ࡱ>  }ybjbj ||w6 6 8`w$<   `* vvvvvvv$yd|@vQ>>"v  4Hw ^  v v NRW t3CT0v^w0wT||`WW&|W vv w|6 V: Task-based Activity Cover Sheet Task Title: Calculate the area of a room that includes a bay window Learner Name: Date Started: Date Completed: Successful Completion: Yes___ No___Goal Path: Employment ( Apprenticeship ( Secondary School Post Secondary Independence (Task Description: Learner will calculate the area of a room that includes a bay window.Competency: C: Understand and Use NumbersTask Group(s): C3: Use MeasuresLevel Indicators: C3.3: Use measures to make multistep calculations; use specialized measuring toolsPerformance Descriptors: see chart  HYPERLINK \l "Performance" or click here Skill Building Activities: see last page  HYPERLINK \l "skill" or click hereMaterials Required: Paper and pen Ruler Calculator The learner will need to know what a polygon isESKARGO: Calculates using numbers expressed as whole numbers, fractions, decimals, percentages, and integers Understands and uses formulas for finding the perimeter, area, and volume of nonrectangular, composite shapes Chooses and performs required operations; makes inferences to identify required operations Understands and uses properties of angles and triangles to solve problems Attitudes: Practitioner, We encourage you to talk with the learner about attitudes required to complete this task set. The context of the task has to be considered when identifying attitudes. With your learner, please check one of the following: % Attitude is not important % Attitude is somewhat important % Attitude is very important Task Title: Calculate the area of a room that includes a bay window An important part of the job of a skilled construction tradesperson involves making calculations based on instructions such as blueprints. Before laying the floor covering, a contractor must calculate the area of the floor to know how much carpet or tile must be ordered. In complex floors, contractors will split the floor into smaller polygons to make the calculations simpler. Look at the Diagram of the Living Room. Learner Information and Tasks: Task 1: Divide the complex polygon into known polygons Task 2: Calculate the unknown lengths and label them on your diagram. If necessary, round calculations to 2 decimal places. Task 3: Calculate the area of the living room floor. Diagram of the Living Room  Task Title: Calculate the area of a room that includes a bay window Answer Key Task 1: See completed diagram. Note: Student may have a different way of labelling the diagram. As long as it looks completely labeled accept answers provided.  Task 2: The following calculations are for the various lengths labelled on the answer diagram length a: 730 (175+175) = 780-350 = 380 cm length c: 500- 320 = 180 cm length d: needs to be calculated with the Pythagorean Theorem. Round to 2 decimal places. Let c=200cm c2 = a2 + d2 Let a=180 cm (200)2 = (180)2 + d2 Let d=unknown side d 40 000 = 32400 + d2 7600 = d2 d = " 7600 = 87.18 cm length b: (requires the calculation of length d first) length b: 730  (175 + 175 + 87.18 + 87.18 (length d)) = 730  524.36 = 205.64 cm Task 3: The following calculations are for the various areas labelled on the diagram Area A = length x width = 730 cm x 320 cm = 233 600 cm2 Area B = length x width = 205.64 cm x 180 cm = 37 015.2 cm2 Area C = (base x height) = (87.18 cm x 180 cm) = 7 846.2 cm2 Area D = (base x height) = (87.18 cm x 180 cm) = 7 846.2 cm2 Note: Area C and D are the same. Student could do the calculation once and multiply it by 2 or calculate the area as a rectangle for C and D. All are acceptable methods of finding the area for these figures. Area of Floor: Area A + Area B + Area C + Area D = 233 600 cm2 + 37 015.2 cm2 + 7 846.2 cm2 + 7 846.2 cm2 Area of Floor: 286 307.6 cm2 Task Title: Calculate the area of a room that includes a bay window Performance DescriptorsNeeds WorkCompletes task with support from practitionerCompletes task independentlyC3.3calculates using numbers expressed as whole numbers, fractions, decimals, percentages and integersunderstands and uses properties of angles and triangles to solve problemsunderstands and uses formulas for finding the perimeter, area and volume of non-rectangular, composite shapesmanages unfamiliar elements (e.g. context, content) to complete taskschooses and performs required operations; makes inferences to identify required operationsinterprets, represents and converts measures using whole numbers, decimals, percentages, ratios and fractions This task: was successfully completed___ needs to be tried again___ Learner Comments ____________________________ _________________________ Instructor (print) Learner Signature Skills Building Activities Links to Online Resources:  HYPERLINK "http://www.gcflearnfree.org/featured/decimals" http://www.gcflearnfree.org/featured/decimals Basic math tutorial offers simple and easy techniques for working with and converting decimals and percents.  HYPERLINK "https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property" https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property  HYPERLINK "https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/introduction-to-area-and-unit-squares" https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/introduction-to-area-and-unit-squares  HYPERLINK "https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/calculating-the-square-footage-of-a-house" https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/calculating-the-square-footage-of-a-house  HYPERLINK "https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem" https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem  HYPERLINK "https://www.mathtv.com/" https://www.mathtv.com/ Geometry- Area, Pythagorean Theorem LearningHUB online courses available: Math, Independent Study (Assigned by practitioner after assessment) Multiplication & Division Assignment Fractions Asg. #1 & 2 Decimals Assignment Measurement Assignment Geometry Plane Figures Asg. #1 Live Classes (SABA) Fractions A, B & C, Decimals A & B, Geometry B Part 1, GED Math Word Problems. *To access LearningHUB courses, learners must register for the LearningHUB e-Channel program by completing the registration form on their website and completing the course selection (page 2 of the registration form):  HYPERLINK "https://www.learninghub.ca/get_registered.aspx" https://www.learninghub.ca/get_registered.aspx * +,cdst   󷬷󷠔riri`Xhl/CJaJh a>*CJaJhO5CJaJ jh ahO5CJaJha,ha,CJaJhOCJaJha,ha,5CJaJha,h8G5CJaJha,hYCJaJha,hIV'CJaJhl)+hIV'CJaJhOhOCJaJhl)+5CJaJhM;5CJaJhVA5CJaJha,hIV'5CJaJ" drstsqkd$$Ifl** t0*644 lalp yta, $Ifgda,$a$gda,$a$gdl/' xx$Ifgd aqkd$$Ifl** t0*644 lalp yta,     $ % & ' ( :  1 2 3 K L V W t ;͉͜wlaUMh~vCJaJjh~vCJUaJha,ha,CJaJhzxnh,5 CJaJh;H5CJaJhO5CJaJhOh,5 CJaJh)mCJaJha,hIV'5CJaJha,hIV'CJaJh)mh8GCJaJ jh ahO5CJaJhOCJaJha,hYCJaJh a>*CJaJha,ha,5CJaJha,h)mCJaJ' ( : $Ifgda,qkd$$Ifl** t0*644 lalp yta, xx $IfgdO $Ifgda,qkd$$Ifl** t0*644 lalp yta, 2 vk` $Ifgdzxn $Ifgda,kd0$$Ifl0E*E^ t0*644 lalpyta,2 3 xx$Ifgd~vqkd$$Ifl** t0*644 lalp yta,t u v    䰡䖋wkcZwOCh #h2C5CJaJh #hzxnCJaJh05CJaJh0CJaJh0hzxn5CJaJhzxnCJaJha,hIV'5CJaJha,h~vCJaJh~vh~vCJaJjeh~vCJUaJh~vCJaJh~v5CJaJha,hIV'CJaJha,ha,CJaJh~vh~v0JCJaJjh~vCJUaJj`h~vCJUaJ xx$Ifgd~vqkd$$Ifl** t0*644 lalp yta,   > sscc & F$Ifgd #m$ & F$Ifgdzxnm$ $Ifgda,qkd$$Ifl** t0*644 lalp yta, = > ? 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