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Downloads

Rules (.doc)
Game board (.pdf)
Fraction cards (.pdf)
Write up sheet
(.pdf)

Students build authentic connections with part-to whole realtionships while playing "Action Fractions"

Object of Game:
o To be the first to build 3 "wholes"
(each hexagon on the game board represents one "whole")


Grade Level
: 3rd - 5th

Mathematical concepts this game reinforces:
Helps students construct knowledge of the relationships between fractional parts, while at the same time assisting children in learning the skills of adding, subtracting, multiplying and dividing fractions.

Materials Needed:
o A collection of Pattern Blocks
o A board with three hexagons for each player download game board
o One deck of fraction cards that go with the game download fraction cards
o Action Fractions Write up sheet download write up sheet

Number of Players:
o This game can be played with a minimum of two players. For more than two players, split the group into two teams.

Game Play:
1. Game is played in pairs
2. Each pair of players needs a collection of Pattern Blocks to play with
3. Each player has his or her own Action Fractions Game Board
4. Each pair has one set of Action Fractions Cards
5. Players take turns drawing one fraction card at a time. Player must name the fraction and build the fractional equivalent on his or her own game board.
6. Players continue game play until one player exactly completes three "wholes"
7. At the end of the game the winner records how they completed three "wholes," and the loser records how close they were to "three" (download write up sheet)

Extension Ideas:
o Have the players play to "5" and record their process
o Make two hexagons = 1 whole - so the players play to 1 ½.


Questions to ask: What is the value of the green block? What is the value of the blue block? The red block? The yellow block?

  NCTM Standards

Number and Operations Standards

o Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.
o Use models, benchmarks, and equivalent forms to judge the size of fractions.
o Recognize and generate equivalent forms of commonly used fractions, decimals, and percents;

Algebra Standards
o Describe, extend, and make generalizations about geometric and numeric patterns.
o Represent and analyze patterns and functions, using words, tables, and graphs.

Geometry Standards
o Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
o Investigate, describe, and reason about the results of subdividing, combining, and transforming shapes.
o Explore congruence and similarity.
o Make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions.

Problem Solving Standards
o Build new mathematical knowledge through problem solving.
o Solve problems that arise in mathematics and in other contexts.
o Apply and adapt a variety of appropriate strategies to solve problems.
o Monitor and reflect on the process of mathematical problem solving.

Communication Standards
o Organize and consolidate their mathematical thinking through communication.
o Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
o Analyze and evaluate the mathematical thinking and strategies of others.
o Use the language of mathematics to express mathematical ideas precisely.

Connections Standards
o Recognize and use connections among mathematical ideas.
o Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

Representation Standards

o Create and use representations to organize, record, and communicate mathematical ideas.
o Select, apply, and translate among mathematical representations to solve problems.
o Use representations to model and interpret physical, social, and mathematical phenomena.