Grade 7&8 Gallagher’s Culminating Geometry Math Project

Grade 7&8 Gallagher’s Culminating Geometry Math Project

In this project YOU:

Are the ARCHITECTand you

Are the BUILDER

Group’s Name__________________ Date Submitted_________________ Specifications for House Plan Sketch

using large graph paper Floor plan should be a footprint of actual

size for your constructed house Must be done neatly in pencil Plan must conform to the customer’s

specifications Sketch must use the correct scale factor Sketch must have the following items:

Name of the designer(s) Whom the house plans are for Date Scale factor Rooms must be labeled as follows: * Front of House * Back of House * Length and width of rooms * The direction where doors open * Height of ceilings

PROJECT CRITERIA/ requirements1. Your design must not exceed to 400 square meters.2. Your dream house must have the following :- at least 8 total rooms- swimming pool- garage ( 2 cars )- servants quarter- garden- Pet house

PROJECT CRITERIA/ requirements3. Total costs of the house is $800,000. Which includes interior design (paint, floors, drywall, kitchen etc.). Outside (stone, brick, siding, wood)?

Consider your cost factor compared with the materials you will use to design your house. You will be asked to justify why the cost of eg. stone x surface area of your house.

Your model should have at least one each of these four solids: prism (triangular/rectangular), pyramid, cylinder & cone.

- Find the measures of the different parts of the house using the prescribed scale drawing and appropriate mathematical formulas.

Find the volume of the solid portions of your dream house. Be sure to write all formulas, and show all your work.

DISCUSSION IDEAS

CONCEPTS Identify the parts of the

house that use polygons. What kind(s) of polygons

are present in the house model?

Which part of the house represents lines, points and planes?

What is the floor area in m2? Specifically the 8 rooms, calculate the SA and Volume.

Additional Math BONUS!

Which triangle in the model house is an isosceles triangle?

What will happen to the model house if no two sides are congruent?

Identify parts of the model house that represent perpendicular lines.

Which parts of the house represent three- dimensional shapes?

What is the difference between two- and three – dimensional shapes?

COMPUTATIONAL SKILLS What is the floor area of the

model of the house in cm? What is its perimeter?

What are the measures of the biggest and the smallest angles found in the house model?

COMPUTATIONAL SKILLS What is the SA and Volume of

the solid portions of your dream house?

INSIGHTS What did you learn from this

activity? What did you like best about it? What do architects do?

EXTENSION & EXPLORATION

You can calculate the flooring of the bedrooms.

You can calculate the paint needed to paint one room, etc.

Compute the difference in costs of different floor coverings

Internal materials and external

ASSESSMENT

PROJECT COMPLETION- 40% GEOMETRY APPLICATION -35% GROUP ASSESSMENT – 15% SELF ASSESSMENT – 10%

TOTAL – 100%

Due date: Roughly 3 weeks to complete.

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