Created on: March 31, 2015

Website Address: https://library.curriki.org/oer/Unit-1--Congruence-Proof-and-Constructions

TABLE OF CONTENTS

- Waqar Test Resource
- Algebra
- Pre-Algebra
- Teaching linear equations through running a small business
- Algebra for Statistics Week 1 Lessons Plans and Activities
- intro to slope
- KS3 Mathematics: Algebraic Expression: Unit 1
- KS3 Mathematics: Algebra: Expanding Brackets
- KS3 Mathematics: Alegbra: Hot Cross Buns
- KS3 Mathematics: Algebra; Solving Equations
- Animated PowerPoint for Demonstrating How to Solve One Step Algebra Equations with Addition or Subtraction
- Algebra Games
- Conundra Math (FREE)
- Factor Race (Algebra)
- Algebra Champ (FREE)
- Algebra Genie (FREE)
- Equation Grapher from PhET
- Negative Exponents Worksheet - Customizable and Printable
- Balancing Equations Worksheet - Customizable
- Single Quadrant Graph Paper - Customizable and Printable
- Pythagorean Theorem Worksheet
- Metric Prefixes Flashcards - customizable and printable
- Conics
- MATH
- 3.1a PowerPoint
- MATH
- MATH
- 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

IN COLLECTION

Contains the following Standard Clusters:

• Experiment with transformations in the plane.

• Understand congruence in terms of rigid motions.

• Prove geometric theorems.

• Make geometric constructions.

Build on student experience with rigid motions from earlier grades. Point out the basis of rigid motions in geometric concepts, e.g., translations move points a specified distance along a line parallel to a specified line; rotations move objects along a circular arc with a specified center through a specified angle.

Rigid motions are at the foundation of the definition of congruence. Students reason from the basic properties of rigid motions (that they preserve distance and angle), which are assumed without proof. Rigid motions and their assumed properties can be used to establish the usual triangle congruence criteria, which can then be used to prove other theorems.

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.

Build on prior student experience with simple constructions. Emphasize the ability to formalize and explain how these constructions result in the desired objects. Some of these constructions are closely related to previous standards and can be introduced in conjunction with them.