By Scott J Smith Mt. Baker JH Deming, Wa 98244 Dramatized by Doug Harkness, Nazario Garcia, and Joey Martinez Mt. Baker Junior.

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Presentation transcript:

By Scott J Smith Mt. Baker JH Deming, Wa Dramatized by Doug Harkness, Nazario Garcia, and Joey Martinez Mt. Baker Junior High School ● ●

GLE Understand the characteristics of polygons and circles. Identify, describe, compare, and sort figures. Identify, describe, compare, and sort figures. Draw polygons and circles with specified properties Draw polygons and circles with specified properties

GLE Apply concepts and procedures from a variety of mathematical areas in a 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 center? What is a circle and its relationship to the center?

Mark the center. All points that are exactly the same distance from the center is the circle. All points that are exactly the same distance from the center is the circle. What is that distance called? What is that distance called?

Fold the circle to the center again, but this time use one of the endpoints of segment for the endpoint of your new segment. What is two (or more) segments sharing a common endpoint? What is two (or more) segments sharing a common endpoint?

Now, fold the last segment to the center. What is the shape? Be specific. What is the shape? Be specific. What are the attributes of this shape? (mention the angles and the lengths of the sides) What are the attributes of this shape? (mention 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 side Pinch (don’t make a hard fold), then fold the opposite vertex to that midpoint.

Fold another vertex to its opposite midpoint.

Fold the last vertex to its opposite midpoint.

Fold a vertex to the center.

Fold another vertex to the center

Now fold the last vertex to the center.

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

A truncated tetrahedron

If this is 1, then…

How big is this?

If this is 1, then…

How big is this?

Let’s do the math…and check the reasonableness or our thinking. minus = OR minus 3 =

How big is this?

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 C D E

Killers: if this is one:, Killers: if this is one:, Then, how big are these: 1 4/57 1/5 AB 3 4/54 4/5 4 3/5

The Golden Apple* A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded a payment of one-half of the apples and two more. The prince gave him the apples and set off again. A little further on, he was stopped by a second troll guard. This troll demanded payment of one-half of the apples the prince now had plus two more. The prince paid him and set off again. Just before leaving the enchanted orchard, a third troll stopped him and demanded one- half of his remaining apples plus two more. The prince paid him and sadly went home. He had only two golden apples left. How many apples had he picked? *From Make It Simpler by Carol Meyer and Tom Sallee, 1983