your students learn about fractions by partitioning circles and rectangles into two, three, or equal-sized parts and by using a real life scenario.

Type: Lesson Plan

In this lesson, students will gain experience partitioning rectangles and circles into equal shares of halves, thirds, and fourths.

Type: Lesson Plan

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial.

Type: Original Student Tutorial

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial.

Type: Original Student Tutorial

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial. 

Type: Original Student Tutorial

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

Learn to partition a rectangular chocolate bar into equally sized pieces by making rows and columns in this interactive tutorial. 

Note: This tutorial extends beyond partitioning a rectangle into 4 equal sized shares and explores partitioning into higher numbers.

Type: Original Student Tutorial

Unlock an effective teaching strategy for teaching adding fractions in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Unlock an effective teaching strategy for connecting partitioning circles and circle graphs in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Unlock an effective teaching strategy for decomposing fractions in multiple ways in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Unlock an effective teaching strategy for using pattern blocks to explore fraction concepts in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Type: Problem-Solving Task

This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

• Build equivalent fractions using numbers and pictures.
• Compare fractions using numbers and patterns
• Recognize equivalent simplified and unsimplified fractions

Type: Virtual Manipulative