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Master Grade 11 Foundations for College Mathematics

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Find the right Ontario Grade 11 course

Grade 11 Functions, University Preparation (MCR3U)

Grade 11 Functions and Applications, University/College Preparation (MCF3M)

Grade 11 Foundations for College Mathematics, College Preparation (MBF3C)

Grade 11 Mathematics for Work and Everyday Life, Workplace Preparation (MEL3E)

Ontario Grade 11 MBF3C Help: Master Concepts FastHelp

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OE_ID

Expectations

StudyPug Topic

ON.OE.11FC.A1.1

11FC.A1.1: Construct tables of values and graph quadratic relations arising from real-world applications

ON.OE.11FC.A1.2

11FC.A1.2: Determine and interpret meaningful values of the variables, given a graph of a quadratic relation arising from a real-world application

ON.OE.11FC.A1.3

11FC.A1.3: Determine, through investigation using technology, the roles of a, h, and k in quadratic relations of the form y = a(x ? h)? + k, and describe these roles in terms of transformations on the graph of y = x?

ON.OE.11FC.A1.5

11FC.A1.5: Expand and simplify quadratic expressions in one variable involving multiplying binomials or squaring a binomial, using a variety of tools

ON.OE.11FC.A1.6

11FC.A1.6: Express the equation of a quadratic relation in the standard form y = ax? + bx + c, given the vertex form y = a(x ? h)? + k, and verify, using graphing technology, that these forms are equivalent representations

ON.OE.11FC.A1.7

11FC.A1.7: Factor trinomials of the form ax? + bx + c, where a = 1 or where a is the common factor, by various methods

ON.OE.11FC.A1.8

11FC.A1.8: Determine, through investigation, and describe the connection between the factors of a quadratic expression and the x-intercepts of the graph of the corresponding quadratic relation

ON.OE.11FC.A1.9

11FC.A1.9: Solve problems, using an appropriate strategy, given equations of quadratic relations, including those that arise from real-world applications

ON.OE.11FC.A2.1

11FC.A2.1: Determine, through investigation using a variety of tools and strategies, and describe the meaning of negative exponents and of zero as an exponent

ON.OE.11FC.A2.2

11FC.A2.2: Evaluate, with and without technology, numeric expressions containing integer exponents and rational bases

ON.OE.11FC.A2.3

11FC.A2.3: Determine, through investigation, the exponent rules for multiplying and dividing numerical expressions involving exponents, and the exponent rule for simplifying numerical expressions involving a power of a power

ON.OE.11FC.A2.4

11FC.A2.4: Graph simple exponential relations, using paper and pencil, given their equations

ON.OE.11FC.A2.5

11FC.A2.5: Make and describe connections between representations of an exponential relation

ON.OE.11FC.A3.1

11FC.A3.1: Collect data that can be modelled as an exponential relation, through investigation with and without technology, from primary sources, using a variety of tools, or from secondary sources, and graph the data

ON.OE.11FC.A3.2

11FC.A3.2: Describe some characteristics of exponential relations arising from real-world applications by using tables of values and graphs

ON.OE.11FC.A3.3

11FC.A3.3: Pose problems involving exponential relations arising from a variety of real-world applications, and solve these and other such problems by using a given graph or a graph generated with technology from a given table of values or a given equation

ON.OE.11FC.A3.4

11FC.A3.4: Solve problems using given equations of exponential relations arising from a variety of real-world applications by substituting values for the exponent into the equations

ON.OE.11FC.B1.3

11FC.B1.3: Solve problems, using a scientific calculator, that involve the calculation of the amount, A (also referred to as future value, FV), and the principal, P (also referred to as present value, PV), using the compound interest formula in the form A = P(1 + i)? [or FV = PV(1 + i)?

ON.OE.11FC.B1.4

11FC.B1.4: Calculate the total interest earned on an investment or paid on a loan by determining the difference between the amount and the principal

ON.OE.11FC.C1.1

11FC.C1.1: Recognize and describe real-world applications of geometric shapes and figures, through investigation in a variety of contexts, and explain these applications

ON.OE.11FC.C1.3

11FC.C1.3: Create nets, plans, and patterns from physical models arising from a variety of real-world applications, by applying the metric and imperial systems and using design or drawing software

ON.OE.11FC.C2.1

11FC.C2.1: Solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratios

ON.OE.11FC.C2.2

11FC.C2.2: Verify, through investigation using technology, the sine law and the cosine law

ON.OE.11FC.C2.3

11FC.C2.3: Describe conditions that guide when it is appropriate to use the sine law or the cosine law, and use these laws to calculate sides and angles in acute triangles

ON.OE.11FC.C2.4

11FC.C2.4: Solve problems that arise from real-world applications involving metric and imperial measurements and that require the use of the sine law or the cosine law in acute triangles

ON.OE.11FC.D1.1

11FC.D1.1: Identify situations involving one-variable data, and design questionnaires or experiments for gathering one-variable data, giving consideration to ethics, privacy, the need for honest responses, and possible sources of bias

ON.OE.11FC.D1.2

11FC.D1.2: Collect one-variable data from secondary sources, and organize and store the data using a variety of tools

ON.OE.11FC.D1.3

11FC.D1.3: Explain the distinction between the terms population and sample, describe the characteristics of a good sample, and explain why sampling is necessary

ON.OE.11FC.D1.5

11FC.D1.5: Identify different types of one-variable data, and represent the data, with and without technology, in appropriate graphical forms

ON.OE.11FC.D1.6

11FC.D1.6: Identify and describe properties associated with common distributions of data

ON.OE.11FC.D1.7

11FC.D1.7: Calculate, using formulas and/or technology, and interpret measures of central tendency and measures of spread

ON.OE.11FC.D2.2

11FC.D2.2: Determine the theoretical probability of an event, and represent the probability in a variety of ways

ON.OE.11FC.D2.3

11FC.D2.3: Perform a probability experiment, represent the results using a frequency distribution, and use the distribution to determine the experimental probability of an event

ON.OE.11FC.D2.4

11FC.D2.4: Compare, through investigation, the theoretical probability of an event with the experimental probability, and explain why they might differ

ON.OE.11FC.D2.5

11FC.D2.5: Determine, through investigation using class-generated data and technology-based simulation models, the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases

ON.OE.11FC.D2.6

11FC.D2.6: Interpret information involving the use of probability and statistics in the media, and make connections between probability and statistics
Complete Ontario Grade 11 Foundations for College Mathematics (MBF3C) Coverage

MBF3C Lessons

83

Video Explanations

461

Practice Problems

901

Ontario Standards

100% Aligned

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Everything you need to know about mastering Grade 11 Foundations for College Mathematics with StudyPug

What does MBF3C coverage include?

Complete MBF3C curriculum with video lessons on quadratics, exponentials, financial math, geometry, and statistics. Includes practice problems, step-by-step solutions, and progress tracking for every topic.

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