Geometry Story Board - Option 2

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
Image

An image of a writing utensils used for geometry

Construction Survey Tools

Polygons and Circles

Inground pool
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 the phenomena by making predictions or drawing conclusions. What new discoveries and understandings are required to better quantify the world in three-dimensions? Lastly, we dive into the different 3-D shapes in order to analyze and apply their properties to practical situations such as architecture, construction, or landscaping.
Transfer 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 shapes locations and orientation.
  • I can solve problems involving parallel lines.
  • I can solve problems involving triangles utilizing their properties.
  • I can prove triangles 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.