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Lesson pack · IGCSE Chemistry 0620 · 3.1 · IGCSE

Formulae and equations

Balance the charges, then the atoms. A formula tells you which atoms are in a substance and in what ratio.

Student lesson Lab, full screen
At a glance

The shape of the lesson

Topic
Stoichiometry
Syllabus reference
Cambridge IGCSE Chemistry 0620, 3.1
Level
IGCSE
Duration
45 minutes, lab-led; stretches to a 60 minute block (see the contingency notes)
Position in topic
Lesson 1 of 6 in Stoichiometry; leads into Relative masses
Central model
Fig. 1: the charges cancel to fix the formula of aluminium oxide
Cooperative structure
Assessment
Stage 1 check and the exam-style plenary from the student lesson, plus the worksheet as the exit task
Learning objectives

By the end of the lesson, learners can

Section by section
  • Formulae from models and charges: A model or diagram of a molecule lets you count the atoms directly.
  • Word equations to symbol equations: Write the word equation, replace each name with its correct formula, then balance by changing only the numbers in front.
  • Ionic equations and lattices: Extended content.
Key points to leave on the board
  • Ionic formula: total positive charge = total negative charge.
  • Brackets round a group such as OH− or NH4+ when there is more than one.
  • Balance with the numbers in front only; count O atoms last in combustion.
  • Ionic equation (Extended): leave out spectator ions; atoms and charges must both balance.
The core visual model

One picture every idea returns to

In an ionic compound the total positive charge equals the total negative charge, so Al3+ and O2− combine 2 : 3 as Al2O3. A balanced symbol equation has the same number of each type of atom on both sides. Balance it by changing only the big numbers in front of formulae, never the small numbers inside them. State symbols show the state of each substance: (s) solid, (l) liquid, (g) gas, (aq) dissolved in water.

Al³⁺Al³⁺ O²⁻O²⁻O²⁻ 2 × (+3) = +6 3 × (−2) = −6 + total charge 0, so the formula is Al₂O₃
Fig. 1: the charges cancel to fix the formula of aluminium oxide
Lesson sequence

Forty-five minutes, phase by phase

TimePhaseWhat happens in the roomGrouping
0 to 5 minHook: predictOpen with the question in the title, Balance the charges, then the atoms.. A formula tells you which atoms are in a substance and in what ratio. Put the figure on the board: it is the one picture every idea in the lesson returns to.Whole class, then pairs
5 to 13 minTeach and check: Formulae from models and chargesA model or diagram of a molecule lets you count the atoms directly.Whole class, then pairs
13 to 21 minTeach and check: Word equations to symbol equationsWrite the word equation, replace each name with its correct formula, then balance by changing only the numbers in front.Pairs
21 to 30 minTeach and check: Ionic equations and latticesExtended content.Rally Robin
30 to 36 minCheckThe four Stage 1 questions from the student lesson, answered on mini whiteboards or by show of fingers. Re-teach the one most get wrong.Individual, then whole class
36 to 43 minPlenaryThe exam-style questions from Stage 2, one at a time: thirty seconds alone, then a random call. The feedback lines in the key give the examiner's wording.Individual, random call
43 to 45 minExit and homeworkSet the worksheet below (6 questions, 16 marks). Learners self-assess against the objectives before they leave.Individual
Timing and contingency

Protect the parts that carry the learning

The sequence carries about fifty minutes of material, so the lab is driven by one student while the class predicts rather than explored freely. Times are a guide.

Protected: the check at 30 minutes. It is the only individual read on whether the key idea landed, and it is not cut.

Cut first if the build overruns: the last check in Ionic equations and lattices, never the check or the plenary.

In a 60 minute block: run worksheet questions 1 to 3 in class as a Rally Coach set and model both the hardest worked example and its check live.

Running the cooperative task

Rally Robin

Pairs take turns to say one item each, back and forth: a definition, a unit, a step of the method. Keep it fast and oral; the point is retrieval, not writing.

The full structure, with its variations and the other twelve, is on the cooperative-learning page.

Examiner traps to pre-empt

What to head off, and how

Trap learners fall intoTeaching move that pre-empts it
Never balance an equation by changing a small number inside a formula.Writing H 2 O 2 to make H 2 + O 2 → H 2 O balance turns water into hydrogen peroxide, a different substance. Change only the numbers in front: 2H 2 + O 2 → 2H 2 O.
Worksheet

Formulae and equations: worksheet

6 questions, 16 marks. Written in the style of the papers; no past paper question is reproduced.

