Common Core Geometry. Chapter 11. Area

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So, this is the year when you have to switch over to the new Common Core Standards for high school geometry, but you don't quite know what that means. Or perhaps you know the new standards but haven't had time to re-align your course. I have your answer. I've created a set of PowerPoints and Word worksheets, aligned to the Common Core, that will take you from the first day of the course to the last.

This is Chapter 11 of my Common Core-aligned course in geometry. The topic is area. Below is a description of the chapter's eight sections.

11.1 Introduction to Area. Area is defined as the number of unit squares necessary to cover a figure without gap or overlap. Students are given the opportunity to apply this definition to a number of simple polygons.

11.2 The Square and Rectangle Area Formulae. The square area formula is first derived, and by its use the rectangle area formula is derived. Many applications are then made.

11.3 The Parallelogram and Triangle Area Formulae. The parallelogram and triangle area formulae are derived by use of the rectangle area formula. They key in each case is to take a figure and 'box it up'. The derivations are followed by applications.

11.4 SAS, ASA and SSS Triangle Area. Students are taught how to find the area of a triangle given information of the SAS, ASA or SSS type. Heron's Formula is introduced and applied.

11.5 Areas of Trapezoids, Rhombuses and Kites

11.6 Areas of Regular Polygons. The 1/2Pa formula is derived and applied.

11.7 Circle Area. A limit-type proof is given of the circle area formula. As in the proof of the constancy of pi (Chapter 9), the key to the proof is inscribed regular polygons. After the derivation follow the applications.

11.8 Similarity and Area. It is explained why, if a figure is scaled by a factor of k, the area changes not by the factor k but by the factor k squared. This is done by examples of scaled figures of many kinds.

For each section, there is both a PowerPoint and a Word worksheet. The worksheets give ample practice in the day's topic.

The worksheets are appropriate for both Honors and non-Honors classes. Questions marked H are intended for Honors only. The chapter includes a Challenge problem set. It is intended for Honors students. Worksheets include answers to selected questions.

A description of the course can be found among my downloads. The title is "Course Contents with Commentary".
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