|
Authors |
Advisors |
|
Steve Etienne, District School Board of Niagara, ON B.Sc, B.Admin., Ed.Cert. |
Trevor Alexander, Western School District, NL B.Sc, B.Ed, M.Ed., Dip.Comp.Tech. |
|
Emily Kalwarowsky, Northlands School Division, AB B.Sc., B.Ed |
Carol Jaap Klass, Retired Teacher, AB B.Ed. |
|
Carol Jaap Klass, Retired Teacher, AB B.Ed. |
Reviewers |
|
Melissa Marchesi, Edmonton Catholic School District, AB B.Ed. |
John French Math Teacher Western School District, NL |
|
Deborah Turner, Nova Central School District, NL B.Sc., B.Ed., M.Ed. |
Byron Hiscock Math Department Head Nova Central School District, NL |
|
Consultants |
Kelly House Math Department Head Eastern School District, NL |
|
Steve Etienne, District School Board of Niagara B.Sc, B.Admin., Ed.Cert. |
Joanne McNeil Math Teacher Eastern School District, NL |
|
Paul Thomas, Eastern School District, NL B.Sc., B.Ed., Dip.Ed.Tech |
Craig Penney Math Department Head Nova Central School District, NL |
|
Rick Wunderlich, School District 83 (North Okanagan/Shuswap), BC B.Ed. |
Tanya Warford Math Teacher Nova Central School District, NL |
|
Annette Windsor Math Department Head Eastern School District, NL |
Check out this link to learn about the pedagogical approach of the Math at Work 12 program. Get information on differentiating instruction, assessment, cooperative learning, and mental mathematics.
Check out this link to find out how Math at Work 12 is organized. Learn about fascinating features, such as Career Links and Tools of the Trade. Find out what kinds of jobs use math. The answer may surprise you.
Click here to access the curriculum correlation for Math at Work 12.
page 7
article about the probability of winning different contests and lotteries
CBC
• Information on what fishery officers do and how to become one
http://www.nfl.dfo-mpo.gc.ca/e0004498
learn about essential skills in various occupations
• Searchable database of over 350 profiles and descriptions of various occupations
http://www10.hrsdc.gc.ca/es/English/search_occupation_name.aspx
Red Seal Program
• Information on the Red Seal Program and a list of quick links to many trades
http://www.red-seal.ca/[email protected]?lang=eng
learn about probability in the context of rolling dice
Between Waters
• Applet for rolling dice and calculating probabilities
http://www.betweenwaters.com/probab/dice/dicemain3D.html
learn about warranties
Canadian Consumer Handbook
• General information on warranties
http://www.consumerhandbook.ca/en/topics/products-and-services/warranties
page 26
learn about probability
• Three probability simulators using two spinners and dice
http://www.shodor.org/interactivate/activities/ExpProbability/
• Four different probability simulators
http://www.mathsonline.co.uk/nonmembers/resource/prob/
a career as a recreational vehicle (RV) service technician
• Information about what RV service technicians do and the skills they require
http://www.red-seal.ca/[email protected]?tid=201
page 43
how to build a Plinko board
• Instructions for building a Plinko board
http://www.mathdemos.org/mathdemos/plinko/build_a_board.html
l earn about Plinko
• A video demonstration of a Plinko board
http://www.youtube.com/watch?v=r5ey5yuVzRU
learn about a career as a retail store manager
• D escription of a retail store manager’s roles and responsibilities
http://en.wikipedia.org/wiki/Store_manager
• Job description, salary expectations, and training required for a retail store manager
http://www.job-interview-site.com/retail-store-manager-career-retail-manager-salary.html
page 59
learn about the Commonwealth Games
• Information on the history of the games, past winners, and upcoming Commonwealth Games
http://www.thecgf.com/sports/medals_event.asp
page 66
learn how horticultural technicians use math
• I nformation on the duties of horticultural technicians and the required skills and education
http://tradeability.ca/DesktopDefault.aspx?TabId=3408&Lang=en
page 69
careers in the logging industry
• Information on nine different categories of occupations within the logging industry and descriptions of jobs within those categories
http://pacificforestfoundation.org/forestry-logging-careers/careers.html
• Current job listings for positions in the logging industry
http://www.canadian-forests.com/job.html
page 73
learn about Olympic weightlifting
• Information about the history of Olympic weightlifting, as well as techniques, training, rules, competitions, and more
http://www.chidlovski.net/liftup/default.asp
Chapter 3
page 87
information about a career as a truck driver
• Information on the 12 Week Tractor Trailer Internship program. Under Training, click
On 12 Week Tractor Trailer Internship Program.
