INTRODUCTION TO SCALING – Prerequisite for 5.NF.B.5a/b – This lesson addresses only one dimension when considering scale thus it may be used as a precursor to thinking about multiplication as scaling using a pair of factors.
CONTEXT – The height of a giant can vary greatly. The evidence of this comes from Giants, a tabletop RPG supplement written by Bruce Humphrey and published in 1987 by Mayfair Games Inc. According to this “reference for the society of giants,” there are many races of giants and though scholars have scoffed at their physical impossibility, their existence cannot be denied. Instead of delving into the biology of giants (see Giants pages 5 and 6 if you must), our focus today is on their height.
Fire Giants, 12 feet tall, impetuous and powerful warriors
Titans, 24 feet tall, first giants and progenitors of the other giants
Sea Giants, 18 feet tall, noble and personable giants from the depths
Frost Giants, 15 feet tall, resilient hermits from the icy realms
Hill Giants, 10 feet tall, aggressive and stubborn hunters
Q1: How many feet taller is each race of giants when compared to a 6 foot tall human?
Q2: How many times taller is each race of giants when compared to a 6 foot tall human?
Q3: How many times shorter is each race of giants when compared to a 60 foot tall sauroposeidon?
Q4: How many times taller is each race of giants when compared to a 6 inch tall tufted titmouse?
Activity: Draw a picture of yourself and a representative of each giant race, all to scale in regards to height.
Activity: Make a new race of giants. What will they be called? What characteristics will they have? How tall will they be? How will the height of the new race compare to the heights of other giants and animals?