1. Starter (a)

2. Starter (b)

3. Solving e and ln equations part 1
A2 Maths
Core 3

4. Objectives To consolidate understanding of Natural Logarithms and ex
To solve problems involving ex and lnx with and without a GDC
To know that ex and lnx are inverse functions

5. Laws of Natural logs
The laws of logs also apply to ln.
Example:

6. Example 1 Write the following as a single logarithm
(a) (b)

7. You try – mini whiteboards! Simplify fully without a calculator.
Solution: 1.

8. You try – mini whiteboards! Simplify fully without a calculator.
Solution: 2.

9. You try – mini whiteboards! Write as a single logarithm.
Solution: 3.

10. You try – mini whiteboards! Write as a single logarithm.
Solution: 4.

11. Example 2 Simplify without using a calculator
(a) (b)

12. Example 3 Solving each equation.
(a) (b)

13. You try! – mini Whiteboards solve the equation.
Solution:

14. Example 4 Solving each equation.
(a) (b)

15. Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC
WITH A PARTNER: Questions without GDC. Split the questions in half (you’ll complete every other). Once you’ve finished your set, you must teach your partner how to complete your question before moving on to the next section.

16. Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC
WITH A PARTNER: Questions without GDC. Split the questions in half (you’ll complete every other). Once you’ve finished your set, you must teach your partner how to complete your question before moving on to the next section.

17. Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC
WITH A PARTNER: Questions without GDC. Split the questions in half (you’ll complete every other). Once you’ve finished your set, you must teach your partner how to complete your question before moving on to the next section.

18. Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC
WITH A PARTNER: Questions without GDC. Split the questions in half (you’ll complete every other). Once you’ve finished your set, you must teach your partner how to complete your question before moving on to the next section.

19. Activity
out of time

20. mymaths: matching pairs
Plenary
mymaths: matching pairs

21. Independent study Mymaths online homework – The Natural Log
Finish worksheet A: C3 Exponentials & Logs (Solomon Press)
Please copy, complete, and mark on A4 in your folder. Bring to next lesson to be checked!