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

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# File - RMSS Gr. 9 Applied Mathematics