Guess-Check-Improve Strategy - Progression Points

Dimension

Level

Progression point

Working mathematically

1.25

• checking of calculations using technology

2.25

• identification of pattern and similarity in data sets and shapes, and use of pattern, often by observing a set of simpler situations, as a problem solving strategy

2.5

• selection of appropriate situations for the use of a guess–check–improve strategy

2.75

• rephrasing of a problem or representing it using a physical model, diagram, list or table as a problem solving strategy

3.0 Standard

… Students use calculators to explore number patterns and check the accuracy of estimations. They use a variety of computer software to create diagrams, shapes, tessellations and to organise and present data.

Structure

3.25

• use of trial and error to find a missing number in a number sentence; for example, 4 × ? + 6 = 22

4.0 Standard

… Students recognise that addition and subtraction, and multiplication and division are inverse operations. They use words and symbols to form simple equations. They solve equations by trial and error.

6.0 Standard

… Students solve equations of the form f(x) = k, where k is a real constant (for example, x(x + 5) = 100) and simultaneous linear equations in two variables (for example, {2x − 3y = −4 and 5x + 6y = 27} using algebraic, numerical (systematic guess, check and refine or bisection) and graphical methods.