Unit+of+Instruction

= Geometry Unit - Area =

Lisa Turcotte-Ivins Unit Overview Overview This unit will cover finding the area of various shapes and applying that knowledge to more complex and irregular shapes.

Student Audience This unit is designed for a ninth/tenth grade geometry class.

Timeframe This unit will take 2-3 weeks and each lesson should take 1-2 days.

Rationale Objects we see around us are rarely perfect polygons. This unit will help students have a better understanding of the math that can be used to describe the imperfect shapes around them.

Unit Objectives Students will be able to apply their understanding of area to real-life situations. Students will be able to logically think about real-life situations using the steps and processes used in class. Students will be able to critique and give constructive feedback regarding their own and other students’ work. Students will be able to understand the differences between different units of measurement, both English and metric. Students will be able to find the areas of rectangles, triangles, and circles. Students will be able to use their knowledge of the areas of basic shapes to find the areas of more complex shapes. Students will be able to calculate areas of shapes with non-integer measurements. Students will be able to draw shapes to scale using graph paper. Students will be able to state measurements in inches, feet, and yards no matter which of these units are used. Students will be able to state measurements in millimeters, centimeters, and meters no matter which of these units are used. Students will be able to convert English measurements to metric measurements and vice-versa.

Unit Standards <span style="font-family: Verdana,Geneva,sans-serif;">State content standards for grade 9-12 geometry: <span style="font-family: Verdana,Geneva,sans-serif;">1. find and analyze relationships among geometric figures using transformations (for example, reflections, translations, <span style="font-family: Verdana,Geneva,sans-serif;">rotations, dilations) in coordinate systems; <span style="font-family: Verdana,Geneva,sans-serif;">2. derive and use methods to measure perimeter, area, and volume of regular and irregular geometric figures; <span style="font-family: Verdana,Geneva,sans-serif;">3. make and test conjectures about geometric shapes and their properties, incorporating technology where appropriate

Variations or Adaptions <span style="font-family: Verdana,Geneva,sans-serif;">In order to include all the students in the classroom, each lesson will involve as many different ways of presenting a concept as possible. Students will work both individually and in small groups. I will demonstrate concepts on the board and give students an opportunity to come up and explain these concepts to each other. In addition to drawn figures on the board, I will use manipulatives to represent different shapes.

<span style="font-family: Verdana,Geneva,sans-serif;">In order to challenge the gifted/talented students, I will encourage them to use a floor plan for an entire house or apartment for their authentic assessment rather than just one room. This will involve not only selecting furniture for their assigned floor plan, but selecting fixtures and appliances for bathrooms and kitchens. This will increase the level of difficulty since they now have more things to consider when selecting items than just whether or not something will fit. They will also need to consider convenience and accessibility. For example, does it make sense to put the refrigerator in a position so that the door will block the sink when opened?

<span style="font-family: Verdana,Geneva,sans-serif;">The gifted/talented students will also be encouraged to participate in the instruction of the lesson. They will be given the opportunity to design a lesson of their own to supplement the teacher's instruction.

<span style="font-family: Verdana,Geneva,sans-serif;">Introduction

Areas of Rectangles ||= Lesson #2 Areas of Parallelograms ||= Lesson #3 Areas of Triangles || Areas of Trapezoids ||= Lesson #5 Areas of Kites ||= Lesson #6 Areas of Regular Polygons || Areas of Circles ||= Lesson #8 Sectors, Segments, and Annuli of Circles ||= Lesson #9 Splitting Complex Shapes into Simple Shapes || Areas of Complex Shapes ||||= Authentic Assessment ||
 * = Lesson #1
 * = Lesson #4
 * = Lesson #7
 * = Lesson #10

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