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Counting Triangles
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Counting Triangles

Geometry & Algebra II Archive

Geo U1: Tools of Geometry

Big Idea: Big Idea 3

Students will use transformations implicitly to count the number of shaded triangles in a diagram. During sharing of strategies and through annotation, the transformations used will be made explicit.

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Type
Geometry: Tools of Geometry
File
Google Doc
Tags
construct viable argument, transformations, congruence, counting, instructional routine
Standards
Common Core: Supporting Standards ( G-CO.A.3, G-CO.D.12, G-CO.D.13 )
+— Details
Common Core: Supporting Standards:
G-CO.A.3

Experiment with transformations in the plane. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Clarification: Trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.”

G-CO.D.12

Make geometric constructions. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

G-CO.D.13

Make geometric constructions. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

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