Tutor Doctor® Vaughan | Grade 11 Math Tutoring

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Grade 11 Math Tutor

Grade 11 Math Tutoring

Eleventh grade math is a crucial year for students who intend applying for college or furthering their studies. A good math grade really improves your chances of getting into the best schools. If your student is struggling with this advanced math, then consider in-home tutoring now, rather than leaving it just before the SAT or ACT crunch.

Our one-on-one tutors work with the local curriculum. In the eleventh grade, students must master not only important mathematical concepts, but also the following academic skills:

  • Problem solving.
  • Reasoning skills to make mathematical conjectures, assess conjectures, and justify conclusions, and plan and construct organized mathematical arguments.
  • Reflecting and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem.
  • Selecting tools and computational strategies to investigate mathematical ideas and to solve problems.
  • Connecting: make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts.
  • Representing: create a variety of representations of mathematical ideas, connect and compare them, and select and apply the appropriate representations to solve problems.
  • Communicate mathematical thinking orally, visually, and in writing, using mathematical vocabulary and a variety of appropriate representations, and observing mathematical conventions.

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Grade 11 Math Sample Curriculum

Characteristics of Functions


  • Demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations
  • Determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real-world applications;
  • Demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions

Exponential Functions


  • Evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways
  • Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications
  • Simplify and evaluate numerical expressions involving exponents, and make connections between the numeric, graphical, and algebraic representations of exponential functions
  • Demonstrate an understanding of compound interest and annuities, and solve related problems

Discrete Functions


  • Demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal’s triangle
  • Demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems
  • Make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities

Trigonometric Functions


  • Determine the values of the trigonometric ratios for angles less than 360º; prove simple trigonometric identities; and solve problems using the primary trigonometric ratios, the sine law, and the cosine law
  • Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions
  • Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications

Quadratic Functions


  • Expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding graph
  • Demonstrate an understanding of functions, and make connections between the numeric, graphical, and algebraic representations of quadratic functions
  • Solve problems involving quadratic functions, including problems arising from real-world applications

Mathematical Models


  • Make connections between the numeric, graphical, and algebraic representations of quadratic relations, and use the connections to solve problems
  • Demonstrate an understanding of exponents, and make connections between the numeric, graphical, and algebraic representations of exponential relations
  • Describe and represent exponential relations, and solve problems involving exponential relations arising from real-world applications

Personal Finance


  • Compare simple and compound interest, relate compound interest to exponential growth, and solve problems involving compound interest
  • Compare services available from financial institutions, and solve problems involving the cost of making purchases on credit
  • Interpret information about owning and operating a vehicle, and solve problems involving the associated costs

Data Management


  • Solve problems involving one-variable data by collecting, organizing, analysing, and evaluating data
  • Determine and represent probability, and identify and interpret its applications.

Earning and Purchasing


  • Interpret information about different types of remuneration, and solve problems and make decisions involving different remuneration methods
  • Demonstrate an understanding of payroll deductions and their impact on purchasing power
  • Demonstrate an understanding of the factors and methods involved in making and justifying informed purchasing decisions

Saving, Investing and Borrowing


  • Describe and compare services available from financial institutions
  • Demonstrate an understanding of simple and compound interest, and solve problems involving related applications
  • Interpret information about different ways of borrowing and their associated costs, and make and justify informed borrowing decisions

Transportation and Travel


  • Interpret information about owning and operating a vehicle, and solve problems involving the associated costs
  • Plan and justify a route for a trip by automobile, and solve problems involving the associated costs
  • Interpret information about different modes of transportation, and solve related problems
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