12 Components
Big Ideas
Formative Assessment Lesson
End of Unit Assessments
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Big Ideas
Formative Assessment Lesson
End of Unit Assessments
Big Idea:

### Two triangles can be proven congruent based on the order of their corresponding, congruent sides and angles.

1 week

Evidence of Understanding

• describe the criteria for congruence and justify why corresponding parts of congruent triangles must be congruent (CPCTC)
• identify corresponding parts of congruent triangles
• write congruence statements based on notations in a diagram
• re-draw and re-orient diagrams to highlight corresponding parts of congruent triangles

• prove two triangles are congruent
• explain the congruence between two triangles using rigid motion transformations or constructions
• identify corresponding congruent parts and apply the criteria of SSS, SAS, ASA, or AAS
• prove two right triangles are congruent when corresponding Hypotenuse-Leg (HL) are congruent
• discern when and how to use definitions and the transitive and reflexive properties to establish necessary criteria to prove two triangles are congruent

• decompose polygons, parallelograms, and triangles to prove congruence
• prove that the base angles of an isosceles triangle are congruent
• apply CPCTC to prove that the opposite angles (base angles) of the given sides are congruent
• prove a parallelogram is composed of two congruent triangles
• explore and describe when a parallelogram is composed of four congruent triangles
• prove that a regular hexagon is composed of 6 congruent, equilateral triangles

Develop conceptual understanding:

corresponding parts of congruent triangles are congruent (CPCTC), SSS, ASA, AAS, SAS, Hypotenuse-Leg, base angles, perpendicular bisector, opposite angle/side, parallelogram

Supporting terms to communicate:

corresponding, construct, rotate, reflect, translate, triangle, isosceles, equilateral, scalene, right, acute, obtuse, congruence, equidistant, reflexive property, transitive property, parallel
Core Resource

A core resource supports multiple days of instruction.

• Congruent Triangles
This incomplete Core Resource supports students in being able to develop triangle congruence proofs.
Resource:
Congruent Triangles

This incomplete Core Resource supports students in being able to develop triangle congruence proofs.

All Resources From:
• Unit 2

Instructional Routine: Sharing Skepticism

The primary goal of this instructional routine is to support students in constructing and critiquing mathematical arguments.

• Isosceles Triangles
Students use triangle congruence proofs to show that two angles are congruent.
Resource:
Isosceles Triangles

Students use triangle congruence proofs to show that two angles are congruent.

All Resources From:
• Unit 2