MA 3143: Geometry

Subject Area

Credits 1

Years

Level

High School

Geometry is designed to help students understand the basic structure of geometry and apply geometric concepts and skills in authentic situations. The course focuses on the development of problem-solving skills and the acquisition of mathematical vocabulary and symbols. The active engagement of students along with the use of manipulatives and technology, such as computer programs and calculators, will allow students to develop an understanding of the geometric principles they are learning. Topics include reasoning and proof, lines and their relationships, triangles and their relationships, and polygons and quadrilaterals. Students will gain an appreciation of the structure of geometry and develop powers of spatial visualization. Students enrolled in this course may need to take the Geometry End-of-Course test. Students cannot receive credit for both Geometry (MA 3143) and Geometry Honors (MA 3225).

Prerequisites

Algebra I (MA 3130) or Algebra I Honors (MA 3220)

Parent Docs

Geometry Parent Doc 2021-2022

Storyboard

Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking?
Title	Foundational Topics	Triangles	Polygons and Circles	3-D Figures
Focus of the Story	How do we classify and quantify geometric figures? We start our year using a pencil, straightedge, and compass to create lines and geometric shapes. We also learn the logical framework to use geometric properties to justify arguments.	How do triangles and their properties form the fundamental building blocks of the physical world around us? Next, we discover new properties by constructing and comparing triangles using the foundational topics. We then apply the new properties to solve authentic applications such as GPS and Land Surveys.	How do we leverage our knowledge of triangles to extend our understanding to more complex shapes? Next, we quantify and visualize real-world phenomena such as earthquakes and sea level change. We utilize our understanding of geometry to better understand phenomena by making predictions or drawing conclusions.	What discoveries and understandings are required to better quantify the world in three dimensions? Lastly, we dive into the different 3-D shapes to analyze and apply their properties to practical situations such as architecture, construction, or landscaping.
Transfer Goals	Analyze: Investigate, formulate, and construct viable arguments by taking risks, persevering, and thinking flexibly.	Explain: Communicate mathematical thinking by justifying solutions using multiple representations while attending to precision.	Explore: Make sense of the world mathematically by asking questions and making connections through inquiry.	Apply: Utilize effective strategies, processes, and tools to model new situations and/or real-world experiences.
Learning Targets	I can utilize logic to construct and judge the validity of a logical argument. I can analyze and construct basic geometric figures. I can utilize transformations to alter a shape's locations and orientation. I can solve problems involving parallel lines.	I can solve problems involving triangles utilizing their properties. I can prove triangles are congruent and similar. I can utilize my knowledge of Pythagorean theorem and trigonometry to solve real-world problems.	I can differentiate between the types of quadrilaterals and apply their properties to solve real-world problems. I can utilize the properties of polygons to solve problems. I can analyze and apply circle properties to better understand the world around me.	I can solve practical problems involving surface area and volume. I can apply concepts of similarity to three-dimensional figures.

Geometry: Assessment Matrix
Title	Unit	Rich Tasks:	Learning Target
	Unit 1: Reasoning	Conditional Comic Logical Drivers	I can utilize logic to construct and judge the validity of a logical argument
	Unit 2: Foundations of Geometry	Textbook Designer	I can analyze and construct basic geometric figures
	Unit 3: Transformations	Airshow Transformation Project	I can utilize transformations to alter a shapes locations and orientation
	Unit 4: Lines and their Relationships	Lines, Tigers, and Bears City Designer Recreation Center	I can solve problems involving parallel lines
	Unit 5: Triangles and their Relationships	Take a Trip	I can solve problems involving triangles utilizing their properties.
	Unit 6: Similarity	How tall is the tree	I can prove triangles are congruent and similar.
	Unit 7: Right Triangles	Take me out (Ballgame) Fire Truck	I can utilize my knowledge of Pythagorean theorem and trigonometry to solve real-world problems.
	Unit 8: Polygons and Quadrilaterals	Tabletop Build	I can differentiate between the types of quadrilaterals and apply their properties to solve real-world problems.
	Unit 8: Polygons and Quadrilaterals	Sea Cities	I can utilize the properties of polygons to solve problems
	Unit 9: Circles	Shake, Rattle, and Roll Where should we sit	I can analyze and apply circle properties to better understand the world around me.
	Unit 10: Area, Volume, and Similar Solids	Swimming Pool	I can solve practical problems involving surface area and volume
	Unit 10: Area, Volume, and Similar Solids	Joy of Jenga	I can apply concepts of similarity to three-dimensional figures.