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Trial and Improvement

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by

Mr Mattock

on 28 November 2016

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Transcript of Trial and Improvement

Trial and Improvement
Trial and Improvement
The equation x - 3x= 10 has a solution between x = 2 and x = 3. Find a solution to this equation giving your answer to 1 decimal place.
Example
Solve the equation x + 5x = 9. Start with x = 1. Give your answer to 1 decimal place.
L.O. - Solve non-linear equations using a trial and improvement.
3
3
Main Activity
Complete Red, Amber or Green Activity
Sheet.
Red - 3.1 and 3.4

Amber - 2.3 and 3.4

Green - 4.27 and (a) 6.16 (b) -0.16
x = 4.6
x = 5
x = 4.6
x = 4.6
Trial and Improvement
The equation x - 3x= 10 has a solution between x = 2 and x = 3. Find a solution to this equation giving your answer to 1 decimal place.
3
x = 2.6
x = 1.3
Example
Solve the equation x + 5x = 9. Start with x = 1. Give your answer to 1 decimal place.
3
x = 4.6
x = 5
x = 4.6
x = 4.6
(3)
(1)
(0)
(2)
Starter
Work out the following when x = 2:

(a) 3x
(b) 5x
(c) x
(d) x - 3x
(e) x + 5x
3
3
3
Starter
Work out the following when x = 2:

(a) 3x
= 6
(b) 5x
= 10
(c) x
= 8
(d) x - 3x
= 2
(e) x + 5x
= 18
3
3
3
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript