2 December, S1 - Year 11*

GCSE Higher

 Title: Surds and Changing the subject of a formulua. 
Challenge Question
How can we remove a square-root from the denominator of a fraction? 

Learning Targets
Developing
To be able to remove surds from the denominator or a fraction.

Mastering

To be able to demonstrate how to change the subject of a formula.

Resources 

Developing

Introduce multiplication, division and factorising Surds
MyMaths - Surds

Surds (from Ten Ticks 9-10, 1, page 27-28)*

Introduce multiplying out brackets and double brackets that include Surds

Surds (from MEP 6.9)*

Exam Questions - Surds

Mastering

Introduce students to the idea of changing the subject of a formula

MyMaths - Change Subject (subject appears once)

MEP Chapter 2 - Formulae, page 16-22

Answers

MyMaths - Change Subject (subject appears twice)

Exam Questions - Rearranging Complex Formulae

Book Review

Homework
Complete the workbook to page 50

Further & Additional 

Title: Coordinate Geometry
Challenge Question

Learning Targets
Beginning
To understand that (x - a)2 + (y - b)2 = r2 is the equations of a circle with centre (a, b) and radius r. To be able to solve puzzles including questions of this form (f & a). 

Developing
Be able to illustrate linear inequalities in two variables (a).

Mastering
Be able to use graphs of linear inequalities to solve 2-dimensional maximisation and minimisation problems, know the definition of objective function and be able to find it in 2-dimensional cases (a).

Resources 

Beginning 
Pages 204-9 (Further Book)
Pages 96-100 (Additional Book)

Developing
Pages 101-111 (Additional Book)

Further & Additional - Learning Programme

Challenge Yourself

Homework
a) Write down the formula of a circle with centre (3,4) and radius 15.
b) Write down the line with gradient 5 and which goes through (5,6).
c) What are the coordinates of the two points where these graphs cross?