1st/2nd Honors Geometry Skinny

What

1st/2nd Honors Geometry Skinny

When

9/21/2022

MGSE.9-12.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.
MGSE.9-12.G.CO.10: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees, base angles of isosceles triangles are congruent, the segment joining midpoints of two sides of a triangle is parallel to the 3rd side and half the length, medians of a triangle meet at a point.


Learning Targets/Success Criteria:
--I can identify linear pairs, adjacent angles, vertical angles, complementary angles and supplementary angles and provide a definition and/or example.
--I can apply properties of linear pair relationships and solve for missing variables or angles.
--I can classify triangles by their sides and angles.
--I can prove the measures of interior angles of a triangle sum to 180 degrees.
--I can use the Triangle Sum Theorem to find missing angles of a triangle.
--I can identify exterior and interior angles.
--I can use the Exterior Angle Theorem to solve for missing variables and angles of a triangle.
--I can write an inequality to represent the possible lengths for the third side of a triangle given the other two sides.
--I can apply the Side Angle Inequality to order sides and angles of triangles from smallest to largest.
--I can apply the triangle inequality to determine if sides lengths create a triangle.
--I can apply the properties of isosceles and equilateral triangles to find missing sides or angles of the triangle.


Introduction/Connection: students will complete #4, 5, 6, 8 11 on Angles of Triangles w/s (attached below).


Direct Instruction/Guided Practice:
--review bellringer
--review Triangle Sum/Exterior Angle w/s #2 (turned in on Friday)
--guided practice on isosceles/equilateral triangles or triangle sum/exterior angle theorems


Independent Practice/Collaboration/Differentiation:
--differentiation: foldables/graphic organizers, student led instruction/working problems on board, partner work (if used)
--independent practice: students will complete Angle Pairs_Triangle Theorems practice in collaborative pairs and DeltaMath.com assignment (linked in GC)


Summarizer: round robin review of theorems taught: side angle inequality, triangle inequality, triangle sum theorem, exterior angle theorem, isosceles/equilateral theorems.

Resources: DeltaMath

Assignment: students will complete:
1) DeltaMath: Properties of Triangles
2) DeltaMath.com assignment: Review for Unit #2, Test #1 (linked in GC). Remember to log into Deltamath.com/students with Google!