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 kK + 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 1Polygon: (Poly)• Many sided figureHexagon: • Has 6 side and 6 anglesQuadrilateral: (Quad)• Has 4 sidesTriangle: (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.