Problem Solving Using Geometry

Math 6

2

OBJECTIVES:

1. Determine what is being asked.

2. Plan how to solve the problem.

3. Solve problems using everything you’ve learned.

4. Communicate the answer.

Key Vocabularyarea

surface area

volume

decomposing

edges

dimensions

net

vertices

face

base

height

trapezoid

isosceles

right

triangle

quadrilateral

rectangles

squares

parallelograms

Trapezoids Rhombi Right rectangular Prism Perpendicular Right anglesPerimeterTrianglesPolygons

PrismsSquare units Cubed unitsSurfaceSpaceInteriorExterior2-dimensional3-dimensional

Key Vocabulary

Online Math Dictionaries

http://www.mathsisfun.com/definitions/letter-a.html

http://www.icoachmath.com/math_dictionary/mathdictionarymain.html#P

http://my.hrw.com/math06_07/nsmedia/tools/glossary/msm/glossary.html

Guided PracticeNorman is a sunflower farmer. His farm

is in the shape of a parallelogram with a height measuring 3 kilometers and a base measuring 4.2 kilometers.

To the nearest tenth of an acre, what is the total land area Norman uses?

Guided Practice Ella and Veronica are in charge of

making a banner for the volleyball game this Saturday. How much poster paper will they need for a parallelogram-shaped banner with height of 3 ½ feet and base of 6 feet? Explain how you found your answer.

Guided Practice

Courtney wants to carpet part of her bedroom that is shaped like a right triangle with a base of 4 meters and a height of 5.2 meters.

How much carpet will she need?

Guided Practice Mrs. Giuntini’s lawn is triangle

shaped with a base of 25 feet and a height of 10 feet. What is the area of the lawn?

Explain how you found your answer.

Guided Practice Alexia’s bathroom has a tub in the

shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic feet of water can it hold?

Guided Practice

Jane is covering her flower bed with mulch to help stop weeds from growing. What is the area of her flower bed if it is a rectangular space that is 22 feet long and 2 feet wide?

Guided Practice

A frame is made using a 9 inch by 12 inch piece of wood. An 8 inch by 11 inch section is cut from the center of the wood. What is the area of the frame?

Guided Practice

A trapezoid has base lengths of 19.5 and 24.5 centimeters with an area of 154 cm2. What is the height of the trapezoid?

Guided Practice

Suppose in a parallelogram the base is 8 and the height is 4. What is the area of this parallelogram?

ConclusionAs you work through a problem, ask, “What is the most efficient way to solve the problem?”, “Does this make sense?”, and “Can I solve the problem in a different way?”

Since there is almost always more than one way to solve a problem, be ready to communicate your answer with others. You could teach them or they could teach you, or both.

Assignments

Complete the attached Geometry problem solving page. Show all work, and

COMMUNICATE your answer.

"No employment can be managed without

arithmetic, no mechanical invention without geometry." ~Benjamin Franklin