
Ready-to-teach resources for negative numbers and integer operations, built for Years 5 to 10. Use the number line, real-world contexts like temperature, elevation and bank balances, and structured practice across the four operations to help every student move from concrete to abstract with confidence.
Curriculum-aligned coverage of negative numbers and integers, from first introduction on the number line through to fluent operations with positives and negatives. Lessons map to the topics teachers cover across upper primary and middle school: ordering integers, absolute value, the four operations, and substitution into expressions.
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Real-world contexts that make the rules click. Temperature drops, elevations below sea level, deposits and withdrawals, gains and losses – each example gives students a reason for the rules, not just a procedure to memorise. Pair them with number-line work to build a strong mental model before formal notation.
Extension prompts that push students toward algebraic fluency: substituting negative values into expressions, plotting points in all four quadrants of the coordinate plane, and solving equations where the unknown takes a negative value.

Differentiated tasks for mixed-ability classrooms. Use number-line and counters work for students who need a concrete entry point, integer-only worksheets for fluency practice, and multi-step problems for students ready to substitute negatives into expressions, equations and coordinate geometry.
Targeted practice questions across adding, subtracting, multiplying and dividing with negative numbers, with worked examples that surface the common errors – sign mistakes, the “two negatives make a positive” shortcut, and confusion between subtraction and negative signs.
Real-world problem sets covering temperature change, elevation, sea level, profit and loss, and net change. Each set asks students to model the situation on a number line first, then translate it into an integer calculation – so the meaning stays attached to the answer.
- You in approximately four minutes
Foundations: The Number Line and the Meaning of Negative Numbers
Operations With Integers: Add, Subtract, Multiply and Divide
Applying Negative Numbers in Algebra and the Coordinate Plane
The first set of resources introduces negative numbers through the number line and real-world contexts most students already know – temperatures below zero, elevations below sea level, and money owed. Lessons move students from describing situations in words to ordering integers, identifying opposites, and using absolute value. Visual number-line activities and counters work give students a concrete model to fall back on, which becomes essential the moment formal operations begin.
The next set of resources builds fluency across the four operations with positive and negative integers. Worked examples surface the sign rules and the common student errors, and structured practice progresses from one-step calculations to multi-step expressions involving brackets and order of operations. Real-world problems on temperature change, profit and loss, and net change keep meaning attached to the procedures, so students can self-check whether an answer makes sense in context.
The final set of resources connects integer work to the algebra and coordinate geometry students meet later in middle school. Activities include substituting negative values into expressions and formulae, plotting points across all four quadrants of the coordinate plane, and solving simple equations with negative solutions. The progression prepares students for linear functions, gradient, and the integer arithmetic they will rely on throughout secondary mathematics.