Uvero — STEM Learning

Solving Pattern Questions

A direct term rule lets us determine whether a value occurs and at which position. Set $T_n$ equal to the target and require a positive integer term number. At Grade 10, fluent symbolic work must stay connected to graphs, tables, diagrams and real quantities.

Worked reasoning

Solve $6n-2=70$ .
$6n=72$ , so $n=12$ .

For $T_n=6n-2$ , at which term does 70 occur?

Which statement best captures the central mathematical idea in Solving Pattern Questions?

Set $T_n$ equal to the target and require a positive integer term number.

A memorised rule may be used without checking signs, domains, units, graph family or geometric hypotheses.

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 Solving Pattern Questions, which move is most reliable?

Identify the mathematical family, list the given quantities and state the domain or geometric conditions for solving pattern questions.

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 Solving Pattern Questions?

A memorised rule may be used without checking signs, domains, units, graph family or geometric hypotheses.

Set $T_n$ equal to the target and require a positive integer term number.

Identify the mathematical family, list the given quantities and state the domain or geometric conditions for solving pattern questions.

Use substitution, a second representation or a magnitude estimate to verify the result.