Transcript Document
Relationships in Geometry Friday January 31st Objective for today. • I understand where we are headed in this unit. • I can tell you what we will be covering in this unit. • I know the vocabulary for section 1! 3 sections to this unit Section 1: Area and Polygons • Essential Question: • How can you find the area of an irregular polygon using area formulas. • There will be four lessons in this section. – Area of Quadrilaterals – Area of Triangle – Solving Area Equations – Area of Polygons Section 2 Distance and Area in the Coordinate Plane • Essential Question: • What steps might you take to solve a polygon problem given the coordinates of its vertices? • There are two lessons in this section. – Distance in the coordinate plane – Polygons in the coordinate plane Section 3 Surface Area and Volume of Solids • Essential Question: • How can a model help you to solve surface area and volume problems? • There are 3 Lessons in this section. – Net and Surface Area – Volume of a Rectangular Prism – Solving Volume Equations Review Skills needed! • • • • Inverse operation (Solving Equations) Examples: 7k=35 k is multiplied by 7 7k=35 use the inverse operation, division 7 7 k=5 K + 7 = 9 7 is added to k K + 7 – 7 = 9 – 7 use the inverse operation K=2 subtraction Try a couple • • • • • • • • 9p = 54 P=6 M – 15 = 9 M = 24 b/8 = 4 B = 32 Z + 7 = 23 Z = 16 Area of Squares and rectangles • • • • • Finding the area of a rectangle: Formula: A = length x width A = lw If we have a rectangle that is 7 ft tall and 4 ft wide. • A = lw A = 7 x 4 • A = 28 ft squared Try one! • A rectangle with a base of 9 inches and a height of 11 inches. • What is the area? Vocabulary Review Words Section 1 Polygon: (Poly) • Many sided figure Hexagon: • Has 6 side and 6 angles Quadrilateral: (Quad) • Has 4 sides Triangle: (tri) • Has 3 sides and 3 angles More Vocabulary Review • Square • Has 4 equal sides and two pair of parallel sides. Has 4 right angles. • Rectangle • Has 4 right angles and two pair of parallel sides. New Vocabulary Words Section 1 • Parallelogram: • A quadrilateral in which opposite sides are parallel and congruent. • Trapezoid • A quadrilateral in which two sides are parallel. • Rhombus • A quadrilateral in all which side are congruent and opposite sides are parallel.