NameClassDate
Q1 · recall[4 marks]

Write the formulae of (a) calcium hydroxide, (b) ammonium sulfate, (c) aluminium oxide, (d) sodium carbonate.

Q2 · calculation[2 marks]

Balance these equations: (a) Fe + Cl2 → FeCl3, (b) Na + H2O → NaOH + H2.

Q3 · recall[3 marks]

Methane burns completely in oxygen to form carbon dioxide and water. Write the word equation, then the balanced symbol equation with state symbols.

Q4 · recall[2 marks]

Extended. Write the ionic equation, with state symbols, for the neutralisation of dilute hydrochloric acid by aqueous sodium hydroxide, and name the spectator ions.

Q5 · analysis[3 marks]

Extended. Magnesium reacts with dilute hydrochloric acid to form magnesium chloride solution and hydrogen. Write the balanced symbol equation with state symbols, then the ionic equation.

Q6 · explain[2 marks]

A student balances H2 + O2 → H2O by writing H2 + O2 → H2O2. Explain why this is wrong and give the correct equation.

Answer key and marking notes
Q1 · 4 marks
  • (a) Ca2+ and OH−: Ca(OH)2.
  • (b) NH4+ and SO42−: (NH4)2SO4.
  • (c) Al3+ and O2−: Al2O3.
  • (d) Na+ and CO32−: Na2CO3.
Q2 · 2 marks
  • (a) 2Fe + 3Cl2 → 2FeCl3 (2 Fe and 6 Cl on each side).
  • (b) 2Na + 2H2O → 2NaOH + H2 (2 Na, 4 H and 2 O on each side).
Q3 · 3 marks
  • methane + oxygen → carbon dioxide + water.
  • CH4 + 2O2 → CO2 + 2H2O (1 C, 4 H and 4 O on each side).
  • State symbols: CH4(g) + 2O2(g) → CO2(g) + 2H2O(l).
Q4 · 2 marks
  • H+(aq) + OH−(aq) → H2O(l).
  • The spectator ions are Na+ and Cl−.
Q5 · 3 marks
  • Mg(s) + 2HCl(aq) → MgCl2(aq) + H2(g).
  • Cl− is a spectator ion, so it is left out.
  • Mg(s) + 2H+(aq) → Mg2+(aq) + H2(g). Charge: +2 on each side.
Q6 · 2 marks
  • Changing the small number changes the substance: H2O2 is hydrogen peroxide, not water. Only the numbers in front may be changed.
  • 2H2 + O2 → 2H2O.
Quiz

8 multiple-choice questions on this lesson

From the topic question bank. Assign them in the app for a marked score in your gradebook, or run the topic as a class game.

Q11 mark

Iron(III) sulfate contains Fe3+ and SO42− ions. What is its formula?

  • AFe2(SO4)3
  • BFe3(SO4)2
  • CFeSO4
  • DFe(SO4)3
Q21 mark

How many atoms in total are shown in one formula unit of ammonium phosphate, (NH4)3PO4?

  • A20
  • B10
  • C18
  • D12
Q31 mark

The diagram shows a model of one molecule. What is its molecular formula?

carbon oxygen hydrogen
  • AC2H6O
  • BC2H5O
  • CCH6O
  • DC3H6
Q41 mark

Propane burns completely: C3H8 + bO2 → 3CO2 + 4H2O. What is the value of b?

  • A5
  • B10
  • C7
  • D4
Q51 mark

Lumps of calcium carbonate are added to dilute hydrochloric acid. Which equation has the correct state symbols?

  • ACaCO3(s) + 2HCl(aq) → CaCl2(aq) + H2O(l) + CO2(g)
  • BCaCO3(s) + 2HCl(l) → CaCl2(aq) + H2O(l) + CO2(g)
  • CCaCO3(s) + 2HCl(aq) → CaCl2(s) + H2O(l) + CO2(g)
  • DCaCO3(aq) + 2HCl(aq) → CaCl2(aq) + H2O(aq) + CO2(g)
Q61 mark

Which equation is not balanced?

