Cluster - Prove geometric theorems.
Created on: April 29, 2015
Website Address: https://www.currikilibrary.org/oer/Cluster--Prove-geometric-theorems
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TABLE OF CONTENTS
Geometry Aligned to CCSS-M Standards
- Unit 1 - Congruence, Proof, and Constructions
- Unit 2 - Similarity, Proof, and Trigonometry
- Unit 3 - Extending to Three Dimensions
- Unit 4 - Connecting Algebra and Geometry through Coordinates
- Unit 5 - Circles With and Without Coordinates
- Unit 6 - Applications of Probability
Unit 1 - Congruence, Proof, and Constructions
- Cluster - Experiment with transformations in the plane.
- Cluster - Understand congruence in terms of rigid motions.
- Cluster - Prove geometric theorems.
- Cluster - Make geometric constructions.
Cluster - Prove geometric theorems.
IN COLLECTION
Encourage multiple ways of writing proofs, such as in narrative paragraphs, using flow diagrams, in two-column format, and using diagrams without words. Students should be encouraged to focus on the validity of the underlying reasoning while exploring a variety of formats for expressing that reasoning. Implementation of G.CO.10 may be extended to include concurrence of perpendicular bisectors and angle bisectors as preparation for G.C.3 in Unit 5.
Collection Contents
Standards: G.CO.9, G.CO.10, G.CO.11
G.CO.9 Prove theorems about lines and angles.
by Allen WolmerProve 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.
G.CO.10 Prove theorems about triangles.
by Allen WolmerProve theorems about triangles. Theorems include: measures 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.
G.CO.11 Prove theorems about parallelograms.
by Allen WolmerProve 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.
