Presentation on theme: "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."— Presentation transcript:
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.