How to Prepare for a Small-Group Online HSC Tutoring Session

Your online HSC tutoring session starts in five minutes, and the question you wanted help with is still blank. You could spend the session watching someone else solve it, or you could spend two minutes identifying what you understand, what you tried, and exactly where you got stuck. The second option gives you and your tutor a much clearer place to start.

Which opening is more useful: “I don’t understand calculus” or “I can differentiate the function, but I don’t know how to use the derivative to determine where it is increasing”? The second. It identifies a specific decision that needs explaining, rather than asking someone to reteach an entire topic.

The short version is simple: arrive with one learning goal, one attempted question, and one clearly stated point of confusion. During the session, explain your reasoning and ask why a method works. Afterwards, attempt a similar question independently. You don’t need to arrive with the answer. You need to arrive with something your tutor can help you improve.

01Before the session: arrive with something to work on

You don’t need an elaborate preparation routine. If you can spare 10-15 minutes, use that time to prepare one useful question rather than trying to revise an entire topic.

Your pre-session checklist

• [ ] Choose one main learning goal. Identify something you want to understand or be able to do by the end of the session.
• [ ] Attempt at least one question. Work through as much as you can, even if you only get as far as drawing a diagram, identifying the relevant information, or choosing a possible method.
• [ ] Mark the exact point where you get stuck. Circle a step, underline a confusing statement, or write a question in the margin.
• [ ] Prepare one sentence explaining your confusion. Include what you understand, what you tried, and what you cannot yet explain.
• [ ] Have your materials ready. Open the worksheet, your working, relevant class notes, and any calculator or other resources you need. Check that your device and audio are working if possible.

Let’s make that first item more specific.

A useful learning goal describes an action you want to perform, not just a topic you want to cover.

Notice what changes. Each useful goal identifies a particular decision, rule, or step. That makes it easier to explain your thinking and easier for your tutor to identify the gap.

Attempt the question, even if you cannot finish it

An attempted question gives your tutor evidence of how you’re approaching the problem. It can reveal whether the difficulty is understanding the question, selecting a method, applying a rule, handling algebra, or interpreting the result.

For example, suppose you’re working on a physics question involving an object that slows down. You decide its acceleration must be negative because the object is losing speed.

That is a reasonable first guess, but it isn’t always correct. The sign of acceleration depends on your chosen positive direction, not simply on whether the object is speeding up or slowing down.

If you bring that working to your session, your tutor can identify the underlying misconception. If you arrive with only a copied answer, that misconception may remain hidden.

Your attempt does not need to be correct. An incorrect attempt can be particularly useful when you can explain why you made each choice.

If you genuinely cannot start, don’t spend half an hour staring at the page. Write down what the question asks you to find, list any information you recognise, and identify the first decision you cannot make.

Prepare a sentence that locates the problem

A useful way to explain your confusion is:

I understand [this part], and I tried [this method], but I don’t understand [this particular step or decision].

You might say:

• Physics: “I know the initial velocity and acceleration, but I’m unsure which direction to take as positive.”
• Chemistry: “I know how to substitute into the equilibrium expression, but I don’t understand which substances belong in it.”
• Mathematics Extension 1 or 2: “I can differentiate the function, but I don’t see how to use the result to establish the required conclusion.”

You don’t have to use these exact words. The point is to distinguish what you already understand from what you need help with.

If you’re not sure where your understanding breaks down, say that too. Your tutor can help you locate the gap.

02During the session: participate in the reasoning

A small-group session is not a private lesson with extra people sitting in the background. Other students’ questions can help you recognise patterns, compare methods, and test your own understanding.

But you still need to make your own learning visible.

Start by stating your goal and showing your attempt

At the beginning of the relevant discussion, briefly explain what you want to resolve and show your working.

For example:

“I tried using this equation because I know these three quantities, but I’m not sure whether its assumptions apply to this part of the question.”

That gives your tutor a starting point. They can respond to your actual reasoning instead of guessing what you don’t understand.

If you’re attending online, keep the question and your working accessible. You can use a shared screen, an annotation tool, or the chat, depending on what the session supports.

Don’t wait until the end to mention that you’ve been confused since the first step. If you lose track of the explanation, ask for clarification at the point where it happens.

Ask why the method works, not just what to write next

Copying a sequence of steps can get you through one question. Understanding why those steps are appropriate helps you decide what to do when the next question looks different.

Useful questions include:

• “What clue in the question tells us to use this method?”
• “Why is this step valid here?”
• “What assumption are we making?”
• “Would this method still work if one of the conditions changed?”
• “How can I check whether my result makes sense?”

These questions work across all three subjects.

In physics, you might ask why a particular conservation law applies to the system. In chemistry, you might ask why a substance is included in an equilibrium expression. In mathematics, you might ask why a derivative sign establishes that a function is increasing on an interval.

The goal is to understand the decision behind the working.

A particularly useful question is, “What would make this method inappropriate?” It encourages you to identify the limits of a technique, rather than memorising it as a rule that works everywhere.

