Ontario Grade 11 Foundations for College Math (MBF3C) curriculum and lessons

The course map includes Mathematical Models, Personal Finance, Geometry and Trigonometry, and 1 other section. Follow the complete section list above for the full study path.

درس مبانی ریاضی کالج پایه یازدهم انتاریو (MBF3C) چه مباحثی دارد؟ از جمله مباحث این درس مدل‌های ریاضی، امور مالی شخصی، هندسه و مثلثات است. فهرست کامل بخش‌ها در بالای صفحه قرار دارد.

57 of 57 written lessons are currently published and free to read. Open a linked lesson in the section map above. Check the official Ontario curriculum for exact requirements.

درس‌ها و برنامهٔ درسی مبانی ریاضی کالج پایه یازدهم انتاریو را از کجا پیدا کنم؟ اکنون 57 درس از 57 درس نوشتاری منتشر شده و خواندن آن‌ها رایگان است. درس‌های دارای پیوند را در نقشهٔ بخش‌های بالا باز کنید. برای شرایط دقیق به برنامهٔ درسی رسمی انتاریو مراجعه کنید.

A table and a graph can show how two quantities change together. For example, a table can show the height of a moving object at…

Suppose two accounts start with the same amount and earn interest at the same annual rate. One account adds interest only to the…

Geometric shapes are not limited to diagrams in a math book. They appear in signs, packages, buildings, furniture, and patterns. In…

A school wants to learn about students’ daily travel time, or a community group wants to compare how long two routes take to walk. In…

A curved graph can represent a real situation, such as the height of a ball over time or the profit from selling an item. Reading the…

Suppose you deposit money in an account that earns interest. If the interest is added to the account, the next interest calculation…

A storage box can be described with words, shown as a sketch, drawn as separate views, or opened out as a flat pattern. Each…

Data are recorded information. In this lesson, you will work with one variable: one feature measured or counted for each person…

Quadratic and exponential relations in practical models.

• A1.1 · Build tables and graphs for applied quadratic relations (published written lesson)
• A1.2 · Interpret meaningful values on applied quadratic graphs (published written lesson)
• A1.3 · Investigate transformations of quadratic vertex form (published written lesson)
• A1.4 · Sketch quadratic relations in vertex form (published written lesson)
• A1.5 · Expand and simplify quadratic expressions (published written lesson)
• A1.6 · Convert vertex form to standard form and verify equivalence (published written lesson)
• A1.7 · Factor simple trinomials and common-factor quadratics (published written lesson)
• A1.8 · Connect quadratic factors with x-intercepts (published written lesson)
• A1.9 · Solve applied quadratic problems by factoring or graphing (published written lesson)
• A2.1 · Explain zero and negative exponents (published written lesson)
• A2.2 · Evaluate numerical expressions with integer exponents (published written lesson)
• A2.3 · Develop exponent rules for products, quotients, and powers (published written lesson)
• A2.4 · Graph simple exponential relations (published written lesson)
• A2.5 · Connect tables, graphs, and equations of exponential relations (published written lesson)
• A2.6 · Distinguish exponential, linear, and quadratic relations (published written lesson)
• A3.1 · Collect and graph data modelled exponentially (published written lesson)
• A3.2 · Describe characteristics of applied exponential relations (published written lesson)
• A3.3 · Pose and solve exponential problems using graphs (published written lesson)
• A3.4 · Solve applied exponential equations by substitution (published written lesson)

Compound interest, financial services, credit, and vehicle costs.

• B1.1 · Compare simple and compound interest using tables and graphs (published written lesson)
• B1.2 · Connect compound interest with exponential growth (published written lesson)
• B1.3 · Calculate amount and principal in compound-interest problems (published written lesson)
• B1.4 · Calculate total interest earned or paid (published written lesson)
• B1.5 · Use technology to find interest rates or compounding periods (published written lesson)
• B1.6 · Investigate how time, rate, and compounding affect future value (published written lesson)
• B2.1 · Compare savings alternatives, services, and fees (published written lesson)
• B2.2 · Compare investment risk and return (published written lesson)
• B2.3 · Compare credit-card and debit-card costs and incentives (published written lesson)
• B2.4 · Investigate the effect of delayed credit-card payments (published written lesson)
• B2.5 · Calculate the compound-interest cost of credit purchases (published written lesson)
• B3.1 · Compare vehicle insurance procedures, factors, and costs (published written lesson)
• B3.2 · Compare buying new, leasing, and buying used vehicles (published written lesson)
• B3.3 · Solve fixed and variable vehicle-cost problems (published written lesson)

Design representations and acute-triangle applications.

• C1.1 · Recognize geometric shapes in practical design (published written lesson)
• C1.2 · Represent three-dimensional objects in multiple ways (published written lesson)
• C1.3 · Create nets, plans, and patterns with metric and imperial units (published written lesson)
• C1.4 · Solve design problems under constraints and state assumptions (published written lesson)
• C2.1 · Solve applied right-triangle problems (published written lesson)
• C2.2 · Verify the sine law and cosine law using technology (published written lesson)
• C2.3 · Choose and apply the sine law or cosine law in acute triangles (published written lesson)
• C2.4 · Solve metric and imperial applications with sine or cosine law (published written lesson)

One-variable data, sampling, statistics, and probability.

• D1.1 · Design ethical questionnaires or experiments for one-variable data (published written lesson)
• D1.2 · Collect, organize, and store secondary one-variable data (published written lesson)
• D1.3 · Distinguish populations and samples and explain good sampling (published written lesson)
• D1.4 · Compare and apply sampling techniques (published written lesson)
• D1.5 · Classify one-variable data and choose suitable displays (published written lesson)
• D1.6 · Describe common distribution shapes (published written lesson)
• D1.7 · Calculate and interpret measures of centre and spread (published written lesson)
• D1.8 · Choose suitable measures of centre and spread (published written lesson)
• D1.9 · Compare data sets using measures of centre and spread (published written lesson)
• D1.10 · Solve problems by analysing secondary one-variable data (published written lesson)
• D2.1 · Interpret probability representations in the media (published written lesson)
• D2.2 · Calculate and represent theoretical probability (published written lesson)
• D2.3 · Run experiments and determine experimental probability (published written lesson)
• D2.4 · Compare theoretical and experimental probability (published written lesson)
• D2.5 · Investigate long-run convergence of experimental probability (published written lesson)
• D2.6 · Interpret probability and statistics claims in the media (published written lesson)

A profit graph has vertex (80, 1200). What does it mean?

Worked method: If the parabola opens downward, the maximum profit is CAD 1200 when 80 items are produced.

A CAD 3000 loan is repaid with 24 payments of CAD 140. Find total interest.

Worked method: Total paid is 24 × 140 = CAD 3360. Interest is 3360 − 3000 = CAD 360.

A coin shows heads 27 times in 50 tosses. Find the experimental probability.

Worked method: The experimental probability is 27/50 = 0.54, or 54%.

Factor 3x² + 12x.

Find the mean of 4, 6, 7, 8, 10.