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.
42 Lessons
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Precious ParallelogramsGeometry» Unit:Pretty Polygons
Geometry
» Unit:
Pretty Polygons
Big Idea:Proofs + Parallelograms = Pretty Pairing! Students prove that opposite sides in a parallelogram are congruent and that opposite angles are also congruent.
Finally Finals #1Geometry» Unit:Finally Finals
Geometry
» Unit:
Finally Finals
Big Idea:It's time for Jeopardy! In this review lesson, students will play Jeopardy to review key topics covered in the Geometry curriculum like transformations and perpendicular bisectors.
Shifty ShearsGeometry» Unit:Area Relationships
Geometry
» Unit:
Area Relationships
Big Idea:We use Cavalieri's Principle to analyze racing yacht sails, the face of a deck of cards, and shears...which are used in yet another transformation proof.
Triangle Congruence and CPCTC PracticeGeometry» Unit:Discovering and Proving Triangle Properties
Geometry
» Unit:
Discovering and Proving Triangle Properties
Big Idea:Through a kinesthetic menu activity, students will be able to use congruent triangles to write proofs about special triangles and quadrilaterals.
Proofs with Triangle Congruence ShortcutsGeometry» Unit:Discovering and Proving Triangle Properties
Geometry
» Unit:
Discovering and Proving Triangle Properties
Big Idea:In stations, students can choose to work individually or with a partner to prove properties of special triangles and parallelograms using triangle congruence shortcuts.
Investigating Special QuadrilateralsGeometry» Unit:Introducing Geometry
Geometry
» Unit:
Introducing Geometry
Big Idea:In this hands-on investigation, students will explore properties of special quadrilaterals and ultimately come up with a minimal defining list to differentiate them from one another.
Introducing Geometry Unit AssessmentGeometry» Unit:Introducing Geometry
Geometry
» Unit:
Introducing Geometry
Big Idea:Students will get to see how they, as individuals, perform on the unit test.
Developing the Family Tree of QuadrilateralsGeometry» Unit:Quadrilaterals
Geometry
» Unit:
Quadrilaterals
Big Idea:What does the family tree look like for the quadrilaterals?
Presenting PolygonsGeometry» Unit:Pretty Polygons
Geometry
» Unit:
Pretty Polygons
Big Idea:Tri, Quad, Pent, Hex ... learn the key vocabulary for polygon shapes and find interior angle measure for these pretty polygons!
Interior and Exterior Angle Sum of PolygonsGeometry» Unit:Discovering and Proving Polygon Properties
Geometry
» Unit:
Discovering and Proving Polygon Properties
Big Idea:Through investigating a variety of polygons with different numbers of sides, students will discover the interior and exterior angle sum for any polygon.
Introductory Investigation of QuadrilateralsGeometry» Unit:Quadrilaterals
Geometry
» Unit:
Quadrilaterals
Big Idea:Students familiarize themselves with quadrilaterals by using a ruler and protractor to investigate the characteristics that define each polygon.
Origami Cranes and Geometric DefinitionsGeometry» Unit:Proofs about Parallelograms
Geometry
» Unit:
Proofs about Parallelograms
Big Idea:Students explore theorems about parallelograms through a hands-on activity. By the end of the activity, students will have made an Origami Crane!
Quadrilateral Tangram InvestigationsGeometry» Unit:Proofs about Parallelograms
Geometry
» Unit:
Proofs about Parallelograms
Big Idea:This lesson is a pre-assessment to identify what the students know about the properties of quadrilaterals. They use tangrams to form shapes and write about what they discover.
Problem Solving with QuadrilateralsGeometry» Unit:Quadrilaterals
Geometry
» Unit:
Quadrilaterals
Big Idea:Students put their knowledge of quadrilaterals to work solving numerical and algebraic problems.
Parallelograms in ActionGeometry» Unit:Pretty Polygons
Geometry
» Unit:
Pretty Polygons
Big Idea:Students persevere through challenging problems that use properties of parallelograms and derive characteristics of special cases of parallelograms like squares, rhombi and rectangles.
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.