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Presentation transcript:

Starter (a)

Starter (b)

Solving e and ln equations part 1 A2 Maths Core 3

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

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

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

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

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

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

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

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

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

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

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

Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC WITH A PARTNER: Questions 2 - 5 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.

Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC WITH A PARTNER: Questions 2 - 5 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.

Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC WITH A PARTNER: Questions 2 - 5 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.

Activity Work through Worksheet A BY YOURSELF: Question 1 using GDC WITH A PARTNER: Questions 2 - 5 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.

Activity out of time

mymaths: matching pairs Plenary mymaths: matching pairs

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!