Atlantic Provinces Trucking Association
• A list of training providers offering the 12 week truck driving program
http://www.apta.ca/careers_training.php
• Detailed information about the skills needed for a career as a truck driver
http://www.hrsdc.gc.ca/eng/workplaceskills/LES/tools_resources/NOC/truck_driver.shtml
page 89
game to review plotting ordered pairs
• An interactive soccer game in which players score on a goalie by correctly locating points (expressed as ordered pairs) on a coordinate grid
http://www.xpmath.com/forums/arcade.php?do=play&gameid=90
game to identify points on a coordinate grid
• An interactive game in which players identify the coordinates of a donut on a coordinate grid. Click Enter after you type the coordinates.
http://www.xpmath.com/forums/arcade.php?do=play&gameid=59
game to review the concept of slope
• An interactive game in which players identify the slope of a line connecting two points on a coordinate grid
http://www.slidermath.com/rpoly/Coord2.shtml
game involving number patterns
MathFrog
• An interactive game in which players identify continue number patterns. After you click Play Game, select Continue a Pattern.
http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/PatternMaster.shtml
game to practise solving linear equations
• A version of the classic Pong computer game in which players must solve a linear equation to continue playing
http://www.xpmath.com/forums/arcade.php?do=play&gameid=105
page 91
irrational numbers
• Learn about irrational numbers
http://www.mathsisfun.com/irrational-numbers.html
the golden ratio and irrational numbers
• Information on the golden ratio and irrational numbers, and an interactive application that measures the mathematical beauty of the face
http://www.intmath.com/numbers/math-of-beauty.php
page 93
learn about graphing linear trends
• Data links for linear functions, examples of graphed trends, and an interactive tool for graphing the data in different formats
http://www.statcan.gc.ca/edu/edu05_0018c-eng.htm#link01
page 94
the Canadian Physical Activity, Fitness, and Lifestyle Appraisal (CPAFLA)
• A description of the CPAFLA and the various assessments it includes
http://www.elmhealth.com/personaltrainingassessments.htm#CPAFLA
duties of personal fitness trainers
Wikimedia Foundation Inc.
• A description of what personal fitness trainers do
http://en.wikipedia.org/wiki/Personal_trainer
page 100
learn about algebraic expressions
• Virtual algebra tiles to be used instead of manipulatives
http://www.x-power.com/Flash/Tools/AlgebraTiles.html
learn about slope
• Download The Slope Game in which one player rearranges lines on the screen while the other player matches each line with its slope (using GSP 5).
page 102
learn about snow accumulation
• Hourly updates to the advanced weather data generated by a Dogtooth automatic weather station placed mid-mountain at Kicking Horse Pass
http://www.kickinghorseresort.com/mountain/information/advanced-weather-data.aspx
page 110
learn about the skills used by police officers
• A list of essential skills for police officers and links to a detailed description of each skill
http://www10.hrsdc.gc.ca/English/ShowProfile.aspx?v=376
page 113
learn about the skills used by refrigeration and air conditioning mechanics
• A list of essential skills for refrigeration and air conditioning mechanics and links to a detailed description of each skill
http://www10.hrsdc.gc.ca/ES/English/ShowProfile.aspx?v=217
page 122
review linear relationships
• P rovides Jeopardy-style questions that reinforce knowledge of direct variation, partial variation, slope, and linear relationships
historical temperature information
• provides historical weather information for most locations across Canada
http://www.climate.weatheroffice.gc.ca/advanceSearch/searchHistoricData_e.html
page 128
the mathematics behind Sudoku
• An article on the mathematics involved in Sudoku and similar games
http://media.pims.math.ca/pi_in_sky/pi10.pdf
Chapter 4
learn about developing a small business idea
• An article on how to “hatch your next business idea”
http://www.entrepreneur.com/article/223778
• Information about Canadian government services for entrepreneurs looking to develop a business idea
http://www.canadabusiness.ca/eng/page/2857
page 187
learn about a career as a commercial artist
• Information about becoming a commercial artist, including a job description, educational requirements, skills, and the career and economic outlook for the field
essential skills (including numeracy) required for most trades
• Searchable database containing the essential skills listings for over 350 occupations
http://www10.hrsdc.gc.ca/es/English/search_occupation_name.aspx
• Learn about polygon names and the prefixes that represent different numbers
http://www.math.com/tables/geometry/polygons.htm
page 193
learn about using a mitre box
• A 2.5 min video demonstrating how to use a mitre box
http://www.youtube.com/watch?v=hMpRSLpqkh4
page 198
learn about a career as a landscape designer
• information on landscape design
http://en.wikipedia.org/wiki/Landscape_designer
