Mathematics

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considered to be essential to a balanced mathematics program. The seven mathematicalprocesses identified in this curriculum are problem solving, reasoning and proving, reflecting,selecting tools and computational strategies, connecting, representing, and communicating.Each of the senior mathematics courses includes a set of expectations – referred to in thisdocument as the “mathematical process expectations” – that outline the knowledge andskills involved in these essential processes. The mathematical processes apply to studentlearning in all areas of a mathematics course.A balanced mathematics program at the secondary level also includes the development ofalgebraic skills. This curriculum has been designed to equip students with the algebraicskills needed to solve meaningful problems, to understand the mathematical conceptsthey are learning, and to successfully continue their study of mathematics in the future.The algebraic skills required in each course have been carefully chosen to support thetopics included in the course. Calculators and other appropriate technologies will be usedwhen the primary purpose of a given activity is the development of concepts or the solvingof problems, or when situations arise in which computation or symbolic manipulationis of secondary importance.THE ONTARIO CURRICULUM, GRADES 11 AND 12 | MathematicsCourses in Grade 11 and Grade 12Four types of courses are offered in the senior mathematics program: university preparation,university/college preparation, college preparation, and workplace preparation. Studentschoose course types on the basis of their interests, achievement, and postsecondary goals.The course types are defined as follows:University preparation courses are designed to equip students with the knowledge andskills they need to meet the entrance requirements for university programs.University/college preparation courses are designed to equip students with the knowledgeand skills they need to meet the entrance requirements for specific programs offered atuniversities and colleges.College preparation courses are designed to equip students with the knowledge andskills they need to meet the requirements for entrance to most college programs or foradmission to specific apprenticeship or other training programs.Workplace preparation courses are designed to equip students with the knowledge andskills they need to meet the expectations of employers, if they plan to enter the workplacedirectly after graduation, or the requirements for admission to many apprenticeship orother training programs.8
Courses in Mathematics, Grades 11 and 12Grade Course Name Course Type Course Code Prerequisite11 Functions University MCR3U Grade 10 Principles of Mathematics, Academic11 Functions andApplicationsUniversity/CollegeMCF3MGrade 10 Principles of Mathematics, Academic,or Grade 10 Foundations of Mathematics, Applied11 Foundationsfor CollegeMathematics11 Mathematicsfor Work andEveryday Life12 AdvancedFunctions12 Calculusand Vectors12 Mathematicsof DataManagement12 Mathematicsfor CollegeTechnology12 Foundationsfor CollegeMathematics12 Mathematicsfor Work andEveryday LifeCollege MBF3C Grade 10 Foundations of Mathematics, AppliedMathematicsWorkplace MEL3E Grade 9 Principles of Mathematics, Academic, orGrade 9 Foundations of Mathematics, Applied, ora Grade 10 Mathematics LDCC (locally developedcompulsory credit) courseUniversity MHF4U Grade 11 Functions, UniversityUniversity MCV4U Grade 12 Advanced Functions, University, must betaken prior to or concurrently with Calculus andVectors.University MDM4U Grade 11 Functions, University, or Grade 11Functions and Applications, University/CollegeCollege MCT4C Grade 11 Functions and Applications,University/College, or Grade 11 Functions,UniversityCollege MAP4C Grade 11 Foundations for CollegeMathematics, College, or Grade 11 Functionsand Applications, University/CollegeWorkplace MEL4E Grade 11 Mathematics for Work and EverydayLife, WorkplaceNote: Each of the courses listed above is worth one credit.THE PROGRAM IN MATHEMATICS9
Page 3 and 4: CONTENTSINTRODUCTION 3Secondary Sch
Page 5 and 6: INTRODUCTIONThis document replaces
Page 7 and 8: and art. It is important that these
Page 9: THE PROGRAM INMATHEMATICSOVERVIEW O
Page 13 and 14: Half-Credit CoursesThe courses outl
Page 15 and 16: The Grade 11 university preparation
Page 17 and 18: Grade 11FOUNDATIONS FORCOLLEGEMATHE
Page 19 and 20: THE MATHEMATICALPROCESSESPresented
Page 21 and 22: REASONING AND PROVINGReasoning help
Page 23 and 24: Mental computation involves calcula
Page 25 and 26: ASSESSMENTAND EVALUATIONOF STUDENTA
Page 27 and 28: THE ACHIEVEMENT CHART FOR MATHEMATI
Page 29 and 30: course and reflects the correspondi
Page 31 and 32: Categories 50−59%(Level 1)60−69
Page 33 and 34: The approaches and strategies used
Page 35 and 36: If the student requires either acco
Page 37 and 38: use of a variety of instructional s
Page 39 and 40: THE ROLE OF INFORMATION AND COMMUNI
Page 41: they need to be aware of harassment
Page 45 and 46: Functions, Grade 11University Prepa
Page 47 and 48: A. CHARACTERISTICS OF FUNCTIONSOVER
Page 49 and 50: 2.5 solve problems involving the in
Page 51 and 52: 2.2 determine, through investigatio
Page 53 and 54: 2. Investigating Arithmetic andGeom
Page 55 and 56: D. TRIGONOMETRIC FUNCTIONSOVERALL E
Page 57: Sample problem: The relationship be
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MATHEMATICAL PROCESS EXPECTATIONSTh
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Grade 11, University/College Prepar
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THE ONTARIO CURRICULUM, GRADES 11 A
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2. Comparing Financial Services 3.
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Grade 11, Grade University/College
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Mathematics for Work andEveryday Li
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A. EARNING AND PURCHASINGOVERALL EX
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B. SAVING, INVESTING, ANDBORROWINGO
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C. TRANSPORTATION AND TRAVELOVERALL
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Advanced Functions,Grade 12Universi
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A. EXPONENTIAL AND LOGARITHMICFUNCT
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B. TRIGONOMETRIC FUNCTIONSOVERALL E
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C. POLYNOMIAL AND RATIONALFUNCTIONS
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Sample problem: Investigate, using
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D. CHARACTERISTICS OF FUNCTIONSGrad
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2.3 determine, through investigatio
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Calculus and Vectors,Grade 12Univer
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A. RATE OF CHANGEOVERALL EXPECTATIO
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B. DERIVATIVES AND THEIRAPPLICATION
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joules the bird gets if it spends t
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2.3 solve problems involving the ad
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Mathematics of DataManagement, Grad
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A. COUNTING AND PROBABILITYOVERALL
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B. PROBABILITY DISTRIBUTIONSOVERALL
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2.7 make connections, through inves
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2.3 describe how the use of random
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as a measure of the fit of the data
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Mathematics for CollegeTechnology,
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A. EXPONENTIAL FUNCTIONSOVERALL EXP
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B. POLYNOMIAL FUNCTIONSOVERALL EXPE
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3.6 determine the value of a variab
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2.2 sketch the graphs of f(x) = sin
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D. APPLICATIONS OF GEOMETRYOVERALL
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Foundations for CollegeMathematics,
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A. MATHEMATICAL MODELSOVERALL EXPEC
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Years after 1955 Population of Gees
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payable monthly. Use a given amorti
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etween the two variables (i.e., by
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Grade 12, Workplace Preparationmont
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The Ministry of Education wishes to
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Mathematics

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