Measurement – Cubby House – Mathematics Assignment Help

Assignment Task

Topic 1: Scales, Plans, and Models, and Topic 2: Measurement – Cubby House
The Task
Your task is to design and cost a cubby house for a family backyard.
Your cubby house design needs to take into consideration the following guidelines:
the area available in the yard for the cubby house is 5m x 3m
the cubby house needs to be painted with more than one colour
the family would like to have a door that can be opened and closed
the family have a maximum budget of $2000 to spend on the cubby house
the family have an additional $2000 to spend on sturdy equipment such as a slippery dip and rock climbing fittings or netting for a climbing wall.
The complexity of your design will determine the complexity of the calculations you need to carry out. Using only simple shapes like squares and rectangles may lead to calculations that are routine in nature.
To ensure that you have calculations that are complex in nature you should consider including in your design one or more of the following:
composite shapes for doors or windows (e.g. a window that is formed from a rectangular pane with an isosceles triangle pane at the top)
a pitched roof
an fence for safety that has varying heights if the cubby is built off the ground.
The following link may be useful in explaining the basics of building a cubby house:

Part 1 – The Design
Create a design following the guidelines above. Draw sketches of your cubby house, including individual representations of the front, back, sides and the floor plan (the view of the cubby house from above). Include the relevant measurements and indicate what paint colour will be used to paint each main surface. Also indicate where the sturdy equipment (such as a slippery dip) will be attached.
Note: no calculations are needed at this point. This initial design will be placed in your appendix.
Have your design approved by your teacher before you proceed with the investigation.

Part 2 – Materials needed to build the cubby house
Investigate what materials you would like to use for the cubby house and the associated dimensions and the costs for each product that you are considering e.g. timber posts, treated pine, nails, hinges for doors and or windows, fast set concrete, paint, exterior board, iron sheeting. Place all of this information into the appendix.

Part 3 – Sturdy equipment to be built onto the cubby house
Investigate what sturdy equipment you would like to purchase for the cubby house and the costs for each product that you are considering. Place all of this information into the appendix.

Part 4 – Scaled plan
Draw scaled plans of the front and back views, side views, and floor plan of the cubby house.

Part 5 – Make a prediction about the cost of your cubby house
Use the information in Parts 2 and 4 to make a rough estimate of the cost of building the cubby house you have designed. Make a prediction about whether $2000 will be enough. Do not carry out extensive or accurate calculations at this point of time.

Part 6 – Mathematical calculations for the materials you need to purchase
Using the information in Parts 2 and 4, work out the amount of each material needed to build your cubby house. Clearly show all working out, including formulas used and appropriate measurement units. You should consider things such as:
the volume of cement needed to concrete all the support poles into the ground
the length of all different types of wood that needs to be bought for building the frame
the area of wall cladding material that needs to be purchased
the cost of fixtures such as doors and windows
the amount of paint required to paint each of the surfaces
the area of the roofing material needed.

Part 7 – Calculating cost
Use the calculations in Part 6 and the costs you have already collected in Part 2 to determine an accurate cost for the materials required to build and paint your cubby house design. Make sure you allow for error margins when costing materials. Discuss how close your prediction in Part 5 was to the cost calculated here.

Part 8 – Discussion of the results and conclusion
Discuss the outcome of your mathematical investigations, including any assumptions you have made, and things which may affect the accuracy of your calculations. If you went over (or spent less than) the $2 000 budget allowed for building the cubby house, how might you deal with this (consider where you could save or spend more money on the build or consider changes to the budget for the sturdy equipment).

The report
The response must be a maximum of 12 single-sided A4 pages if written, or the equivalent in multimodal form. This excludes appendices and a bibliography if used.
Introduction
Read the whole task and write an introduction that outlines what you will be doing in this task in your own words. Explain what you are planning on constructing.
Planning
Complete Parts 1, 2 and 3, and place in the appendix.
Mathematical Investigations
Complete Parts 4 through to 7.
All products used in making the cubby house should be clearly identified on your scale diagrams and costed appropriately. The location of each piece of sturdy equipment on the cubby house needs to be clearly identified on the scale diagram. You do not need to include scale diagrams of the sturdy equipment.
Discussion
Discuss things such as
any assumptions you made when designing the cubby house
the overall cost of the cubby house
things that could affect the accuracy of the calculations.
Conclusion