Year 11 Chemistry Module 3 ⏱ ~35 min Lesson 12 of 12

Factors Affecting Reaction Rate

The catalytic converter in a car uses platinum and palladium to convert toxic exhaust gases into harmless ones — without a catalyst, those reactions would require temperatures so high the car would melt.

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Think First

A brand-new car’s catalytic converter works within about 30 seconds of starting the engine. But in the first 30 seconds before it warms up, the car emits far more toxic gases — carbon monoxide, nitrogen oxides, and unburned hydrocarbons — than it does once the catalyst is active.

Here is the puzzle: the catalyst is physically present in the exhaust system from the moment you start the car. Why does it not work immediately? And once it starts working, what exactly is it doing to the exhaust gases — and why does it never need to be refuelled or replaced with a new chemical supply? Write your predictions before reading on.

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Key Concepts — This Lesson

$\text{Rate} \propto \text{effective collision frequency}$
All four factors affect rate by changing either collision frequency or the proportion of collisions that are effective
$T\uparrow \;\Rightarrow\; \text{M-B curve shifts right} \;\Rightarrow\; \text{more particles exceed }E_a \;\Rightarrow\; \text{rate}\uparrow$
Approximation: rate roughly doubles per 10°C increase near room temperature (reaction-dependent)
Catalyst: $E_a\downarrow$ via alternative pathway $\Rightarrow$ more particles exceed $E_a$ at same $T$ $\Rightarrow$ rate$\uparrow$ $\Rightarrow$ $\Delta H$ unchanged
Catalyst is not consumed — regenerated at end of each catalytic cycle
Know
  • The four factors that affect reaction rate: temperature, concentration, surface area, catalysts
  • The distinction between homogeneous and heterogeneous catalysts
  • The key reactions catalysed in a catalytic converter and the cold-start problem
Understand
  • Why increasing temperature shifts the Maxwell-Boltzmann curve to higher energies and increases the proportion of particles exceeding Eₐ
  • Why a catalyst lowers activation energy without changing ΔH
  • How concentration and surface area increase collision frequency without affecting particle energy
Can Do
  • Explain each rate factor using collision theory language
  • Describe and draw the effect of temperature and catalysts on Maxwell-Boltzmann and energy diagrams
  • Predict and explain rate changes in experimental contexts
Key Terms — scan these before reading
Concentration effectThe amount of solute present in a given quantity of solution or solvent.
Synthesis reactionA reaction where two or more reactants combine to form a single product.
Decomposition reactionA reaction where a single compound breaks down into simpler substances.
Precipitation reactionA reaction in which an insoluble solid forms when two solutions are mixed.
Combustion reactionA rapid reaction with oxygen producing heat, light and oxides.
Redox reactionA reaction involving electron transfer between chemical species.

1. Temperature and the Maxwell-Boltzmann Distribution

Not all particles in a sample move at the same speed — they have a spread of kinetic energies, and only the particles at the high-energy tail of this distribution can undergo effective collisions.

The Maxwell-Boltzmann distribution is a graph showing the number of particles plotted against their kinetic energy for a sample at a given temperature. Key features:

  • Starts at zero (no particles have zero energy)
  • Rises to a peak (the most probable energy)
  • Falls as a long tail toward higher energies (a small number of particles have very high energies)

The activation energy (Eₐ) is marked as a vertical line on the energy axis. Only particles to the right of this line have sufficient energy for an effective collision.

Effect of increasing temperature from T₁ to T₂ (T₂ > T₁):

