1) The document discusses geometric terms like circumference, diameter, and radius. It introduces a game where players count the number of "inners" (tiles within a shape) and "edges" (sides touching the outside). For a sample shape, it gives the inners as 4 and edges as 8. 2) It then presents a riddle about a shape where the number of inners is half the number of edges. Players are tasked with figuring out the number of inners and edges to unlock the riddle. 3) The key concepts covered are finding perimeter by adding all side lengths, and formulas for calculating the area of rectangles (length x width) and circles (πr^2).

1. Adapted by Emily Lohse
& Lexi Brannigan

4. Do any of these names
sound familiar?
Circumference: The
distance around a circle.
Diameter: A straight line
passing through the
center of a circle to
touch both sides of the
circumference.
Radius: The distance
from the center of the
circle to the edge (half
the diameter)

5. Let’s Play Inners and Edges!
Inners: number of tiles
1 2
3 4
1 2
8 3
7 4
6 5
Edges: number of edges
facing outside of the
shape
SO…
Inners = 4, Edges = 8

6. Per is talking about
finding the perimeter, or
the distance around the
outside of a shape.
Keep this in mind for the
end of the story!
1 2
2 x 4 = 8
1 2 3
1
2
3 + 2 = 5
5 x 2 = 10

9. 1 2 31
2
3
4
4 x 3 = 12
Area = Length x Width

10. “The inside and the
outside are the same
number…”
1. What do you notice
about this shape?
2. Is this true for all
squares?
3. What makes this
square so special?

14. "Count half as many inside as out.
This unlocks the towers without a doubt."
Help Per and Radius solve the riddle!
How many inners? How many edges? Is this the right key?

19. Take your string and
measure halfway around
your uncut plate. Cut the
string to this length.
Hold the string against
the long side of the
rectangle.
What do you notice?
Now, take your string
and measure the
radius of the plate. Cut
the string to this
length.
Hold the string against
the short side of your
rectangle.
What do you notice?

21. ?

24. Write and solve the
equation. Does this
solve the riddle?

30. A = ½ C x R

32. How do you find the
perimeter of a shape?
How do you find the area
of a rectangle?
How do you find the
area of a circle?