Always ask yourself, How are the players learning about geometry by using it in the game?

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Project Goal You are to create a board game that will use a coordinate grid and transformations (reflections, translations, and rotations). The board game can be of any theme and will include other game features such as dice, spinners, cards, and various game pieces. Remember that the main learning skill of the game is how to use a coordinate grid and transform objects. Always ask yourself, How are the players learning about geometry by using it in the game? This project will have a Math, English, and Art mark assigned to it. You will be responsible for presenting your game to another group of intermediate students (outside of our class) who will evaluate your design and how much fun it was to play. Game Design & Creation Process 1. Choose a type of game you want to create (strategy, luck, combination, team, race, etc). 2. Choose a theme that will be incorporated into your game design, marketing, and packaging. The theme MUST BE appropriate for a school setting (not COD or GTA). 3. Complete Template 1 included in this package. 4. Begin a rough copy of your rule book that will be included with the game for the players. Create a Flowchart that shows the game play process and flow. 5. Create your prototype game pieces and accessories. All game pieces need to be simple polygons whose vertices match with intersection points on the grind they can be decorated to fit the theme. This step can be done as you work on the rulebook to help you come up with your rules. 6. Test your game with a focus group and record feedback. 7. Modify your game board, pieces, and rules so that your game is fair, fun, and appropriate for your audience in interest and difficulty. 8. Create good published copy of game, pieces, and rulebook. Board is expected to be artistically done to match theme and type of game. 9. Create board game box that matches your theme and follows packaging strategies discussed 10. Present your game to class and test audience.

Types of Games Brainstorm Types of Board Games Characteristics of Board Games Characteristic Examples

The Game Board (Art, Media, Math) Must be at least 40 cm x 40 cm large (negotiable but grid needs to be large enough) Will be made out of Bristol board, Cardboard, Foam Board, or Rigid Plastic Will be foldable to fit into Game Box Will be decorated with the theme that matches the game Will have a clear, labelled, and appropriately sized coordinate grid with four quadrants The Game Pieces (Art, Math) Will be a variety of polygons with vertices that match with grid system (base of object if choosing to use figures or other objects) Will be decorated with the theme that matches the game Can include spinners, card, and/or dice as well as other means of adding luck into play Figure 1 Example of pieces using squares for location. Figure 2 Example of pieces using intersecting lines for location. The Game Rules (Writing, Math HINT most students score very low on this part because they don t include any math in their rules it s a math project ) Must include plotting points on grid and all types of transformations (rotations, reflections, and translations) Must be clear so players can understand game without you to explain it Must be fair that all players have a chance of winning Must include diagrams with labels and captions Must be typed up (may use brochure format or regular) A math dictionary at back explaining terms (use pictures and words think bookmark) The Game Box (Art, Media) Needs to designed in as a regular game would be packaged (front, sides, back) Make 3 rough copy proposals and choose the best Theme of game needs to be incorporated (colours, images, text styles, etc) Marketing strategies need to be used Paragraph(s) justifying choices made is to be included Game and all pieces need to fit inside box Box shape (your choice) is created using nets and bristol board or by repurposing a box of appropriate size (not too big or too small)

Template 1 Game Planning & Brainstorming (see Mr.Brooks Example) Name of Game: Game Type: Theme of Game: Game Description: Board Description and Sketch: (Label) Description

List of Game Pieces with Description: Piece Description & Purpose Explanation of Role of Coordinate Grid and Plotting Points - How is the MATH going to be used in your game? Grid Plotting Points

Explanation of Role of Transformations Translations Reflections Rotations

Role of Luck Bonus: I will be giving extra marks to projects that incorporate Probability and Odds into the design and the math used in the project. You must explain and show the mathematical calculations to receive these marks. Rough Outline of Rules of Play

