By Scott J Smith (ssmith@mtbaker.wednet.edu)

Mt. Baker JH

Deming, Wa 98244

Dramatized by Doug Harkness, Nazario Garcia, and Joey Martinez

Mt. Baker Junior High School

● ●

GLE 1.3.2GLE 1.3.2Understand the characteristics Understand the characteristics

of polygons and circlesof polygons and circles. .

Identify, describe, compare, and sort Identify, describe, compare, and sort figures.figures.

Draw polygons and circles with Draw polygons and circles with specified properties specified properties

GLE 5.1.1 GLE 5.1.1 Apply concepts and Apply concepts and

procedures from a variety procedures from a variety of mathematical areas in a of mathematical areas in a given problem or situation.given problem or situation.

Pinch (not a fold) to find the center. Pinch (not a fold) to find the center.

What is a circle and its relationship to the What is a circle and its relationship to the center?center?

Mark the center.Mark the center. All points that are exactly the same All points that are exactly the same

distance from the center is the circle.distance from the center is the circle. What is that distance called?What is that distance called?

Fold the circle to the center Fold the circle to the center again, but this time use one of again, but this time use one of the endpoints of segment for the endpoints of segment for

the endpoint of your new the endpoint of your new segment.segment.

What is two (or more) segments What is two (or more) segments sharing a common endpoint?sharing a common endpoint?

Now, fold the last segment Now, fold the last segment to the center.to the center.

What is the shape? Be specific.What is the shape? Be specific. What are the attributes of this shape? (mention What are the attributes of this shape? (mention

the angles and the lengths of the sides)the angles and the lengths of the sides) What is the sum of the angles of any triangle?What is the sum of the angles of any triangle?

Find the midpoint of a sideFind the midpoint of a side

Pinch (don’t make a hard fold), Pinch (don’t make a hard fold),

then fold the opposite vertex to that then fold the opposite vertex to that midpoint.midpoint.

Fold another vertex to its opposite Fold another vertex to its opposite midpoint.midpoint.

Fold the last vertex to its opposite Fold the last vertex to its opposite midpoint.midpoint.

Fold a vertex to the center.Fold a vertex to the center.

Fold another vertex to the Fold another vertex to the centercenter

Now fold the last vertex to the Now fold the last vertex to the center.center.

Unfold, and tuck one of the Unfold, and tuck one of the vertices into the flap of vertices into the flap of

another.another.

A truncated tetrahedronA truncated tetrahedron

If this is 1, then…If this is 1, then…

How big is How big is thisthis??

How big is How big is thisthis??

How big is How big is thisthis??

If this is 1, then…If this is 1, then…

How big is How big is thisthis??

How big is How big is thisthis??

How big is How big is thisthis??

How big is How big is thisthis??

Let’s do the math…and check Let’s do the math…and check the reasonableness or our the reasonableness or our

thinking.thinking.

minus =

OR

minus

3

=

How big is How big is thisthis??

How big is How big is thisthis??

If this is one:If this is one: , ,

How big are these: (In the dark lines)

A

Share your ideas that make sense of these parts of a whole or fraction.

1 1/2 1 1/3

1 1/6

5/24

19/24

B

CD E

Killers: if this is one:Killers: if this is one: , ,

Then, how big are these:

1 4/5 7 1/5

A B

3 4/54 4/5 4 3/5

The Golden Apple*The Golden Apple*A prince picked a basketful of golden apples in the A prince picked a basketful of golden apples in the

enchanted orchard. On his way home, he was enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The stopped by a troll who guarded the orchard. The troll demanded a payment of one-half of the apples troll demanded a payment of one-half of the apples and two more. The prince gave him the apples and and two more. The prince gave him the apples and set off again. A little further on, he was stopped by set off again. A little further on, he was stopped by a second troll guard. This troll demanded payment a second troll guard. This troll demanded payment of one-half of the apples the prince now had plus of one-half of the apples the prince now had plus two more. The prince paid him and set off again. two more. The prince paid him and set off again. Just before leaving the enchanted orchard, a third Just before leaving the enchanted orchard, a third troll stopped him and demanded one-half of his troll stopped him and demanded one-half of his remaining apples plus two more. The prince paid remaining apples plus two more. The prince paid him and sadly went home. He had only two golden him and sadly went home. He had only two golden apples left. How many apples had he picked?apples left. How many apples had he picked?

*From *From Make It SimplerMake It Simpler by Carol Meyer and Tom Sallee, 1983 by Carol Meyer and Tom Sallee, 1983