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PEAZIT Aha card

Equals is not an instruction to write the answer next. It states that the left and right sides have the same value.

Different expressions can describe the same amount.

7 + 2 = 6 + 3Both sides contain calculations.
9 = 9Both sides equal nine, so the statement is true.
7 + 2 − 2 = 6 + 3 − 2Subtracting two from both sides lowers both values to seven.

Watch out: The chain 2 + 3 = 5 + 4 = 9 is false: the first expression is 5, the middle one is 9. Use separate calculations.

Goal, prerequisites and card origin

What you will learn: Fill a missing number when calculations appear on both sides.

What you need first: Addition and subtraction.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

Show connections

Equations preserve balance

Equality of both sides — represents equal values in — 2x + 2 = 8

2x + 2 = 8 — remove the same amount from both sides — Subtract 2 from both sides

Subtract 2 from both sides — after subtraction 2x = 6 remains — Divide both sides into halves

Divide both sides into halves — one of two equal groups gives — Solution x = 3

Solution x = 3 — check by substitution: 2·3 + 2 = 8 — 2x + 2 = 8

Equals is not an instruction to write the answer next. It states that the left and right sides have the same value.

Without JavaScript, write your answer elsewhere before opening the solution.Fill the gap: 8 + 4 = ? + 5.

Solution — open after your own attempt

7 The left side is 12. The right already has 5, so the missing number is 12 − 5 = 7.

A question for your next return: Fill the gap: 15 = 6 + ?.

Solution — open after your own attempt

9 Equality works either way round. Find 15 − 6 = 9.

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