1. Multiplication Rectangular Model
Allan, Huellmantel, Scott
SIG Mathematics Project

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

3. multiplication rectangle multiplication rectangle
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. Multiplication Rectangular Model10 10 12 10
Multiplication Rectangular Model
WHOLE NUMBERS
13 groups of 14 14
x 13
100 3 40 30 3 12
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
SIG Mathematics Project

5. multiplication rectangle
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. Multiplication Rectangular Model.1 .1
.12 .1
Multiplication Rectangular Model
DECIMALS
1.3 groups of 1.4
1.4
x 1.3 1. 3 .4 .3 .3
. 12
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
SIG Mathematics Project

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

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

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

10. Multiplication Rectangular Model10 10 10 12
Multiplication Rectangular Model
BINOMIALS
(x + 3) groups of (x + 4)
x + 4
x + 3
Mark x + 3 and x + 4. x 2
100 3 4x 40 3x 30 x 12 12 x
x + 7x + 12 2
182 + x
Draw the multiplication rectangle. 10
How much in the square? x 3 + x 2
How much to the right of the square? x x x x
How much above the square?
How much in the upper right? x + 4
How much altogether? 10 + 4
SIG Mathematics Project