A Play Play Learn Guide to Teaching and Learning Secret Code 13+4 About the Game Players: 2 - 4 Age: Elementary Time: 15 min. Subject: Math Jürgen P. Grunau and HABA created Secret Code 13+4 as a robust math game carefully concealed behind an attractive theme of secret agents breaking into a museum to steal the mask of Amun Re. To be successful here, though, players will have to use some serious math skills. The game is built around the mechanism of reaching target numbers given a pool of starting numbers – in this case, starting numbers from rolled dice – manipulated by any desired mathematical operations. As with word games, where players are scrolling through their mental vocabulary lists to find words that match given letters, in Secret Code 13+4 players are playing with numbers in their mind trying to find combinations to hit the target on the lasers blocking their path. The dice in Secret Code 13+4 are not regular dix-sided dice. Instead, these custom dice offer numbers up to nine for players to use in their math operations. As dice are used to crack the codes and deactivate the lasers, they are set aside. The goal then is to find efficient operations that make use of the fewest possible dice for each barrier thereby letting a player advance more quickly than others as they all race towards the treasure. Diverging paths on the board also offer another decision point for players; which path of codes might be easier? The Math Behind the Game To extend the math beyond the game, have players figure out which numbers are easier to unlock. Think about the factors involved in the unlocking process. Codes one through nine can be unlocked with a single die showing the desired number. But what about other numbers? Educational guide created by Christopher Harris Brian Mayer Editorial Director Design & Development [email protected] [email protected] Patricia Harris, PhD Curriculum & Instruction [email protected] Are some target numbers easier to crack? Numbers like 12 or 18 have multiple factors: 2x6 and 3x4 for 12, 2x9 and 3x6 for 18. 13, being a prime number, only has itself and 1 as possible factors; reaching 13 will have to involve addition and subtraction. The code tiles go up to 18, but the higher numbers offer fewer opportunities for addition and will likely require multiplication along with addition and subtraction. Code 18 has only one possible addend pair, two dice showing 9s; 12 on the other hand can be unlocked with 4 sets of addend pairs, 3+9. 4+8, 5+7, or 6+6. Have fun on a first play through, but for later games encourage players to think strategically using Variations to Extend Play probability to inform their decisions. The rules as written let players add, subtract, multiply or divide the numbers from the dice to reach the code. Today, math instruction often introduces the concept of square numbers in primary grades. Square numbers can be easily represented visually with Cuisenaire number rods or cubes. Squaring a number means putting down the same number of rods across as the rod is tall so that the rods form a square. For example to form a square with the light green rod three units in length, we would need to use three rods. If we then count the units in the square, three sets of three, we find that three squared is nine. You can introduce squaring as a new operation in Secret Code 13+4. Squaring will only work with the smaller numbers as the operation will take anything above 5 squared (25) well out of range of the highest target number of 18. For rolls of two through four, however, squaring Making the Game Work offers a different way to use a single die to efficiently reach higher values. Assessing Learning Assess mathematical operations: 1) Pick three lasers and offer pre-set dice that can be used to reach the three targets. Increase difficulty as needed to challenge different levels of learners. 2) Have students roll the dice and then identify at least three different ways to reach a target number. Bonus points for most dice and fewest dice used. 3) Create a worksheet showing combinations of three dice, have players list three reachable targets for each set of dice explaining the operations involved. Secret Code 13+4 works beautifully in many different instructional situations. With fast setup and easy rules, players can get started quickly. The game takes about 15 minutes to play, a nice length of time for a mini activity after a lesson for a large Play Play Learn provides educational resources and consulting services to connect games and learning in libraries, schools, and homes for students of all ages. More information and additional guides are available at http://playplaylearn.com. This guide ©2014, Christopher Harris. Secret Code 13+4 ©2012, Habermass Corp., Inc. aka HABA.
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