Measures and Mensuration

Year 7
Year 8
Year 9
Year 10
Year 11
Extension
Choose and use units of measurement to measure, estimate, calculate and solve problems in everyday contexts; convert one metric unit to another, e.g. grams to kilograms; read and interpret scales on a range of measuring instruments. Choose and use units of measurement to measure, estimate, calculate and solve problems in a range of contexts; know rough metric equivalents of imperial measures in common use, such as miles, pounds (lb) and pints.

Conversion table Excel

Solve problems involving measurements in a variety of contexts; convert between area measures (e.g. mm2 to cm2, cm2 to m2, and vice versa) and between volume measures (e.g. mm3 to cm3, cm3 to m3, and vice versa). Understand and use measures of speed (and other compound measures such as density or pressure); solve problems involving constant or average rates of change.

My music In or out?

Apply knowledge that measurements given to the nearest whole unit may be inaccurate by up to one half of the unit in either direction and use this to understand how errors can be compounded in calculations. Recognise limitations in the accuracy of measurements and judge the proportional effect on solutions.
Distinguish between and estimate the size of acute, obtuse and reflex angles.

Estimating angles

Estimation golf

Use bearings to specify direction.

Bearings using Google Earth

Bearings

       
    Interpret and explore combining measures into rates of change in everyday contexts (e.g. km per hour, pence per metre); use compound measures to compare in real-life contexts (e.g. travel graphs and value for money), using ICT as appropriate.      
Know and use the formula for the area of a rectangle; calculate the perimeter and area of shapes made from rectangles.

Area and perimeter of rectangles Excel

Derive and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes.

Finding the area of a triangle using GSP Area of triangle GSP

Know and use the formulae for the circumference and area of a circle.

Ratio of circumference to diameter of a circle

Solve problems involving lengths of circular arcs and areas of sectors.

Penny Farthing GSP or Geogebra

Understand and use the formulae for the length of a circular arc and area and perimeter of a sector.  
Calculate the surface area of cubes and cuboids. Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids. Calculate the surface area and volume of right prisms.

Designing a fishtank using google sketchup

Solve problems involving surface areas and volumes of cylinders. Solve problems involving surface areas and volumes of cylinders, pyramids, cones and spheres. Solve problems involving more complex shapes and solids, including segments of circles and frustums of cones.
Consider the dimensions of a formula and begin to recognise the difference between formulae for perimeter, area and volume in simple contexts. Understand the difference between formulae for perimeter, area and volume by considering dimensions.