Almost everyone likes chocolate - and that's what makes sharing so hard! Each person's share is likely to be fairer if you're able to measure quantities exactly.
You will play the classic game of Snakes & Ladders, but how well you do depends on how good you are at converting Mixed Numbers (whole numbers plus a fraction) to Improper Fractions [the top number (numerator) is bigger than the bottom number (denominator)] and vice-versa.
The following video gives you a quick overview of the activity:
The first applet below is a great visual aid to seeing why a given improper fraction can be converted to a whole number plus a fraction = a Mixed Number and vice-versa (same applet available as a webpage (larger view): Mixed Numbers to Improper Fractions). The ARROW KEYS on your keyboard are useful for changing the slider by exactly 1 unit at a time.
Using your Calculator to Check!
There is no sound in this video. The most common calculator functionalities (regardless of make) for converting mixed numbers to improper fractions are looked at:
Watch the first video, at the top of this page, for an overview of the activity.
- Students convert Mixed Numbers to Improper Fractions and vice-versa to make their way round the snakes and ladders board.
- Students should use the geogebra applet to help visualise equivalences between mixed numbers and improper fractions.
- To START Player1 converts 21⁄9 to a mixed number and Player2: 21⁄12
- If the player converts correctly, they roll a die (see resources above for an online die if required) and move that number of spaces.
- If the player converts incorrectly, the miss a turn.
- The teacher may allow students to use the mixed number to improper fractions button on their calculator's to check their partner's answers.