## 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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This four-part E-Example from Principles and Standards for School Mathematics of the NCTM standards highlights how mathematical games can foster mathematical communication as students explain and justify their moves to one another in a fraction game. In addition, a video is included that demonstrates students engaged in thinking about and applying their mathematical concepts and skills. The game "Playing Fraction Tracks" is cataloged separately.
Activity, Game, Interactive Media
Grade Level: 3, 4, 5
Resource is part of a PD collection
This familiar game can be played by one or two players taking turns. Players choose to match equivalent representations of numbers, shapes, fractions, or multiplication facts. The game can be played in clear pane mode, or for added challenge, with the windows closed.
Game
Grade Level: K, 1, 2, 3, 4, 5
This interactive Flash game at the Visual Fractions website gives students open-ended practice with combining fractions as parts of a whole. Students are given varying sets of wedges representing a mix of unit fractions. They construct whole circles (cookies) by combining the pieces, or by naming the fractional balance needed to complete each cookie. Instructions (below the applet), feedback, a timer, and a rate of cookies per minute are provided.
Activity, Interactive Media
Grade Level: 3, 4, 5
With this flexible Flash applet students can explore a wide range of concepts, including addition and subtraction, factors and multiples, fractions, ratios, and combinations. Users place, move and rotate virtual Cuisenaire Rods on a grid which can be enlarged, reduced, moved or printed. It contains a link to page of challenges which can take advantage of this tool.
Activity, Interactive Media
Grade Level: 1, 2, 3, 4, 5
This three lesson unit (15-page pdf) presents activities that guide students to understand the probability terms "certain" and "impossible". In each of the first two lessons students work as a class to conduct an experiment, complete sentences about the contents of a mystery bag, write probability statements, and express probability as common fractions. In the final lesson the class hears a story that contains both certain and impossible events. Students discuss which events are certain and impossible, and then construct a class book illustrating these concepts.
Activity, Lesson Plans, Unit of Instruction
Grade Level: 1, 2, 3
This problem provides students practice in fractions (tenths) and challenges students' addition and subtraction skills. Students are given a cake with the numbers zero to nine on it. They are asked to cut the cake into three pieces with three cuts so that the numbers on each piece add to the same total. The Teachers' Notes page offers rationale, discussion questions, ideas for extension and support, and a printable (pdf) worksheet of the problem.
Activity
Grade Level: 3, 4, 5
This problem requires students to have a good understanding of fractions and challenges children to visualize 3D shapes. Students are asked how to divide a doughnut into eight equal pieces using only three cuts. The Teachers' Notes page includes rationale, suggestions for implementation, discussion questions, and ideas for extension with a link to a worksheet and support.
Activity
Grade Level: 3, 4, 5