LightMySky
En anglais

Writing Algebraic Equations

Express missing number problems algebraically using letters for unknowns; translate word problems into equations

Pas besoin de compte. La progression est enregistrée dans ce navigateur.

Ce que l'enfant saura faire ensuite

  • Write 'I think of a number, double it, and add 5 to get 17' as 2n + 5 = 17
  • Solve a one-step equation such as 3x = 24 and explain the reasoning
  • Express a word problem as an algebraic equation and find the unknown value

1 · Lis

You already know how to write number sentences with a blank, like 5 + □ = 12. In algebra, you swap the blank for a letter, such as n or x. That letter is called a variable, and it stands for the number you are trying to find.

n×22n+52n+5=17
'I think of a number' becomes n. 'Double it' becomes 2n. 'Add 5' becomes 2n + 5. 'To get 17' becomes = 17.
Try it together

Zara says, 'I think of a number, triple it, and subtract 4 to get 11.' Let n be her number. Tripling means multiply by 3, so the equation is 3n - 4 = 11. Add 4 to both sides: 3n = 15. Divide both sides by 3: n = 5.

081624xxx
3x = 24 means three equal jumps of x land on 24. Each jump is 24 ÷ 3 = 8, so x = 8.

To find the unknown, undo what was done to it. Addition undoes subtraction, and division undoes multiplication. Undo the last operation first.

Turn the words into a letter and symbols, then undo each operation to find the unknown number.

Readings 'Turning words into symbols', 'A plan for word problems' and 'Undoing the steps' are original to this dataset. All 9 extra questions are original to this dataset.

2 · Regarde

En anglais

Sans écran

Imprimer une fiche d'exercicesFormat A4, avec une page de corrigés pour les adultes. Sans écran, sans internet.

Où se situe ce sujet

Où cela peut mener

Les métiers qui s'appuient sur cette compétence. En suivre un pour voir tout ce sur quoi il repose.

Puis s'entraîner

17 questions attendent derrière cette leçon, chacune avec sa réponse expliquée. Chaque réponse nourrit le ciel : les étoiles s'allument à mesure qu'elles sont apprises, et pâlissent quand vient le moment de revenir.

Un problème repéré sur cette page ? Le signaler
Writing Algebraic Equations · Mathematics, ages 10 to 11 · LightMySky