Use the group discussion without losing your own goal

Suppose another student asks a question about a different kinematics problem. The numbers and situation are unfamiliar, but the tutor explains how to choose a positive direction and assign signs consistently.

That reasoning may apply directly to your own problem.

As you listen, ask yourself: Which part of this explanation connects to my question? Note the relevant principle, then check whether it resolves your uncertainty.

You don’t need to ask a question after every explanation or speak constantly to participate well. Listening carefully, comparing methods, and testing an explanation against your own working are also forms of participation.

At the same time, don’t let your own question disappear. If the discussion moves on before your issue is resolved, use the chat or an appropriate pause to ask whether you can return to the specific step you marked.

The aim is to learn from the group while still leaving the session with a clearer understanding of your own difficulty.

03Record corrections you can actually use

During a useful explanation, it’s tempting to copy every line of working. The problem is that a full transcript doesn’t necessarily help you recognise the same issue next time.

Instead, record the important correction.

For each significant mistake, capture four things:

• My first move: What did I do?
• Why I did it: What assumption or reasoning led me there?
• The correction: What principle or condition did I miss?
• The next-time cue: What should I look for before making that decision again?

Consider the physics example from earlier.

This record is more useful than simply writing down the correct sign. It identifies the reasoning error that caused the mistake and gives you a way to catch it in a future question.

You don’t need to record every minor slip. Prioritise mistakes that reveal a misunderstanding, a repeated habit, or a decision you are likely to face again.

Before moving on from a difficult explanation, try summarising the corrected idea in your own words. If you can’t explain it without reading your notes, you may need to ask one more question.

04After the session: check that you can do it independently

Following an explanation while your tutor works through a question can feel like understanding. Sometimes it is. Sometimes the tutor has made the important decisions for you, so the solution looks much easier than it would have looked on a blank page.

The way to distinguish the two is to try a similar question independently.

Your post-session checklist

• [ ] Summarise the main correction. Write down the principle you learned and the clue that tells you when to use it.
• [ ] Choose a similar question. Use a fresh question that tests the same underlying idea, preferably with a slightly different context or condition.
• [ ] Attempt it with your notes closed. Make your own decisions before looking at a worked solution.
• [ ] Compare your reasoning with the solution. Identify the first step where your approach differs, not just whether the final answer matches.
• [ ] Record any remaining uncertainty. If you get stuck again, write down the exact decision you couldn’t make and bring it to your next session.

A similar question should test the same skill, not merely repeat the same numbers. If you learned to choose an appropriate physics equation, practise that choice in a different problem. If you learned which species belong in an equilibrium expression, write the expression for another reaction. If you learned to classify stationary points, test the method on a different function.

The important part is making the decision yourself before checking the solution.

If you have about 10 minutes available after a session, try this routine:

• Spend 2 minutes writing the main rule from memory.
• Spend 5 minutes attempting a similar question without notes.
• Spend 2 minutes comparing your working with the solution and identifying the first divergence.
• Spend 1 minute recording what you would do differently next time.

If you don’t have 10 minutes immediately afterwards, return to the question later that day or before your next session. A short, focused attempt is more manageable than waiting until you have time for a complete revision session.

For a more detailed approach to checking your work without simply copying it, read How to Learn from Worked Solutions Without Copying Them.

05If your circumstances make preparation harder

Not every student has a quiet room, an uninterrupted afternoon, or enough time to prepare every question. The routine should help you use the session well, not become another task you feel guilty about missing.

If you only have three minutes before the session: Choose one question, attempt its first step, and write one sentence describing where you’re stuck. Skip the tidy notes and lengthy revision.

If you’re uncomfortable speaking in a group: Prepare your question in writing and use the chat if that’s available. You can make a useful contribution without talking the most.

If your internet connection or surroundings make online participation difficult: Keep the question accessible, use written communication where possible, and let your tutor know if a technical issue is making it hard to follow. You don’t need to have a perfect study environment to identify a useful learning goal.

If you understand the explanation but still can’t solve a question alone: Don’t automatically assume the session was unhelpful. You may understand the individual steps but still need practice recognising when to use them. Attempt a fresh question, identify the first decision you can’t make, and take that specific uncertainty back to your tutor.

The routine can be adapted to your circumstances. The essential part is having a question to investigate and following up on what you learn.

06Questions and solutions

Question 1

You have eight minutes before an online HSC tutoring session, and you haven’t attempted the assigned mathematics question. What are the three most useful things to do before joining?

Solution 1

Write one specific learning goal, make a first attempt, and identify the exact point where you get stuck.

First, turn the broad topic into an action, such as “I want to understand how to determine whether a stationary point is a maximum or minimum.” Next, read the question and attempt whatever steps you can. Finally, mark the step you cannot justify or write a sentence explaining your uncertainty.

You don’t need to finish the question in eight minutes. The purpose of preparation is to give the tutor evidence of your thinking, not to complete every assigned task before the session begins.

