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Multiplication Rectangular Model

Multiplication Rectangular Model. Allan, Huellmantel, Scott. WHOLE NUMBERS. 13 groups of 14. 13 groups of 14 14 x 13. 3. +. 10. Mark the 13 & the 14. Draw the multiplication rectangle. 1 0. +. 4. WHOLE NUMBERS. 13 groups of 14 14 x 13. 3. 3. +. +. 10. Draw the

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Multiplication Rectangular Model

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  1. MultiplicationRectangular Model Allan, Huellmantel, Scott

  2. WHOLE NUMBERS 13 groups of 14 13 groups of 14 14 x 13 3 + 10 Mark the 13 & the 14 Draw the multiplication rectangle 10 + 4

  3. WHOLE NUMBERS 13 groups of 14 14 x 13 3 3 + + 10 Draw the multiplication rectangle 10 Draw the multiplication rectangle 4 10 + 10 + 4

  4. 10 10 12 10 WHOLE NUMBERS 13 groups of 14 14 x 13 100 3 40 30 12 3 182 + + Draw the multiplication rectangle 10 How much in the 10 x 10 square? 10 100 How much to the right of the 100 square? 10 10 10 10 How much above the 100 square? 10 + 4 How much in the upper right? How much altogether? 10 + 4

  5. DECIMALS 1.3 groups of 1.4 1.4 x 1.3 .3 + 1 1 Mark the 1.3 & the 1.4 Draw the multiplication rectangle 1 1 + .4

  6. .1 .1 .12 .1 DECIMALS 1.3 groups of 1.4 1.4 x 1.3 1. 3 .4 .3 . 12 .3 1.82 + + Draw the multiplication rectangle 10 How much in the 1. x 1. square? 1 1. How much to the right of the 1square? .1 .1 .1 .1 How much above the 1square? 1 + .4 How much in the upper right? How much altogether? 10 + 4

  7. FRACTIONS 1 groups of 1 1 x 1 2 3 2 2 2 3 3 3 4 4 3 3 4 3 3 + 10 1 Mark the 13 & the 14 Show thirds and fourths Draw the multiplication rectangle 1 10 + 4

  8. FRACTIONS 1 groups of 1 1 x 1 2 2 3 3 3 2 2 3 2 3 2 4 3 3 4 3 4 3 3 4 3 4 3 + 10 1 Show thirds and fourths Draw the multiplication rectangle Mark the 1 & the 1 4 Mark 1 and 1 1 + 10 + 4 1

  9. There are three levels of solution: Level 1: Count. How many twelfths? Level 2: Group the twelfths to form 1’s. How much in all? Level 3: Algorithmically: How much is that? FRACTIONS 1 groups of 1 4 1 x 1 1 12 12 9 3 35 11 8 2 1 8 3 2 2 3 2 3 6 2 3 3 2 8 11 1 1 5 1 1 1 1 1 1 9 1 8 3 3 5 8 11 3 12 6 1 + + = 2 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 3 12 12 3 12 12 4 3 3 4 4 4 4 3 4 12 3 4 4 4 3 3 3 4 3 How many s above the 1 square? 10 + How much in the large square? 1 Draw the thirds & fourths in the 1s square. 2 How many equal sections? What is the fraction name of each section? Mark 1 and 1 How many s to the right of the 1 square? 1 + How much is that in s? How much is that in s? 1 + 10 + How much in the upper right? How much altogether? Decompose the into and . Add.

  10. 10 10 10 12 BINOMIALS (x + 3) groups of (x + 4) x + 4 x + 3 Mark x+ 3 and x + 4. 100 3 4x 40 3x 30 x 12 12 x 182 + Draw the multiplication rectangle. x 10 How much in the square? 3 2 2 2 x x x + 7x + 12 + How much to the right of the square? x x x x x How much above the square? How much in the upper right? x How much altogether? + 4 10 + 4

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