IB Maths AA SL 2.10 - Solving Equations Graphically and Analytically

This IB Maths AA SL Topic 2.10 – Solving Equations Graphically and Analytically resource helps students understand the connection between analytic and graphical approaches to solving equations. It begins with the key idea that solving an equation analytically means finding exact values through algebraic methods, while solving graphically means identifying roots, x-intercepts, or intersections using a graph. Students are guided to see that both approaches should agree, while also learning when one method is more appropriate than the other.

The lesson develops fluency through a range of equation-solving scenarios, including equations that can be solved analytically using substitution, equations best solved using graphing technology, and real-life exponential modelling problems. Students practise rearranging equations into a useful form, interpreting roots and intersections, using technology to find solutions where analytic methods are not practical, and giving answers with appropriate rounding and context. With clear explanations, worked examples, graph-based reasoning, structured practice questions, exam strategy guidance, and fully worked solutions, this resource helps SL students build confidence in solving equations graphically and analytically in line with IB Mathematics AA expectations.