  • The peak of the distribution shifts to the right (higher average energy)
  • The peak height decreases (same number of particles, now spread over a wider energy range)
  • The tail extends further to the right
  • The area to the right of Eₐ increases significantly — a much larger proportion of particles now exceed the activation energy
  • The total area under the curve remains the same — the number of particles has not changed
E Number of particles T₁ T₂ Eₐ T₁ T₂ Total area under each curve is equal (same number of particles)
HSC Must-Do: When asked to describe the effect of temperature using an energy distribution diagram, address three things: (1) the curve shifts to higher energies; (2) the proportion of particles exceeding Eₐ increases; (3) effective collision frequency and reaction rate increase. All three are required for full marks.
Common Error: Many students draw the T₂ curve higher than T₁. This is wrong. At higher temperature, the peak is lower and broader, shifted to the right. The area under both curves must be equal — a higher peak at T₂ would imply more particles exist at higher temperature, which is incorrect.
Insight: This is why the “10°C rule” works — for many reactions near room temperature, raising the temperature by 10°C roughly doubles the fraction of particles in the high-energy tail beyond Eₐ. The exact factor depends on Eₐ, but this approximation holds well for biological systems — which is why fever accelerates metabolic reactions.
Drag T₂ slider to see curve shift · move Eₐ to see % of particles that can react · observe shaded tail areas Interactive

2. Concentration and Surface Area

Concentration and surface area both affect reaction rate through the same mechanism: they change how frequently reactant particles encounter each other, without changing the energy requirements for an effective collision.

Concentration effect: Increasing the concentration of a dissolved reactant means more solute particles are present per unit volume. With more particles per unit volume, the average distance between reactant particles decreases and they collide more frequently. Since the proportion of collisions that are effective (those exceeding Eₐ) is unchanged, the increased collision frequency directly increases effective collisions per second → reaction rate increases.

Surface area effect: For reactions involving a solid reactant (heterogeneous reactions), only the particles on the surface of the solid are available to collide with particles in solution or in the gas phase. Increasing surface area — by grinding into smaller particles — exposes more solid particles to collisions with the other reactant. Collision frequency at the reaction interface increases; proportion of effective collisions is unchanged.

VariableMechanismEffect on Collision FrequencyEffect on Proportion Exceeding Eₐ
Increase concentrationMore particles per unit volumeIncreasesNo change
Decrease concentrationFewer particles per unit volumeDecreasesNo change
Increase surface areaMore solid surface exposedIncreases (at interface)No change
Decrease surface areaLess solid surface exposedDecreases (at interface)No change
HSC Must-Do: Surface area only applies to heterogeneous reactions — those involving a solid reactant. For reactions entirely in solution (homogeneous), surface area is not a relevant variable. Always identify whether the reaction is heterogeneous before invoking surface area in your answer.
Common Error: Students say increasing concentration increases the energy of the particles. It does not — concentration has no effect on the kinetic energy distribution of the particles. It only affects how frequently they collide. Energy effects are the domain of temperature and catalysts.

3. Catalysts — Homogeneous and Heterogeneous

A catalyst is a substance that increases the rate of a chemical reaction without being consumed in the overall reaction. Catalysts work by providing an alternative reaction pathway with a lower activation energy than the uncatalysed pathway. With a lower Eₐ, a greater proportion of the Maxwell-Boltzmann distribution exceeds the activation energy at the same temperature → more effective collisions per second → reaction rate increases.

Critically: a catalyst does not change the enthalpy change (ΔH) of the reaction — the reactants and products are identical, so the energy difference between them is unchanged. The catalyst only lowers the height of the energy barrier, not the starting or finishing energy levels.

Catalysts are classified by their physical state relative to the reactants:

Homogeneous Catalyst
Same phase as reactants
Forms intermediate in solution
H⁺(aq) in ester hydrolysis
Must be separated from products
Pharmaceutical synthesis
Heterogeneous Catalyst
Different phase from reactants
Surface adsorption and reaction
Pt(s) in catalytic converter
Physically separate — easily recovered
Catalytic converters, Haber process
HSC Must-Do: When explaining how a catalyst works, always state three things: (1) it provides an alternative reaction pathway; (2) with a lower activation energy; (3) it is not consumed in the overall reaction. All three are required for full marks.
Common Error: Students say catalysts “give energy to the particles” or “heat up the reaction.” Catalysts do not add energy — they lower the energy barrier. The particles do not need as much energy to react — the threshold is lowered, not the particle energies raised. This is fundamentally different from the temperature effect.
Adjust Eₐ and catalyst strength · ΔH remains constant · switch exothermic/endothermic · observe alternative pathway Interactive

4. Energy Distribution Diagrams with Catalysts

Adding a catalyst to an energy distribution diagram shifts the activation energy line to the left — more of the existing particle distribution is now above the threshold, without changing the distribution itself.

