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How do you balance an equation?

Students balance simple symbolic equations by changing coefficients (never subscripts), verify by counting atoms, and explain that a balanced equation shows conservation of mass (AC9S9U07, node 4, a hinge node).

Years 9 and 10 Chemistry · Equations and conservation of mass · about 28 minutes · Open the student lesson

Classroom resources

Load these into Waypoints Prepare: choose Load URL and paste the copied address, or download the file and import it. In Prepare, the worksheet's Teacher edition shows the answers; the student copy hides them.

Students will be able to

Timing

Engage and Explore 7 min · Explain 9 min · Practise 8 min · Evaluate 3 min · Wider about 3 min

Before class

A concept tutorial for introducing or revising the idea, after Where do the atoms go? (node 2). Set the width with ?width=minimum, typical (default) or wider.

The hinge errors are systematic: changing subscripts (H₂O to H₂O₂) and miscounting atoms in a coefficient (2 H₂O as 2 hydrogen). The board makes both visible: formulas can't be edited, and every molecule is drawn, so students can count rather than compute.

Board notes: formulas without brackets only; coefficients 1 to 6. The board accepts a balance only with the smallest whole numbers (4 H₂ + 2 O₂ → 4 H₂O balances but is not accepted). Word equations (node 3) and open and closed systems (node 5) are class work; the Wider step is one open-system case.

Running the lesson

  1. Engage: count who chose H₂O₂. Ask them what H₂O₂ is.
  2. Explore: ask what changed in the drawing when they pressed + on H₂O (a whole molecule, two H and one O).
  3. Practise: the three equations are the node's evidence; methane is the hardest, so give the 'atom that appears once' hint aloud.

The hard part (on purpose)

Changing coefficients, never formulas, and counting atoms each time. When a student goes round in circles, ask which element appears in only one substance on each side, and start there.

When students get stuck

What you will seeA question to askThe fix
A student wants to change a subscript.What substance would H₂O₂ be?A different one. Only the number of molecules (coefficient) can change.
A student counts 2 H₂O as 3 atoms.How many molecules is that, and how many atoms in each?Two molecules of three atoms: 4 hydrogen and 2 oxygen.
A student goes round in circles on methane.Which element appears in only one substance on each side?Balance carbon, then hydrogen, then oxygen last (it appears in two products).

Answers to the checks

  1. Engage: water from hydrogen: Hydrogen burns in oxygen to make water: H₂ + O₂ → H₂O. There are 2 oxygen atoms on the left but only 1 on the right. What do you predict fixes it?
    2 H₂ + O₂ → 2 H₂O. Only the numbers in front (coefficients) may change. H₂O₂ is hydrogen peroxide, a different substance, and atoms can't be taken away.
  2. Explore: balance it: Balance the equation with the smallest whole numbers.
  3. Formulas are fixed: Why can't you balance it by changing H₂O to H₂O₂?
    H₂O₂ is a different substance (hydrogen peroxide), not water
    The small numbers (subscripts) say what the substance is. Coefficients say how many molecules there are, which is the only thing you can choose.
  4. Counting atoms: How many hydrogen atoms are in 2 H₂O?
    4
    Each H₂O has 2 hydrogen atoms; two of them have 4.
  5. Oxygen in methane: In CH₄ + 2 O₂ → CO₂ + 2 H₂O, how many oxygen atoms are on the products side?
    4
    CO₂ has 2 oxygen atoms; 2 H₂O have 2 more: 4 in all, matching 2 O₂ on the left.
  6. Conservation of mass: Why does a balanced equation show that mass is conserved?
    The same atoms are on both sides, and each atom keeps its mass
    Same atoms in, same atoms out, so the same total mass.
  7. Methane: Balance the burning of methane: CH₄ + O₂ → CO₂ + H₂O.
  8. Ammonia: Balance the making of ammonia: N₂ + H₂ → NH₃.
  9. Magnesium: Balance magnesium burning: Mg + O₂ → MgO.
  10. Elaborate: the heavier ash: Magnesium ribbon burns in an open crucible, and the white ash weighs more than the ribbon did. Has mass been created?
    No: oxygen atoms from the air joined the magnesium (2 Mg + O₂ → 2 MgO), so the product includes their mass
    In an open system, gases can enter or leave. Weigh everything, including the oxygen used, and the mass is the same before and after.

Stretch and support

Stretch: Balance C₃H₈ + O₂ → CO₂ + H₂O (propane burning).

Support: Give an atom-tally table to fill in for each attempt: element, left, right.

Coach prompt (optional)

For a student who has done the lesson and is still stuck. They paste it into an AI tool your school allows; it asks questions about this lesson's one idea and doesn't give answers. Students see it on the course recap page only through a link ending in ?coach=1: recap with coach prompts.

You are a patient science coach for a Year 9 student in Australia. Help me understand ONE idea only, from the lesson "How do you balance an equation?".

The idea: Balanced symbolic equations — demonstrating conservation of mass: I can write and balance simple symbolic chemical equations and explain why balancing demonstrates the law of conservation of mass.

What understanding looks like:
- Balances a simple symbolic equation by adjusting coefficients (not subscripts)
- Verifies a balanced equation by counting atoms of each element on both sides
- Explains that a balanced equation demonstrates conservation of mass — same atoms, same total mass, on both sides

Mistakes students often make here:
- A student wants to change a subscript.
- A student counts 2 H₂O as 3 atoms.
- A student goes round in circles on methane.

How to coach me (rules from the Waypoints Kit coach):
- Ask me one short question at a time (2 to 4 sentences) and wait for my answer. Never give me the answer before you have heard my thinking, and don't hide the answer inside your question.
- Start in Discover: ask me to explain the idea in my own words, or to predict what happens in a simple example. I can switch any time: "teach it back" (you play a beginner and I explain), "spot the flaw" (you show me an answer with one common mistake and I find it), or "check" (I explain, and you tell me what is solid and what to revisit).
- If I am stuck or say "just tell me", ask what I think first, then give a small hint or a simpler example. Explain only after I have had a real go.
- If I seem to be missing the idea that comes before this one (Word equations — naming reactants and products), check it quickly, then come back.
- Stay in this idea: don't teach later ideas or add extra content. If I ask about something else, say it is for another lesson and bring me back.
- After you help, ask me one reflective question, such as how I know my answer is right or what I would check.
- Praise my effort and method, not my ability.
- You can be wrong: if I rely on something you said, remind me to check it against my notes or the lesson. If you don't know, say so.
- Use simple words.
- Stop when I can explain the idea in my own words and get one new example right. Then tell me to go back to the lesson "How do you balance an equation?".

Exit ticket

Balance: H₂ + Cl₂ → HCl. How do you know it's balanced?

H₂ + Cl₂ → 2 HCl. Two hydrogen and two chlorine atoms on each side.

What each step is for

Where it leads

Before: Where do the atoms go? (node 2). Node 5 (conservation of mass in open and closed systems) is a class task: weigh a reaction in a sealed bag, then open it.

In class: molecular model kits to build both sides of 2 H₂ + O₂ → 2 H₂O.