Geometry – Grades 10-12

District 2853

Month

Content

Performance Standards Addressed

          Grades 9-11                   Grades 11-12

Skills for Student Achievement

Assessment

 

September

·         Points and Lines

·         Language & Logic of Geometry

Geometry

 - Benchmarks #1, #8

 

·         Identify the four types of points and lines

·         Design a two-point perspective drawing

·         Identify Euclidean postulates, statements and definitions

 

October

·         Angles and Lines Geometer’s Sketchpad

Mathematical Reasoning

 - Benchmarks #2, #6

Geometry

 - Benchmark #1

 

·         Classify angle types and properties

·         Demonstrate a conditional, converse and bi-conditional

·         Use Geometer’s Sketchpad to make conjectures

 

November

·         Reflections and Congruence

Geometry

 - Benchmarks #1, #6, #7

 

·         Classify the types of transformations

·         Design miniature golf hole

·         Determine figure congruence

 

December

·         Proofs and Congruence

·         Polygons and Symmetry

Geometry

 - Benchmark #1

 

·         Identify corresponding parts of congruent figures

·         Write two-column and paragraph proofs

·         Identify types of quadrilaterals and properties

 

January

·         Triangle Congruence

Geometry

 - Benchmark #1

 

·         Classify types of triangle congruence

·         Determine properties and characteristics of parallelograms

 

February

·         Perimeters and Area (Inquiry Standard)

Geometry

 - Benchmarks #3, #4

 

·         Determine area and perimeter of various polygons

·         Apply the Pythagorean Theorem

 

March

·         3 – D Figures

Spatial Sense

 - Benchmark #1

 

·         Draw and classify three-dimensional figures

·         Determine surface nets for 3-D figures

 

April

·         Surface Area and Volumes (Similarity)

Geometry

 - Benchmarks #1, #3, #5

 

·         Compute surface area and volume

·         Demonstrate indirect proof

·         Demonstrate coordinate proof

·         Identify similar figures

·         Apply proportions to problem solve

 

May

·         Similar Triangles and Trigonometry

·         Circles

·         Coordinate Geometry

Geometry

 - Benchmarks #1, #2, #3,

    #4

Computation & Operation

 - Benchmark #3

 

·         Classify types of similarity

·         Apply right triangle properties

·         Use trig properties to determine angle measure and segment length

·         Determine arc measure and arc length

·         Apply properties of circle terms