## why a big-picture view of maths matters --- ### what often goes wrong - maths can feel like a list of topics with separate rules <!-- .element: class="fragment" --> - methods are memorised but not recognised in new settings <!-- .element: class="fragment" --> - unfamiliar questions feel harder than they really are <!-- .element: class="fragment" --> --- ### what a big-picture view gives you - you see connections between topics rather than isolated tricks <!-- .element: class="fragment" --> - you recognise the same ideas appearing in different forms <!-- .element: class="fragment" --> - you know why a method is being used, not just how <!-- .element: class="fragment" --> - unfamiliar problems start to look familiar more quickly <!-- .element: class="fragment" --> --- ### what this looks like in practice - rewriting expressions to reveal structure <!-- .element: class="fragment" --> - spotting quadratics hidden inside trig or algebra problems <!-- .element: class="fragment" --> - seeing graphs, equations, and functions as views of the same object <!-- .element: class="fragment" --> - choosing a method because it fits the structure, not because it was last taught <!-- .element: class="fragment" --> --- ### why this helps with exams - fewer mistakes from applying the wrong technique <!-- .element: class="fragment" --> - greater confidence when questions are worded differently <!-- .element: class="fragment" --> - better performance on harder, multi-step problems <!-- .element: class="fragment" --> - improved ability to adapt under pressure <!-- .element: class="fragment" --> --- ### an important reassurance - this is not about abstract theory <!-- .element: class="fragment" --> - fluency and practice still matter <!-- .element: class="fragment" --> - the big picture sits on top of solid 🥷 skills <!-- .element: class="fragment" --> --- ### the aim - to learn a small number of ideas deeply <!-- .element: class="fragment" --> - to use them flexibly in many situations <!-- .element: class="fragment" --> - to see maths as connected, not fragmented <!-- .element: class="fragment" --> > the goal is not to learn more content, but to understand what you already know more clearly<!-- .element: class="fragment" --> --- <img src="images/compthesquare.png" alt="screenshot" style="width:70%; height:auto;"> - nb "in the form"<!-- .element: class="fragment" --> --- <img src="images/wavefunction.png" alt="screenshot" style="width:70%; height:60%;"> - nb "in the form"<!-- .element: class="fragment" --> ---