Grade 7&8 Gallagher’s Culminating Geometry Math Project.
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Transcript of 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.
Interdisciplinary Links