## Common Core State Standards for Mathematics

Grade(s) 3 resources related to the following standard:
Number and Operations—Fractions
Develop understanding of fractions as numbers.
1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

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In these pattern block activities, students explore geometric models of fractions to discover relations among them, reinforcing their concepts of fractions and providing a visual model for fraction operations. Lessons can be worked on paper or using a pattern block applet. Teacher notes are included.
Activity, Problem Set
Grade Level: 3, 4, 5, 6+
In this 7- minute video Dr. Yukari Okamoto describes the misconceptions students have about fractions based upon the common fraction models that are used in the classroom. Dr. Yukari highly recommends the use of number lines as models of fractional parts, sums and equivalency A transcript of this video is available in PDF format.
Video
The resource booklet contains pattern block activities for grades 3-5. The activities cover a range of math topics including fractions, symmetry, and angles. Each activity includes a list of standards, resources needed, and suggestions for implementation. The resource booklet includes activity sheets and vocabulary cards.
Activity, Game, Instructor Guide/Manual
This interactive Java applet allows users to explore rotations and composing shapes by selecting various shapes to place on the drawing board, then moving and rotating them. There are many other possibilities for instruction including fractions, patterns, ratios, tessellations, symmetry, patterns, and perimeter. Shapes which can be placed on the board include equilateral triangles, isosceles trapezoids, regular hexagons, rhombuses, and squares. Pieces and groups can be cloned, and the colors can be changed. Their dimensions allow them to tessellate easily.
Activity, Interactive Media
Grade Level: K, 1, 2, 3, 4, 5
This interactive applet helps children develop the concept of fractions as division and equal sharing. The aim is to divide the chosen number of pikelets (small thick pancakes in the UK) into equal portions to share among the selected number of people. Users divide each pikelet into equal parts as needed and distribute them to each person to achieve equal shares.
Activity, Interactive Media
In this iOS app students are introduced visually to the concept of fractions by having them identify the simple fraction (denominators 1-12, excluding sevenths and elevenths) represented by pizza picture example. Each round of the game includes ten visual models; at the end of the round students receive a score for accuracy and speed.
Game, Interactive Media, Mobile App
In this fraction activity students are presented with various situations in which they must determine what fraction of the pizza each person would receive. The activity is built around simple fractions and designed so that students record their results and determine a pattern for dividing fractions among a set of people. In addition to the activity, a solution, teacher resource page, and printable page are provided.
Activity