The lesson plan covers the following topics:

1. Polynomial functions

• Characteristics of polynomial functions, Equations and graphs of polynomial functions, Transformations, Slopes of secants and tangents

2. Polynomial equations and inequalities

• Remainder Theorem, Factor Theorem, Polynomial equations, Families of functions, Solve factorable polynomial inequalities algebraically

3. Rational functions

• Reciprocal of a linear function, Reciprocal of a quadratic function, Rational function of the form f(x) = (ax+b)/(cx+d), Solve rational equations and inequalities, Making connections with rational functions and equations

4. Trigonometry

• Radian measure, Trigonometric ratios and special angles, Compound angle formulas, Proof of trig identities, equivalent trig. Expressions

5. Trigonometric functions

• Graphs of sine, cosine and tangent and their reciprocals, Sinusoidal functions of the form f(x) = a sin [k(x-d)]+c, Solve trig. Equations, Making connections and instantaneous rate of change

6. Exponential and logarithmic functions

• Exponential function and its inverse, log, Transformation of log, power law of log

7. Tools and strategies for solving exponential and logarithmic equations

• Equivalent forms of exponential equations, solving exponential equations, product and quotient laws of log, solving log. equations

8. Combining functions

• Sum and differences of functions, Products and quotients of functions, Composite functions, Inequalities of combined functions

This product is also suitable for

• McGraw and
• Nelson textbooks

You may find the lesson plans even more useful when you have the lesson notes on hand. All the lesson notes can be found under "Grade 12 Advanced Functions MHF4U Math" category.

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