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Transcript
```GSE Analytic Geometry-A
Week 8: 9/26/2016 – 9/29/2016
Georgia Standards of Excellence:
MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines,
alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those
equidistant from the segment’s endpoints.
MCC9-12.G.CO.10 Prove theorems about triangles. Theorems include: measure of interior angles of a triangle sum to 180°; base angles of isosceles
triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle
meet at a point.
MGSE9-12.G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the
diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
MGSE9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four
given points in the coordinate plane is a rectangle.
Standards for Mathematical Practice:
MP 1 Make sense of problems and persevere in solving them.
MP 2 Reason abstractly and quantitatively.
MP 3 Construct viable arguments and critique the reasoning of others.
MP 4 Model with mathematics.
MP 5 Use appropriate tools strategically.
MP 6 Attend to precision.
MP 7 Look for and make use of structure.
MP 8 Look for and express regularity in repeated reasoning.
Differentiation Strategies: Proof Reference Sheet
Vocabulary: parallelogram
Monday
Essential Question: What do you know about perpendicular bisectors, angle bisectors, circumcenters, incenters, centroids, orthocenters, and
midsegments?
Opening: Review Assignment #36, discuss the week’s assessments.
Activity: Review for Quiz #4
Closing: Make sure Proof Reference Sheet is current.
Tuesday
Essential Question: What do you know about perpendicular bisectors, angle bisectors, circumcenters, incenters, centroids, orthocenters, and
midsegments?
Activity: Quiz #4, Homework Check #6
Assignment #38: p.288-290 #2-5,11-13,15,17-22
Wednesday
Essential Question: What do you know about parallelograms and can you prove theorems about parallelograms?
Opening: Review Assignment #38
Activity: Introduce parallelograms and associated theorems.
Closing: Add theorems to the Proof Reference Sheet.
Assignment #39: p.213-215 #9-12,21-24,27,28,32-42,51-53; p.228-231 #10-13,46,47
Thursday
Essential Question: What do you know about parallelograms and can you prove theorems about parallelograms?
Activity: Complete parallelogram classwork.
Assignment #40: p.242-243 #1-16,18-21
Friday