The effect of a catalyst is distinct from the effect of temperature:

  • Temperature changes the distribution of particle energies (shifts the curve right)
  • Catalyst changes the activation energy threshold (shifts Eₐ to the left)

In both cases, more particles can undergo effective collisions — but the mechanism is different.

E Number of particles T₁ (unchanged) Eₐ(cat) Eₐ(uncat) larger area smaller area Curve unchanged — only the Eₐ threshold moves left

On a reaction progress (energy) diagram, both the uncatalysed and catalysed pathways have the same reactant and product energy levels. Only the transition state peak height is lower in the catalysed pathway. Therefore ΔH is identical in both pathways.

HSC Must-Do: HSC questions frequently ask you to show the effect of a catalyst on both a Maxwell-Boltzmann distribution diagram AND a reaction progress (energy) diagram. On the Maxwell-Boltzmann move the Eₐ line left (curve unchanged). On the reaction progress lower the peak height (reactant and product levels unchanged).
Common Error: Students shift the Maxwell-Boltzmann curve when showing a catalyst effect — drawing the curve moved to the right as if temperature had increased. This is wrong. The catalyst lowers Eₐ (moves the threshold line), not the curve. Only temperature shifts the curve.

5. Catalytic Converters — Heterogeneous Catalysis in Action

A car’s internal combustion engine produces three major toxic exhaust components:

  • Carbon monoxide (CO) — from incomplete combustion
  • Unburned hydrocarbons (CₓHₕ) — from incomplete combustion
  • Nitrogen oxides (NOₓ) — formed when N₂ and O₂ from air react at the high temperatures inside the engine

A catalytic converter contains a ceramic honeycomb structure coated with platinum (Pt) and palladium (Pd) — heterogeneous catalysts. Three key reactions are catalysed on the surface:

Balanced Equation
2CO(g) + O₂(g) → 2CO₂(g)
CₓHₕ(g) + O₂(g) → CO₂(g) + H₂O(g)
2NO(g) → N₂(g) + O₂(g)
Toxic → Harmless
CO → CO₂
CₓHₕ → CO₂, H₂O
NO → N₂

Mechanism of heterogeneous catalysis: Exhaust gas molecules adsorb onto the platinum surface (adsorption), react on the surface (surface reaction), then desorb as products (desorption). The platinum surface is regenerated at the end of each catalytic cycle — it is not consumed.

The cold-start problem: The converter does not work at startup because the platinum catalyst requires a minimum operating temperature (approximately 300–400°C) before it can adsorb and activate exhaust gas molecules effectively. In the first 30–90 seconds, the converter is too cold — this cold-start period is when most vehicle emissions occur.

HSC Must-Do: Ensure you can balance 2NO → N₂ + O₂ correctly. Left: 2N, 2O. Right: 2N, 2O. ✓ Balanced as written. Be ready to explain the cold-start problem — adsorption requires the catalyst surface to reach operating temperature, not for the catalyst to be “produced” or “activated chemically.”
Common Error: Students say the catalyst is consumed in the catalytic converter. It is not — platinum is regenerated at the end of each cycle. Catalytic converter failure is caused by poisoning (lead, sulfur, or phosphorus compounds coating the platinum surface and blocking active sites), not by the platinum being consumed.
Step through adsorption → surface reaction → desorption · toggle cold-start to see why converters fail at low temperature Interactive
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Worked Example 1 — Explaining Rate Factors Using Collision Theory

Problem: A student investigates the rate of the reaction between zinc powder and dilute hydrochloric acid. They conduct four experiments, changing one variable at a time from the control condition (zinc powder, 1.0 mol/L HCl, 25°C, no catalyst).

  • Experiment 1: zinc granules (instead of powder)
  • Experiment 2: 2.0 mol/L HCl
  • Experiment 3: temperature increased to 45°C
  • Experiment 4: a drop of copper(II) sulfate solution added (acts as a catalyst by depositing copper on the zinc surface)

For each experiment, predict whether the rate increases, decreases, or stays the same, and explain using collision theory.

