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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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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
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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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