Habitat for Humanity Scenario
Congratulations on becoming a Youth Leader for Habitat for Humanity! It is time to start planning
the home you will build for a family in need of shelter.
1) Use Geometer's Sketch Pad to design a home that is one floor and is a total of 130m 2 .
Keep in mind that in this family there are two parents and one child. You will need a minimum of
two bedrooms, a bathroom, a kitchen, and a living room. Include a scale drawing with names of
rooms and dimensions of each. Discuss the reasoning behind your design.
Activity One: Introduction to Geometer's Sketchpad
2) Carpet has been donated for the bedrooms. How much carpeting is needed in m2?
Review: Perimeter and Area of Composite Plane Figures
3) All of the area that is not carpeted will need to be covered with tiles. If a tile is 25 cm by 25 cm,
how many tiles will they need?
Review: Perimeter and Area of Composite Plane Figures
4) The family would like to make the tiles. If the tiles are 7mm thick, how much material will they
need?
Review: Volume of Prisms
5) A well needs to be installed. It will be cylindrical in shape with a depth of 10 metres and a diameter
of 1.3 metres. How many cubic metres of soil will need to be removed for the well?
Review: Volume of Cylinders
6) The family would like a back deck with a railing. 20 metres of railing have been donated. Three
sides of the deck will need railing (the fourth side will be against the house). 2 metres for a walkway
will be without railing.
a) What is the maximum area of a deck that you can build?
b) Add this to your original sketch of the home.
Review: Greatest Area with a Fixed Perimeter
7) The family has had enough top soil donated to create 16 square metres of garden in their back yard to
grow vegetables. They will need to put a put a low fence around the garden to keep out animals.
a) What is the minimum possible perimeter of the garden?
b) Add this to your original sketch of the home.
Review: Smallest Perimeter that surrounds a Fixed Area
Unit 3 Performance Task: Habitat for Humanity Scenario Rubric
Categories
Level 1
Level 2
Level 3
Level 4
(50 - 59%)
(60 - 69%)
(70 - 79%)
(80 - 100%)
Knowledge and
Understanding
- solve problems involving
the area of composite plane
figures
- solve problems involving
the use of area, perimeter,
and volume formulas.
- solves problems involving the
area of composite plane figures
with limited effectiveness
- solves problems involving the
area of composite plane figures
with some effectiveness
- solves problems involving the
area of composite plane figures
with considerable effectiveness
- solves problems involving the
area of composite plane figures
with a high degree of effectiveness
- solves problems using area,
perimeter, and volume formulas
with limited effectiveness
- solves problems using area,
perimeter, and volume formulas
with some effectiveness
- solves problems using area,
perimeter, and volume formulas
with considerable effectiveness
- solves problems using area,
perimeter, and volume formulas
with a high degree of effectiveness
Thinking
- use estimation to
determine reasonableness
of results
- analyse given scenario
- investigate the maximum
area of a rectangle when
the perimeter is fixed
- uses estimation to verify the
reasonableness of results with
limited effectiveness
- uses estimation to verify the
reasonableness of results with some
effectiveness
- uses estimation to verify the
reasonableness of results with
considerable effectiveness
- uses estimation to verify the
reasonableness of results with a
high degree of effectiveness
- provides limited insight in
analysis of given scenario
- provides some insight in analysis
of given scenario
- provides considerable insight in
analysis of given scenario
- provides thorough insight in
analysis of given scenario
- constructs a variety of rectangles
with a given perimeter with limited
effectiveness
- constructs a variety of rectangles
with a given perimeter with some
effectiveness
- constructs a variety of rectangles
with a given perimeter with
considerable effectiveness,
determining the rectangle with
maximum area
- constructs a variety of rectangles
with a given perimeter with a high
degree of effectiveness,
determining the rectangle with
maximum area
Application
- apply the Pythagorean
Theorem
- uses correct symbols or an
algebraic model to a limited degree
in applications of the Pythagorean
Theorem
- uses correct symbols and an
algebraic model to some degree in
applications of the Pythagorean
Theorem
- uses correct symbols and an
algebraic model to a considerable
degree in applications of the
Pythagorean Theorem
- uses correct symbols and an
algebraic model to a high degree in
applications of the Pythagorean
Theorem
- rearranges measurement formulas
with limited effectiveness
- rearranges measurement formulas
with some effectiveness
- rearranges measurement formulas
with considerable effectiveness
- rearranges measurement formulas
with a high degree of effectiveness
- demonstrates limited
understanding of measurement
formulas in an applied setting
- demonstrates some understanding
of measurement formulas in an
applied setting
- demonstrates considerable
understanding of measurement
formulas in an applied setting
- demonstrates thorough
understanding of measurement
formulas in an applied setting
- communicates information using
technology with limited
effectiveness
- communicates information using
technology with some effectiveness
- communicates information using
technology with considerable
effectiveness
- communicates information using
technology with a high degree of
effectiveness
- communicates solutions using
good mathematical form and clear
reasons to a considerable degree
- communicates solutions using
good mathematical form and clear
reasons to a high degree
- rearrange measurement
formulas
- solve a variety of
measurement problems
Communication
- communicates
information using
technology
- communicate solutions to
problems with clear
reasons
- communicates solutions using
good mathematical form and clear
reasons to a limited degree
- communicates solutions using
good mathematical form and clear
reasons to some degree
Download

File - RMSS Gr. 9 Applied Mathematics