Multiplication Rectangular Model Allan, Huellmantel, Scott SIG Mathematics Project

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

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

Multiplication Rectangular Model 10 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

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

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

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

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

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 1 + + = 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?

Multiplication Rectangular Model 10 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