Visual Linear Algebra

Students are supported to solve linear algebra equations. The equation is provided both algebraically, and as a diagrammatic model. As students choose appropriate operation to carry out on both sides of the equation, the model is updated to show their progress towards a solution.

Teacher notes

  • Students are provided with an equation to solve, and can choose either to solve it or see another random equation.
  • The equation is modelled diagramatically.
  • Students are supported to choose an operation to carry out on both sides of the equation.
  • Students are asked to identify the result of that operation.
  • As the equation is updated, the diagram is modified to match.

Learning objects

Filling glasses picture.

Solving linear algebra equations (variable on one side, positive values only)
Students solve linear equations with a variable on one side. All numbers are positive.

Filling glasses picture.

Solving linear algebra equations (variable on both sides, positive values only)
Students solve linear equations with a variable on both sides. All numbers are positive.

Filling Glasses.

Solving linear algebra equations (variable on one side, positive and negative values)
Students solve linear equations with a variable on one side. Both positive and negative numbers are used.

Filling glasses picture.

Solving linear algebra equations (variable on both sides, positive and negative values)
Students solve linear equations with a variable on both sides. Both positive and negative numbers are used.