Unit 1:

Coordinate Geometry

Geometry is a way to understand the real world around us by basing arguments on concrete referents, modeling relationships, and applying mathematical principles to understand geometric properties and concepts using objects, drawings, diagrams, and actions. 

The Story of Geometry - Unit 1: Coordinate Geometry (Up to 34 days)

Think of this unit as the introduction to high school geometry.  Students will explore constructions and the tools of geometry.  They will  look at the definitions and properties related to lines, angles, quadrilaterals, and triangles.  This unit will not go into triangle congruence or similarity theorems as those are the specific work of Units 2 and 3. “The fundamental purpose of the Geometry course is to introduce students to formal geometric proofs and the study of plane figures.  Students begin to formally prove results about the geometry of the plane by using previously defined terms and notions.”  This begins here in Unit 1 with students knowing & developing definitions, proving geometric theorems, making constructions and exploring parallel & perpendicular lines.  In high school, “students begin to formalize their geometry experiences from elementary and middle school, using definitions that are more precise and developing careful proofs.”  Care should be taken to keep this unit and the course as whole on grade level by diving deeper into concepts previously introduced in middle school.  Additional depth in this unit specifically  is mainly explored through the supporting GPE standards.  Greater depth in the G-CO standards is explored in the next unit dealing with Congruence, specifically transformations & triangles.  The one exception is G-CO.13, which is a big idea of Unit 5: Circles.  Proofs can be extended to quadrilaterals inscribed in a circle G-C.3 as well.

Unit 1 & The Need to Examine Claim 3

Most of the geometry course is tested in Claim 3, Communicating Reasoning: Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.  Communicating reasoning should begin here in Unit 1 and be evident in instruction and assessment throughout the unit.  Students should be primarily engaged with SMP #3: Construct viable arguments and critique the reasoning of others.  Teachers should devote time at the beginning of the year to understand  Claim 3 for themselves, especially the Assessment Targets, Task Models and Examples.

Vocabulary, Tools & Developmental Notes from SBAC

Claim 3, Communicating Reasoning: Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.

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