Modelling negatives

 

Just a few images that some may find helpful when describing calculations with negatives

aneg1

aneg2

aneg3

 

 

 aneg4

 

Multiplying involves the concept of an "enlargement" operation.

amneg1

 

Then the distinction between the multiplying effect of 1 (stays the same) and -1 (flips it over)

amneg2

 

Which also works on negatives

amneg3

...and so we can multiply by any sized positive or negative number.

amneg4

amneg5

Now I know I haven't included "taking away" negatives but my explanation takes more than one image to explain - but consider 5 - (-2). Since we know that 5 = 7-2, then 5 - (-2) can be written as (7-2) - (-2). Using this argument alongside appropriate diagrams with learners has proven to be succesful.

Last modified onWednesday, 26 July 2017 12:58
Rate this item
(1 Vote)
back to top

Modelling ideas

15-02-2017 Hits:548

Ideas that focus on using technology to support looking at different mathematical structures, to support or reveal a deeper understanding.. The resources described by Pete Sides at the White Rose Maths Hub conference...

Read more

Arithmetical Structures

08-11-2016 Hits:554

Representing the structure behind mathematics can help develop an understanding of arithmetic and/or algebra. This can also be linked with multiple representations of a concept as each of the illustrations...

Read more

Modelling negatives

03-11-2016 Hits:565

  Just a few images that some may find helpful when describing calculations with negatives         Multiplying involves the concept of an "enlargement" operation.   Then the distinction between the multiplying effect of 1 (stays...

Read more

IRIS Connect

22-04-2016 Hits:994

What is IRIS Connect? Originally set up as a system for teachers to record their own teaching through video capture on a secure and convenient platform IRIS Connect now has the...

Read more

Planning & resource development

01-10-2014 Hits:4940

All we want is ..... More than any other aspect the most common request from teachers is one of resources and teaching materials. This can be frustrating if you hold the opinion...

Read more

Universities

Sheffield Hallam University
University of Sheffield
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

FE Colleges

Barnsley College
Doncaster College
Rotherham College of Arts & Technology
Sheffield College
 
 
 
 
 
 
 
 
 
 

Alliances

United Learning
Navigate Trust