Task 1:



25400031115000Common Assessment Task, Learning Sequence 1, 2015Subject: Mathematics SupportYear Level: 9Student Name:This COMMON ASSESSMENT TASK will be used to measure your achievement against the skills and understandings that we studied during this learning sequence.You are required to complete each part of this assessment, and finish within the timeline allocated. You need to work through the assessment from beginning to end, using the scaffolds and instructions included within each part of the task.Use your rubric and feedback from your teacher to guide you from one part of the assessment to the next. Make sure you evaluate the accuracy and success of each part before moving on to the next. After you complete your own checking, you need to show your teacher who will advise you if your work is at the expected level. This is an independent task but you may ask questions to clarify the requirements of the task. Remember that your teacher will NOT do the work for you; he/she will help you with the thinking you need to employ to complete the work. Remember to organise your time appropriately so you can complete as much of the assessment task as possible in the time given. You are permitted to bring the following to class during this assessment task:Maths WorkbookLaptopCalculatorRulerTextbookPens, Pencils and general stationeryCommon Assessment Task OverviewTask 1:Calculate the Rate and Ratio of various objectsApply understanding of Rates and Ratios to accurately construct scale diagrams of promotional material and the cost of production and transport of promotional materials for a rock band.Task 2:Analyse two images to determine the scale of the diagram and the pattern being displayed by the data.Analyse two quotes for printing and decide the cheapest quote for the jobs.Task 3:Create a scale image of the original poster to form a prototype sticker.Evaluate the impact of the size of the job on the price. Why do printing jobs get cheaper, the more you print? Is this statement always true?Student Declaration:I declare that this assessment is my individual work after seeking and receiving feedback from my peers and teacher. I have not copied from another student’s work or from any other source, except where due acknowledgement is made explicit, nor has any part being written or completed for me by another person.Student Name:Student SignatureDate:Task 1:Part 1: Calculate the Rate and Ratio of various objects. Make sure all working is displayed on the lined paper given and attach this to the CAT.A map has a scale of 1:25000. What distances on the ground do these lengths on the map represent? Give your answers in km.4cm22cm48cmWhat lengths on the map represent these distances on the ground?3km8km4.2kmRebecca has three different maps of her town. Each map has a different scale. The length of the road Rebecca lives on is 1450m. How long is the road on the three maps?Map 1- Scale 1:5000Map 2- Scale 1:25000Map 3- Scale 1:60000Harry Potter went to school at Hogwarts. He needed to travel from the Potions room to the Hospital Wing and has his broom stick with him, so that he can fly. If this map has a scale of 1:65000, how far will he fly?32435312744290002753707327934438872072649963If Harry Potter travels at a rate of 2m/s, how long will it take Harry to move from the Potions room to the Hospital Wing?Part 2: Apply understanding of Rates and Ratios to accurately construct scale diagrams of promotional material and the cost of production and transport of promotional materials for a rock band.A rock band is formed by Harry Potter and his friends. They want to put on a concert for Hogwarts and need to produce a range of promotional materials to get the ticket sales they need to cover their costs.The Great Hall at Hogwarts costs $1000 to hire for the 3 hour concert. If they sell tickets for $15 each, how many tickets will they need to sell to cover the Hall hire?If they sell 150 tickets, how much money will they have left over for promotion of the concert after the Hall Hire is paid for?If there are 800 students at Hogwarts, what proportion of students will need to purchase a ticket to reach the target of 150 tickets?Harry designs a simple promotional poster on A4 paper: 210mm x 297mm . He wants to create:A3 posters: 297mm x 420mm Postcards: 105mm × 148mm Stickers: 95mm x 55mmComplete the following table using these measurements and make sure the ratio is in its simplest form.Paper SizeLengthWidthLength:WidthAre these sizes in proportion or will part of the original image need to be cropped?A4 paper (original)A3 