Step 1 — Exp 1: zinc granules

Granules have a smaller surface area than powder. Fewer zinc surface particles are exposed to HCl molecules. Collision frequency at the zinc surface decreases. Fewer effective collisions per second.

Rate decreases.

Step 2 — Exp 2: 2.0 mol/L HCl

Higher concentration means more H⁺ ions per unit volume. Collision frequency between H⁺ and zinc particles increases. Proportion of effective collisions is unchanged (Eₐ is unchanged by concentration). More effective collisions per second.

Rate increases.

Step 3 — Exp 3: 45°C

Higher temperature increases the average kinetic energy of all particles. The Maxwell-Boltzmann distribution shifts right — a greater proportion of particles exceed Eₐ. More effective collisions per second even at the same collision frequency. A 20°C increase near room temperature approximately doubles the rate.

Rate increases significantly.

Step 4 — Exp 4: copper catalyst

Copper deposited on the zinc surface provides an alternative reaction pathway with a lower activation energy. A greater proportion of collisions now exceed the (lower) Eₐ at 25°C. More effective collisions per second. The catalyst is not consumed — copper is regenerated.

Rate increases.

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Activity 1 — Predicting Rate Changes

For each change below, predict the effect on the rate of the reaction: Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g). Justify each answer using collision theory in 1–2 sentences.

  1. Magnesium ribbon is replaced with magnesium powder.
  2. The HCl concentration is reduced from 2.0 mol/L to 0.5 mol/L.
  3. The temperature is increased from 20°C to 50°C.
  4. A small amount of platinum catalyst is added.

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Worked Example 2 — Maxwell-Boltzmann Diagram Analysis

Problem: A reaction has an activation energy of 60 kJ/mol. (a) Describe the fraction of particles that can undergo effective collisions at temperature T₁. (b) Describe how the diagram changes when temperature is increased to T₂. (c) Describe how the diagram changes when a catalyst is added at temperature T₁ instead. (d) Explain why the catalyst increases reaction rate without changing ΔH.

Step 1 — Part (a): Fraction at T₁

At T₁, the Eₐ line is at 60 kJ/mol on the x-axis. The fraction of particles with energy ≥ Eₐ is the area under the Maxwell-Boltzmann curve to the right of this line. For most reactions at room temperature, this is a small fraction of the total particle population.

Step 2 — Part (b): Effect of raising T to T₂

At T₂ (T₂ > T₁): the distribution curve shifts to the right and becomes lower and broader. The total area is unchanged (same number of particles). The peak moves to higher energy. The area to the right of the Eₐ line (60 kJ/mol) is now significantly larger — a greater proportion of particles exceed Eₐ. The Eₐ line itself does not move — it is a fixed property of the reaction.

Step 3 — Part (c): Effect of adding a catalyst at T₁

With catalyst at T₁: the Maxwell-Boltzmann distribution curve is unchanged (same temperature, same particle energies). A new Eₐ line is drawn to the left of the original at a lower energy value (e.g. 40 kJ/mol). The area to the right of this new (lower) Eₐ line is larger than the area to the right of the original Eₐ. More particles now exceed the activation energy threshold at the same temperature.

Step 4 — Part (d): Why ΔH is unchanged

The catalyst provides an alternative reaction pathway — a different sequence of bond-breaking and bond-forming steps — that reaches the same products from the same reactants but via a lower-energy transition state. Because the reactants and products are chemically identical in both the catalysed and uncatalysed pathways, the energy difference between them (ΔH) is unchanged. The catalyst only lowers the barrier height, not the starting or finishing energy levels.

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Activity 2 — Diagram Description

Without drawing, describe in words what you would see on a Maxwell-Boltzmann energy distribution diagram if you showed:

  1. The effect of increasing temperature from T₁ to T₂ on the curve and on the shaded area beyond Eₐ.
  2. The effect of adding a catalyst at constant temperature T₁ (describe what changes and what stays the same).
  3. Why the total shaded area beyond the catalysed Eₐ is larger than the shaded area beyond the uncatalysed Eₐ on a diagram with only one temperature curve.

