Hempfield School District Curriculum: Unit Template

Hempfield School District Curriculum: Unit Template Course Title: Geometry - 3273

Unit Title: Vocabulary of Geometry

Names of Teachers who Developed Unit:Hundley and Cunfer

Dates Developed: July-August 2010

Approximate Dates when Taught During School Year: August –September

Approximate Number of Periods:

Summary: In this unit students will begin to build the foundational vocabulary needed to be successful in Geometry. They will apply the vocabulary to algebraic situations.

Print Materials Needed:

Resources: Internet Resource Links: Geometer’s Sketchpad

Essential Questions (Include PA Standards, Anchors & Eligible Content) Big Idea s:  Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.  Spatial reasoning and visualization are ways to orient thinking about the physical world.  Mathematical statements can be justified through deductive and inductive reasoning.  Relations and functions are mathematical relationships that can be represented and analyzed using words and equations.

Essential Questions:  What are the building blocks of Geometry?  How can you describe the attributes of the geometric terms?  How can you describe angle pairs and their relationships?

Assessment Anchors:  M11.C.1 Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.  M11.C.1 Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.  M11.B.2 Apply appropriate techniques, tools and formulas to determine measurements.

Eligible Content:  M11.C.1.2.1 Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships, Triangle Inequality Theorem).  M11.C.1.2.2 Identify and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides/angles and supplementary angles).

1 Hempfield School District Curriculum: Unit Template

 M11.C.1.3 Use properties of congruence, correspondence and similarity in problem-solving settings involving two- and three- dimensional figures.  Reference: 2.9.11.B  M11.B.2.2 Use and/or develop procedures to determine or describe measures of perimeter, circumference, area, surface area and/or volume. (May require conversions within the same system.)  Reference: 2.3.8.A, 2.3.8.D  M11.B.2.1 Use and/or compare measurements of angles.  Reference: 2.3.11.A, 2.3.11.B  M11.B.2.1.1 Measure and/or compare angles in degrees (up to 360) (protractor must be provided or drawn).

Know Understand Do Vocabulary: Students will understand: The students will be able to: point, line, plane,  The vocabulary  Identify the vocabulary in collinear, space, related to geometric figures segment, ray, opposite Geometry  Properly name the rays, postulate, axiom,  The applications vocabulary using the correct intersection, coordinate, of this vocabulary symbolization distance, congruent to algebraic and  Set up and solve algebraic segments, midpoint, geometric equations using this segment bisector, problems vocabulary vertex of an angle, measure of an angle, angle bisector, perpendicular lines, perpendicular bisector, perimeter, area, acute, right, obtuse, straight, congruent, adjacent, vertical, complementary, supplementary, linear pair Facts:

Stage 2: Assessment Evidence

Assessments/Performance Tasks Rubric Titles

Benchmark(s) for Course: Unit’s key Assessments

Self-Assessments Other Evidence, Summarized

2 Hempfield School District Curriculum: Unit Template

Stage 3: Learning Activities

Differentiation: Readiness Profile: Learning Styles / Interest Multiple Intelligences  .  

Accommodations for ELLs: 