Mathématiques + jeu = combinaison gagnante Math + Game = Fun

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Arleen Oliver
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Mathématiques + jeu = combinaison gagnante Math + Game = Fun Savais-tu que de nombreux jeux font appel aux Did you know that many games use mathématiques? Pour le comprendre, il suffit de mathematics?

1 Mathématiques + jeu = combinaison gagnante Math + Game = Fun Savais-tu que de nombreux jeux font appel aux Did you know that many games use mathématiques? Pour le comprendre, il suffit de mathematics? We use dice, add and subtract penser à l utilisation de dés, à l addition ou la points, and often move pieces in specific ways, soustraction de points ou encore aux pions qui ne dictated by mathematics. The mathematical peuvent être déplacés que d une manière equations of many games also tell us how the prédéterminée. Les équations mathématiques game ends; for example, the winner might be intégrées à ces jeux déterminent la façon de gagner le the first player to get a total of 500 points, or jeu, par exemple lorsque qu une personne cumule 500 might be the person to match up the most cards points ou lorsque toutes les cartes ont été mises en in pairs. paires. Try the following games and experiments to see Fais les jeux et les expériences suivantes pour just how much fun math can be! And, next time comprendre à quel point les mathématiques peuvent you play a game, study the rules to see if être amusantes. La prochaine fois que tu feras un jeu, mathematics decides how you win. examine les règles pour voir si les mathématiques déterminent les conditions gagnantes.

Roman Numeral Memory Game Did you know that our way of writing numbers from 0 to 9 is not the only way to write them? Many languages have their own numbering systems.

2 Roman Numeral Memory Game Did you know that our way of writing numbers from 0 to 9 is not the only way to write them? Many languages have their own numbering systems. Several centuries ago, there were many more ways of writing numbers, one of which is still important to us today: Roman numerals. This little game will help you to read Roman numerals and match them to their proper numerical value. Supplies : paper coloured pencils ruler scissors glue stick Let s Get to Work! 1. Using the paper, mark and cut out 20 rectangles, each measuring 5 cm by 5 cm. 2. On the first 10 cards, one card at a time, write the numbers 1 to 10, so that you end up with a set of ten cards. 3. On the other 10 cards, also one card at a time, write the Roman numerals I to X as shown on the table below, to make another set of ten cards. 4. Decorate the back of each card with a drawing or a sticker. 5. You are now ready to play the memory game. How to Play : I. Get to know the number conversion table: see how the Romans wrote their numbers and how they compare to our numbers. II. Take the cards and make a deck; shuffle them well. III. Lay out the cards in rows, face down. IV. Turn over two cards, one at a time. If they have the same value, remove them from the game. If not, replace them face down. V. Repeat until all the cards have been paired up. There is no zero in Roman numerals. If the mathematical answer was zero, they wrote the word nothing. Reading Roman Numerals: Roman numerals are represented with symbols, which combine to create numbers. Instead of combining the value I (equivalent to our number 1) for all numbers, symbols are used to shorten the figures. For example, the number 4 is written as IV this indicates the number before 5, which is expressed with a V. The same thing happens for 9, which is written as IX instead of VIIII. Remember, if an I is found before a letter, you subtract it from the letter that follows; if the I is after the letter, you add it. How would you write the number 27 in Roman numerals? Arab Roman Numeral Numeral 1 I 2 II 3 III 4 IV 5 V 6 VI 7 VII 8 VIII 9 IX 10 X (Answer : XXVII)

Mobius Strip Racetrack This brainteaser was discovered by mathematician Augustus Möbius in

Supplies : construction paper scissors tape Let s Get to Work!

videogames use the Mobius strip when designing a racetrack. You can do the same at home. 1.

(You can tape two pieces of paper together to get the desired length.) 2.

in the road, dotted lines, a start/finish line, or flags. 3.

To make your Mobius strip stand up on its own, pierce two holes through the middle of the

Use modelling clay to secure the skewer to the strip. 6.

You can also put a bit of modelling clay on top of the skewer to keep the strip from sliding

3 Mobius Strip Racetrack This brainteaser was discovered by mathematician Augustus Möbius in At first glance, this strip of paper seems to have a never-ending surface that defies logic, but it s really just math! To see for yourself, make this simple racetrack game out of a strip of paper. Supplies : construction paper scissors tape Let s Get to Work! modelling clay coloured pencils long wooden stick, such as a bamboo skewer Many racing videogames use the Mobius strip when designing a racetrack. You can do the same at home. 1. Cut a strip of construction paper measuring about 50 cm long by 5 cm wide. (You can tape two pieces of paper together to get the desired length.) 2. Draw some racetrack designs on both sides of the strip, such as brick walls, trees, obstacles in the road, dotted lines, a start/finish line, or flags. 3. Twist the strip and tape the ends together. 4. To make your Mobius strip stand up on its own, pierce two holes through the middle of the loop and poke the skewer through both holes. 5. Use modelling clay to secure the skewer to the strip. 6. Use the modelling clay as a base to make the skewer stand up. You can also put a bit of modelling clay on top of the skewer to keep the strip from sliding off. The Mobius strip has only one side. If you draw a line down the centre of the strip, you will never have to flip over the paper to end up back at your starting point. The Mobius strip also has only one edge. Make a little mark on one edge of the paper as a starting point, then run your finger along the edge. You will not need to lift your finger to end up back at your mark. You now have a great little racetrack to play with! Step 2 Step 3 Step 6

Tangram A Game of Shapes Use geometry and your artistic skills to play with this puzzle, called a tangram. Arrange the 7 puzzle pieces in different ways to create many images.

