MakerBot Educators Guidebook 3rd Edition

MAKERBOT EDUCATORS GUIDEBOOK Chapter 4: Curriculum Project Ideas
PAGE 86
Verify (A+B) 3 as a mathematical expression based on physical measurement by modeling and 3D printing.
01
Use Tinkercad to design the cubes that make up the math expression. For this example, Side A was designed
with 2cm and Side B was designed with 3cm. The rest of the calculations follow as per the equation:
(A+B) 3 =A 3 +3A 2 B+3AB 2 +B 3
02
30mm
20mm
30mm
20mm
20mm
30mm
30mm
20mm
20mm
20mm
20mm
30mm
The A 2 B and B 2 A models need to be printed in quantities of 3 each. The A 3 and B 3 models need one quantity each.
03
Once everything is printed, students can then use the manipulatives to see a visual representation of how (A+B) 3
expands.
(a+b) 1 =a +b
(a+b) 2 2
=a ++ 2ab
b 2
(a+b) 3 3
=a 3a 2 3
++ b
3ab 2 +b
MAKERBOT EDUCATORS GUIDEBOOK Chapter 4: Curriculum Project Ideas
PAGE 87