KS18.104.22.168 develop their skills of estimating and measuring; recognise limitations on the accuracy of data and measurement, leading to awareness of the upper and lower bounds of numerical solutions; select an appropriate degree of accuracy.
KS22.214.171.124 understand general algebraic statements; make and test generalisations; recognise particular examples of a general statement
KS126.96.36.199 interpret and draw inferences from mathematical information presented in a variety of forms, including graphs, diagrams and statistics; recognise that some conclusions and graphical representations of data can be misleading; examine critically, improve and justify their choice of mathematical presentation
KS188.8.131.52 explain, follow and compare lines of mathematical argument; make conjectures and hypotheses, design methods to test them, and analyse results to see whether they are valid; appreciate the difference between mathematical explanation and experimental evidence; use increasingly more rigorous argument, leading to notions of proof; understand the conditions under which generalisations, inferences and solutions to problems remain valid
KS184.108.40.206 evaluate results by relating them to the initial question or problem; develop an understanding of the reliability of results; recognise that inferences drawn from data analysis may suggest the need for further investigation.
KS4.2 Pupils develop their mathematical skills, knowledge and understanding through learning about and using Number, Measures and money, Algebra, Shape, position and movement, and Handling data. They should use a variety of ICT resources as tools whenever appropriate.
KS220.127.116.11 Understand number and number notation
KS18.104.22.168.a extend their knowledge of the number system, including the distinction between rational and irrational numbers
KS22.214.171.124.h calculate lengths, angles, perimeters, areas and volumes associated with common shapes, progressing to more complex plane shapes and solids, including sectors, cylinders, cones and spheres; use the relationships between similar figures and solids
KS126.96.36.199.i distinguish between formulae by considering dimensions
KS188.8.131.52 Understand and use money
KS184.108.40.206.a understand and use the conventional way of recording money
KS220.127.116.11.b calculate with money and solve problems related to budgeting, saving and spending, including currency exchange rates, profit and loss, discount, hire purchase, best buys, household bills and compound interest
KS18.104.22.168.f form, manipulate and solve linear equations and inequalities, linear simultaneous equations, quadratic and simple cubic equations, including trial-and-improvement methods where appropriate; solve equations and inequalities by algebraic and graphical methods, selecting the most appropriate method for the problem concerned
KS22.214.171.124.h construct tangents to curves and interpret their gradients; interpret the meaning of the area under a graph; apply these to the solution of numerical and statistical problems, and those involving distance-time and velocity-time graphs.
KS4.2.4 Shape, position and movement
KS126.96.36.199 Understand and use the properties of shapes
KS188.8.131.52.a explore properties of shapes through drawing and practical work; construct 2-D and 3-D shapes from given information
KS184.108.40.206.g extend their understanding of trigonometry to angles of any size, the graphs and behaviour of trigonometric functions, and the application of these to the solution of problems in two dimensions, using the sine and cosine rules
KS220.127.116.11 Understand and use the properties of position and movement
KS18.104.22.168.a use line and rotational symmetries to solve problems in two and three dimensions
KS22.214.171.124.c construct appropriate diagrams and graphs to represent discrete and continuous data, including bar charts, line graphs, pie charts, frequency polygons, scatter diagrams, lines of best fit, cumulative frequency diagrams and histograms
KS126.96.36.199.b recognise situations where probabilities can be based on equally likely outcomes and others where estimates must be based on experimental evidence; calculate and make these estimates as appropriate, using relative frequency over a number of trials as an estimate of probability
KS188.8.131.52.d recognise the conditions for the addition of probabilities for mutually exclusive events, and the multiplication of probabilities for two independent events, and make the appropriate calculations when these conditions apply