Ontario Grade 12 Foundations for College Math (MAP4C) 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 دوازدهم انتاریو (MAP4C) 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.

The 59-topic course map is available now. Written lessons appear here only after they have been reviewed and published. Check the official Ontario curriculum for exact requirements.

درس‌ها و برنامهٔ درسی مبانی ریاضی کالج پایه دوازدهم انتاریو را از کجا پیدا کنم؟ نقشهٔ 59 موضوع این درس در دسترس است. درس‌های نوشتاری پس از بررسی و انتشار در همین صفحه نمایش داده می‌شوند. برای شرایط دقیق به برنامهٔ درسی رسمی انتاریو مراجعه کنید.

Exponents, graphs, rates, formulas, and practical modelling.

• A1.1 · Apply exponent laws to products, quotients, and powers (written lesson not published)
• A1.2 · Simplify expressions with integer exponents (written lesson not published)
• A1.3 · Interpret rational exponents (written lesson not published)
• A1.4 · Evaluate expressions with rational exponents (written lesson not published)
• A1.5 · Solve exponential equations numerically and graphically (written lesson not published)
• A1.6 · Solve exponential applications with graphs and tables (written lesson not published)
• A1.7 · Solve exponential equations using a common base (written lesson not published)
• A2.1 · Interpret graphs in practical contexts (written lesson not published)
• A2.2 · Describe trends and make predictions (written lesson not published)
• A2.3 · Interpret rate units (written lesson not published)
• A2.4 · Distinguish zero, constant, and changing rates (written lesson not published)
• A2.5 · Compare linear, quadratic, and exponential models (written lesson not published)
• A2.6 · Choose between linear and exponential models (written lesson not published)
• A3.1 · Solve power equations with rational exponents (written lesson not published)
• A3.2 · Solve formulas for a variable up to degree three (written lesson not published)
• A3.3 · Connect formulas with functions (written lesson not published)
• A3.4 · Solve multistep formula applications (written lesson not published)
• A3.5 · Investigate careers using mathematical models (written lesson not published)

Annuities, mortgages, renting, ownership, budgets, and saving.

• B1.1 · Describe annuities and their applications (written lesson not published)
• B1.2 · Investigate changing annuity conditions (written lesson not published)
• B1.3 · Solve annuity problems using technology (written lesson not published)
• B1.4 · Explain the value of earlier deposits (written lesson not published)
• B1.5 · Describe mortgages and their conditions (written lesson not published)
• B1.6 · Interpret a mortgage amortization table (written lesson not published)
• B1.7 · Generate a mortgage amortization table (written lesson not published)
• B1.8 · Investigate changing mortgage conditions (written lesson not published)
• B2.1 · Identify costs and procedures for owning and renting (written lesson not published)
• B2.2 · Compare owning and renting accommodation (written lesson not published)
• B2.3 · Distinguish fixed and variable housing costs (written lesson not published)
• B3.1 · Estimate living costs (written lesson not published)
• B3.2 · Create a savings plan (written lesson not published)
• B3.3 · Create a household budget (written lesson not published)
• B3.4 · Assess accommodation affordability (written lesson not published)
• B3.5 · Adjust a budget after changing conditions (written lesson not published)
• B3.6 · Investigate careers involving personal finance (written lesson not published)

Measurement, optimization, right triangles, and oblique triangles.

• C1.1 · Convert imperial and metric measurements (written lesson not published)
• C1.2 · Calculate areas of composite figures (written lesson not published)
• C1.3 · Calculate volume and surface area of composite objects (written lesson not published)
• C2.1 · Investigate optimal perimeter-area relationships (written lesson not published)
• C2.2 · Determine optimal dimensions of two-dimensional shapes (written lesson not published)
• C2.3 · Determine optimal dimensions of three-dimensional objects (written lesson not published)
• C3.1 · Solve two-dimensional right triangles (written lesson not published)
• C3.2 · Distinguish acute and obtuse trigonometric ratios (written lesson not published)
• C3.3 · Determine trigonometric values for obtuse angles (written lesson not published)
• C3.4 · Solve oblique triangles using sine and cosine laws (written lesson not published)
• C3.5 · Investigate careers using geometry and trigonometry (written lesson not published)

Surveys, scatter plots, correlation, media claims, and indices.

• D1.1 · Distinguish one-variable and two-variable data (written lesson not published)
• D1.2 · Design a survey (written lesson not published)
• D1.3 · Collect and organize two-variable data (written lesson not published)
• D1.4 · Create scatter plots (written lesson not published)
• D1.5 · Determine a line of best fit (written lesson not published)
• D1.6 · Interpret and identify misinterpretations of data (written lesson not published)
• D1.7 · Assess model appropriateness and correlation (written lesson not published)
• D1.8 · Draw conclusions from two-variable data (written lesson not published)
• D2.1 · Interpret statistical terms in the media (written lesson not published)
• D2.2 · Interpret common indices (written lesson not published)
• D2.3 · Interpret media reports using statistics (written lesson not published)
• D2.4 · Assess the validity of statistical claims (written lesson not published)
• D2.5 · Investigate careers using data management (written lesson not published)

Estimate one month of interest on CAD 240,000 at 6% annual interest using 6%/12.

Worked method: The monthly rate is 0.005. Interest is 240,000 × 0.005 = CAD 1,200.

A model is y = 2.5x + 10. Predict y when x = 8.

Worked method: Substitute x = 8: y = 2.5(8) + 10 = 30.

A CAD 1800 monthly budget spends 35% on rent. Find the rent amount.

Find the area of a 6 m by 4 m rectangle with a 2 m by 1 m piece removed.