Making Better Estimates - Progression Points

Dimension

Level

Progression Point

Working Mathematically

1.0 Standard

… Students make rough estimates and check their work with respect to computations and constructions in Number, Space, and Measurement, chance and data.

1.25

• Use and justification of approximations
• Checking of calculations using technology

1.5

• Verification of estimation of a solution to a number sentence

1.75

• Search for alternative methods in order to verify answers

2.0 Standard

… Students use a four-function calculator, including use of the constant addition function and × key, to check the accuracy of mental and written estimations and approximations and solutions to simple number sentences and equations.

2.25

• Checking of accuracy of calculations with a calculator

2.5

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

3.0 Standard

… Students use calculators to explore number patterns and check the accuracy of estimations.

Number

3.0 Standard

… Students estimate the results of computations and recognise whether these are likely to be over-estimates or under-estimates.

3.25

• Use of large number multiples of ten to approximate common quantities; for example, 100 000 people in a major sports venue

3.5

• Addition, subtraction and multiplication of fractions and decimals (to one decimal place) using approximations such as whole number estimates and technology to confirm accuracy

4.0 Standard

… Students use estimates for computations and apply criteria to determine if estimates are reasonable or not.