Chapter 5: What does factorising x^2 + bx + c mean (visually)?

Reference: IT Exploration Worksheet

Part 1:

LHS = a² + 2a + 1
RHS = (a+1)(a+1), which can be rewritten as (a+1)²

Part 2:

View the following animation to understand learn how the rectangular pieces are assembled.
Did you notice there is a systematic way of organising the rectangular piecs?

URL: http://staff.argyll.epsb.ca/jreed/math9/strand2/factor1.htm
Look at all THREE examples

Part 3:
Generate your own polynomials to factorise using the manipulatives
Update your diagrams and answers in the worksheet.

Select "Tiles (Natural #)" to generate 3 polynomials