Operations with integers and rational numbers

Calculate -7 + 12 - 5.

Evaluate (-3) × 8 ÷ (-4).

Calculate 2/3 + 5/6 and simplify.

A student writes -4² = 16 without brackets. Explain the issue.

Write the rule or formula most useful for Operations with integers and rational numbers.

Show how to check one answer using estimation, substitution or inverse operations.

Write one common mistake students make in Operations with integers and rational numbers and correct it.

Create a small table, diagram or equation that represents this topic.

State where units, exact form or rounding matter in this topic.

Write one exam-style short question on Operations with integers and rational numbers and solve it.

Solve a bank account problem starting at -$18, adding $45, then spending $62. Interpret the result.

Evaluate -2.5 + 3/4 × 8 and explain the order of operations.

Solve a multi-step problem involving Operations with integers and rational numbers and explain every step clearly.

Create a realistic word problem for Operations with integers and rational numbers, solve it and interpret the answer.

Compare two methods for a problem in Operations with integers and rational numbers and explain which is more efficient.

Write a worked solution that includes a check for reasonableness.

Create a problem with a deliberate trap, then solve it correctly and explain the trap.

Use a diagram, table, graph or equation to model a situation involving Operations with integers and rational numbers.

Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

Write a full-mark response to a challenging Operations with integers and rational numbers question, including reasoning and final answer.