Template 2 - The Math of the Board Game Since this is an educational board game you need to make sure that you are educating the players on coordinate grids and transformations Write a 1-2 paragraph explanation on how you have incorporated the coordinate grid, plotting points, reflections, translations, and rotations into your game. You need to judge how well the players of the game would come to understand these concepts after they have read your rule book and played your game a number of times. Use the criteria below to judge how well you have taught the students each of the requirements. To help in your planning use the template on the back to make sure all the mathematical vocabulary is being used when explaining how you used and taught these concepts. Scoring of your integration of mathematical concepts: Use and Explanation of Coordinate Grid 0 1 2 Very Little/Not Clear Some/Somewhat Clear Lots/Very Clear Use and Explanation of Plotting Points 0 1 2 Very Little/Not Clear Some/Somewhat Clear Lots/Very Clear Use and Explanation of Reflections 0 1 2 Very Little/Not Clear Some/Somewhat Clear Lots/Very Clear Use and Explanation of Rotations 0 1 2 Very Little/Not Clear Some/Somewhat Clear Lots/Very Clear Use and Explanation of Translations 0 1 2 Very Little/Not Clear Some/Somewhat Clear Lots/Very Clear Total score of how well geometry is used and explained: /10 *** Once your paragraph is written you need to underline or highlight your mathematical terms. *** *** Marks will be also given for how clear your writing is and including your rough copy of your paragraph s with edits. ***

Vocabulary List Math Term/Word x-axis How Used In Your Game y-axis Rotation Reflection Translation Transformation Quadrant Coordinates (Ordered Pair) Coordinate Grid Point Origin Clockwise Counter-clockwise Orientation Turn Center Mirror Line All templates, examples, & tutorials are available at https://mrrobertbrooks.weebly.com/math-board-game-project.html

Board Game Artistic Design Rubric Name: LEVEL : CATEGORY 4 3 2 1 Creativity Board & Pieces Use of Colour & Graphics Board and pieces demonstrate very unique and creative concepts and ideas. Very well put together. Overall project makes excellent use of colour and graphics. Very eye catching and interesting to the audience. Looks professional. Board and pieces demonstrate unique and creative concepts and ideas. Well put together. Overall project makes good use of colour and graphics. Eye catching and interesting to the audience. Looks good and coordinated. Board and pieces demonstrate some unique and creative concepts and ideas. Final pieces and board could have used some touch ups. Overall project makes some use of colour and graphics. More effort would have made game more eye catching. Looks adequate but lacks flair. Board and pieces demonstrate few unique and creative concepts and ideas. Final pieces and board need some touch ups. Overall project makes little use of colour and graphics. More effort to incorporate colour and pictures would have made game more eye catching. Neatness & Attractiveness Project is neat and visually attractive showing a extra care went into final product. Project is neat and visually attractive showing a good amount of care went into the work. Project is somewhat neat and visually attractive showing a some care went into the work. Project looks rushed and little care/effort was given to final published version. Use of Class Time and Incorporation of Feedback Class time used effectively and feedback was sought independently and considered in final design. Class time used well and feedback was considered in final design. Art Rubric Board, Pieces, and Box Design Class time usually used well but could have been more focused. Some feedback was considered in final design. Class time sometimes used well but remainders had to be given. Little feedback was sought or considered in final design. Math Rubric Explanation of Geometry Used and Taught Through Game ***HOW DO THEY LEARN THE MATH*** JUSTIFICATION PARAGRAPH Use and Explanation (evidence from game provided) of: Organization of Written Work: Coordinate Grid /2 Plotting Points /2 Reflections /2 Rotations /2 Translations /2 Spelling, Grammar, & Organization /3 Rough Copy With Edits Included /2 TOTAL /15

Language Rubric Rule Book Board Game Rulebook Section Marks BACKSTORY /4 OBJECT OF THE GAME /1 GAME CONTENTS/EQUIPMENT /3 GAME ASSEMBLY & SET-UP /2 GAME PLAY (The Rules with Special Conditions) /15 HOW TO SCORE/WIN /2 GAME PLAY VARIATION /2 NEAT AND ATTRACTIVE /6 MATH DICTIONARY /5 TOTAL /40