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Revisit Your Initial Thinking

Look back at what you wrote in the Think First section. What has changed? What did you get right? What surprised you?

Misconceptions to Fix

Wrong: Increasing temperature increases reaction rate because molecules collide more frequently.

Right: While collision frequency does increase slightly with temperature, the main reason reaction rate increases is that a much larger proportion of molecules exceed the activation energy. The Maxwell-Boltzmann distribution shifts — more molecules have sufficient energy for effective collisions.

MC

Multiple Choice

5 random questions from a replayable lesson bank — feedback shown immediately

Short Answer Questions

Q8. A reaction vessel contains a gaseous reaction at temperature T₁. Explain, using a Maxwell-Boltzmann energy distribution diagram, how increasing the temperature to T₂ increases the rate of the reaction. In your answer, describe: (a) the change in the distribution curve; (b) the change in the proportion of particles that can react; (c) the resulting change in effective collision frequency. (5 marks)

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Q9. Compare homogeneous and heterogeneous catalysts. In your response: (a) define each type with a named example; (b) explain the mechanism by which a heterogeneous catalyst operates; (c) explain why a heterogeneous catalyst is generally preferred in large-scale industrial processes. (5 marks)

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Q10. A car’s catalytic converter is in perfect working order. (a) Write a balanced equation for the catalytic oxidation of carbon monoxide in the converter. (b) Explain, using your knowledge of heterogeneous catalysis, why the converter does not reduce CO emissions in the first 30 seconds after the car is started. (c) Predict and explain the effect on CO emissions if the catalytic converter is damaged and its platinum surface is coated with lead compounds. (5 marks)

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MC Feedback

Q1 C: Increasing temperature shifts the distribution to higher energies (right shift), lowers and broadens the peak, but the total area under the curve is constant — the same number of particles exist at both temperatures. Option B incorrectly states area increases. Option A describes a decrease in temperature. Option D incorrectly states temperature changes Eₐ — activation energy is a fixed property of the reaction, not affected by temperature.

Q2 B: A heterogeneous catalyst is in a different phase from the reactants (e.g. solid Pt catalysing gas-phase reactions). It operates by adsorbing reactant molecules onto its surface, facilitating the reaction, then releasing products. Option A is wrong — catalysts are not consumed. Option C is wrong — catalysts do not change ΔH. Option D is wrong — catalysts lower Eₐ, not raise it.

Q3 C: Heterogeneous catalysis requires reactant molecules to adsorb onto the catalyst surface and be activated. Below approximately 300–400°C, the platinum surface cannot effectively adsorb and activate CO and O₂ molecules — the catalytic cycle cannot begin. Option A is factually wrong — Pt is always present. Option B describes permanent poisoning, which does not occur from CO alone at low temperatures. Option D is incorrect — CO and O₂ enter the exhaust regardless of temperature.

Q4 C: Surface area determines the number of solid particles exposed to the other reactant. Powder has a greater surface area than granules of the same mass → more zinc atoms are accessible to H⁺ ions → higher collision frequency at the interface → higher rate. The zinc atoms in both forms have the same kinetic energy and the same activation energy threshold (options A and D are incorrect). Concentration (option B) refers to dissolved species, not solid amounts.

Q5 B: Catalysts lower the activation energy by providing an alternative pathway with a lower-energy transition state. They do not add thermal energy to the system. The Maxwell-Boltzmann distribution (particle energies) is unchanged; only the threshold (Eₐ) is lowered. This is mechanistically distinct from the temperature effect, which raises particle energies without changing Eₐ.

Q6 C: Temperature and catalyst effects both increase the proportion of effective collisions, but by different mechanisms. Temperature shifts the energy distribution rightward (more particles at high energy, same Eₐ). A catalyst lowers Eₐ (same distribution, lower threshold). Option A is wrong because catalysts do not shift the curve. Option B is wrong because temperature does not lower Eₐ. Option D is wrong — temperature does not change ΔH.

Q7 B: Adding a heterogeneous catalyst lowers Eₐ (more effective collisions at same temperature, ΔH unchanged) and increasing the partial pressure of gas-phase reactants increases concentration (higher collision frequency). Together these both increase rate without changing temperature or ΔH. Option A is partly wrong — decreasing pressure reduces concentration and rate. Option C violates the constraint of not changing temperature. Option D reduces rate.

