Measurement of 2D Figures

UNITS OF INSTRUCTION

March 29 - April 23

Unit 8 Topics

13-1 Areas of Parallelograms and Triangles

13-2 Areas of Trapezoids, Rhombuses, and Kites

13-3 Areas of Regular Polygons

13-4 Perimeters and Areas of Similar Figures

13-5 Trigonometry and Area


TEKS

11A, 11B

6D, 9B, 11B

9B, 11A

10B, 11A

9A, 11A

Assignments

Introduction

This unit bundles student expectations that address perimeter and area of two-dimensional figures and composite figures including regular polygons. Effects of dimensional changes and arc length and sector area of circles are also addressed. Concepts are incorporated into both non-contextual and real-world problem situations. According to the Texas Education Agency, mathematical process standards including application, tools and techniques, communication, representations, relationships, and justifications should be integrated (when applicable) with content knowledge and skills so that students are prepared to use mathematics in everyday life, society, and the workplace.

During this Unit

Students apply processes for finding area, perimeter, and circumference of two-dimensional figures and investigate dimensional change of two-dimensional figures. Students explore relationships in regular polygons and derive the formula for area of a regular polygon. Students investigate various methods for finding the area of regular polygons in mathematical problems. Students find perimeter, circumference and area of two-dimensional figures and area of regular polygons in problem situations, including proportional and non-proportional dimensional change. Students explore perimeter and area of composite figures, including compositions with regular polygons in problem situations. Students define the arc length of a sector of a circle and the area of a sector of a circle. Students explore the proportional relationships between circumference of circle and arc length and area of circle and area of sector. Students find perimeter and area of composite figures, including compositions with regular polygons in problem situations. Students address changes in scale or measurement units. Students use proportional relationships to find the length of arcs and area of sectors of circles in problem situations.

The information in this section is quoted from