03 December 2012

3 December, S2 - 10/M1*

Title: Trial and Improvement
Room: 
Learning Objectives 

Grade D

To be able to explain the method for number problems using trial and improvement.

When do you know you have the correct answer?

Grade C
To be able to explain the method for solving equations using trial and improvement.
When can we can be confident about a set degree of accuracy?

Grade B
To be able to recognise the shapes of the graphs y = x3 and y=1/x.
How many solutions could you expect to from cubic equation?

Resources 


Grade D





Grade C
Ten Ticks - 7-8, 3, page 28


Grade B

Introduce cubic function 


Now move on to look a reciprocal functions.

Guide students to recognise the properties of different graphs:


Homework:
Using Trial and Improvement solve the following equation to 3DP
x^5 - x^2 + 5 = 0
Hint: the solution is between -1.5 and -1.0

Email a picture of your answer and workings before the first lesson next week.

Learning Objective for next lesson:

Grade B
To be able to demonstrate solving a pair of linear simultaneous equations from their graphs.
Where on the graphs do you find the solution?

To be able to explain a method for solving two simultaneous linear equations.
What is the first thing you are looking to do when solving simultaneous equations?

Grade A
To be able to explain how to find the equation of linear graphs parallel and perpendicular to other linear graphs, that pass through specific points.
What is the gradient of a line perpendicular to the line y = 4x + 1?