OntarioGrade 11
ON Grade 11 Foundations for College Math (MBF3C)
Video lessons and practice for every MBF3C topic. Aligned to what Ontario Grade 11 Foundations for College Mathematics schools teach. Get help with homework anytime.
ON Grade 11 Foundations for College Math | StudyPugHelp
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 |
Grade 11 Foundations for College Mathematics (MBF3C) in Ontario
Ontario's MBF3C course is designed for students heading into college programs that require a solid foundation in applied mathematics. The course spans five major strands: quadratic relations, exponential relations, personal finance, geometry and trigonometry, and one-variable statistics and probability.
Quadratic Relations
Students learn to construct tables of values and graph quadratic relations from real-world contexts. They explore the vertex form y = a(x – h)² + k, investigate the roles of a, h, and k as transformations, and convert between vertex form and standard form y = ax² + bx + c. Factoring trinomials and connecting factors to x-intercepts are key skills in this strand.
Exponential Relations
Grade 11 MBF3C students investigate negative and zero exponents, apply exponent rules for multiplication, division, and powers of powers, and graph exponential relations. They compare exponential, linear, and quadratic relations and explore real-world exponential growth and decay situations.
Personal Finance
This strand covers compound interest, the compound interest formula A = P(1 + i)ⁿ, and using technology to compare simple and compound interest. Students also explore savings alternatives, investment options, credit cards, and the real costs of buying or leasing a vehicle.
Geometry and Trigonometry
Students apply the primary trigonometric ratios to right triangles and investigate the sine law and cosine law for acute triangles. They also work with nets, plans, and 3D representations, and solve design problems using metric and imperial measurements.
One-Variable Statistics and Probability
MBF3C students design data collection methods, distinguish between populations and samples, and represent one-variable data in appropriate graphical forms. They calculate and interpret measures of central tendency and spread, compare data sets, and connect experimental probability to theoretical probability through investigation.
How StudyPug Helps MBF3C Students
- Video lessons covering every expectation in the Ontario MBF3C course
- Practice problems with worked solutions for quadratic, exponential, and financial math
- Step-by-step trigonometry examples for sine law, cosine law, and right triangles
- Statistics and probability lessons aligned to the Ontario curriculum
- Available on any device so students can study at home or on the go