How Tall is a Giant?

imgresINTRODUCTION 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

Investigate

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.

Create

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?

I Can’t Carry Anymore!

UnknownEncumbrance, in role playing games, means how much you can carry. This is usually determined by the total weight of the items you are carrying. A common definition of encumbrance is “a burden” and for most tabletop role playing game enthusiasts, it’s an apt definition in more ways than one. So, it’s often ignored. I mean, who wants to limit how much of the dragon’s treasure you will bring back to your own den? In role playing videogames, it often can’t be ignored because it’s an integral part of the game. Champions of Norrath (2004) attempts to give players the best of both worlds, a limiting factor for realism and an unrealistic way to horde your winnings.

Champions of Norrath is an action oriented role playing videogame. The action comes from hitting and shooting things while the role playing comes, in part, from collecting gear to improve your character’s performance. Often when I compel my warrior, Morg, to pick up something, he will bleat, “I can’t carry anymore!” In which case, I transport Morg to the store and lighten his load in exchange for gold coins. In this game although weapons, armor and other equipment have weight, gold coins do not. This is a treat since Morg is currently holding 1,114,064 gold coins. But it’s also a bit silly.

Grade 6 Content (6.NS.B.2)

Investigate

Q1:  If 1 gold coin weighs 1 ounce, what is the weight of the gold Morg is carrying in pounds?

Q2:  If a car weighs 3,000 pounds, about how many cars would it take to equal the weight of the gold Morg is carrying?

Key

If 1 gold coin weighs 1 ounce, then the weight of 1,114,064 gold coins is 1,114,064 ounces.  There are 16 ounces in a pound so,

1,114,064 ounces / 16 ounces per pound = 69,629 pounds, the number of pounds in gold coins that Morg is carrying.

If a car weighs 3,000 pounds then Morg is carrying,

69,629 pounds / 3,000 pounds per car = the weight of more than 23 cars in gold coins.

That’s one way to bury the local cutpurse.

No Squares Here

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Recognize and Categorize Shapes – Grade 4

Everyone wants to count triangles in this figure but what about rhombi, parallelograms and trapezoids? Hexagons and pentagons? Dodecagons anyone? The abundance of parallel lines make this a good figure for 4th graders to study, both as a review of some of the shapes addressed in previous grades and as an opportunity to classify quadrilaterals based on the presence of one or two sets of parallel lines.

2.G.A.1 – recognize triangles, quadrilaterals, pentagons and hexagons

3.G.A.1 – recognize rhombi as examples of quadrilaterals

4.G.A.2 – recognize parallelograms and trapezoids* by their attributes

Investigate

Q1:  What shapes do you see?

Q2:  How many of each shape are there? Count all same sized shapes as one shape. [For example, there are 4 different sized triangles, all equilateral.]

Q3:  How would you organize each of these shapes into categories?

Q4:  How many categories do the rhombi belong to? Make your case.

*Although students are composing trapezoids as early as grade 1, it’s not until grade 4 that students are expected to consider its defining attributes. Use the inclusive definition of the trapezoid, a quadrilateral with at least one set of parallel sides.