Pupils follow a balanced course leading to assessment in 4 attainment targets – Using and Applying Maths, Number and Algebra, Shape, Space and Measures and Handling Data. The course is assessed by two 2-hour written examination papers. One paper allows the use of a calculator and one paper does not.
Autumn Term
Standard form
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Write numbers in standard form.
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Write standard form numbers in full.
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Calculate using standard form.
Indices
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Familiarize the ‘language’ of indices.
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Use the rules for x and ÷ index numbers and the rules for zero, negative and fractional indices.
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Solve equations with indices.
Cumulative frequency
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Construct cumulative frequency tables and draw cumulative frequency diagrams.
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Use cumulative frequency diagram to estimate the median and interquartile range and use them to compare distributions.
Histograms
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Construct and interpret histograms.
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Produce a frequency table from a histogram.
Similar shapes
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Identify similar shapes.
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Recall the conditions for similar shapes.
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Calculate the unknown lengths in similar shapes.
Area/Volume of Similar shapes
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Calculate area of similar shapes.
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Calculate volume of similar shapes.
Congruent triangles
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Identify congruent triangles.
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Recall the four conditions for congruent triangles.
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Prove 2 triangles are congruent.
Quadratic Equations
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Solve quadratic equations of the type x2+bx+c=0 by factorisation.
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Explore the properties of quadratic functions by drawing graphs.
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Solve equations by drawing graphs and reading where the graph cuts the x-axis.
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Solve quadratic equations by using the formula.
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Solve quadratic equations by completing the square.
Algebraic fractions
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Simplify algebraic fractions.
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Multiply, divide, add and subtract algebraic fractions.
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Solve equations involving algebraic fractions.
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Solve problems leading to quadratic equations by factorising or using the quadratic formula.
Spring Term
Pythagoras’ theorem/ Trigonometry
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Use information given to write down the sine, cosine and tangent of an angle.
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Use information given to find angles using the appropriate ratio.
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Use information given to find the lengths of sides in a right angled triangle.
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Find angles of elevation and depression using the appropriate ratio.
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Apply trigonometrical ratios and Pythagoras to solve assorted problems.
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Apply the rule of Pythagoras in 3D.
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Visualise appropriate triangles in diagrams in 3D.
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Solve problems using Trig. in right angled triangles in 3D.
Sine Rule, Cosine Rule and area of a triangle
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Use the Sin rule to solve problems in 2D.
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Use the Cosine rule to solve problems in 2D.
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Solve problems using the sin rule and cosine rule in 3D.
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Calculate bearings using sin rule / cosine rule.
Trigonometric functions and equations
Recognise and sketch
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y = sin x
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y = cos x
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y = tan x
for 180o < x < 360o
Solve trig. equations graphically and using the method of ‘4 quadrants’
Arc and Sector of a Circle
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To find the arc length of a sector of a circle.
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To find the sector area of a circle.
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To find the radius / angle given the arc length / sector area of a circle.
Rates of change/ Area under a curve
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Calculate gradients of curves.
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Find rates of change on
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a) distance – time graphs
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b) velocity – time graphs
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Find area under graphs on
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a) velocity-time graphs
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b) acceleration – time graphs
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Summer Term
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Past papers
In order to help your child progress in Mathematics you could:
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Ensure they have a geometry set and a scientific calculator with them for all lessons.
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Practice mental arithmetic.
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Encourage your child to explain how they are completing a set task..
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Play an active role in ensuring that your child is regularly accessing the website www.mymaths.co.uk which is used for all homework tasks and contains a vast amount of materials to support and enhance your child’s learning.
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Whenever possible try to make your child aware of the mathematics involved in real life e.g. Utility bills, salaries, bank accounts, credit card and loans.