Measurement, chance and data – Measuring area: 2.75

Dimension

Level

Progression Points

Measurement, chance and data

1.0 Standard

… Students compare area of familiar objects using descriptive terms.

They make measurements using informal units such as handprints for area.

1.50

• Informal measurement of area and mass by making, describing and comparing personal units

2.0 Standard

… Students make, describe and compare measurements of area using informal units.

They recognise the differences between non-uniform measures and uniform measures.

2.25

• Use of formal units of measurement; for example, metres to measure length, and hour, minute and second for time
• Application of estimations using personal units, such as pace length and arm span, and comparison with measures using formal units, such as metres and centimetres

2.75

• Calculation of area through multiplication of the length of a rectangle by its width

3.0 Standard

… Students estimate and measure length, area, volume, capacity, mass and time using appropriate instruments.

They recognise and use different units of measurement including informal (for example, paces), formal (for example, centimetres) and standard metric measures (for example, metre) in appropriate contexts.

They read linear scales (for example, tape measures) and circular scales (for example, bathroom scales) in measurement contexts.

3.5

• Estimation and measurement of surface area; for example, use of square metres, and area of land; for example, use of hectares

4.0 Standard

… Students use metric units to estimate and measure length, perimeter, area, surface area, mass, volume, capacity time and temperature.

4.25

• Development and use of formulas for the area and perimeter of triangles and parallelograms

4.5

• Use of appropriate units and measurement of length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature, in context
• Calculation of total surface area of prisms, including cylinders, by considering their nets

5.0 Standard

… Students measure length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature using suitable units for these measurements in context.

They interpret and use measurement formulas for the area and perimeter of circles, triangles and parallelograms and simple composite shapes.

They calculate the surface area and volume of prisms and cylinders.

They estimate the accuracy of measurements and give suitable lower and upper bounds for measurement values.

6.0 Standard

… Students estimate and measure length, area, surface area, mass, volume, capacity and angle.

They select and use appropriate units, converting between units as required.

Number

2.75

• Representation of multiplication as a rectangular array and as the area of a rectangle

3.0 Standard

… Students provide automatic recall of multiplication facts up to 10 × 10.

They devise and use written methods for:

• multiplication by single digits (using recall of multiplication tables) and multiples and powers of ten (for example, 5 × 100, 5 × 70 )

3.25

• Multiplication of fractions by fractions through use of the rectangle area model (grid)

3.75

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