Section A: Description of the object (10 Marks) 45 INSTRUCTIONS In this section you include photos of your chosen 3-D object (rectangular prism or pyramid) from different angles, leading to a discussion of its shape from different viewpoints. You then describe your object in terms of its mathematical properties, as fully as possible. You would consider things like the name of the object, which 2-D shapes it is made up of, the number of faces, edges and vertices. Then use Geogebra, to draw up a not-to-scale drawing of the net of your object, with all relevant measurements indicated, to the nearest millimetre. (You need this to plan the mathematical construction to scale of your net in section B.) FORMAT This section will include photos, and written / typed information. You can use the pro
forma template to assist. Some sections may be typed and others hand written / drawn. For the Geogebra image, you will need to produce a readable printout. TECHNICAL REQUIREMENTS Make sure you give clear and appropriate headings, that the work is neat and legible, and layout is neat and easy to follow. Section B: Mathematical construction of net (12 marks) INSTRUCTIONS Select the appropriate size of paper (plain) for your net, and use mathematical instruments to CONSTRUCT the net by hand, referring to the measurements and rough drawing you created in Section A. Page 2 of 7 MATI301 – Assessment 2024-02-02/01 FORMAT The construction will be done by hand, referring to your Geobebra work. For the hand
drawn construction the following guidelines must be followed: Use a pencil, compass, protractor, and ruler. Should your paper not be big enough to construct your net, you may glue pages together to make it work. Ensure it is labeled correctly, folded (if needed), and attached as part of the submission AT THE BACK of the document. All construction marks must be evident (especially arcs), and all measurements and properties indicated (e.g. if lines or angles are equal). TECHNICAL REQUIREMENTS Do not erase any construction marks, and draw the final net lines in a darker shade for them to show up clearly. Only pencil is used in the drawing, and all measurements and labels are written in pen. Section C: Calculations (8 marks) INSTRUCTIONS Using the correct formulas and referring to your Geogebra drawing (not to scale) with measurements, calculate the Total Surface Area AND Volume of your object. Give appropriate descriptive headings, lay out formulas and measurements. Remember to insert the correct units of measurements with the final answers. You may use a calculator to assist you with the working out, but show steps clearly. FORMAT This section must be clearly labelled, and described with appropriate headings/text, and may be typed or neatly hand-written. TECHNICAL REQUIREMENTS Work must be well described with headings, steps and units of measurement. The layout and presentation must be neat. Section D: Investigation of TSA and Volume (9 marks) This section is an extension investigation into the Total Surface Area (TSA) or Volume of your object. For this section you need to investigate how your measurements will change if you choose to halve OR double your object’s TSA OR Volume. FORMAT Start this section with stating clearly whether you are investing doubling OR halving of TSA or Volume (e.g. In this investigation I will be investigating the effect doubling of Volume will have on my object’s measurements). Next you clearly indicate the double/half TSA/Volume you wish to achieve (in other words identify your intended outcome clearly). Then describe what you did to investigate how to achieve this, but do not only show working out. We want to see what thought processes you followed, even if they were not Page 3 of 7 MATI301 – Assessment 2024-02-02/01 correct initially. In the end prove your findings with calculations, and support with a non
scale drawing with measurements indicated, before and after the change. Write a final reflection on what you learned during this investigation. Lastly, end off with a prediction (conjecture) of the effect on an aspect you did not investigate, substantiating your conjecture fully. TECHNICAL REQUIREMENTS Make sure you start with a statement indicating what option you selected to investigate and the specific outcome. Then lay out your investigation and outcomes, including a hand-drawn, or using Geogebra version, of the original measurements and the changed measurements. There also has to be a paragraph describing your final generalized finding, ending with a last paragraph predicting an outcome you did not investigate, including your reasoning why you expect such an outcome. Section E: Peer-Assessment & Personal reflection, and marker’s overall impression (6 marks) INSTRUCTIONS Before submitting your assignment, you need to give your assignment with a rubric to a fellow student to assess. Then you need to complete a self-reflection on your experience of this assignment. You will also get a mark for the overall impression and quality of your assignment. FORMAT Peer assessment is done on a rubric provided in the template/pro-forma document. Complete the Personal Reflection section provided after the peer assessment, either electronically or by hand, and include a copy of this to your assignment. TECHNICAL REQUIREMENTS This section can be completed online, printed, and attached, or printed and completed by hand. It needs to be clearly labelled and included in your submission. Page 4 of 7 MATI301 – Assessment 2024-02-02/01 MATI301 – Assessment 2024-02-02/01 Page 5 of 7 GUIDANCE Refer to the marking instrument (rubric) below, to understand the assignment performance expectations and how your work will be assessed. Please print the rubric, as available on the LMS, and attach to the front of your assignment when handing it in. You will find a Pro-forma template for the front page and some of the content, as well as the Personal Reflection guideline available on the LMS. The document Geogebra in 10 Easy Lessons will also be on the LMS to assist you with the software. Once you have completed your assessment, use the ch
The post “Exploring the Mathematical Properties of 3-D Objects: A Study on Rectangular Prisms and Pyramids” Investigating the Effect of Changing One Variable on Another in Geogebra
Peer Assessment:
Criteria | Excellent | Good | Fair | Poor | Score
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Choice of investigation and specific outcome | The chosen investigation is appeared first on academic aid express.
