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The Wonder Number Lessons

  1. Basic Counting
  2. Comparison
  3. Addition – Single Digit
  4. Addition – Double Digit
  5. Subtraction – Single Digit
  6. Subtraction – Double Digit
  7. Patterning
  8. Multiples and Factors
  9. Multiplication
  10. Primes and Composites
  11. Squares
  12. Division – No Remainder
  13. Division – With Remainder
  14. Simplifying Fractions
  15. Least Common Denominator
  16. Goldbach’s Conjecture

Lesson No. 13:  Division, With Remainder

Division with remainder can be difficult to comprehend without the Wonder Number Board. The color-coded factors on the board help the student to determine how many times one number goes into another, and then it shows how many numbers are left over as the remainder.

The first problem is 57 ÷ 5.  Place a viewer on 57 and look for a green 5 inside the block.  Since there is no green 5 in the block, 5 is not a factor of 57 (see fig 67).  From 57, count back to find a block that has 5 as a factor.  The first block containing a green 5 as a factor is 55.  Place the viewer on 55 to see how many times 5 goes into 55 (see fig 68).  To self-check place a green chip on all the multiples of 5 from 5 to 55.  Count the number of chips on the board.  The student will discover there are eleven green chips on the board.  Now place blue chips on blocks 56 and 57 to represent the remainder (see fig 69).  To conclude, 57 ÷ 5 = 11 R 2.

The second problem is 48 ÷ 9.  Place a viewer on 48 and look for a pink 9 inside the block.  Since there is no pink 9 in the block, 9 is not a factor of 48 (see fig 70).  From 48, count back to find a block that has 9 as a factor.  The first block containing a pink 9 as a factor is 45.  Place the viewer on 45 to see how many times 9 goes into 45 (see fig 71).  To self-check place a blue chip on all the multiples of 9 from 9 to 45.   Count the number of chips on the board. The student will discover there are 5 blue chips on the board.  Now place yellow chips on numbers 46, 47, and 48 to represent the remainder (see fig 72).  To conclude, 48 ÷ 9 = 5 R 3.

     

© 2007 The Wonder Number Learning System, Patent No. 3975051 Dated 1976