PPT-Geometry Chapter 11 Measuring Length and Area

This Slideshow was developed to accompany the textbook Larson Geometry By Larson R Boswell L Kanold T D amp Stiff L 2011 Holt McDougal Some examples and diagrams are taken from the textbook. You will need a centimetre ruler 1 Use your hands and fingers to estimate the length of each object Write your estimates Then use your ruler to measure Write the measurements a Estimate Measurement b Estimate Measurement c the width of this page Est You will need a metric ruler 1 Many measurements begin with estimates People often use reference lengths to help them estimate Find something around your home that is about 1 dm long or wide or tall Complete this statement is about 1 dm 2 Use your Cartesian, Parametric, and Polar. Arc Length. x. k-1. x. k. Green line = . If we do this over and over from every . x. k—1 . to any . x. k. , we get . Arc Length. If we make . x. infinitely small, we have the Riemann Sum. The Cost of Living. We need all sorts of things to live. These things are typically not free. So, what’s the cost of living the way we actually live? That is, what’s the cost of buying the things we buy?. St Paul’s Geometry Masterclass II. Who are we?. Mairi Walker. Final year maths PhD student at The Open University. Studying links between geometry and numbers. A. lso interested in the history of maths. Converting units of measurement . LENGTH. Length. Length measures the distance between two points. . Formal units for measuring length. m. m = millimetres. m = metres. cm = centimetres. km = kilometres. Changing Dimensions. 8. th. Grade:. 8.4.10A. Describe . the resulting effects on perimeter and area when dimensions of a shape are changed proportionally. .. . 8.4.10B. . Describe the resulting effects on volume when dimensions of a solid figure are changed proportionally.. All measurements cannot be 100% accurate!!. But accuracy is important in Science.. How can we increase accuracy?. Using suitable tools and equipment. . Using the correct techniques. . Taking several readings. The average of the readings is determined and taken as the measurement.. Measure and record:. length. mass. time. volume. temperature. Use SI units to measure and record these quantities. Solve problems about these quantities. Measurement - Length. Length is the distance between two points.. Gadus. . morhua. ) off the West Coast of Scotland. Joanne Clarke. 1*. , . David . M Bailey. 1. , Peter J Wright. 2. © Gilbert Van . Ryckevorsel. / WWF-Canada. 1. University of Glasgow; . 2. Marine Scotland Science . . centimeter . using a Ruler. I . can. measure in . centimeters. .. Measurement Rule #1. Always start measuring at ZERO!!!. RULER REVIEW. I . can. measure in millimeters and centimeters.. 4-2. . Arc length. Arc Length. Using . P. ythagorean theorem. Arc length. 1) Find the integral for the length of the curve over [0, 2]. . . Find the length of the curve . . from x = 0 to x = 4. Year 9: Geometry Problems and Proof www.drfrostmaths.com Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 18 th January 2016 Geometry Problems: Section 1 – Lengths of Lines Dr J Frost (jfrost@tiffin.kingston.sch.uk) Metres. and . Centimetres. | Lesson 1 of 1. Mathematics. Measurement and Geometry. . . Success Criteria. Aim. To measure length and height using standard units. . I can measure lengths and heights. .