We will now investigate how this magic trick works. We will first represent the trick using a diagram. Copy the numbers from one of your tables on the first page into the column labeled below. Numeric The column labeled contains pictures representing what happened at each step. The Pictoral represents the initial value of the card and the represents the value of 1. square circle Fill in the column labeled based on what happens at each step. The initial value Symbolic is represented by the variable x.   KEY: = initial value = 1 SPECIFIC GENERAL Numeric Pictoral Symbolic  Step 1: Initial Value x  Step 2: Double the number.  Step 3: Add six to the number.  Step 4: Divide the number by 2.  Step 5: Subtract the initial value. Explain how the mathemagician’s number trick works. Would the trick work if the initial value was a decimal, fraction, or very large number? Explain why or why not.
We will now investigate how this magic trick works. We will first represent the trick using a diagram. Copy the numbers from one of your tables on the first page into the column labeled Numeric below. The column labeled Pictoral contains pictures representing what happened at each step. The square represents the initial value of the card and the circle represents the value of 1. Fill in the column labeled Symbolic based on what happens at each step. The initial value is represented by the variable x. KEY:  = initial value  = 1 SPECIFIC GENERAL Numeric Pictoral Symbolic Step 1: Initial Value  x Step 2: Double the number.  Step 3: Add six to the number.  Step 4: Divide the number by 2.  Step 5: Subtract the initial value.  Explain how the mathemagician’s number trick works. Would the trick work if the initial value was a decimal, fraction, or very large number? Explain why or why not.
alg_u2_i1_a211_magic_algebra.docx