Essential Question(s) A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations. Bolded statements represent Essential Questions that span many units and courses. The statements shown in italics represent Essential Questions that are applicable specifically to the content in Unit 3 of Geometry. How is visualization essential to the study of geometry? In what ways do visualization aids help to analyze the two-dimensional figure formed by a cross section of a dimensional figure? In what ways does visualization help to determine what three-dimensional figured is formed by a rotation of a figure about a line? How does visualization facilitate the selection of a geometric figure as a model for a real-world object? How does geometry explain or describe the structure of our world? In what ways do geometric shapes, their measures and their properties, describe real-world objects? How can reasoning be used to establish or refute conjectures? What type of argument must be presented to establish the validity of formulas for circumference of a circle, area of a circle and volume of a cylinder, pyramid or cone?
Essential Question(s) A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourages re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations. Bolded statements represent Essential Questions that span many units and courses. The statements shown in italics represent Essential Questions that are applicable specifically to the content in Unit 3 of Geometry. How is visualization essential to the study of geometry? In what ways do visualization aids help to analyze the two-dimensional figure formed by a cross section of a figure? In what ways does visualization help to determine what three-dimensional figured is formed by a rotation of a figure about a line? How does visualization facilitate the selection of a geometric figure as a model for a real-world object? How does geometry explain or describe the structure of our world? In what ways do geometric shapes, their measures and their properties, describe real-world objects? How can reasoning be used to establish or refute conjectures? What type of argument must be presented to establish the validity of formulas for circumference of a circle, area of a circle and volume of a cylinder, pyramid or cone? dimensional
Geometry_U3_UP_Extending_to_Three_Dimensions_12_10.docx