Patterns and Proofs

Blog

  • How to Find the Distance Between Two Points

    The formula The distance between two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is: $$ d = \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}. $$ In other words, subtract the $x$-coordinates and the $y$-coordinates first. Then, we square both, and add them. Finally we take the square root of the sum. Here’s a worked example: Find…

  • Is Your Child Just Memorising Formulas?

    Here’s How to Tell Here’s a scenario that trips up a lot of parents: your child is scoring reasonably well in math tests. Not struggling, not failing. And yet, something feels off — homework feels like a battle, a slightly-reworded question throws them completely, and their confidence around math seems lower than the marks would…

  • Why Is My Child Suddenly Struggling With Class 9 Math?

    If you’re reading this, there’s a good chance you’ve had some version of this conversation at home recently: “I don’t get it,” followed by a closed textbook and a longer-than-usual sigh. And you’re confused, because this is the same child who was doing perfectly fine in math just last year. You’re not imagining it. Something…

  • Inside an Activity-First Lesson: What Students Actually Do

    What does ‘activity-first learning’ actually look like in a real Class 9 math lesson? A step-by-step walkthrough of one activity, start to finish.

  • Understanding Mathematics: Beyond Memorization

    Does understanding math actually help with exam scores, or is memorization just faster? Here’s what the evidence from Class 9 classrooms actually shows.