Grade 10 Math Topics – Linear Systems, Induction & Binomial Theorem, Conic Sections

MathematicsAlgebraAges 15–16

Three Grade 10 elective topics in one simulation, chosen with the topic parameter. System of three linear equations: step through Gaussian elimination on the coefficient matrix to see whether the system has a unique solution, no solution, or infinitely many solutions. Induction and the binomial theorem: click cells of Pascal's triangle to see the addition rule and the expansion of (a+b)^n, with a staircase diagram proving 1+2+…+n = n(n+1)/2. Conic sections: drag point M along the curve, check that MF = e·d(M, Δ), and watch the ellipse, parabola, and hyperbola change as the eccentricity e varies.