Syllabus

Geometry

 

Q1

G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, & line segment, based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc.

G-CO.A.2 Represent transformations in the plane in multiple ways, including technology. Describe transformations as functions that take points in the plane (preimage) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not (e.g. translation versus horizontal stretch)

G-CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

G-CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

G-CO.A.5 Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.

G-CO.A.9 Prove theorems about lines and angles.

G-CO.A.10 Prove theorems about triangles.

G.CO.D.12 Make formal geometric constructions with a variety of tools and methods ( compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.)

G-GPE.B.2 Use coordinates to prove simple geometric theorems algebraically.

G-GPE.B.3 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

G-GPE.B.4 Find the point on a directed line segment between two points that partitions the the segment in a given ratio.

G-GPE.B.5 Know and use coordinates to compute perimeters of polygons and areas of triangles and rectangles.

G-MG.A.1 Use geometric shapes, their measures, and their properties to describe objects.

G-MG.A.2 Apply geometric methods to solve real-world problems.

G-CO.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

G-CO.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

 

 

Use tools of Geometry

Use coordinates to prove simple geometric theorems algebraically

Explain volume formulas and use them to solve problems

Experiment with transformations in the plane

Prove geometric theorems

Apply geometric concepts in modeling situations

Make geometric constructions

Understand congruence in terms of rigid motions

 

Geometric Properties and Dimensions

Modeling and Introduction to Transformations

Congruence

 

 

Houghton Mifflin Harcourt Geometry 2015

 



 dry erase boards; Calculator

Field Trip/s

None

 

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