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Chapter 5 ­ Relationships within trianglesThere are no questions on the final exam from this chapter, so we will move very fast and pick out the little diamonds hidden within.

Our schedule will beMonday ­ lessons 5.1 & 5.2Tuesday ­ lessons 5.3 & 5.4 with a take­home quizWednesday ­ NO CLASSESThursday ­ lesson 5.5 and the second quiz of the chapterFriday ­ Chapter test and turn in all work

The gems we will be looking for are:• Midsegment of a triangle• Perpendicular bisector• Equidistant• Point of concurrency• Circumcenter• Incenter• Medians of a triangle• Centroid• Altitude of a triangle• Orthocenter

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5.1 Midsegment Theorem and Coordinate ProofEQ: What is a "midsegment" and how is it useful?

What is a midpoint?How many midpoints are there on a triangle?• Draw a picture of a triangle• label the vertices• find and label the midpoints• connect the midpoints with NEW segmentsThese "new" segments are the "midsegments" ­ label them and highlight them

Think, pair and share before moving on

What looks special about these midsegments?

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W M

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Theorem 5.1 Midsegment TheoremCopy from page 295

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42°

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5.2 Use Perpendicular BisectorsEQ: What do the perpendicular bisectors of a triangle tell you?

Think, pair and share before moving on

Story of the 2 demons

Equidistant

Copy Theorems 5.2 and 5.3 from page 303

Concurrency ­ when 3 or more lines, ray, or segments intersect at the same point, called the Point of Concurrency

Circumcenter (page 306)

Copy Theorem 5.4 from page 305

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116°

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5.1 p298­300 #1, 3­11, 24­26, 35

5.2 p306­307 #1­9, 11­15 odd

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5.3 Use Angle BisectorsEQ: How do you know if a point is on the angle bisector?

Think, pair and share before moving on

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5.4 Use medians and Altitudes

EQ: What do the medians of a triangle get us?

Think, pair and share before moving on

• Median• Centroid

Make flashcards for the following. Include pictures and names with arrows showing each part from lessons 5.1­5.4:• bisector• median• altitude• perpendicular bisector• angle bisector• circumcenter• incenter• centroid

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5.3 p313­314 #1­20

5.4 p322­ #1­7, 9, 13­15, 17­22, 33­35Make flashcards for the following. Include pictures and names with arrows showing each part from lessons 5.1­5.4:• bisector• median• altitude• perpendicular bisector• angle bisector• circumcenter• incenter• centroid

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On your whiteboard...

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5.5 Use Inequalities in Triangles

EQ: How are the side lengths and angle measures of a triangle related?

Think, pair and share before moving on

Yarn activity

Straw activity

Puzzle

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Chapter review

5.5 p331­332 #1­2, 6­12, 16­26

First period exit slips

End of chapter review puzzle?

Halloween posters of what we learned?

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5&6

5.15.25.35.4

5.5

6.2

6.36.4

5.5 p331­332 #1­2, 6­12, 16­26

5.3 p313­314 #1­20 5.4 p322­ #1­7, 9, 13­15, 17­22, 33­35

5.1 p298­300 #1, 3­11, 24­26, 35 5.2 p306­307 #1­9, 11­15 odd

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