4 Tangram A Game of Shapes Use geometry and your artistic skills to play with this puzzle, called a tangram. Arrange the 7 puzzle pieces in different ways to create many images. Be creative with geometry, and make up your own tangram challenges and solutions. Supplies printed tangram template, included in this activity cardboard (such as a cereal box) markers or coloured pencils scissors glue stick Let s Get to Work! 1. Print the out tangram template. 2. Colour each piece on the template in a different colour. 3. To make your puzzle pieces strong, glue the page to a piece of cardboard. 4. Cut along all of the black lines, so that you end up with seven different coloured pieces. How to Play Using only your coloured pieces, you must try to make the outline (or outlined) image. There is only one solution for each tangram challenge. You must move your pieces around and try various combinations in order to make the shape. For example, you can create a sailboat by arranging the pieces like this: To test your tangram skills, see if you can use all seven pieces to make the two images below. You can find tangram puzzle books at the library or on the Internet. You can find the answers to these tangrams in the Suggestions section. CHALLENGE! What other images can you make using your seven tangram shapes? Get creative! Trace the outline of your final image and challenge a friend to make it with the tangram pieces.

Delicious Chocolatey Mathematics Cooking itself is a scientific experiment. Did you know that mathematics are very important when we use a recipe?

5 Delicious Chocolatey Mathematics Cooking itself is a scientific experiment. Did you know that mathematics are very important when we use a recipe? Here s a recipe for delicious brownies using mathematics! Supplies large measuring bowl measuring cups measuring spoons wooden spoon microwave-safe bowl oven mitts recipe ingredients below square 8-inch cake pan calculator toothpick scale Recipe Did you know? Not all recipes use the same units of measurement to describe quantities of ingredients. Some use millilitres (ml); others use cups. Luckily, it is easy to convert measurements from one to the other with simple mathematics. Convert the units in the recipe below. All you have to do is multiply the boxed number in the column on the left using the equation in the middle, then write your answer in ml in the righthand column. This formula is important to know, because there are 250 ml in a cup, and 50 teaspoons in 250 ml. Cup Mathematical conversion ml 0.75 X 250 = (¾) cup of butter ml of butter 1 X 250 = cup of brown sugar ml of brown sugar 0.5 X 250 = (½) cup of flour ml of flour X 250 = (¼) teaspoon of salt ml of salt 170 g (or 6 one-ounce squares) of semi-sweet chocolate 2 eggs Let s Get to Work! 1. Preheat the oven to 350 F (175 C) and grease the cake pan with a bit of butter. 2. Melt the chocolate and butter together, then let cool to room temperature. 3. In the large mixing bowl, mix together brown sugar, salt, and eggs until smooth. 4. Add the chocolate mixture and blend well. 5. Add the flour, and mix until there are no lumps in the batter.

6 If you don t have a scale, look at the quantity in grams on the packaging of a complete chocolate bar. Most chocolate bars are divided into squares. Count the number of squares in the package, and divide the total grams by the number of squares. With this information, you can calculate how many squares you need to equal 170 g. 6. Pour the batter into the cake pan and bake in the oven for minutes, or until a toothpick inserted in the middle comes out with just a few crumbs. The batter be neither liquid nor completely dry. 7. Let the brownies cool completely before turning the block out of the pan. 8. Cut into 16 squares, by making four strips across the pan, then turning it and cutting four more strips perpendicularly. 9. It is now time to taste your delicious results! Most of the materials required for the experiments are common household items. You may need to borrow some, and purchase others at the store. construction paper flour baking chocolate pen scissors eggs modelling clay coloured pencils ruler brown sugar glue stick cardboard (such as a cereal box) tape butter long wooden stick, such as a bamboo skewer

7 Book The Rabbit Problem By Emily Gravett The famous mathematical Fibonnacci numbers are explained through an ever-expanding family of rabbits. This hilarious book demonstrates the problems that occur throughout the year, as this brood keeps growing. Internet Link Prime Radicals This companion website for the popular TVO series Prime Radicals is full of games and activities. (PAN Macmillan Children s Book, 2009) Game Sudoku Answers to the Tangram Challenge Sudoku puzzles have become very popular in the past few years. The most common version has a grid of 9 smaller grids, each with 9 cells. The same number can never repeat on a horizontal or vertical line, or within one of the smaller grids. Sudoku is available in newspapers, books and online.

8 Tangram Template

Make a Christmas Paper Chain!

Make a Christmas Paper Chain! Your Jacqueline Wilson Christmas Checklist! All you ll need is scissors & glue! Print out these pages, cut out the covers of the books you need to complete your collection then glue them in the spaces