FSMQ Level 2 Shape and Space scheme of work
Before starting this Higher (Level 2) FSMQ students should be able to:
 measure lengths in and understand common metric and imperial units (millimetres, centimetres, metres, inches, feet)
 be able to use a protractor to measure angles
 understand basic ideas of area and volume including use of correct units such as cm^{2 }and cm^{3}
 be able to interpret drawings including the use of basic plans and elevations drawn to scale.
A suggested work scheme showing topic areas and methods to be covered is given below. This recommends a total of 60 guided learning hours that could be used in a variety of ways, such as 2 hours per week for 30 weeks, 4 hours per week for 15 weeks, or 5 hours per week for 12 weeks. Although the topic areas are listed separately below, it would be beneficial at times to use a variety of skills within a piece of work. For example the Nuffield resource ‘Costing the Job’ involves taking measurements from scaled drawings as well as finding areas and working out the cost of painting a house.
Some terms and techniques should be introduced as soon as possible and used throughout the course. These include:
 geometrical terms: parallel, perpendicular, bisect, perpendicular bisector, midpoint, horizontal, vertical, line segment, line, similarity, congruence, regular, irregular, polygons (triangles including obtuseangled, acuteangled, rightangled, equilateral, isosceles and scalene, quadrilaterals including rectangle, square, parallelogram, rhombus, trapezium and kite, pentagon, hexagon, octagon), circle (including circumference, arc and sector), cuboids, prisms (including triangular), cylinders, spheres and hemispheres, cones.
 using appropriate instruments (including ruler, tape measure, protractor) to take measurements to appropriate levels of accuracy with appropriate units and correct notation
 using a calculator effectively and efficiently (including memory facilities)  includes finding percentages and fractions
 checking calculations using estimation, inverse operations and alternative methods.
Note that the AMP resources in the list below were not written especially for this FSMQ and may include some topics that are not in the FSMQ specification.
Note that the assessment of this AQA FSMQ is by examination only and you should disregard any references to Coursework Portfolio requirements in the assignments which have not been updated. These are included for possible use as classroom activities but will not form part of the assessment of this FSMQ.
Topic area 
Content 
Nuffield resources The links below go to pages from which you can download the resources, some recently revised. 
Plans and elevations

Identify and sketch objects from plans and elevations. Sketch plans and elevations of objects. Include sufficient dimensional information to allow drawings to be correctly interpreted. 
Points of view 
Measure lengths and calculate using scales 
Measure lengths using appropriate tools and degrees of accuracy. Use scale drawings to solve problems, deciding on the correct arithmetic to use (including addition, subtraction, multiplication, division of lengths). 
Paper sizes (AMP) 
Plans 

Ratios 

Draw scale diagrams 
Draw plans and elevations of 3dimensional situations using scales such as 2:5, 1:150, 10:1, 2 to 5, 1/3 (such as plans of rooms or elevations of front of buildings). Use dashed lines to show hidden detail and shading for crosssections. Include the use of a ruler and setsquare to draw parallel and perpendicular lines where appropriate. 
Emergency shelter (AMP) 
Topic area 
Content 
Nuffield resources The links below go to pages from which you can download the resources, some recently revised. 
Convert measurements 
Convert within and between metric and imperial systems, including inches, feet, yards, miles. Include the use of conversion factors and formulae (such as = 3.28 for converting metres to feet). Solve problems by carrying out calculations with measurements. 
Convert lengths 
Convert it! 

Plane shapes 
Recognise and classify plane shapes. Irregular and regular polygons with special cases (e.g. rectangles, squares, parallelograms, trapezia, rhombi, kites as special quadrilaterals). Know and use internal and external angle sums of triangles, quadrilaterals and other polygons. Solve problems involving angle calculations. Understand and use ideas of tessellation.

Drawing Shapes in Word 
Make your own shapes in Word 

Tessellations in Word 

Tessellation shapes 

What am I? 

Shape sorter 

Constructions 
Use a ruler and compasses only to construct:
Use ruler, compasses and protractor to construct: 
Pentagon construction 
Topic area 
Content 
Nuffield resources The links below go to pages from which you can download the resources, some recently revised. 
Perimeters, areas, surface areas and volumes

Calculate (in both metric and imperial units), using formulae in words and symbols and the button on a calculator or the approximate value 3.14 (to 2 decimal places): · circumference of circle from · arc length for fractions of a circle · area of circle from · area of sector of a circle · perimeters and areas of rectangles, triangles, parallelograms, trapezia and composite shapes · surface areas and volumes of cuboids, prisms (including triangular), cylinders, spheres, hemispheres, cones and composite shapes (not frustums) Recognise that a measurement expressed to a given unit has a maximum error of half a unit and calculate upper and lower bounds to problems involving addition, subtraction and multiplication of lengths. Use formulae together with known values to find one unknown length. 
How much will it cost
Costing the job 
Volume 

Errors 

Design a table (AMP) 

Symmetry and transformations 
Recognise, visualise, specify and transform shapes by means of: Recognise and classify reflection and rotational symmetry in both 2D and 3D, using lines and planes of symmetry and defining the order and centre of rotation. Understand ideas of similarity in terms of enlargement and scale factors. For two similar shapes, use ratio to find the lengths of unknown sides. Calculate for a given length scale factor (including fractional scale factors), the effect on area and volume and vice versa.

Crop circle geometry 
Suncatchers 

Symmetry (AMP)


Victorian tiles 

Symmetry in Word 

Pythagoras' Theorem 
Solve problems in two dimensions using c^{2} = a^{2} + b^{2} to calculate unknown lengths. 
Pythagoras 
Topic area 
Content 
Nuffield resources The links below go to pages from which you can download the resources, some recently revised. 
Design and/or make models 
Construct models from information given on diagrams or sketches. (Omit this section if short of time.) 
Money bags (AMP) 


Revision 
Revise topics and try past papers. Discuss data sheet – make up and try questions based on it. 

Page last updated on 22 March 2012