For this week’s agricultural-themed #MondayMaths, we’re asking puzzle-solvers to tackle the areas of two different sized fields and express them algebraically.
This puzzle ties in nicely to this term’s Year 9 mastery curriculum , where students are developing their understanding of factorising quadratic equations and manipulating expressions with squared terms. This learning will then be built upon in Year 10.
A helping hand
This might seem like quite a confusing and abstract question. Here are some tips to get your class started.
Factorising further a-field
In simple(ish) terms, factorisation is rewriting an expression as a product. In this case, the ah2 + bh + c expression can be factorised as an (h + _)(h + _) expression – which are two linear expressions that multiply to the area of Ian’s field.
Can students spot that these must be the side lengths of Ian’s field?
Looking at rectangles is a great opportunity to explore quadratic factorisation visually and this type of question frequently features in exams.
Why not extend this puzzle with a task using algebra tiles? They’re a fantastic way to explore quadratic equations visually!
The answer to this week’s puzzle will be revealed on Thursday – make sure you tune in to Twitter for the answer.Back to news list Next article