Short Answer Guides

Q8: (a) The Maxwell-Boltzmann curve shifts to higher kinetic energy values (rightward shift). The peak of the curve decreases in height and becomes broader. The total area under the curve is unchanged — the same number of particles exists at both temperatures. (b) The activation energy Eₐ line (fixed at the same energy value) now intersects the curve further to the left on the T₂ curve. The area to the right of Eₐ is significantly larger for T₂ — a greater proportion of particles now have kinetic energy greater than or equal to Eₐ and can undergo effective collisions. (c) With a greater proportion of particles exceeding Eₐ per unit time, the frequency of effective collisions increases. More product is formed per second → reaction rate increases.

Q9: (a) Homogeneous catalyst: in the same phase as the reactants. Example: H⁺(aq) ions catalysing ester hydrolysis in aqueous solution — catalyst and reactants all in the aqueous phase. Heterogeneous catalyst: in a different phase from the reactants. Example: solid platinum (Pt) catalysing gas-phase reactions in a catalytic converter. (b) Mechanism of heterogeneous catalysis: reactant molecules (gas or liquid phase) adsorb onto the solid catalyst surface, becoming bound at active sites. The adsorbed molecules react on the surface (surface reaction), then desorb as product molecules. The catalyst surface is regenerated and not consumed. (c) Industrial preference: heterogeneous catalysts are physically separate from the reactant and product phases (solid catalyst in a gas or liquid stream), making them easy to recover, reuse, and replace without contaminating the product. Homogeneous catalysts require a separation step (e.g. distillation or extraction) to remove them from the product mixture.

Q10: (a) 2CO(g) + O₂(g) → 2CO₂(g). (b) At startup, the platinum surface is below its operating temperature (~300–400°C). Heterogeneous catalysis requires reactant gas molecules to adsorb onto the platinum surface and be activated at active sites. At low temperatures, CO and O₂ molecules do not have sufficient energy to adsorb effectively onto the platinum surface — the adsorption step cannot proceed, so the catalytic cycle does not begin. CO passes through the converter unreacted, increasing emissions. Once the converter reaches operating temperature, adsorption proceeds and catalysis begins. (c) Lead compounds (catalyst poisons) physically coat the platinum surface and block the active sites — the specific sites on the platinum surface where adsorption and reaction occur. With active sites blocked, CO and O₂ molecules cannot adsorb onto the surface and the catalytic cycle cannot proceed. CO emissions will increase significantly, as the converter can no longer oxidise CO to CO₂. The effect is analogous to the cold-start problem but permanent — heating the converter will not regenerate the poisoned surface.

Interactive: Rate Factor Explorer
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Speed Race

Factors Affecting Reaction Rate

Answer questions on Factors Affecting Reaction Rate before your opponents cross the line. Fast answers = faster car. Pool: lessons 1–12.

Revisit Your Thinking

Earlier you were asked: A brand-new car’s catalytic converter works within about 30 seconds of starting the engine. But in the first 30 seconds before it warms up, the car emits far more toxic gases than it does once the catalyst is active. Why does it not work immediately? And what exactly is it doing to the exhaust gases — and why does it never need to be refuelled?

The key insight: a catalyst speeds up a reaction by providing an alternative reaction pathway with a lower activation energy. But the catalyst itself must be in the correct physical and chemical state to do this. A catalytic converter only works once it reaches its operating temperature (~300–400°C). This is because heterogeneous catalysis requires reactant molecules to adsorb onto the platinum surface. At low temperatures, CO and O₂ molecules do not stick to the surface strongly enough for the catalytic reaction to occur. Once hot, the Pt surface activates the reactants, the activation energy is lowered, and the exhaust gases are converted to less harmful products. The catalyst is not consumed in the reaction — it is regenerated at the end of each catalytic cycle — which is why it never needs refuelling.

Now revisit your initial response. What did you get right? What has changed in your thinking?

Look back at your initial response in your book. Annotate it with what you now understand differently.

📝 Record your prediction in your workbook