Mathin' Around the House Lesson Plan Information | Lesson Plan Activities | Printable version (including handouts) (PDF)

Standard Use Math to Solve Problems and Communicate Outcomes Students will apply prior knowledge of perimeter and area by using irregular shapes. In addition, trigonometry will be introduced through the use of the Pythagorean theorem which will allow students to sketch appropriate diagrams for contextual problems and then solve these problems.

Classroom Information

GED Descriptors      math Roles      Family, Worker, Community Member Program Type(s)      GED, Family Literacy, Workforce Education, Urban, Rural NRS Learner Levels (ABE/GED)       5, 6 Time Frame      2.0 hours Technology Integration Proof of the Pythagorean Theorem There are also multiple sites online with interactive proofs of the Pythagorean Theorem. Polya’s 4-Step Problem Solving Strategy Think Aloud Teaching Strategy

Keywords

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Purposeful, Transparent, Contextual, Building Expertise

Purposeful and Transparent Students will need to be able to find the perimeter and area of any shape regardless on its regularity and they would like to make it as simple as possible, which means getting rid of the need to memorize multiple formulas. Teachers will show students how to break irregular shapes into shapes they can easily identify (triangle, rectangle, and circle), and then guide them in finding perimeters and areas of these irregular shapes. This way, students need only know three formulas. Contextual Geometry has many hands-on, real-world applications. Interior designers, carpenters, and architects must all worry about the perimeter and area of rooms in order to create accurate designs and materials. The Pythagorean Theorem is the basis for the distance formula. It is therefore useful in the airplane industry (making sure planes are a safe distance apart), finding optimal routes, and, once again, in the building fields. Building Expertise Students have mastered finding the area and perimeter of regular shapes, now they have built on this knowledge by finding the area and perimeter for irregular shape by breaking larger shapes into smaller shapes. They have also gained mastery of vocabulary that focuses on Pythagorean Theorem and Polya’s 4-steps to problem solving.

Lesson Designer Chelsie Wollet Cental Southeast ABLE Resource Center (740) 593-4419 wolletc1@ohio.edu

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