# Build-a-Fraction {Fraction Game}

Major Concept: Equivalent Fractions

The dealer shuffles the digit-deck and deals five cards to each of the players. Each player places his five cards face-up in front of him. The fraction deck is shuffled and placed face-up in the center of the table.

To play the game, the first person to the left of the dealer uses the digit cards to build as many fractions as he can that are equivalent to the fraction on the top of the deck.

If another player thinks that a mistake has been made, he should say “challenge.” If the fraction is equivalent, the challenger loses a point. If not, he earns a point. Play proceeds in this manner until all players have played on the top fraction. Then the top card is turned face-down and play continues. The first player to get a predetermined number of points is the winner of the game. A reasonable number would be twelve.

Once a fraction is built, players can disassemble the fraction and use the same digit cards again to build another fraction. Also, the digit cards can be combined to build two and three digit numbers.

# Harnessing the Power of Play: The Build-a-Fraction Game for Teaching Equivalent Fractions

Greetings, fellow math teachers! As we all know, mathematics isn’t just about solving equations or doing computations; it’s about discovering patterns, understanding relationships, and gaining a deeper understanding of the world. Today, I’m thrilled to share a fantastic math activity that achieves all this in a playful, engaging manner. It’s called Build-a-Fraction, a game designed to reinforce the concept of equivalent fractions.

## Understanding the Concept: Equivalent Fractions

Before we delve into the game, let’s remind ourselves of the importance of equivalent fractions. At the heart of this concept is the understanding that fractions, though they may look different, can represent the same value. For instance, 1/2 is equivalent to 2/4, and 3/6. Mastering this concept allows students to simplify fractions, compare and order fractions, and eventually perform addition and subtraction of fractions with different denominators.

## The Build-a-Fraction Game: An Overview

The Build-a-Fraction game provides an exciting, hands-on way for students to practice and explore the concept of equivalent fractions. With just a deck of digit cards and fraction cards, students create fractions that are equivalent to the fraction drawn from the deck. It’s a game that encourages strategic thinking, number sense, and peer learning.

The premise is simple but engaging. Each player is dealt five digit cards, which they use to construct fractions equivalent to the fraction drawn from the fraction deck. If another player suspects an error in the equivalency, they can challenge, leading to a point-based competition that adds an extra layer of excitement to the game.

### Gameplay Instructions

Let’s delve into the specifics of how to play the Build-a-Fraction game:

1. Setup: Shuffle the digit-deck and deal five cards to each player. Players should place their cards face-up in front of them. Shuffle the fraction deck and place it face-up in the center of the table.
2. Gameplay: The first player to the left of the dealer uses the digit cards to build as many fractions as possible that are equivalent to the fraction on the top of the deck.
3. Challenge: If another player believes that a fraction is not equivalent to the one on the deck, they can issue a challenge. If the fraction is indeed equivalent, the challenger loses a point; if not, they gain a point.
4. Continuation: The game proceeds in this manner until all players have attempted to create equivalent fractions. The top card is then turned face-down, and the game continues with the next fraction card.
5. Winning: The game continues until a player reaches a predetermined number of points—twelve is a reasonable number. This player is declared the winner.

Note that once a fraction is built, it’s not set in stone. Players can disassemble their fractions and use the same digit cards to build other fractions. They can even combine digit cards to build two and three-digit numbers, further extending the mathematical learning potential of the game.

### Accommodations and Modifications

Recognizing the diversity of our classrooms, it’s important to make accommodations and modifications to ensure all learners can participate fully in the Build-a-Fraction game.

1. For students with learning difficulties: Consider using visual aids, like fraction bars or pie charts, to help them see the equivalences. For instance, if the fraction card shows 1/2, you could provide a visual that clearly shows how 2/4 or 3/6 represent the same amount.
2. For students who excel in math: Encourage these students to think of complex fractions, like improper fractions or mixed numbers, which can also be equivalent to thefraction on the card. This will challenge them to use their advanced knowledge and maintain their engagement.
3. For English language learners (ELLs): Simplify the language in the instructions and provide translated instructions if necessary. You can also introduce a glossary of key terms such as ‘equivalent’, ‘fraction’, ‘numerator’, ‘denominator’, etc.
4. For students with ADHD: Incorporate physical movement into the game, such as having students physically move to a different area when they successfully create an equivalent fraction or win a challenge.

## Examples of Gameplay Scenarios

To help you visualize how the Build-a-Fraction game unfolds, let’s walk through a couple of gameplay scenarios:

Scenario 1: The fraction card turned up is 1/2. Player A, holding digit cards 1, 2, 3, 4, and 5, uses 2 and 4 to build the fraction 2/4, an equivalent of 1/2. Player B, believing that 2/4 is not equivalent to 1/2, issues a challenge. After verification, it’s found that 2/4 is indeed equivalent to 1/2, leading Player B to lose a point.

Scenario 2: The fraction card is 3/4. Player A, holding the same cards, uses 3 and 4 to build the fraction 3/4, matching the fraction on the card exactly. Since no challenge is made, no points are awarded or lost.

### Linking to Common Core State Standards (CCSS)

The Build-a-Fraction game aligns perfectly with a number of Common Core State Standards for Mathematics, including:

• 3.NF.A.3: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
• 4.NF.A.1: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models.
• 4.NF.A.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators.

By incorporating the Build-a-Fraction game into your teaching toolkit, you’ll be adding an interactive, engaging way to support the learning of these critical concepts.

As educators, we’re always on the lookout for creative, effective ways to help our students understand complex concepts. With the Build-a-Fraction game, students will have an interactive, engaging means to master equivalent fractions. Moreover, it fosters a spirit of friendly competition that makes the learning process even more enjoyable.

In today’s education climate, the power of play is something we cannot afford to overlook. The Build-a-Fraction game is just one example of how learning can be made fun, engaging, and effective. I hope you’ll give it a try in your classrooms, and share your experiences with it! Remember, the aim is not just to teach, but to kindle a love for learning, especially in the field of mathematics.

Teach joyfully and make math fun. Happy teaching!

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