Targets & Standards
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.
Essential Standards
G-CO.A Experiment with transformations in the plane.
G-SRT.A Understand similarity in terms of similarit transformations.
G-SRT.B Prove theorems involving similarity.
G-CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
There are no substandards for this standard.
G-SRT.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides
There are no substandards for this standard.
G-SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
There are no substandards for this standard.
Claim 3 (DOK 2, 3 & 4) Communicating Reasoning:
Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.
Assessment Targets (incorporate as many as possible)
Task Models & Examples (two samples to get the idea)
Supporting Standards
Reengage G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
While working with similarity, revisit definitions of key terms as they present themselves.
G-SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
G-SRT.3. Use the properties of similarity transformations to establish the Angle–Angle (AA) criterion for two triangles to be similar.
There are no substandards for this standard.
G-SRT.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
There are no substandards for this standard.
G-GMD.6 Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve real-world and mathematical problems. CA Only
This is a California only standard.