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DSE Economics | Market Equilibrium Teacher Prep Guide | Equilibrium price, shortage and surplus in 3 steps

DSE Economics | Market Equilibrium Teacher Prep Guide | Equilibrium price, shortage and surplus in 3 steps

  • 2026-11-04

Students can draw two crossing lines but stop when asked how large the shortage is. This lesson pins three lines down, equilibrium, ceiling and floor, all checked with the same algebra.

Objectives — Students can: (1) compute equilibrium price and quantity from demand and supply functions; (2) compare a control price with the equilibrium and state whether a shortage or surplus appears, with its size; (3) explain in one sentence how the price mechanism restores equilibrium.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Law of demand What happens to quantity demanded when price rises It falls along the same curve
Law of supply What happens to quantity supplied when price rises It rises
Solving equations Set two expressions equal and solve Find P, then substitute back

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-8 min Plot the curves Demand downward, supply upward, quantity on x and price on y Label both axes
8-20 min Solve equilibrium 120 – 2P = 20 + 2P gives P = 25 Solve it themselves
20-32 min Shortage and surplus Below equilibrium is a shortage, above is a surplus; verify with the same algebra Compute one number
32-46 min Price ceiling Ceiling $20: Qd = 80, Qs = 60, shortage 20 Compute it themselves
46-56 min Price floor Floor $30: Qs = 80, Qd = 60, surplus 20 Contrast with the ceiling
56-60 min Exit check Three questions collected and marked Independent work

03 Teaching script (read it out)

Scene 1: Separate a movement along from a shift

A price change moves you along the same demand curve. Income, tastes or the price of a related good shift the whole curve.
Students merge the two constantly, so a price rise is reported as a fall in demand when it is only a fall in quantity demanded.

Students explain: after a cash handout, does the demand curve shift or do we move along it, and is it demand or quantity demanded.

Scene 2: Equilibrium is an equation, not a lucky reading

Set Qd = Qs: 120 – 2P = 20 + 2P, so P = 25 and Q = 70.
Always substitute back into the other equation. That single check catches most arithmetic slips.

Students do: after solving for P, substitute into both equations to confirm the same Q.

Scene 3: Control prices: only binding ones matter

A ceiling below equilibrium ($20 against $25) binds and creates a 20 unit shortage; a floor above equilibrium ($30 against $25) binds and creates a 20 unit surplus.
A ceiling above equilibrium or a floor below it is non-binding, and the market stays at equilibrium.

Students do: fill a 2×2 table of Qd and Qs at both control prices, then decide which one binds.

04 Question types and worked steps

Type Example Steps Answer
Equilibrium Qd = 120 – 2P, Qs = 20 + 2P Set equal, solve P, substitute P = 25, Q = 70
Shortage Ceiling at $20 Qd minus Qs 80 – 60 = 20 units
Surplus Floor at $30 Qs minus Qd 80 – 60 = 20 units
Curve shift Non-price factor changes Decide whether the curve moves Only a shift changes demand
Sanity check (teach this): Substitute back into the other equation: both Q values must match. A ceiling above equilibrium or a floor below it does not bind, so no shortage or surplus should be computed.

05 Independent practice (3 questions)

Question Answer What to watch
Find equilibrium Set Qd = Qs, solve P, substitute Check in both equations
Shortage and surplus Subtract Qs from Qd, or the reverse Shortage is Qd above Qs; surplus is Qs above Qd
Curve shifts Demand against quantity demanded Only non-price factors shift the curve
Policy effect Is the control price binding Compare with equilibrium first

06 Common mistakes and what to say

Mistake Student writes Say this
Swapping shortage and surplus Calls the $20 ceiling a surplus of 20 “A ceiling holds price down, so buyers outnumber sellers. That is a shortage. Which of Qd and Qs is bigger?”
Merging demand with quantity demanded Writes “demand falls” when price rises “Did the curve move? If not, only quantity demanded fell, and saying demand costs marks.”
Computing with a non-binding price Finds a shortage at a $40 ceiling “That ceiling sits above equilibrium, so the market never reaches it. It does nothing.”
Not substituting back Wrong P goes unnoticed “Put it back into the other equation. If the two Q values differ, you already know.”

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
How to find equilibrium Set Qd = Qs and solve for P Saying “read the graph” means act one again
Effect of a ceiling below equilibrium A shortage of 20 units Saying surplus means act three again
Price rises: demand or quantity demanded Quantity demanded, a movement along Saying demand means act one again

09 Tutor FAQ

Must I use algebra?

With functions, yes: it is faster and safer than eyeballing a graph. Pure diagram questions need areas instead.

Which control price causes queues?

The ceiling, because the suppressed price leaves quantity demanded above quantity supplied.

Is the black market price above or below the ceiling?

Above, because buyers bid up when supply is short.

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