Government of Canada
• A list of the essentials skills for landscape and horticultural technicians and specialists
http://www10.hrsdc.gc.ca/ES/English/ShowProfileOccupation.aspx?v=361&ID=196584&v1=landscape
page 200
learn about being a carpenter
• Job description and salary expectations for a carpenter, as well as the skills and training required http://tradeability.ca/DesktopDefault.aspx?TabId=3355&Lang=en
page 203
learn to use landscape design software
• Landscape design software, an online tutorial, interviews with landscape designers, and professionally developed landscape designs
http://www.bbc.co.uk/gardening/design/
page 208
learn about images with lines of symmetry
• The results of a Google search offering hundreds of images with a line of symmetry
page 209 (Same links as used on TR page 200)
learn about being a carpenter
• Job description and salary expectations for a carpenter, as well as the skills and training required http://tradeability.ca/DesktopDefault.aspx?TabId=3355&Lang=en
page 210
learn about lines of symmetry in road signs
• The results of a Google search offering hundreds of images of road signs (some symmetrical and some asymmetrical) http://www.google.ca/search?hl=en&sugexp=eish&cp=17&gs_id=1e&xhr=t&q=images+of+road+signs&rlz=1R2ADSA_enCA396&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&biw=1920&bih=878&wrapid=tljp1337636209388030&um=1&ie=UTF-8&tbm=isch&source=og&sa=N&tab=wi&ei=drW6T8PXBcapiQLxwJyiCg Or
page 212
learn about the career of a fitness trainer
• Information on the career of a personal trainer
http://en.wikipedia.org/wiki/Personal_trainer
page 213
learn about Canadian flags
• Information and images of flags used in Canada. Scroll down to see flags of the provinces.
http://en.wikipedia.org/wiki/Flags_of_Canada
learn about being a welder
• Job description and salary expectations for a welder, as well as the skills and training required
http://tradeability.ca/DesktopDefault.aspx?TabId=3380&Lang=en
page 227
learn about a career as a brick and stone mason
• Job description and salary expectations for a brick and stone mason, as well as the skills and training required
http://www.tradeability.ca/DesktopDefault.aspx?TabId=3345&Lang=en
• A list of the essential skills for bricklayers and a description of each skill
http://www10.hrsdc.gc.ca/ES/English/ShowProfileOccupation.aspx?v=2&ID=197516&v1=stone
page 269
learn about a career in surveying
• Information about what surveyors do, required skills and education, and salary expectations
http://www.bls.gov/k12/math03.htm
Government of Canada
• List of the essential skills for land surveyors
http://www10.hrsdc.gc.ca/ES/English/ShowProfileOccupation.aspx?v=304&ID=197518&v1=surveyor&v2=&v3 =
page 271
learn about theolodites
Wikimedia Foundation Inc.
• Detailed information about theolodites
http://en.wikipedia.org/wiki/Theodolite
YouTube
• Vdeo demonstration of how to use a theolodite
http://www.youtube.com/watch?v=c9U0xlmCzGI
page 273
learn about surveyor tools
• Information on surveying, including a section on the new technology used by surveyors
http://en.wikipedia.org/wiki/Surveying
page 274
learn about how knowledge of triangles is essential in many trades
• A list of careers that use right angle trigonometry, as well as links to information about each career.
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=10
• A list of careers that use congruent triangles, as well as links to information about each career.
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=3
• A list of careers that use triangle inequalities, as well as links to information about each career.
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=4
• A list of careers that use the Pythagorean relationship, as well as links to information about each career.
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=9
learn about framing and woodworking tools
Demand Media Inc.
• Step by step instructions for making a wooden picture frame
http://www.ehow.com/how_4825775_wood-picture-frames.html
page 294
learn about geometric constructions
• A video that reviews basic geometric constructions
http://www.youtube.com/watch?v=UZjevRGLjTM
learn how to construct a triangle given measurements of the three sides
Maths is Fun
• An animated video showing how to construct a triangle given three sides
http://www.mathsisfun.com/geometry/construct-ruler-compass-1.html
learn how to construct a line perpendicular to a given line from an external point
• Video showing step-by-step instructions on how to construct a line perpendicular to a given line through a point not on the line
The following blackline masters provide warm-ups for each section of Math at Work 12. The warm-up for the first section of each chapter provides a review of pre-requisite skills. The warm-ups for the other sections reinforce the skills and processes handled in the chapter.
Answers are provided in the following files:
These masters are provided in Word so that you can adapt them to the needs of your particular students.Click on the following links to download different sizes of grid paper, protractor templates, and dot paper.
