Support your learners to develop mental models and deepen their understanding of symbols and formulas

Developing understanding is a series of resources that encourages learners to connect their thinking at the macroscopic, sub-microscopic and symbolic levels.

  • Example pages from the resource including a student worksheet and teacher notes

    Download this

    A ramped worksheet to help learners develop their mental models of symbols and formulas. With icons to indicate the conceptual level/s of each question.

Learning objectives

  1. Recognise that chemical symbols are based on the element name in English or in Latin.
  2. Determine the number of each type of atom in a molecule from a chemical formula.
  3. Interpret the meaning of a chemical formula representing a substance made up of separate molecules.
  4. Interpret the meaning of a chemical formula representing a substance made up of one giant molecule.

How to use this resource

This resource aims to develop learners’ understanding of symbols and chemical formulas. The questions encourage learners to think about what is represented by the chemical formula of a substance made of individual molecules. This leads to the idea of a chemical formula as showing the ratio of different types of atom in the bulk substance. As a result, learners should develop more secure mental models to support their thinking about this topic.

  • When to use? Use after initial teaching or discussion of this topic to develop ideas further. You can also use as a revision activity.
  • Group size? Suitable for independent work either in class or at home. Or use the questions for group or class discussions.
  • How long? 15–30 mins

Johnstone’s triangle

Johnstone’s triangle is a model of the three different conceptual levels in chemistry: macroscopic, symbolic and sub-microscopic. You can use Johnstone’s triangle to build a secure understanding of chemical ideas for your learners.

Introduce learners to Johnstone’s triangle with our C, O and Co Johnstone’s triangle worksheet which guides learners to think about the differences between carbon monoxide and cobalt at a macroscopic, sub-microscopic and symbolic level.

Further reading 

Read more about how to use Johnstone’s triangle in your teaching with these articles:

Norman Reid’s book The Johnstone triangle: the key to understanding chemistry provides a more in-depth overview, the first chapter is available to read online.

Johnstone’s triangle and this resource

The icons in the margin indicate which level of understanding each question is developing to help prompt learners in their thinking.

  • Macroscopic: what we can see. Think about the properties that we can observe, measure and record.
  • Sub-microscopic: smaller than we can see. Think about the particle or atomic level.
  • Symbolic: representations. Think about how we represent chemical ideas including symbols and diagrams.

The levels are interrelated, for example, learners need visual representation of the sub-microscopic in order to develop mental models of the particle or atomic level. Our approach has been to apply icons to questions based on what the learners should be thinking about.

Questions may be marked with two or all three icons, indicating that learners will be thinking at more than one level. However, individual parts of the question may require learners to think about only one or two specific levels at a time.

Support

This worksheet is ramped so that the earlier questions are more accessible. The activity becomes more challenging in the later questions. You can give extra explanations for the more challenging questions. If completing as an in-class activity it is best to pause and check understanding at intervals, as often one question builds on the previous one.

It is useful for learners to observe macroscopic properties first hand. You could circulate examples of substances in the classroom, run a class practical of a chemical reaction or show a teacher demonstration of properties.

Additional support may be needed for any learners still lacking in confidence in the required symbolic representation, for example by sharing and explaining a diagram or a simulation that can show movement of the particles.

Answers and guidance

There are four multi-part questions in the student worksheet. The answers can be found in the teacher notes.

The first question develops learners’ understanding of the use of letters to create symbols for a range of elements whose names start with the letter (symbolic understanding).

The second question develops learners’ understanding of how a chemical formula (symbolic understanding) can show the number of atoms in each molecule of substance (sub-microscopic understanding). It also develops understanding of what information a chemical formula does not provide (the order in which atoms are connected in a molecule). Please note that whilst all the examples in this question are made up of separate molecules it may help reduce later misconceptions to ensure that learners are aware that a chemical formula does not always represent a substance made up of individual molecules. A formula can represent a single connected giant structure (see Q4). At this point in the curriculum learners will not have encountered the idea of ions and therefore ionic compounds have been avoided in this resource.

The third question develops learners’ understanding of how a chemical formula (symbolic understanding) represents the ratio of atoms in the bulk substance which consists of many molecules. Please note that knowledge of the word ratio is not required. Learners are provided with a sentence structure to express the idea (see Q3c).

The fourth and final question develops learners’ understanding of how a chemical formula (symbolic understanding) represents the ratio of atoms in silicon dioxide which has giant structure rather than being made up of individual molecules (sub-microscopic understanding). This is why it is important to extend understanding of chemical formulas from giving the number of different types of atoms in a single molecule to giving the ratio of types of atom in the bulk substance. It may help learners to show them a 3D physical model of silicon dioxide or a digital image of the structure.