OntarioGrade 11 Math Courses - Ontario Curriculum
Explore Ontario's Grade 11 Foundations for College Mathematics (MBF3C) courses featuring quadratic relations, exponential functions, and practical financial literacy applications.
Ontario Grade 11 Math Curriculum - MBF3C Course GuideHelp
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 |