Grade 7&8 Gallagher’s Culminating Geometry Math Project

In this project YOU: Are the ARCHITECT and 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/ requirements 1. 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/ requirements 3. 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 m 2 ? 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.

Interdisciplinary Links BUILDING OUR DREAM HOUSE TECHNOLOGY Measurement skills Building and construction design Drawing skills ENGLISH Output presentation skills Ability to answer questions with clarity and logic ARTS/ARCHITECTURE Structural design Color/picture Creativity Visual presentation MATH Computational skills Using/comparing patterns Identifying geometric figures Conversion of units VALUES Resourcefulness Cooperation teamwork SCIENCE Selection and use of construction materials Air ventilation design