7. Exponential Functions

7.3 Solving Exponential Equations

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

  7.3A Solving Exponential Equations

  7.3B Applications of Solving Exponential Equations

Pedagogical Shifts: TRANSFORM, Moving from Traditional to Student-centered

Shifting from content based to competencies based

Shifting from Student as Knowledge Recipient to Student as Inquirer and Creator

Shifting from Memorization to Higher-level Thinking

Shifting from One-size-fits-all to Personalized, Differentiated

Building and Solving Equations Activity Template

I used, this template as an introduction to Solving Exponential Equations. Students had to build exponential equations starting from x = #. For example, x = 3, In the next step, multiple by 2 to get 2x = 6. Add 3 to both sides, 2x+3 = 9. Finally raise each side of the equation to a base: 5^(2x+3) = 5^9.  I had students switch papers and them solve the equation by undoing the steps in the reverse order. I liked how students were able to justify the strategy of equating the exponents when the bases are the same.