Uvero — STEM Learning

Multi-Step Number Problems

A multi-step problem may require more than one operation; intermediate results must retain their meaning. Translate one relationship at a time and label each subtotal. A careful solution names the quantities, keeps place value or units visible, and explains why each operation fits.

Worked reasoning

Find the total: $18\times24=432$ .
Subtract $157$ : $432-157=275$ .

A school buys 18 boxes of 24 pencils and gives away 157 pencils. How many remain?

Which statement best captures the central mathematical idea in Multi-Step Number Problems?

Translate one relationship at a time and label each subtotal.

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

A memorised formula is valid even when its conditions are not met.

The diagram or notation replaces the need to justify each mathematical step.

When starting a problem about Multi-Step Number Problems, which move is most reliable?

Represent the given information clearly and identify the operation or relationship required for multi-step number problems.

Round every value before identifying the mathematical structure.

Choose the longest available formula and substitute immediately.

Assume the desired conclusion and work backwards without checking equivalence.

Which statement is a misconception that must be rejected when working with Multi-Step Number Problems?

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

Translate one relationship at a time and label each subtotal.

Represent the given information clearly and identify the operation or relationship required for multi-step number problems.

Estimate first, then reverse the operation or use a second representation to check that the answer is reasonable.