Diagnostic assessment checks what learners know before instruction. Formative assessment helps you decide what to change while teaching. Summative assessment evaluates achievement at a defined endpoint. The distinction is the decision you make with the evidence, not whether the questions are on paper or in an app.
For a coaching institute, these purposes can sit within one weekly plan. A short prerequisite check helps you choose a starting point; a question during class checks understanding; a scheduled mock test evaluates a wider set of objectives. You do not need three separate software products to do this.
Choose the assessment by its purpose
| Purpose | Example | What happens next |
|---|---|---|
| Diagnostic | Before a fractions lesson, ask learners to identify equal parts and compare two simple fractions. | Decide whether prerequisite work is needed. |
| Formative | After explaining equivalent fractions, ask learners to explain why two representations match. | Clarify a misconception before moving on. |
| Summative | At the end of a unit, assess the objectives using an agreed marking scheme. | Report achievement and plan subsequent support. |
Carnegie Mellon’s assessment guidance distinguishes ongoing feedback from end-of-unit evaluation. A summative result can also inform later teaching. That does not make every quiz formative: the teacher needs to use its evidence.
A worked plan for an algebra class
This is an illustrative lesson design, not a customer result. Before teaching linear equations, ask students to solve 3x = 12 and explain the operation used. During instruction, show 3x + 2 = 14 and ask which operation should come first and why. At the end, use a new equation with the same structure plus one word problem. Keep the solutions and marking rationale ready before class.
Suppose several learners subtract 2 correctly but then subtract 3 instead of dividing. Inspect their working rather than labeling them careless. Revisit what multiplication means in the expression, model a correct step, and ask for a fresh attempt. One answer is a clue, not a diagnosis of a student’s ability.
Prepare the evidence before collecting it
- Write one observable objective: what should the learner solve, explain or identify?
- Choose questions that actually test that objective, including any prerequisite.
- Prepare correct answers, accepted alternatives and a scoring rule.
- Decide what response pattern would lead you to reteach, practise or move on.
- Keep access requirements and language demands appropriate for the class.
Common mistakes to avoid
Do not turn every quick check into a high-pressure ranking exercise. Avoid combining unrelated skills into one score and then treating that score as an explanation. Check the answer key and question wording before assuming that a difficult item reveals a teaching problem. Give learners a clear next step, not just a mark.
The same maths question can serve three different purposes
Consider 3x + 2 = 14. The solution is x = 4: subtract 2, then divide by 3. Before instruction, it can reveal whether learners already know the process. During teaching, it can guide an immediate explanation. In an end-of-unit paper, it can contribute to a judgment against the assessed objectives. The question alone does not determine its purpose.
| When used | What the teacher examines | Teaching or reporting decision |
|---|---|---|
| Before the lesson | Can students begin without hints and explain their first operation? | Choose the starting point and any prerequisite support. |
| During the lesson | Do responses show division, or subtraction of the coefficient? | Model the missing idea and try a fresh equation. |
| At the end of the unit | How does the response meet the agreed marking criteria? | Report achievement, then plan support where needed. |
Do not use the identical question repeatedly and interpret recall of its answer as transfer. After feedback on 3x + 2 = 14, use 5x + 1 = 31, whose solution is x = 6. Ask for the reasoning as well as the answer. A formative check should lead to a decision, even when that decision is to move on.
For ready-to-adapt prompts, use the exit ticket examples with answers. To decide what each check should measure, start with learning objectives and success criteria. Keep low-stakes checks focused on feedback rather than public rankings.
Start with the lesson-plan template, then use the test-results review to decide what to teach next. If you want to evaluate digital delivery, the test-series launch guide covers operational checks. ThePrepLab can help with question preparation and assessment delivery; educators remain responsible for the questions and teaching decisions.