1. Trial & improvement Too muchToo little What’s the story?

2. The big picture... LO: To use a systematic method to solve an equation to a given degree of accuracy MUST: be able to round numbers to a given number of decimal places. SHOULD: be able to apply the trial and improvement process. COULD: be able to justify your solution to an examination question.

3. Get your brain into gear... (a) Write these numbers correct to 1 decimal place: 4.613 2.157 1.498 (b) Work out the value of x 2 - 3x when i) x = 1 ii) x = 2

4. The maths bit... Show that the equation x 3 – 2x = 15 as a solution between 2 and 3 Use a trial and improvement method to find the solution to 1 d.p.

5. Demonstrate your learning... Q1. x 3 - 5x = 8 has a solution between 2 and 3. Find this solution correct to 1 decimal place Q2. x 3 - x = 90 has a solution between 4 and 5. Find this solution correct to 1 decimal place Q3. x 3 = 56 has a solution between 3 and 4 Find this solution correct to 1 decimal place

6. Review your learning... Exam questions... Q1. x 3 + 5x = 67 has a solution between 3 and 4. Find this solution correct to 1 decimal places Q2. Use trial and improvement to find a solution, to 1 decimal place, of the equation x³ + x = 100. Show all your trials in the table

7. The big picture... LO: To use a systematic method to solve an equation to a given degree of accuracy MUST: be able to round numbers to a given number of decimal places. SHOULD: be able to apply the trial and improvement process. COULD: be able to justify your solution to an examination question.