Rearranging equations, expanding and factorising quadratics
 
         
 

Lesson Plan
Rearranging Equations Teacher’s Notes.
Although this is a sequence of five lessons, it will more than likely take longer and will need to be complemented with teacher’s own work. Please work through all activities and PowerPoint presentations and think how these can be used in your classroom.

 
Project resources
For each resource right click and select "save target as..."
 
Lesson 1 - rearranging equations
  The PowerPoint looks at how else an equation can be written. The stars action different equations for the students to decide on. Then consider rearranging equations by order of operations. To consider how elements move across the equals, there is an animation taking across equals, initially the equation is in the wrong order:

There is a worksheet than be used for Level 8 rearranging equation, this is considerably more challenging and looks at equations where expanding and factorising is needed.


 

Rearranging Equations (Introduction).ppt  

Rearranging Equations Worksheet.doc



 

Investigating Rearranging Equations (Level 8).doc
Lesson 2 - steps of balancing equations
  Two worksheets for either partner or individual work. This considers the steps of balancing equations, asking students to convince themselves or finish off methods.
 
Rearranging Equations Partner Worksheet .doc  

Rearranging Equations for Partner Worksheet.ppt

Rearranging Equations .doc
Lesson 3 - expanding double brackets.
  Use the worksheet for students to investigate how the area of a rectangle relates to expanding double brackets.


This is a drag and drop activity to consider expanding brackets, initially asking for lots of 1’s then extending this to the actual constant. (In order to run the PowerPoint you may need to set security setting to low in order to run Macros in the presentation).

The part of the lesson where there are several arrows for each portion can be used for students to stand in corners of the room for the coefficients.

Expanding Brackets Exercises.doc

 

Expanding Brackets Partner Work investigation.doc

Expanding out Brackets Double Brackets Drag Drop Enable Macro.ppt

 

 

 

 

 

 

 

Lesson 4 - factorising quadratics
  Use the worksheet for students to investigate the inverse operation of expanding.
The Easiteach activity is for trial and error to work out the factors for a quadratic equation, this can then be supported with the PowerPoint and multiple choice questions.
Note: the following downloadable file is specific to use with Easiteach Studio
Factorising a Quadratic.ppt  

Factorising a Quadratic.doc
Factorising a Quadratic.et

Lesson 5 - test
  Use the test and the PowerPoint so that students can independently work through their solutions afterwards.

Factorising Quadratics Quick Test.doc

 

Test.doc

Test Solutions.ppt
Downloads

Scheme of work
Entire project
 

 

A Teachnet UK 2005 Project submitted by Brett Williams
from Dunraven School in Streatham, London