Year+10++Measurments+and+Geometry

=**Measurement and Geometry Year 10**=

Apply logical reasoning, including the use of [|congruence] and [|similarity], to proofs and numerical exercises involving plane shapes [|(ACMMG244)] differences || Determine the relationship between side length and volume in similar solids || trigonometry || Organise data using tables || repetition and calculation || Apply formula to calculate volume of solids || properties || Enlarges or reduces a diagram given a scale factor || Robinson, K. (2001). Out of our minds Learning to be creative. //Learning to be// //creative //, 123-1140. Booker G, B. D. (2010). //Teaching primary mathematics.// Forest French ,NSW: Pearson. ||  || Sounds simple enough? Except I have some specific requirements and guidelines you must adhere too My old fridge =Free Standing Side-by-Side fridge Width: 32 inches to 36.5 inches Height: 66 inches to 70 inches Depth without the door and handle: 28 inches to 29.5 inches To start Use this site to design your kitchen ( there are lots more to chose from if you want ) [] To work out the design of my beautiful new kitchen I have to
 * Elaborations**
 * presenting formal geometric arguments to develop skills in mathematical reasoning and presenting reasoned arguments (proofs)
 * using mathematical language and notation, based on congruence and similarity
 * Declarative knowledge || Procedural knowledge ||
 * use mathematical interpretations and conclusions to generalise reasoning and make inferences || analyse situations to identify the key mathematical features and conditions, strategies and procedures that may be relevant in the generation of a solution ||
 * Reflect on learning, apply new understandings and justify future applications. || plan and conduct activities and investigations, using valid strategies and procedures to solve problems ||
 * Instruments, technologies, strategies and formulas are used to estimate, compare and calculate measures and derived measures, including rate, area, duration and Australian time zone
 * Lengths and angles that cannot be measured directly can be investigated using scale, similarity or
 * Judgments can be made about acceptable error of measurement and error can be compounded by
 * Geometric conventions are used to describe a variety of 2D shapes and 3D objects, including curved surfaces, and compound and embedded shapes || Calculation and application of ratio and proportion ||
 * 2D shapes and 3D objects and their cross-sections can be represented as sketches, drawings or electronic images, using specifications and conventions to identify and show geometric
 * If the only different between two shapes is the size then they are similar. They have corresponding side lengths and angles || Find scale factor of enlargements or reductions ||
 * Scale factor is a number that you multiply a measurement by to increase or decrease its size ||  ||
 * Having this knowledge , I am able to explain my thinking and deduce strategies and logical thought such as analysing, evaluating. I can adapt the known to the unknown, and transfer learning from one context to another. Sir ken Robinson tells us to be creative (Robinson, 2001) mathematics is so part of our everyday lives and encompasses so many elements. At a basic level we can describe mathematics as a language that expresses relationships. This includes Logic, Measurement, Algebra, Calculus and Geometry. (Booker G, 2010)This language allows us to understand our universe and to solve problems.
 * Referencing **
 * **In this assessment, you will use Measurement and Geometry to: **
 * ●● ** Analyse and interpret Measurement and Geometry
 * ●● **Apply logical reasoning, including the use of [|congruence] and [|similarity]
 * Show your working **
 * ●● ** Your teacher is looking for evidence of mathematical thinking and reasoning, not only correct answers.
 * ●● ** When using a calculator, show enough working so that your teacher can see the Method you used.
 * ●● ** If you cannot complete a question, show what you have been able to do.
 * ●● ** Credit will be given if an incorrect answer is used correctly in a later question
 * I want you to build me a kitchen **
 * 1) The kitchen can be any shape
 * 2) I want to use my old fridge the dimensions are
 * 1) A dishwasher ( standard size )
 * 2) A double sink
 * 3) A bench top big enough for 4 people to sit around
 * 4) And as much cupboard space as possible
 * 5) storage cupboard for dry food
 * 6) I want you to use both congruent and similar shapes in the design of the kitchen and the budget is $5000.
 * I want you to go into small groups of 3 or 4
 * Have graph paper, pencils, rulers
 * Together you will firstly research the sizes of a dishwasher, double sink, microwave, normal size door and sizing for windows are the shapes similar in shape with same angles or congruent in shape ?
 * Draw a plan on graph paper to show your thinking and creativity
 * Go to the above web site and start putting your kitchen together ( there is a $ 5000.00 limit, This site wii only allow you to print of your design the design is kept on thier data base )
 * = Answers =
 * = Answers =
 * 1) Measure the area
 * 2) Decide on design and colour
 * 3) Find measurements of fridge/freezer

My old fridge =Free Standing Side-by-Side fridge Width: 32 inches to 36.5 inches Height: 66 inches to 70 inches Depth without the door and handle: 28 inches to 29.5 inches 4.Sink= Gourmetier Stainless steel self-rimming double bowl kitchen sink K33226DBN * stainless steel construction * 33"x22"x6" * 4 holes * 12 inch center deck mount

5.Dishwasher = DIMENSIONS Total height (mm) 850 Total width (mm) 596 Total depth (mm) 620 Height adjustment (mm) 30 6.Breakfast table sitting for 4 7.Correct size hole for oven to fit in 600mm by 600mm oven ||  ||