Two-dimensional figures
Area
This unit covers the area of triangles and quadrilaterals. The quadrilaterals covered are rectangles, parallelograms, and trapezoids. There will also be composite figures of triangles and quadrilaterals where it needs to be taken apart to solve for the total area of the composite figure. This unit is essential to understand in high school mathematics because it prepares students for solving real-world solutions that they could use in their futures.
The overarching standard for this geometry unit is to teach students to be able to apply properties of two-dimensional figures. In understanding how to calculate the area of triangles and quadrilaterals students will be able to utilize this skill in their own lives whether it is figuring out how to fit the bed, desk, and dresser in another room or the maximum length the shoe rack could be to fit in their closet. This unit will incorporate real-world applications to the purpose of calculating areas of triangles, quadrilaterals, and composite figures.
Students will learn how to calculate areas of different figures and apply this knowledge to real-world scenarios that are relatable to their lives. Many students struggle with connecting math problems to their lives, but throughout this unit they will continue to challenge that disconnect and find ways to connect it. Understanding area will help students understand which careers utilize this skill and how they can utilize this skill in their lives.
Geometry means the measurement of the earth. It focuses on the understanding of shapes, sizes, positions of various figures, and its properties in space. Finding the areas of two-dimensional figures is applicable in various careers and professions. Geometric knowledge is used in technical engineering, interior design, architecture, construction, landscaping, and agricultural engineering.
H.1G.5 (Common Core State Standards):
Determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions.
The content standard from the Oregon Department of Education H.1G for high school Geometry requires students to apply properties to two-dimensional figures. The specific standard that was covered in the unit was H.1G.5. The unit covered the area of two-dimensional figures. The two-dimensional figures covered were triangles, parallelograms, rhombi, rectangles, squares, trapezoids, and kites. The curriculum in this Geometry course is driven by Oregon state standards. The course is uses proficiency-based grading, which requires students to take proficiency-based quizzes that are based on the state standards. Overall the tenth grade Geometry classes at North Salem High School will cover about nine Oregon state standards for the 2011-2012 school year.
Oregon is shifting towards following the national Common Core State Standards Initiative. The national standards is designed to prepare "America's students for college and career" (The Standards, 2011). According to the national standards, the Oregon state standard H.1G.5 would be covered in 6th grade classes rather than in high school Geometry classes. Even though national standards will be implemented in Oregon within a few years, it is important to think about how the standards drive curriculum taught in the classroom.
Students will be able to select and apply the correct area formula to find the area of a triangle or quadrilateral with dimensions given.
Students will be able to apply quadrilateral properties to the quadrilaterals to determine the dimensions needed to calculate the area.
Students will be able to determine which quadrilaterals or triangles make up the composite shape in order to calculate the total area of the composite shape.
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