MathGrade 7ages 12–13
🧮 What equals what
A child solving x + 7 = 12 will often subtract 7 from the left side and stop there, leaving the right side untouched — and the equation broken.
Try this lesson freeNo card needed. The first lesson is free.
Download on the App StoreWhat your child learns
- The two sides of an equation are equal in value.
- Whatever is done to one side is done to the other, or the equality breaks.
- Undo operations in the reverse order to the one they were done in, like taking shoes off after socks.
- The answer is checked by putting it back in.
The mistake most kids make here
Doing something to one side and forgetting the other.
Try one question
x plus 7 equals 12. What is the first move?
x plus 7 equals 12
- take 7 off both sides
- take 7 off one side
- add 7 to both sides
Answer
take 7 off both sides — That's it. The sides stay equal and x is left alone.
How Maya teaches it
Your child tells Maya what they did in class. She teaches this topic at her desk, asks questions with tappable answers, and when the answer is wrong she explains why that answer was tempting instead of saying “try again”. She remembers what did not land and comes back to it.
Your child has it when they can: Say what you do to both sides to get the unknown on its own.
How to help at home
The mistake is usually not arithmetic — it's forgetting that an equation is a balance, not a single expression to simplify. If a kitchen scale is around, this is worth acting out physically.
Put a small object of unknown weight plus a 7-unit weight on one side of a scale, and 12 units on the other, so the two sides balance. Ask: "if I take 7 off this side, what do I have to do to the other side to keep it level?"
When your child changes only one side of a written equation, say: "the two sides have to stay equal, like the scale — if you take something off one side, take the same thing off the other, or it tips." Point back to the physical scale if you have one.
A sign they've got it: after solving for x, they substitute the answer back into the original equation and check that both sides come out the same, without being asked to.
Questions parents ask
- Why does my child forget to do the same thing to both sides?
- It's easy to focus on isolating the letter and lose track that the equation is a statement about two equal amounts, not just an expression to shrink. A physical balance makes the "both sides" rule visible instead of abstract.
- What's a simple way to explain solving for x?
- Frame it as undoing steps in reverse order — if 7 was added last, subtract 7 first, and do it to both sides so the balance holds, like taking shoes off after socks.
- How can I tell if my child actually understands, or just got lucky?
- Ask them to check their answer by substituting it back into the original equation. If both sides come out equal, they've verified it themselves rather than guessing.
- How does Maya teach simple equations?
- Maya frames each equation as a balance and asks what has to happen to both sides at once, then has the child check the answer by substituting it back in.
No card needed. The first lesson is free.
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