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England · England Mathematics · Key Stage 3

Use the 4 operations applied to integers, decimals, proper and…

Use the 4 operations applied to integers, decimals, proper and improper fractions and mixed numbers, all both positive and negative (addition and subtraction of integers in this unit).

The National curriculum in England: mathematics programmes of study, Key Stages 1–3 outcome (Number) for Key Stage 3 says: “Use the 4 operations applied to integers, decimals, proper and improper fractions and mixed numbers, all both positive and negative (addition and subtraction of integers in this unit).” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: National curriculum in England: mathematics programmes of study, Key Stages 1–3.

Below Zero: Integers in the Real World Grades 6–7 · partly supports this outcome

How cold can ice get? Is the bottom of the ocean further from sea level than the top of Everest? How did a town warm up 27 degrees in two minutes? Can a lemonade stand that sold $64 end up in the red? Four lessons on integers with real temperatures, elevations and money.

  • How much did the temperature change? 50–60 min

    Teams play a temperature-swing dice game on a thermometer number line and model each move with two-colour counters, then work out real record swings, including a town where the temperature rose 27 degrees in two minutes. Students add and subtract integers, explain zero pairs, and discover why subtracting a negative number makes the answer bigger.

  • Are we in the red? 50–60 min

    Teams keep the books for a class lemonade stand, tracking every purchase, sale, fee and refund as a positive or negative integer. They find that a stand that took in $64 still ended $3 in the red, then plan how to break even. Students add and subtract integers in a real context, including subtracting a negative, and explain a balance with zero pairs.

More England Key Stage 3 math outcomes we teach

Every England Key Stage 3 math curriculum outcome we teach

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