  • A2Al + 3O2 → 2Al2O3
  • BN2 + 3H2 → 2NH3
  • C2Na + Cl2 → 2NaCl
  • DCaCO3 → CaO + CO2
Q71 mark

Aluminium (forms Al3+) reacts with dilute hydrochloric acid to give aluminium chloride and hydrogen. Which is the correct balanced equation?

  • A2Al + 6HCl → 2AlCl3 + 3H2
  • BAl + 3HCl → AlCl3 + H2
  • CAl + 2HCl → AlCl2 + H2
  • D2Al + 6HCl → 2AlCl3 + 6H2
Q81 mark

Aqueous sodium hydroxide is added to aqueous copper(II) sulfate and a blue precipitate of copper(II) hydroxide forms. What is the ionic equation?

  • ACu2+(aq) + 2OH−(aq) → Cu(OH)2(s)
  • BCu2+(aq) + OH−(aq) → Cu(OH)2(s)
  • CCu2+(aq) + 2OH−(aq) → Cu(OH)2(aq)
  • D2Na+(aq) + SO42−(aq) → Na2SO4(s)
Quiz key
Q1: A

2 × (+3) = +6 and 3 × (−2) = −6, so two Fe3+ ions balance three SO42− ions: Fe2(SO4)3. Fe3(SO4)2 swaps the numbers the wrong way (+9 and −4). FeSO4 is iron(II) sulfate, and Fe(SO4)3 has +3 against −6.

Q2: A

The bracket holds 1 N and 4 H, and the 3 multiplies both: 3 N and 12 H. Add 1 P and 4 O: 3 + 12 + 1 + 4 = 20. Ignoring the 3 gives 10; multiplying only the H gives 1 + 12 + 1 + 4 = 18; multiplying only the N gives 3 + 4 + 1 + 4 = 12.

Q3: A

There are 2 grey carbon atoms, 1 red oxygen atom and 6 blue hydrogen atoms (3 on the first carbon, 2 on the second and 1 on the oxygen), so the formula is C2H6O (this is ethanol). C2H5O misses the hydrogen on the oxygen, CH6O counts only one carbon, and C3H6 counts the oxygen atom as a carbon.

Q4: A

Right-hand side: 3CO2 has 6 O atoms and 4H2O has 4 O atoms, 10 in total. Each O2 supplies 2 atoms, so b = 10 ÷ 2 = 5. 10 is the number of O atoms, not O2 molecules. 7 adds the numbers of product molecules (3 + 4), forgetting that CO2 has two O atoms.

Q5: A

Calcium carbonate lumps are solid (s). Dilute hydrochloric acid is hydrogen chloride dissolved in water (aq), not a pure liquid (l). Calcium chloride is soluble, so it stays dissolved (aq), not (s). Water is a pure liquid (l), and carbon dioxide fizzes off as a gas (g). The last option wrongly treats insoluble calcium carbonate and water as (aq).

Q6: A

In 2Al + 3O2 → 2Al2O3 the oxygen balances (6 and 6), but there are 2 Al on the left and 4 on the right; it should be 4Al + 3O2 → 2Al2O3. The other three balance: 2 N and 6 H each side; 2 Na and 2 Cl each side; 1 Ca, 1 C and 3 O each side.

Q7: A

Al3+ needs three Cl−, so the product is AlCl3. In 2Al + 6HCl → 2AlCl3 + 3H2 there are 2 Al, 6 H and 6 Cl on each side. Al + 3HCl → AlCl3 + H2 has 3 H on the left but 2 on the right. Al + 2HCl → AlCl2 + H2 balances but uses the wrong formula. 6H2 gives 12 H on the right against 6 on the left.

Q8: A

Na+ and SO42− stay in solution as spectator ions, so they are left out. One Cu2+ joins with two OH− (charge +2 − 2 = 0) to form the precipitate, which is a solid (s). With only one OH− the equation does not balance; (aq) is wrong for a precipitate; and sodium sulfate is soluble, so it does not precipitate.

Slides

Slides for this lesson

A projectable deck for every pack is on the way. Until then, present the student lesson full screen: its sections, figure and lab tabs follow the same order as the plan above.

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Original work by the TheLucidSTEM team. The worksheet items are written in the style of the papers; no past paper question is reproduced.