MATH 202: Data Analysis, Geometry, and Measurement for the ...

Geometry (7-8 weeks)Basic Terms• Develop geometric language and use basic geometric terms to appropriately communicatemathematical ideas.• Include language of an informal deductive nature (all, some, none, if-then, what if).Plane Figures• Measure angles and explore relationships between sets of angles.• Classify quadrilaterals using minimum characteristics and develop logical arguments about theproperties.• Classify triangles according to their sides and to their angles.• Investigate the interior, exterior, and central angles of regular polygons. Look for generalizations.• Use physical models to explore regular and semi-regular tessellations, and determine whichregular polygons will tessellate.• Use physical and visual models to explore reflection and rotation symmetry of plane figures.• Construct plane figures using geometric tools (protractor, compass, mira, LOGO).• Use physical and visual models to explore congruence and similarity.• Formulate and solve problems whose solutions require two-dimensional spatial sense.• Use physical and visual models to investigate transformations (slides, flips, and turns).Space Figures• Explore properties of prisms, pyramids, other polyhedra, cylinders, cones, and spheres.• Analyze and describe regular polyhedra. Look for generalizations• Explore reflection and rotation symmetry of space figures.• Formulate and solve problems whose solutions require three-dimensional spatial sense.Measurement (4-5 weeks)Nonstandard and Standard Units of Length, Area, and Volume• Develop ideas that units to record measure are different from the process of measurement itself.• Use standard and nonstandard units to estimate and measure various attributes.Customary and Metric Units• Present measurement through its historical development.• Provide a variety of experiences with the customary and metric systems.Area and Perimeter: rectangles, squares, parallelograms, triangles, trapezoids, circles, irregular polygons• Develop the formulas for area and perimeter through meaningful activities.• Investigate relationships between area and perimeter.• Formulate and solve problems whose solutions require two-dimensional spatial sense.Volume and Surface Area: polyhedra, prisms, pyramids, spheres, cones• Develop the formulas for volume and surface area through meaningful activities.• Investigate relationships between volume and surface area.• Formulate and solve problems whose solutions require three-dimensional spatial sense.Pythagorean Theorem• Discover, generalize, and communicate conjectures which support the Pythagorean Theoremthrough the use of area models.• Formulate and solve problems whose solutions require the Pythagorean Theorem.6. Course Format: Students work individually and in small groups to solve problems and participate inactivities in class and to complete assignments outside of class. Faculty engages students in interactive