Big Idea #1: Proving Simple Geometric Theorems Algebraically
3.b classify quadrilaterals in the coordinate plane by proving simple geometric theorems algebraically (i.e., using slope of a line segment, distance, and midpoint formulas to classify quadrilaterals in the coordinate plane) (G.GSR.4.2)
Big Idea #2: Operations with Polynomials Using a Geometric Context
1.a interpret polynomial expressions of varying degrees that represent a quantity in terms of its given geometric context (e.g., interpret polynomial expressions in context as it relates to perimeter, area, and volume) (G.PAR.2.1)
1.b prove that polynomials form a system analogous to the integers in that they are closed under addition, subtraction, and multiplication (G.PAR.2.2)
1.c perform operations with single variable polynomials (i.e., add, subtract, multiply) using algebraic reasoning (G.PAR.2.3)
Big Idea #3: Geometric Constructions *IOAs are ongoing throughout the unit when applicable
3.a use the undefined notions of point, line, plane and the concepts of distance along a line segment and distance around a circular arc to develop and use precise definitions and symbolic notations for angles and parts of lines to prove theorems and solve geometric problems (G.GSR.4.1)
3.c make formal geometric constructions with a variety of tools and methods (i.e., copy a segment and an angle, bisect a segment and an angle, construct the perpendicular bisector of a line segment, construct perpendicular lines, and construct a line parallel to a given line through a point not on the line) (G.GSR.4.3)