PDF files:
• Master 2 Centimetre Grid Paper
• Master 3 0.5 Centimetre Grid Paper
• Master 6 Isometric Dot Paper
Word files:
• Master 2 Centimetre Grid Paper
Use Master 1 Project Rubric to help you assess the chapter projects. This is a generic rubric. For specific information on how to use this rubric for a particular project, check the Chapter Project notes in that chapter of the Teacher's Resource. The last page of the notes provides specific level notes for that chapter's project.
Master 1 Project Rubric ( PDF ) ( Word )Page 12
Vernier calipers
• Step by step instructions on how to use Vernier calipers, including a 6 min demonstration video
http://www.wikihow.com/Use-a-Vernier-Caliper
Page 21
• Applet for rolling dice and calculating probabilities
http://www.betweenwaters.com/probab/dice/dicemain3D.html
Page 38
l earn how to install a lug nut on a wheel
Demand Media Inc.
• Step by step instructions for how to install a lug nut on a wheel
http://www.ehow.com/how_5032114_install-lug-nuts.html
Page 43
learn about the sleep habits of Canadian teens
• Information about children’s sleep requirements and the consequences of sleep deprivation
Page 48
learn how eggs get from farm to store
Egg Farmers of Alberta
• Information on egg production and collection
http://eggs.ab.ca/about-eggs/hen-to-home
l earn about 100 year floods
• Detailed information about recurrence intervals and 100-year floods
http://ga.water.usgs.gov/edu/100yearflood.html
Page 49
l earn about a career in meteorology
Canadian Meteorological and Oceanographic Society
• Information about educational requirements for a meteorologist, a job description, and a list of educational institutions offering the required courses
http://www.cmos.ca/carmet.html
Page 58
play a virtual game of Plinko and relate it to probability
• Answer the questions based on the Plinko score board.
http://www.xpmath.com/forums/arcade.php?do=play&gameid=98
learn how to make a Plinko board
• Follow the instructions to learn how to build a Plinko board.
http://www.mathdemos.org/mathdemos/plinko/build_a_board.html
Chapter 2 Student Book
Student Book (PDF)
growth charts and how they are used
• View documents describing the sample and methods used to construct the standards and growth charts produced by the World Health Organization. You can also access the actual charts.
http://www.who.int/childgrowth/standards/en/
learn more about growth charts
http://www.dietitians.ca/Secondary-Pages/Public/WHO-Growth-Charts.aspx
monthly total snowfalls for certain cities
• Information on the total snowfalls for specific cities. Use the menu choices on the left to search by month.
http://www.currentresults.com/Weather/Canada/Cities/snowfall-annual-average.php .
learn about Wayne Gretzky’s hockey career
• Statistics on Wayne Gretzky’s career, his biographical information, career highlights, and more
www.gretzky.com/hockey/career_stats.php
learn about percentile rank
Oswego City School District Regents Exam Prep Center
• A lesson on percentiles, including definitions and practice questions
http://regentsprep.org/REgents/math/ALGEBRA/AD6/quartiles.htm
minimum wage across Canada
• Information on minimum wage by province
http://srv116.services.gc.ca/dimt-wid/sm-mw/rpt3.aspx?lang=eng
careers in the logging industry
• Information on different categories of occupations within the logging industry and descriptions of jobs within each category
http://pacificforestfoundation.org/forestry-logging-careers/careers.html
learn about percentiles and wages
• An example of using percentiles to show a range of possible wages (using an automotive mechanic)
http://www.careeroverview.com/automotive-mechanic-salaries.html
learn about Body Mass Index (BMI)
• Information about BMI and BMI calculators
Chapter 3 Student Book
Student Book (PDF)
tools used by personal trainers
• Information about diagnostic tools for personal fitness trainers
http://www.ehow.com/list_6758267_tools-personal-fitness-trainer.html
minimum wage in Canadian provinces
• Information on minimum wage in each province
http://srv116.services.gc.ca/dimt-wid/sm-mw/rpt3.aspx?lang=eng
NHL players’ salaries
• A database of players’ salaries since 1989. Use the search function on the left to find the salary of a particular hockey player.
