Syllabus for Geometry 1^{st} Nine Weeks
Week 

Topic 
1


Essentials of Geometry

2


Reasoning and Proof

3


Reasoning and Proof cont.

4


Parallel and Perpendicular Lines

5


Congruent Triangles

6


Congruent Triangles cont.

7


Relationships within Triangles

8


Similarity

9


Similarity cont.

The following skills should be the focus for this Nine Weeks:
*In addition to the standards below, Power Standards skills should be taught and assessed throughout the school year.
Standard 1: Mathematical Processes
CLE 3108.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
• SPI 3108.1.1 Give precise mathematical descriptions or definitions of geometric shapes in the plane
and space.
CLE 3108.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing
cases, estimation, and then checking induced errors and the reasonableness of the solution.
CLE 3108.1.3 Develop inductive and deductive reasoning to independently make and evaluate
mathematical arguments and construct appropriate proofs; include various types of reasoning, logic, and
intuition.
CLE 3108.1.4 Move flexibly between multiple representations (contextual, physical written, verbal,
iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to model mathematical ideas, and to
communicate solution strategies.
CLE 3108.1.5 Recognize and use mathematical ideas and processes that arise in different settings, with an emphasis on formulating a problem in mathematical terms, interpreting the solutions, mathematical ideas, and communication of solution strategies.
CLE 3108.1.6 Employ reading and writing to recognize the major themes of mathematical processes, the
historical development of mathematics, and the connections between mathematics and the real world.
CLE 3108.1.7 Use technologies appropriately to develop understanding of abstract mathematical ideas, to facilitate problem solving, and to produce accurate and reliable models.
Standard 2: Number and Operations
CLE3108.2.3 Establish an ability to estimate, select appropriate units, evaluate accuracy of calculations and approximate error in measurement in geometric settings.
• SPI 3108.2.1 Analyze, apply, or interpret the relationships between basic number concepts and
geometry (e.g. rounding and pattern identification in measurement, the relationship of pi to other
rational and irrational numbers)
Standard 3: Algebra
CLE 3108.3.1 Use analytic geometry tools to explore geometric problems involving parallel and
perpendicular lines, circles, and special points of polygons.
CLE 3108.3.2 Explore the effect of transformations on geometric figures and shapes in the coordinate plane.
• SPI 3108.3.1 Use algebra and coordinate geometry to analyze and solve problems about geometric
figures (including circles).
Standard 4: Geometry and Measurement
CLE 3108.4.1 Develop the structures of geometry, such as lines, angles, planes, and planar figures, and
explore their properties and relationships.
• SPI 3108.4.1 Differentiate between Euclidean and nonEuclidean geometries.
• SPI 3108.4.2 Define, identify, describe, and/or model plane figures using appropriate mathematical
symbols (including collinear and noncollinear points, lines, segments, rays, angles, triangles,
quadrilaterals, and other polygons).
CLE 3108.4.2 Describe the properties of regular polygons, including comparative classification of them and special points and segments.
CLE 3108.4.3 Develop an understanding of the tools of logic and proof, including aspects of formal logic as well as construction of proofs.
• SPI 3108.4.4 Analyze different types and formats of proofs.
CLE 3108.4.4 Develop geometric intuition and visualization through performing geometric constructions with straightedge/compass and with technology.
CLE 3108.4.5 Extend the study of planar figures to threedimensions, including the classical solid figures,
and develop analysis through crosssections.
CLE 3108.4.6 Generate formulas for perimeter, area, and volume, including their use, dimensional analysis, and applications.
• SPI 3108.4.6 Use various area of triangle formulas to solve contextual problems (e.g., Heron’s
formula, the area formula for an equilateral triangle and A = ½ ab sin C).
• SPI 3108.4.7 Compute the area and/or perimeter of triangles, quadrilaterals and other
polygons when one or more additional steps are required (e.g. find missing dimensions given
area or perimeter of the figure, using trigonometry).
• SPI 3108.4.8 Solve problems involving area, circumference, area of a sector, and/or arclength
of a circle.
CLE 3108.4.7 Apply the major concepts of transformation geometry to analyzing geometric objects and
symmetry.
• SPI 3108.4.10 Identify, describe, and/or apply transformations on two and three dimensional
geometric shapes.
CLE 3108.4.8 Establish processes for determining congruence and similarity of figures, especially as related to scale factor, contextual applications, and transformations.
• SPI 3108.4.11 Use basic theorems about similar and congruent triangles to solve problems.
• SPI 3108.4.12 Solve problems involving congruence, similarity, proportional reasoning and/or
scale factor of two similar figures or solids.
Standard 5: Data Analysis, Statistics, and Probability
CLE 3108.5.1 Analyze, interpret, employ and construct accurate statistical graphs.
