Given the coordinates of points A and B, find the mid-point of the line segment AB.

Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons).

Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes made from rectangles and triangles.

Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids.

Core:

Use units of measurement to calculate, estimate, measure and solve problems in a variety of contexts; convert between area measures (mm2 to cm2, cm2 to m2, and vice versa) and between volume measures (mm3 to cm3, cm3 to m3, and vice versa).

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

Calculate the surface area and volume of right prisms.

Extension:

Find points that divide a line in a given ratio, using the properties of similar triangles; given the coordinates of points A and B, calculate the length of AB.

Recognise that measurements given to the nearest whole unit may be inaccurate by up to one half of the unit in either direction.

Understand and use measures of speed (and other compound measures such as density or pressure) to solve problems; solve problems involving constant or average rates of change.

Know and use the formulae for length of arcs and area of sectors of circles.

Calculate lengths, areas and volumes in right prisms, including cylinders.

## Objectives:

Support:Deduce and use formulae for the area of a triangle, parallelogramand trapezium; calculate areas of compound shapes made from rectangles and triangles.Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboidsand shapes made from cuboids.Core:Know and use the formulae for the circumference and area of a circle.Extension:Understand and use measures of speed (and other compound measures such as density or pressure) to solve problems;solve problems involving constant or average rates of change.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT TARGET

CORE## Framework:

## Teaching & Learning Resources:

3D Shapes Resources

Co-ordinates Resources

Reading Scales Resources

Metric Measures Resources

Imperial Measures Resources

Mulitpliers Resources

Circles Resources

Area Resources

Volume Resources