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- HSG-CO.C.9Prove 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.
- HSG-CO.C.10Prove 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 third side and half the length; the medians of a triangle meet at a point.
- HSG-CO.C.11Prove 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.

HSG-CO.C.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.

PTA (Parallel Lines, Transversals and Angles)

Geometry

» Unit:

Line-sanity!

Big Idea:Students will draw and measure to discover relationships of angles formed by parallel lines cut by a transversal.

Becoming More Familiar with the Rules for Transformations

Geometry

» Unit:

Transformations

Big Idea:Name that transformation! Students will work at identifying transformations performed upon geometric figures.

Parallel Lines Intersected by a Transversal

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will build on prior knowledge about the relationships between angles and parallel lines to write formal proofs.

Intersection Logic

Geometry

» Unit:

Dimension and Structure

Big Idea:Using conjectures about intersections to justify a claim: students find the right argument to make their case.

Algebra and Angle Pairs

Geometry

» Unit:

Tools of Geometry

Big Idea:More basics of Geometry: Drawing diagrams, identifying and naming angles and angle pairs, and solving algebraic problems involving angle pairs. And an answer to that eternal question - why can't we just measure instead of doing constructions?

Recyled Definitions

Geometry

» Unit:

Introducing Geometry

Big Idea:Given a set of definitions, students will try to find counterexamples while applying their understanding of basic geometry vocabulary, particularly types of angles.

Who's a Widget? Making Sense of Definitions

Geometry

» Unit:

Introducing Geometry

Big Idea:Students will write precise definitions based on examples and non-examples and test these definitions by looking for counterexamples.

Parallel Lines Challenge Problem

8th Grade Math

» Unit:

Transformations

Big Idea:Challenge students to prove what they know about parallel lines and angle relationships when the diagram is unique and exact angle measures irrelevant.

Proofs about Angles

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will apply postulates to write two column proofs using vertical angles, complementary angles and supplementary angles.

Proofs using Postulates

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will explore the equality postulates used in geometric proofs.

An Introduction to Proof and Parallel Lines

Geometry

» Unit:

Parallel Lines

Big Idea:Students are introduced to the two-column proof, and put this knowledge to work on vertical angles and the angle pairs created by parallel lines and transversals.

Angle Chase Justification

Geometry

» Unit:

Discovering and Proving Angle Relationships

Big Idea:By working several different students, focusing on justification, and revising work after giving and receiving peer feedback, students will justify their reasoning about vertical angles and angles formed by parallel lines.

Proving It

Geometry

» Unit:

Line-sanity!

Big Idea:This lesson begins to builds students understanding of proofs using Algebra and Geometry.

Angles of a Triangle

Geometry

» Unit:

Parallel Lines

Big Idea:Students learn about the different types of triangles, the relationships between the interior and exterior angles of a triangle, and apply their knowledge to numerical problems and constructions.

Now Angles

Geometry

» Unit:

Introduction to Geometry: Points, Lines, Planes, and Angles

Big Idea:Learn to be like Euclid in this lesson that’s all about measuring, constructing and apply concepts of angles.

HSG-CO.C.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.

HSG-CO.C.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 third side and half the length; the medians of a triangle meet at a point.

HSG-CO.C.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.