Question 2

During a chemistry session, you can follow your tutor’s working for an equilibrium calculation, but you cannot decide which species belong in the equilibrium expression when given a new reaction.

What should you ask during the session, and what should you do afterwards to test whether you understand the method?

Solution 2

Ask your tutor to explain the rule for including species in the equilibrium expression, then test that rule on a fresh reaction without notes.

For example, ask why a pure solid is omitted from \(K_c\), rather than merely asking which term to remove. In the usual HSC equilibrium treatment, pure solids and pure liquids are omitted because their activities are treated as constant; the equilibrium expression includes the relevant gaseous and dissolved species.

After the explanation, write the expression for a different equilibrium reaction independently. Only then compare your expression with a reliable solution.

The distinction matters because recognising the correct expression when someone else writes it is not the same as knowing how to construct it yourself. Your follow-up question should test the decision that caused the difficulty, not just your ability to repeat the previous calculation.

Question 3

During a small-group physics session, another student spends ten minutes on a question involving velocity and acceleration. Their question uses a different situation from yours, but you have also been making mistakes with signs.

How should you use their discussion, and what should you do if your own confusion remains unresolved?

Solution 3

Record the sign-convention principle that applies to both questions, then return to your own specific uncertainty if it remains unresolved.

The other student’s question may help you recognise that the sign of a quantity depends on the chosen coordinate direction. That principle can transfer between problems even when the objects, numbers, and motion differ.

However, don’t assume that understanding their solution automatically resolves yours. Compare the principle with your own working and identify whether it explains your particular mistake.

If the gap remains, briefly explain your original attempt and ask the tutor to address the unresolved step when appropriate. This lets you learn from the group without allowing your own learning goal to disappear.

Question 4

In Mathematics Extension 1 or Extension 2, your final answer matches the textbook, but you realise that one step in your method is something you cannot justify. The session is nearly over.

What should you ask your tutor, and what should you record before moving on?

Solution 4

Ask why the step is valid and under what conditions it can be used, then record the missing reasoning rather than simply copying the completed solution.

A matching final answer does not establish that every step was justified. You might have used a valid shortcut without understanding it, or made two errors that happened to cancel.

Ask a question such as, “What allows us to make this step, and would it still be valid if this condition changed?”

Your correction record should identify your original step, the assumption or mathematical rule involved, the condition that makes the step valid, and a cue for recognising that condition in future questions.

If there isn’t enough time to explore the issue fully, write down the unresolved point and revisit it after the session. A clearly recorded uncertainty is more useful than leaving with a method you cannot explain.

Question 5

Assume physics and chemistry are equally likely to appear in your next assessment. You have 12 minutes of tutor time left and 20 minutes available for independent practice afterwards.

You have two unresolved issues:

• In physics, you cannot start a kinematics question, but your notes contain a worked example involving the same decision about which equation to use.
• In chemistry, your \(K_c\) calculation matches the answer key, but you included a pure solid in the equilibrium expression. You have made the same mistake on two earlier questions.

You can investigate only one issue properly with your tutor. Which issue should receive the tutor’s time, what should you ask, and how should you use the 20 minutes afterwards? What evidence would make you change your priority?

Solution 5

Use the tutor’s time to investigate the repeated chemistry misconception, then use your independent practice time to test the chemistry rule and attempt the physics question using your existing worked example as a reference.

The tempting choice is to prioritise physics because the blank question is visibly unfinished. Another tempting choice is to dismiss the chemistry issue because the final answer matches the key.

Neither observation is enough on its own. Under the stated assumptions, the chemistry error has appeared repeatedly, which suggests a broader misunderstanding rather than an isolated arithmetic slip. The correct numerical answer does not validate an equilibrium expression that includes a pure solid.

Ask your tutor to explain which species belong in \(K_c\), why pure solids are omitted, and how the expression would differ if the species were dissolved or gaseous. Then test the explanation on a different heterogeneous equilibrium.

Use the 20 minutes afterwards to address both issues:

• Spend roughly eight minutes writing an equilibrium expression for a fresh reaction without notes, then checking your reasoning.
• Spend the remaining time attempting the physics question independently. Start with a blank page, identify the quantity you need, and compare the known information with the requirements of the available equations. Use your worked example to check your approach after making an initial attempt.

If the physics problem reveals that you cannot apply the equation-selection rule despite having a relevant worked example, record the exact point where your reasoning breaks down. That may indicate a wider gap requiring further help.

The priority would also change if the assessment weighting were different, or if closer investigation showed that the physics difficulty involved a missing prerequisite rather than a single unfamiliar question.

The central decision is to prioritise the issue with the greatest underlying learning need, not simply the one that looks most unfinished. Then use independent practice to test whether the correction transfers to a new problem.

The most useful question to carry into your next study session is not just “Did I get the right answer?” It is “Can I choose the method, explain why it applies, and use it again when the question changes?”