Mathematics
GeometryNumbersAlgebraFunctionsStatistics and probability
Algebra
Ruffini
Learn how to use Ruffini's rule to evaluate a polynomial.
Observe that the result can be interpreted as a division.
Ruffini
Practice the evaluation of a polynomial with Ruffini's rule, and interpret the result.
Reduction of polynomials
Practice the operations between polynomials, reducing several expressions.
Simplification of algebraic fractions
Learn how to reduce algebraic fractions, factorising the polynomials that form it.
Observe the process is very similar to simplifying fractions with integers.
Equivalent equations
Experiment with linear equations, obtaining equivalent equations by applying the same operations at both sides.
Observe the solution can be interpreted as the simplest equation.
1st degree equations
Learn how to solve 1st degree equations (linear) step by step, or use this activity to quickly obtain the solution.
Observe the different types of existing solutions.
Solving 1st degree equations
Practice solving 1st degree equations (linear) with one unknown.
1st degree equations with two unknowns
Experiment with 1st degree equations (linear) with two unknowns, looking for solutions.
Observe that solutions can be represented as a line in the plane.
You can search for solutions by dragging the blue point in the plane.
Inequations with one unknown
Experiment with one or two 1st degree inequations (linear) with one unknown.
Observe the different types of existing solutions, and how they can be represented on the real line.
1st degree equations with two unknowns
Experiment with 1st degree equations (linear) with two unknowns.
Observe that solutions can be represented as a semiplane.
You can search for solutions by dragging the blue point in the plane.
Solving 1st degree inequations
Practice solving 1st degree inequations (linear) with one unknown.
Remember to change the sense of the inequality if you change the sign.
Systems of 1st degree equations
Experiment with a system of two 1st degree equations (linear) with two unknowns.
Observe the types of solutions correspond to the positions of the two lines in the plane.
You can search for solutions by dragging the blue point in the plane.
Systems of 1st degree equations
Practice solving systems of two 1st degree equations (linear) with two unknowns.
All systems proposed are determinate, they have a single solution.
Substitution method
Experiment with a system of two 1st degree equations (linear) with two unknowns, calculating their solutions with the substitution method.
Learn how to do it step by step, or use this activity to quickly calculate the solutions.
2nd degree equations
Learn how to solve 2nd degree equations (quadratic) with the formula, or use this activity to quickly obtain the solutions.
Observe the different types of existing solutions.
Solving 2nd degree equations
Practice solving 2nd degree equations (quadratic) with one unknown.
Remember that there can be two solutions, one, or none.
Polynomial equations
Learn how to solve polynomial equations with different techniques, or use this activity to quickly obtain the solutions.
Observe that the number of possible solutions increases with the degree of the equation.
Sometimes only the problem is reduced, and the equation is still to be solved, but with a lower degree.