PLACE VALUE SOLITAIRE

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This activity uses the numbers on playing cards to explore place value by the addition and subtraction of powers of 10. When you click on the upper left deck of cards one card is displayed either a 1, 2 or 3 from one of the four suits. After you click the upper left deck, drag the displayed  card into the adjacent green region. A vertical display of each suit will guide you to the proper place to position the dragged card. When the dragged card is position properly a beep will sound.The cards numerical value is a power of 10. Under the presentation region a multiplication or division statement is visible equal the respective product or quotient. The product or quotient will equal 10 multiplied by itself a number of times equal a given power. The 10's power term is displayed between the green regions. The power of 10 will equal the difference between the sum of the black cards and the sum of the red cards.  (See Video Below)

As noted above, the difference between the sum of black numbered cards and the sum of red numbered cards placed in the leftside green region indicates the power of 10 equal the product or quotient of the numerical statement below the green region. The arrangement of the of the face down playing card in the rightside green region represents cycles of 1,000 by which place value increases.

  1. A single card positioned in the lower right corner represents the place value factor (1 equals 1).
  2. Two cards positioned in the upper and lower rightside corners represent the place value factors (10 times 1 equals 10).
  3. Four cards positioned in the upper and lower right and leftside corners represent the place value factors of (10 times 10 times 1 equals 100).
  4. The stacking of the one upper rightside card and the two leftside cards over the lower rightside card represents the place value factors (1,000 times 1 equal 1,000).
  5. After stacking cards to make 1,000, positioning a card in the upper right corner as in step 2 represents (10 times 1,000 equal 10,000).
  6. Continuing to position cards as in step 3 represents (10 times 10 times 1,000 equal 100,000)
  7. Stacking the additional cards as in step 4 will represent (1,000 times 1,000 times 1 equal 1,000,000)
  8. And the 1,000 cycle continues. (See Video on Right)
 
The goals of this activity:
  • For students to do the activity with real cards.
  • For students as they turn over suits of the numbers 1, 2, and 3, to calculate the difference of the sums of black and red cards.
  • For Students to write down the products and quotients equal the powers of 10. 
  • For student to arrange face down cards to correspond to the products and quotients
Score
  • Whenever the sum of face up cards equals zero the current score is multiplied by (10)
  • And the preceding product or quotients is added to points accumulated.
  • To make a players total points, at the end of a round, these points are added to the greatest product or quotient reached.