Number • Integers · Stretch and explain

Choose your jumps

Start at 0 and reach 8 in exactly four jumps. Each jump can be +2, +5 or −1, and you can’t go below 0. Show three different routes. The order matters.

Give it a go

Try ideas with the activity tools, draw your thinking, or explain it in words. There may be more than one useful response. This activity does not save or submit your work.

What this explores

Integer operations and ordered paths. Check intermediate landings as well as the final total. Routes may use repeated jump sizes; reversing the order can create an invalid negative landing.

A starting nudge

Choose a set of four jumps, then try changing their order. Check every landing point.

Take it further

Find a set of jumps for which one ordering works and another does not.

For teachers

Ask students to compare strategies and explain what makes their response valid. These difficulty bands are provisional, not verified curriculum or year-level alignments.

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