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Table Tennis Re-invention Assignment Mathematics Stage 5 Name…………………………………………………………………………………………… Outcomes Assessed MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts MA5.1-2WM selects and uses appropriate strategies to solve problems MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context MA5.1-4NA solves financial problems involving earning, spending and investing money MA5.1-8MG calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms MA4-19SP collects, represents and interprets single sets of data, using appropriate statistical displays MA4-7NA operates with ratios and rates, and explores their graphical representation Design Situation (The background or context) The design situation is the story or the problem from where the brief comes from. Whenever designers spot a need for a product or item there is always a story behind it. What is your design situation? The New South Wales Department of Education is attempting to address the problem of childhood obesity and inactivity by encouraging students to become more active in their daily lives. The Department of Education is promoting the sport of table tennis in all schools as a fun, easy to play activity that is not affected by weather. The sport of Table Tennis has been enjoyed by people for over 100 years. However, the activity and the equipment have remained basically the same. To encourage participation in schools, the Department of Education is looking for a company that can re-invent the sport of table tennis and make it more appealing to students by offering a more modern design of the sport. Activity 1 Key Information Activity 1: Underline the key words from the design situation and re-write it as dot points in the “key words column”. Re-write a simplified design situation using your written dot points Key Words New Paragraph Design Brief (statement that presents the task) The design brief outlines the specific task that will help you to solve the problem of the design situation. This will in fact instruct you on what you need to do, but it will not tell you HOW to solve the problem. The sport of Table Tennis has been enjoyed by people for over 100 years. However, the activity and the equipment have remained basically the same. To encourage participation in schools, the Department of Education is looking for a company that can re-invent the sport of table tennis by making tables that are new and appealing to students. The Department of Education would like the following factors to be considered: design and shape of the table. storage and assembly. safety (traditional table tennis tables have sharp corners that can harm players during play). Activity 2: Write down a “sales pitch” outlining what your company will do and why your company should be selected to build the tables _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ Activity 3 Company Creation Activity 3: Create and draw your company logo and company slogan Company Name ……………………………. Company Logo Option 1 Option 2 Option 3 Company Slogan Activity 4 Table Tennis Dimension The official table tennis table dimensions (in centimetres) are labelled below. Activity 4: Convert the above dimensions from centimetres (cm) to millimetres (mm) and metres (m) Dimensions Length Width Height Net Height Net Overhang centimetres (cm) millimetres (mm) metres (m) Activity 5 Table Tennis Design Ideas An official table tennis table is rectangular in shape. It is played by either 2 or 4 players at a time. There are many examples of alternative table tennis designs. Activity 5: Your task is to search the internet and find 3 alternative designs for table tennis tables. Explain the positives and negatives of each design. Positives Table 1 Copy and Paste the link here Table 2 Copy and Paste the link here Table 3 Copy and Paste the link here Negatives Activity 6 Material Research Activity 6: Your task is to research the type of materials you will need to build your table tennis table Table tennis tables are traditionally made from timber with metal or timber legs (supports). The type of timber used for the table can be particle board with a smooth surface layered on top, MDF or ply wood with a low-friction coating painted on it. Research and consider which type of timber will be the most appropriate for your table. Factors to consider include: o most cost effective o most durable o bounce of the ball o safety Complete the table below Ply Negatives Positives Cost per square meter $/𝑚2 Positive MDF Particle Board Activity 7 Table Tennis Design Sketch When designing a new product, limitations may be placed on the design and the designer, by the customer. These are a list of requirements that the customer wants met within the design of the product. Limitations MUST be followed as this is what the customer has requested. The table below lists the limitations that apply to the design of table tennis tables for schools Limitations Your table must be made from wood (MDF or Ply) Your table must be supported by wooden trestle table legs You must design your own net configuration The table must be able to be stored vertically and flat, and have no protruding parts The table must be able to be easily carried by two people You must be able to build your table in one day The table needs to be painted (undercoat and top coat) Activity 7: Your task is to re-invent the game of table tennis. Sketch 3 different design ideas, that you may consider building, on the following pages. Idea 1 Description Idea 2 Description Idea 3 Description Justification Decide on the idea that you prefer and make a statement about the reasons for your choice. ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________ Activity 8 Table Tennis Table Rules Activity 8: Outline the rules that apply to your game. For example: How many players Players must move to the next court after each point Server must serve across the court Rules Activity 9 Table Dimensions The dimensions of your table will need to be considered when determining the timber you purchase. For example will you need one sheet of timber or two sheets of timber and brace them together? Activity 9: Complete the following questions regarding the dimensions of your table. Table Top Draw your table below and label the dimensions Trestle Table Legs Draw your trestle table legs below and label the dimensions What timber will you use for your table? What timber will you use for the legs of your table? What are the dimensions of the timber you are purchasing? What are the dimensions of the timber you are purchasing? How many sheets of timber will you need to complete your table? How many lengths of timber will you need to complete your table? Activity 10 Measuring Activity Levels Activity 10: Measure, display and explain the changes in your heart rate, resulting from a game of table tennis. Method: Participate in a game of table tennis. Take your heart rate at different intervals (before the game, 2 minutes into the game, 5 minutes into the game, end of the game, 1 minute after the game, 2 minutes after the game) Take your heart rate for 15 seconds and record. Multiply by 4 to get beats/minute and record. Following the experiment, graph your results on a Cartesian place. Explain why any changes in your heart rate occurred (muscles requiring oxygen to activate, oxygen carried in blood, heart responsible for pumping blood around the body, heart has to work harder when the muscles require more oxygen and blood to cope with exercise, decrease in need for oxygen when exercise is finished, fitter people have different shape graph to less fit people) Use data to enter into microsoft excel and generate their own graph. Resting H/R Beats/ 15 sec Beats/min 2 min exercise 3 min exercise 1 min rest 2 min rest Explanation of changes to heart rate ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ Activity 11 Budget When designing and building a new product, it is essential that your costs do not exceed your income. If your cost are greater than the income you earn, you will make a loss. All businesses are trying to make a profit. Therefore, your income must be greater than your expenses. For this task you will be paid $22.50 per/hour. Keep a record of every hour you have spent designing and building your product. Record this in the income column. AND Keep a record of all the materials and equipment you have purchased. Record this in the expenses column. At the conclusion of building your table, calculate the total of your income and expenses and determine if you have made a profit. Activity 11: Keep a record of your income and expenses in the table below. Income Total Expenses Total Activity 12 & 13 Evaluation Activity 12: Evaluate your design. Identify 5 things that are good about your table and 3 things that you would change/improve. Good Improve Activity 13: Evaluate another group’s design. Identify 5 things that are good about their table design and 3 things that you would change/improve. Good Improve