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⚖️ Primary Maths & Science Games · Grade 5 · Simple equations

Equation Balance: Do the Same to Both Sides

Local Calculation · Private

Solving an equation is keeping a balance level: whatever you do to one side, you do to the other. The usual slips are changing only one side and dividing before subtracting. Here, changing one side tips the balance at once.

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How to play

  1. In Explore, put x boxes and weights on the pans; the balance tips by the real weights. Set how heavy x is, or peek inside the boxes.
  2. Use “Do it to both sides”: take the same off both or share both sides equally and it stays level. Take something off one side only and it tips.
  3. Five levels: is it an equation? → x + a = b → ax = b → ax + b = c → pick the equation for a word problem, then solve it.
  4. Each step asks what you subtract from or divide both sides by, and ends with a check.

Curriculum unit

Primary maths, grade 5: letters for numbers, what an equation is, properties of equality, solving simple equations and word problems (PEP textbook, grade 5 volume 1, unit 5).

For parents and teachers

Mistakes are grouped as what an equation is, subtracting from both sides, dividing both sides, which comes first, using the wrong inverse, and writing the equation. If x + 5 = 12 gives 17, your child is still adding whenever they see +. Let them take weights off one pan only and watch it tip.

FAQ

What is an equation?
An equality that contains an unknown. x + 5 = 12 is an equation; 5 + 7 = 12 has no unknown and x + 5 > 12 is not an equality, so neither is an equation.
What are the properties of equality?
Add or subtract the same number on both sides, or multiply or divide both sides by the same non-zero number, and the two sides stay equal, just like a balance that stays level.
In 3x + 6 = 21, what comes first?
Subtract 6 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5. Check: 3 × 5 + 6 = 21.