# Math Table

The Math Table interaction type can be used for a wide variety of tables and is backed by Algebrakit‘s math engine. This means automatic evaluation, hints, and feedback for each cell.

←interaction overview

The most obvious application of a table. Calculate the value in each cell.

A powerful feature of the Math Table interaction is the ability to validate **relations** on cells. This allows for open questions where students are free to choose their inputs, while Algebrakit validates if certain conditions are met.

In this example, the student can choose any value for *x* as long as the numbers are increasing.

An important tool for fractions and percentages is the ratio table. This tool is available as a specialisation of the Math Table question type. Algebrakit will automatically validate if the ratio table is valid and if the operations on the arrows are correct.

The arrows can also be used on regular (non-ratio) tables. Relevant for investigating linear, exponential and quadratic relations.

The student is challenged to find the solution of an equation. Notice how the student is free to choose the values for *x*. Algebrakit’s evaluation engine generates suitable feedback based on author-defined evaluation criteria.

Another example of an open question. The student needs to find the two divisors of -30 that have -13 as their sum. The student is free to try any values, while AlgbraKiT validates if the numbers are valid divisors and if they are summed correctly.