http://www.hockeyzoneplus.com/salaries/1363
learn about NHL players’ salaries
• A list of the top 20 salaries for NHL players since 1989 as well as the top five salaries for each hockey season since 1989
http://en.wikipedia.org/wiki/List_of_player_salaries_in_the_NHL
information about radar guns
• Information about various types of radar guns, their uses, and limitations
http://en.wikipedia.org/wiki/Radar_gun
tools used for furnace repair
• Information about various tools used in furnace repair, as well as a warning about the possible dangers of amateur furnace repair
http://www.ehow.com/about_4814218_furnace-repair-tools.html
information about snowmaking
• Information on how nature makes snow, how ski resorts make snow, and the factors that make it a very complex undertaking
Chapter 4 Student Book
Student Book (PDF)
automotive reliability ratings
• Reliability information for most makes of cars with reviews for as far back as 1997
http://autos.jdpower.com/ratings/index.htm
learn about automotive crash test ratings
• Database of crash test ratings for most makes of cars, searchable by make, model, and vehicle type
learn about fuel economy
• Information about automotive fuel consumption ratings for most known makes of vehicles
http://oee.nrcan.gc.ca/transportation/tools/fuelratings/ratings-search.cfm
• A list of automotive fuel consumption ratings for most known makes of vehicles
http://www.carpages.ca/blog/2012/01/11/2012-annual-fuel-economy-guide
instant online insurance quote
• Complete a two page online questionnaire to have an insurance quote issued.
Chapter 5 Student Book
Student Book (PDF)
learn about polygon names and the prefixes that represent different numbers
• Information on polygons, including types of polygons, formulas, parts, names, and special polygons
http://www.math.com/tables/geometry/polygons.htm
learn about the cells of honeycombs
• Learn why honeycombs are hexagonal
http://www.3838.co.jp/english/mitsubachi_park/frombeefarm/from05_rokkaku/index.html
learn about the career of beekeeping
• Detailed job description for a beekeeper
http://dot-job-descriptions.careerplanner.com/BEEKEEPER.cfm
learn about the career of a landscape designer
• Information on being a landscape designer
http://landscapedesignercareer.com/
learn how to make sure that a doorframe is square
• Step by step instructions on how to level and square a door frame
http://www.ehow.com/how_4392507_level-square-door-frame.html
• Step by step instructions on how to level a door frame
http://homeguides.sfgate.com/level-door-frame-28879.html
geodesic domes
http://en.wikipedia.org/wiki/Geodesic_dome
http://sci-toys.com/scitoys/scitoys/mathematics/dome/dome.html
relationship between side lengths and angles of triangles
• An interactive application for exploring the relationship between a triangle’s side lengths and its angles
http://www.mathopenref.com/trianglesideangle.html
wood inlay
• Instruction on how to do wood inlay
http://www.wikihow.com/Do-Wood-Inlay
• Instructions on how to do wood inlay
http://voices.yahoo.com/how-wood-inlays-yourself-4089517.html?cat=6
octagonal rings used in mixed martial arts
• Brief description of the octagonal ring used in the UFC
http://www.ufc.com/discover/sport/octagon
learn about a career in fitness training
• Information on being a fitness trainer, including duties, skills, and required experience
http://job-descriptions.careerplanner.com/Fitness-Trainers-and-Aerobics-Instructors.cfm
learn about the career of a sign builder
• Information on what sign builders do, necessary skills, and the required education and where to get it
Chapter 6 Student Book
Student Book (PDF)
Page 280
learn about 3-D drawing
• Practice designing a room with furniture in 2-D and 3-D.
using computer programs to create animations
• Instructions on how to create animations using Microsoft® PowerPoint
http://www.wikihow.com/Make-Animation-or-Movies-with-Microsoft-PowerPoint
tools used by surveyors
Bureau of Labour Statistics
• Information about surveyors
http://www.surveyhistory.org/the_surveyor's_basic_tools.htm
Wikimedia Foundation Inc.
• Information about theolodites
http://en.wikipedia.org/wiki/Theodolite
YouTube
• Video showing how to use a theodolite
http://www.youtube.com/watch?v=c9U0xlmCzGI
learn why knowledge of triangles is essential in many trades
• Each site lists careers that use knowledge of a particular triangle.
– Right triangle trigonometry
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=10
– Congruent triangles
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=3
– Triangles inequalities
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=4
– Pythagorean relationship
http://www.xpmath.com/careers/topicsresult.php?subjectID=3&topicID=9
learn about air traffic controllers
• Information on a career as an air traffic controller
http://www.go2hr.ca/CareersbrinTourism/JobDescriptions/AirTrafficController/tabid/1646/Default.aspx
Career Planner
• Information on a career as an air traffic controller
http://job-descriptions.careerplanner.com/Air-Traffic-Controllers-4.cfm
framing and woodworking tools
Demand Media Inc.
• Step by step instructions for making a wooden picture frame
http://www.ehow.com/how_4825775_wood-picture-frames.html
learn about hydraulic fracturing
• A list of the steps involved in hydraulic fracturing, as well as relevant links.
http://www.hydraulicfracturing.com/Process/Pages/information.aspx