NCTM Standards: Represent and analyze mathematical situations and structures using algebraic symbols; Understand patterns, relations and functions
Activity 20: A Fraction By Any Other Name...Added on 2/13/2008 |
Downloads: TI-73 PDF file |
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| ACTIVITY OVERVIEW In this activity we will:
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We first need to set our calculators to “Super Fraction Mode” Press the  key and set your screen to look like the one on the right. Arrow to the setting you want and press  to secure the setting. |
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Press  to exit the mode settings. Press   , arrow to 5: Clear Home, as seen on the right. Press  . This will clear all previous entries on your calculator. |
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| Now you can find equivalent fractions and test them. Enter the fraction ¾ by pressing  [b/c]  and press the right arrow  key. Your screen should look like the one on the right. |
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Now multiply by 2/2. This is the same as multiplying by one. Press   [b/c]  . Make sure your screen looks like the one on the right. Then press . |
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Your result is 6/8. The arrow means your fraction is not completely simplified. That’s because you doubled your numerator and denominator. |
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| Now to prove they are equivalent, we will let the calculator decide. Enter ¾, use the right arrow and press [TEXT] . Arrow down to the = sign and then arrow to Done, as seen on the right. Press and then enter 6/8 and press . |
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| When you ask the calculator if two fractions are equal, it can only answer TRUE (1) or FALSE (0). |
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| Now that you know you can multiply fractions to and get equivalent fractions, you can practice your mental math and check them with the tester. Find equivalent fractions for those on the right and test them with your calculator. |
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| EXTENSION It is also possible SOME fractions will have equivalent fractions when you simplify both numerator and denominator. Try this with 6/9. What number divides both 6 and 9? |
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Enter  [b/c]  [SIMP] and enter the number you think evenly divides both 6 and 9. Then press . |
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If you picked a number that worked, your fraction changed. If the fraction did not change, 6/9 is not simplified by the number you picked. |
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