paperPostcardStickersHarry would like to colour the bottom rectangle under the Hogwarts Crest, in Shiny Gold. This costs extra to print, depending on the area to be covered. Determine the Area of the bottom, right hand rectangle under the Hogwarts Crest for each of the paper sizes.Paper SizeScale FactorA4:new sizeLength of bottom right hand rectangleWidth of bottom right hand rectangleArea of bottom right hand rectangleA4 paper (original)1:14.3cm15.1cmA3 paperPostcardStickersTask 2:Analyse two images to determine the scale of the diagram and the pattern being displayed by the data. Analyse two quotes for printing and decide the cheapest quote for the jobs.Harry draws the front of Hogwarts on both the A4 and A3 posters. Below is the image on the A4 poster.Reproduce the image of the front of Hogwarts to according to the scale factor needed for the A3 poster. Make sure your image is accurately drawn in proportion.Harry then reproduces a guitar on both posters. Has he used the correct scale factor for the A3 poster? Explain your response by calculating the scale of each guitar. A4 sizeA3 SizeThe promotional material is now ready for printing. Harry decides that he needs 30 A4 posters, 20 A3 posters, 200 postcards and 1000 stickers. The parcel will weigh 12kg. He goes to two printing companies to get quotes. Which company should Harry go with?Company 1Company 2ItemNumber of CopiesCost per copyItemNumber of CopiesCost per copyA4 posters0-5050-100100-200200+$0.50$0.40$0.30$0.20A4 postersAny quantity$0.35A3 posters0-5050-100100-200200+$1.00$0.95$0.90$0.80A3 postersAny quantity$0.85Postcards0-5050-100100-200200+$0.55$0.50$0.45$0.40PostcardsAny quantity$0.60Stickers0-100100-300300-5001000+$0.20$0.18$0.16$0.14StickersAny quantity$0.20Shiny Gold Printing$0.10/cm2 + $2.00 set up fee$0.50/cm2Set up feePer item type$35.00Set up feeFREETransport cost$10/kgTransport costFlat rate$60Task 3:Create a scale image of the original poster to form a prototype sticker.Stickers are 95mm x 55mm. Harry has left his original poster for you to create the sticker prototype. Create a scale diagram of the original poster to the size of the sticker. Make sure all elements of the poster are in the sticker and are in proportion. Are there any parts of the poster you will need to crop or resize to create the sticker? If you need to crop or resize, make sure you annotate the sticker to explain your decision.Make sure your sticker fits in the printing dimensionsExplain the impact of the size of the job on the price. Use your knowledge of rates and ratios to explain why printing jobs get cheaper, the more you print. Is this statement always true?Write an explanation of the impact of the size of the order on the price quoted.Getting started:What factors affect the price of printing?What patterns can you see in these factors? Are these patterns signalling a rate or a ratio or something else entirely?Are they fixed prices or do they depend on the size of the order?What evidence can you use from the two companies that gave Harry quotes in Task 2?Is there a graphic organiser or table that can help you decide the price quoted, such as a concept map or flow chart?Writing an explanationPurpose: To explain how or why e.g. To explain the processes involved or explain why something is the way it is.Language features:Written in simple present tense. E.g. Bees collect pollen from flowers.Use of temporal connectives (words that show order in time or sequence) e.g. First, then, after that, finally.Use of causal connectives (words that show cause and effect) e.g So, because of this, thereforeWriting structure:Introduce the topic being explained with a general statement. The steps or phases in a process are explained logically, in order. E.g. When the nights get longer… Because the temperature begins to drop… So the hedgehog looks for a safe place to hide.Explanation ChecklistThird personPresent tenseA general opening statementPassive voice (avoid personalising)Formal languageCausal connectives: words that signal cause and effect e.g So, because of this, thereforeTemporal connectives: words that show order in time or sequence e.g. First, then, after that, finally.Correctly labelled diagrams/flowcharts (if required)A clear, logical explanationTechnical vocabulary (have you mentioned rates and ratios in your answer?)Used evidence from your investigation of printing quotesWritten for your audienceRe-read your explanation as if you know nothing at all about the subject. Check that there are no gaps in the information. ................
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