Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Adult model
Right side 390+75=465;□=465−245=220. Substitution 245+220=465 and 390+75=465. The box is 220, not 465. Keep each original side intact.
Child direction
Make a puzzle another person can check without guessing what the equals sign means. Pick one route. Show what the numbers mean, try a way, then check one result. You can stop after a useful part.
Common tangle
If 465 is entered in the box; check the roles and equivalent quantities, rather than memorising a printed answer.
Day
58
Different guided practice
For a fictional drawer 620−185=□+240: left 435, unknown 195, check 195+240=435. Invite the learner to compute the known side before undoing the other part.
Check and teach the entry relationship
Check 12+3=10+5 as equal 15, then 12+□=10+5 gives 3. If = means next answer, use two named equal 15 bars and vary one decomposition.
Hook
Make a puzzle another person can check without guessing what the equals sign means.
Materials
Broad paper, labelled place-value/part-whole/number-line alternatives as suitable; optional familiar safe counters; usual communication. No hundreds of loose marks, purchases or physical handling required. Keep adult model and own work separate.
Next ordinary teaching
If 465 is entered in the box, use 20+□=30+7: known side 37, missing 17. Guide 20+17=37; then invite 14+□=20+8 gives 14.
Complete fictional source
An invented display equation is 245+□=390+75. Find the box value and check both sides.
One own invitation
Solve 128+□=200+47 and check the two sides.
Partial curriculum opportunity
-
AC9M4A01
-
AC9M4N06
Purpose
Find an unknown when each side contains a calculation.
Routes
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
Solve 18+□=25+7, preserving both sides.
Entry or access
Represent each entire side as a whole.
Id
A
Title
Small equality puzzle
After own work: adult practice possibility
14; 18+14=32=25+7.
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
Use 245+□=390+75. Create a readable substitution check.
Entry or access
No balance-scale physical claim is needed.
Id
B
Title
Display equation
After own work: adult practice possibility
220; both sides 465.
Access
Show, draw, type, sign, use your usual communication or direct an agreeing helper. Choose quiet/private work, switch a route, pause, pass or finish. One useful part is enough. A helper can read the exact words or scribe your choices; supplying an operation, count, regrouping or reason is mathematical help and is named. No speed, neatness, speech, handling or device requirement.
Complete task
Solve 2000−675=□+486. Show what is known first.
Entry or access
Use a broad labelled two-side diagram.
Id
C
Title
Archive equality
After own work: adult practice possibility
839; 1325=839+486.
Session stages
Instruction
Make a puzzle another person can check without guessing what the equals sign means. Read the source. Ask what the numbers count and the wanted quantity. Check 12+3=10+5 as equal 15, then 12+□=10+5 gives 3. If = means next answer, use two named equal 15 bars and vary one decomposition.
Minutes suggestion
5
Stage
Meet the job
Instruction
Right side 390+75=465;□=465−245=220. Substitution 245+220=465 and 390+75=465. The box is 220, not 465. Keep each original side intact. Show on separate adult paper. Pause after one transformation; invite explanation before showing the next.
Minutes suggestion
10
Stage
Teach one relationship
Instruction
For a fictional drawer 620−185=□+240: left 435, unknown 195, check 195+240=435. Invite the learner to compute the known side before undoing the other part. Offer one complete route below, not all three as a quota. Let the learner select a representation and pause or switch.
Minutes suggestion
15
Stage
Guide then choose
Instruction
Solve 128+□=200+47 and check the two sides. Receive an available response before staff key. If 465 is entered in the box, use 20+□=30+7: known side 37, missing 17. Guide 20+17=37; then invite 14+□=20+8 gives 14.
Minutes suggestion
5
Stage
Receive and choose tomorrow
What to look for
Unknown 119 makes both full sides equal 247; explanation distinguishes box value from whole-side value.
After own work: staff possibility
119; 128+119=247 and 200+47=247.
Status
Proposed 35-minute shape, unpiloted and freely reorderable; resource day not school calendar requirement.
Title
Both sides mean the same amount