YEAR 10

Year 10 Mathematics

Topic 3 Project

Name: ____________________________

Teachers Name: Mr Luke PattersonDate: ______________________

Time: 2 weeks

Topic: Surface Area and Volume

Semester: 1

Semester Weighting: 10%Due Date: Part 1 and Part 2 Written Friday 16 May 2014

Part 2 Packaging only Wednesday 21 May 2014Instructions to students:

Students should:

Work on their own for the project Write answers on separate pages to the task sheet

Show working, where appropriate

Use calculators when necessary Present the project as a typed word document including diagrams

Include referencing when using resourcesYear 10 Surface Area and Volume Project

Project Aim: To investigate surface area of a building and volume of a biscuit packagePART ONE

Aim To find the surface area of a building and its windowsTask

1. Using the internet as a research tool find a building or other structure with windows which is constructed in 1 of the following shapes:a. Pyramid square or rectangular basedb. Cone

c. Cylinder

d. Regular Prism

Note:

Do not choose a complex design

Check that your building is suitable with your teacherUsing 3D Warehouse Google SketchUp include a picture of the structure with labelled major dimensions and referencing. (Refer to your work in IT lessons) (2 mark)

2. Calculate the entire surface area of the building. Make sure you include all formulas and calculations.

(8 marks)3. Calculate the total outside area of the building that is covered by windows. (4 marks)

4. Calculate the percentage of the building which is covered by windows. (2 marks)

PART TWO

Aim

To design an interesting biscuit package that fits a given volume of cookies

Information

The company Crazy Cookies (CCs) is holding a competition to design an interesting packaging for a new exciting type of cookie (biscuit) on the market called Tim Slam. CCs does not want a regular packaging but rather something creative that gets customers attention.Task

1. Design and make a crazy, interesting packaging for Crazy Cookies. The package should be the real size. It should hold between 10 to 20 cookies firmly in the box so they dont break. Each Tim Slam cookie should have a volume of approximately 25cm3.The design of your packaging will be assessed on the:

a. Shape of the packaging selected (You cannot use square or rectangular prisms)

(2 marks)b. Quality of the packaging including suitable dimensions that fit 10-20 cookies, well made and creative

(5 marks)

2. Design the shape and dimensions of your cookies that will fit in to the packaging.The design of the cookies will be assessed on the:

a. Shape and dimensions of cookies is suitable for the packaging. Draw and label dimensions of cookies.

(1 mark)

b. Drawing of a 3D diagram to show how the cookies fit in the packaging. State how many cookies are in the package.

(1 mark)3. Calculate for the cookies and packaging the:

a. Volume of packaging

(3 marks)b. Total volume of cookies that fits in to the packaging

(3 marks)4. Calculate how much space is wasted by:a. Calculating the percentage of packaging that is wasted space

(2 marks)

b. Commenting on whether the wasted space is acceptable

(1 mark)

(Refer to industry standards eg. Reduce section of www.wasteonline.org.uk/resources/informationsheets/packaging.htm)APPENDIX 1REFERENCING A WEB-SITE USING THE HARVARD SYSTEM

Referencing you work correctly is extremely important in Section One of the project. Any websites you gathered information from should be included in your Bibliography so that we can verify your data and working out. An example of a reference list is shown below:

REFERENCES

Anglia Ruskin University, 2009, Harvard System of

Referencing Guide, viewed 19 May 2009,

http://libweb.anglia.ac.uk/referencing/harvard.htm

Fieggen, Ian W, 2009, 17 Different ways to tie shoelaces, viewed 19 May 2009, http://www.fieggen.com/shoelace/knots.htmYour references should be listed in alphabetical orderDont forget to acknowledge your sources within your report as wellIN TEXT CITATION

..There are 17 different ways to tie shoelaces, including the standard shoelace knot, the two loop knot and the intriguingly named turquoise turtle knot (Fieggen,2009)..

YEAR 10 MATHEMATICS ASSIGNMENT RUBRICASSESSMENT CRITERIAABCDEScore

KNOWLEDGE

Part 1Demonstrates very high level of proficiency in the use of facts, techniques and formulaDemonstrates high level of proficiency in the use of facts, techniques and formulaDemonstrates some proficiency in the use of facts, techniques and formulaDemonstrates limited use of proficiency in the use of facts, techniques and formula studiedDemonstrates very limited use of proficiency in the use of facts, techniques and formula studied/16

PROBLEM SOLVINGPart 2Selects, extends and applies appropriate modelling and problem solving techniquesSelects and applies appropriate modelling and problem solving techniquesWith direction, applies a model. Solves most problems.Solves some problems independentlySolves some problems with guidance/18

REASONING Uses relevant mathematical reasoning to develop logical arguments Justifies procedures by stating rules and uses supporting words and diagrams Uses relevant mathematical reasoning to develop logical arguments Uses some relevant mathematical reasoning to develop logical arguments Uses some relevant mathematical reasoning to develop simple logical arguments Uses limited reasoning /3

COMMUNICATIONConsistently presents in different contexts:

Correct terms & symbols

Correct grammar, sentences, units and answer form

Correct working out including steps, vertical layout, diagrams and tablesGenerally presents in different contexts:

Correct terms & symbols

Correct grammar, sentences, units and answer form

Correct working out including steps, vertical layout, diagrams and tablesPresents in different contexts:

Correct terms & symbols

Correct grammar, sentences, units and answer form

Correct working out including steps, vertical layout, diagrams and tablesSometimes presents:

Correct terms & symbols

Correct grammar, sentences, units and answer form

Correct working out including steps, vertical layout, diagrams and tablesSometimes presents with guidance:

Correct terms & symbols

Correct grammar, sentences, units and answer form

Correct working out including steps, vertical layout, diagrams and tables/3

TECHNOLOGY

Consistently uses required technology appropriately, effectively and accuratelyGenerally uses required technology appropriately and effectivelyUses required technology appropriatelyUses required technologyUses some required technology/3

REFERENCINGUses in-text referencing and bibliography correctly.Mostly uses in-text referencing and bibliography correctlySometimes uses in-text referencing and bibliography correctlySome bibliography and/or in-text referencing is providedLittle or no bibliography or referencing is provided/3

Final mark:

/46

Grade:

Comments:

Title of the Document found at the start of the page put in italics

Year of Document usually found at bottom of page

Authors Name or Name of Website

The date you viewed the website

The website you accessed. Must be underlined.

authors surname, date of publication