Ontario Grade 12 College Preparation math (MAP4C)

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.