Download Geometry 07/07/2016 Course Description: Geometry is a required

Geometry
07/07/2016
Course Description:
Geometry is a required CCR course that covers the traditional geometric content with an introduction
to geometric proof. The emphasis of the course is on geometric relationships of figures, visualization
of geometric properties, and measurement. The course also integrates previously taught algebraic
skills through application to geometric concepts.
Big Ideas:
1. Visualization can help you connect properties of real objects with two-dimensional drawings of
these objects.
2. Some attributes of geometric figures, such as lengths, areas, volume, and angle measure, are
measurable; Units are used to describe these attributes.
3. Two geometric figures are similar when corresponding lengths are proportional and corresponding
angles are congruent.
4. Areas of similar figures are proportional to the squares of their corresponding lengths.
5. Volumes of similar figures are proportional to the cubes of their corresponding lengths.
Essential Learner Outcomes:
Geometry
ELO
#
Essential Learner Outcome Description
Students will apply tools of geometry while exploring lines and
planes including but not limited to identifying and naming points
(collinear and coplanar), lines, and planes and identifying properties
and relationships of lines (parallel lines, perpendicular lines, segment
and angle bisectors).
1
2
Students will apply reasoning and proof including but not limited to
inductive reasoning, conditional statements, and deductive
reasoning.
5
Students will apply properties of triangles and congruent triangles
including but not limited to identifying and classifying triangles,
determining relationships among triangles, identifying congruent
triangles and their corresponding parts, analyze scale changes, and
use triangle congruence to solve problems in real-life situations.
Students will apply properties of polygons and quadrilaterals
including but not limited to identifying, naming, and classifying
polygons, identifying special parallelograms, analyze scale changes,
and recognizing and applying conditions that prove polygons are
congruent or similar.
Students will solve problems involving right triangles including but
not limited to using Pythagorean Theorem and finding trigonometric
ratios.
6
Students will perform transformations and rigid motion on a wide
variety of geometric figures including but not limited to identifying
and applying properties translations, reflections, rotations, and
dilation transformations.
3
4
Standards
G.GPE.B.3
G.CO.A.4
G.CO.A.1
G.CO.C.1, 2, 3
G.SRT.B.1
G.GPE.B.1
G.CP.A.5
G.CO.B.2
G.SRT.A.1, 2, 3
G.SRT.B.1
G.GPE.2, 4
G.MG.A.1
G.SRT.A.1
G.GMD.B.1
G.MG.A.1
G.SRT.C.1, 2, 3
G.CO.A.2,3,4,5
G.CO.B.1
G.GMD.B.2
7
8
9
Students will solve perimeter, area and volume problems of a variety
of geometric figures including prisms, pyramids, cylinders, cones,
and spheres.
Students will apply the properties of a circle to solve various
problems including but not limited to area, circumference, arc
length/measure, sectors, and writing the equation of a circle.
Students will understand independence and conditional probability
and use them to interpret data
G.SRT.C.4
G.GMD.A.1,2
G.MG.A.2, 3
G.C.A.1, 2, 3
G.C.B.1, 2
G.GPE.A.1
G.MG.A.1
G.CP.A.
1,2,3,4,5,6,7,8