Algebra

• Linear inequality in one variable – solution set on a number line Mathematics · Algebra Solve the inequality ax + b > c (or <, ≥, ≤) step by step: transpose terms, then divide both sides by a and flip the... Ages 14–15
• Algebraic expressions with coins – collecting like terms Mathematics · Algebra Drag coins worth x, y, x², xy and 1 into the tray; coins of the same kind stack into one pile, showing directly how... Ages 12–13
• Equation balance – solving linear equations Mathematics · Algebra Place shapes, number tiles or x tiles on the two pans of a balance to build and test an equation, then apply... Ages 13–14
• Equation balance – linear equations in two variables Mathematics · Algebra Place x, y and constant algebra tiles (positive tiles are coloured, negative tiles have a white border) on the two... Ages 14–15
• Algebra and Conics – Linear Systems, Induction & Binomial Theorem, Conic Sections Mathematics · Algebra Three math topics in one simulation, chosen with the topic parameter. System of three linear equations: step through... Ages 15–16
• Polynomials in one variable – graphs, values and roots Mathematics · Algebra Choose the degree and the coefficients of a polynomial P(x) of degree 1, 2 or 3; the simulation writes the... Ages 12–13
• Area model algebra – expanding and factorising Mathematics · Algebra Drag four coefficients to change two binomials a·x + b that form the sides of a rectangle; the rectangle splits into... Ages 13–14
• Sign of a quadratic function Mathematics · Algebra Drag a, b and c to change the parabola y = ax² + bx + c and read the matching sign table right away. The simulation... Ages 15–16
• The fraction (ax + b)/(cx + d): domain and graph Mathematics · Algebra Graphs the value of the rational expression y = (ax + b)/(cx + d) as x varies. Students drag the sliders a, b, c, d... Ages 13–14
• Unit rates – unit price and speed Mathematics · Algebra Three screens: in Market, drag oranges, mangoes, vegetables, cookies and sweets onto a scale to work out the unit... Ages 12–13
• Algebraic Identities – Cut and Rearrange Mathematics · Algebra Illustrates (a + b)², (a − b)² and a² − b² using the areas of squares and rectangles. Students drag the handles to... Ages 13–14
• 2D + 3D Systems of Three Linear Equations – Planes and Gaussian Elimination Mathematics · Algebra Each equation ax + by + cz = d is a plane in space. Rotate the 3D frame to see three planes meet at one point... Ages 15–16
• Systems of Two Linear Equations – Solving Graphically Mathematics · Algebra Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are drawn on the coordinate plane; their intersection is the solution of... Ages 14–15
• Matrices – types, sum, scalar multiple, transpose and matrix product Mathematics · Algebra Set the order m × n and the entries of two matrices A and B, see which types A belongs to (row, column, square,... Ages 16–17
• Solution region of a system of linear inequalities in two variables Mathematics · Algebra Draws the solution region of a system of up to 3 inequalities of the form ax + by ≤ c (or ≥, <, >) on the coordinate... Ages 15–16
• Multiplying polynomials with an area model Mathematics · Algebra A rectangle with length a + b and width c + d is split into 4 cells. Students drag the handles on the edges to... Ages 13–14
• Binomial theorem, Pascal's triangle, and proof by induction Mathematics · Algebra The expansion of (a + b)ⁿ has coefficients equal to row n of Pascal's triangle. Increase n step by step to see how... Ages 15–16
• Laws of indices – from repeated factors to zero, negative and fractional indices Mathematics · Algebra Choose a base and indices and see bᵐ·bⁿ, bᵐ ÷ bⁿ and (bᵐ)ⁿ expanded into factor tiles; pairs b/b are crossed out so... Ages 16–17
• Proportion playground – comparing ratios Mathematics · Algebra Four everyday contexts – bead necklaces, mixing paint, billiard tables and buying apples or guavas – each place two... Ages 12–13
• Complex numbers on the Argand diagram – operations, polar form and De Moivre's theorem Mathematics · Algebra Drag two complex numbers z and w on the Argand diagram and see z + w as vector addition, zw as a rotation by arg w... Ages 15–16
• Direct and inverse proportion – table and graph Mathematics · Algebra A table of values and the graph of y = kx (direct proportion) or y = k/x (inverse proportion). Drag the point on the... Ages 12–13
• Ratio and proportion – match the target ratio Mathematics · Algebra Move two "hands" up and down two vertical bars so that the ratio of their heights equals the target ratio; the... Ages 11–12

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