1.Manipulating Negative Exponents
2.Rewriting Fractional Exponents
3.Using Exponential Laws
4.Introducing Exponential Equations
5.Exponentials Base e
6.Introducing Logarithms
7.Decimal Logarithms
8.Combining Logarithms
9.Logging Exponential Equations
10.Challenging Exponential Equations
11.Understanding Natural Logarithms
12.Using Natural Logarithms
13.Linearising Exponential Equations
14.To Log or Not To Log
15.Natural Logarithmic Equations
16.One Step Logarithmic Equations
17.Reducing Logarithmic Equations
18.Changing Base Logarithmic Equations
19.Challenging Logarithmic Equations
The Unit 6 Resource Bundle Get your classroom time back with materials designed for the thinking process.
✅ 19 Printable Worksheets
✅ Complete Worked Solutions
✅ Delivered via Email (PDF)
A Note from the Creator: I’ve priced this bundle at $9.99, roughly the cost of two cups of coffee. While the caffeine keeps me fueled to build these courses between my own teaching shifts, these PDFs are here to help you stop racing the bell and start mentoring again.
Exponentials & Logarithmic Equations
• Covers: This module provides a comprehensive exploration of exponential and logarithmic functions and equations. It begins with exponentials, covering the manipulation of negative and fractional exponents, the application of exponential laws, and an introduction to exponential equations, including those with base 'e'. The module then delves into solving exponential equations by introducing and applying logarithms (both decimal and natural), combining logarithms, and linearizing exponential equations. Finally, it focuses on logarithmic equations, teaching how to solve them, reduce complex forms, and change bases, equipping students to tackle challenging problems.
• Outcomes: Confidently manipulate and rewrite exponential expressions using various exponent laws. Solve a wide range of exponential equations, including those involving the natural base 'e'. Understand the relationship between exponentials and logarithms. Apply decimal and natural logarithms to solve complex exponential and logarithmic equations. Linearize exponential equations for easier analysis. Change the base of logarithmic expressions and solve challenging logarithmic problems
TESTIMONIAL
"I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course"
🎓 Q. C. – Year 12 Student