Dice Game Competition
Project Overview
Purpose
In this project you will create and play a dice game that will help you use the skills you learned throughout this module.
Process
Towards the end of each lesson, under Project Connection, you may be prompted to complete a part of the Module 5 Project.
Make sure to save all work from each Project Connection in your course folder. You will submit your Module 5 Project to your teacher at the end of Module 5. Check with your teacher about how you should submit your project work before you begin the project.
Presentation
The most important part of your project presentation is clearly explaining and supporting your reasoning with relevant visuals and calculations. Make sure to show all your work.
Review the Module 5 Project Rubric to ensure you understand how you will be assessed on this project.
Introduction
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Throughout this project, you will be playing the dice game you created. You will accumulate points to see who is the ultimate RATIONAL winner. Your teacher will decide on the point system; however, it is your job to play the game to the best of your ability. Read the instructions carefully to make sure you win the most points possible.
- You will complete Part 1 during Lesson 1.
- You will complete Part 2 during Lesson 2 and Lesson 3.
- You will complete Part 3 during Lesson 4 and Lesson 5.
Materials
To play this game, you will need the following materials:
Part 1: Equivalent Rational Expressions
Open the Equivalent Rational Expressions Dice applet.
- Use the applet and roll the dice three times. For each roll, determine the following:
- Are the two expressions equivalent?
- If the expressions are equivalent, state a fraction that one expression could be multiplied by in order to obtain the other expression.
Record the information in a table similar to the following. If none of your three dice rolls includes a pair of equivalent rational expressions, continue rolling the dice until you find a pair of equivalent rational expressions to include in your chart. (You should only record a maximum of four results: three dice rolls and, if necessary, a fourth dice roll showing a pair of equivalent rational expressions.)
| Roll |
Expression on Die 1 |
Expression on Die 2 |
Are They Equivalent? |
If yes, what fraction was multiplied? |
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- Create your own pair of equivalent expressions. Ensure that your expressions have two non-permissible values. Record your results.
Save your chart in your course folder. Then return to Lesson 1.
Part 2: Operations on Rational Expressions
Section 1
The game you played in Part 1 is similar to the version on page 267 of the textbook. Follow the instructions described in steps 1 to 4 of “Designing and Building Your Dice” on page 267 of the textbook.
The instructions explain that you need three cube nets. So, before you get started, print three copies of Net of a Cube.
Save a copy of your cube nets in your course folder. Then return to Lesson 2.
Section 2
Return to page 267 of the textbook. With a partner, play the game as described in questions 5 and 6. You may need to provide some help to your partner to simplify his or her rational expressions.
Think about the ways you could design a high-scoring game by answering questions A, B, C, and D on page 267 of the textbook.
Save a copy of your responses in your course folder. Then return to Lesson 3.
Part 3: Solving Rational Equations
Section 1
Print a copy of Solving Rational Equations Dice.
Notice that each die has one empty side.
- The first die has a space labelled “Student problem.”
- The second die has a space labelled “Solution to student problem.”
In order to play the game by completing the empty sides, you must first create an application question. The application question must result in a rational equation that includes the following:
- The equation must have two rational expressions.
- The numerators and denominators can only be monomials or binomials.
- The equation must have an addition or subtraction sign in it and an equal sign.
- You must provide a full solution to the problem that has been checked for extraneous solutions.
If you are having problems coming up with your application question, search the Internet for “real-life rational equation applications.”
Once your question is done, have your teacher check your question for appropriateness and correctness.
Once your teacher has checked your question, complete the empty sides of the dice. On the first cube, write out your problem in the empty space. On the second cube, write out the solution in the empty space.
Now cut and tape each net together into the shape of a die.
Save your dice in a safe place. You will need the dice to complete the Project Connection in Lesson 5. Then return to Lesson 4.
Section 2
Roll the dice three separate times. Solve the equation or word problem to see if the solution is the one that you rolled on the other die. Remember to check to see if there are any extraneous solutions. Record your results in a table like the following.
| Roll |
Equation |
Solution |
Does the Solution Match the Equation? |
Were There Any Extraneous Solutions? |
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Save your table in your course folder. Then return to Lesson 5.
Project Assessment
Your Module 5 Project will be evaluated by your teacher using the evaluation guidelines in the project rubric. Read the rubric carefully. Make sure you are aware of how you will be assessed. You can print or save a digital copy of the Module 5 Project Rubric as a guide to help you complete your project.
