#### Year 10

#### Maths Higher

#### KS4

#### Modules

#### Content

#### Homework

#### Parent / Carer Support

Sept

Sept/Oct

Oct

Nov-Dec

Dec

Jan-Feb

Feb

Mar

Mar

Apr

May

Jun

Jun-July

July

Calculating.

Estimate powers and roots.

Calculate with roots and integer, negative and fractional indices.

Calculate with surds.Limits of accuracy (bounds).

Solving equations and inequalities 1

Find approximate solutions to equations using iteration.

Solve 2 linear simultaneous equations.

Mathematical movement 1

Identify, describe and construct similar shapes.

Enlargement inc. fractional SF.

Links between similarity and SF.Changes and invariance achieved by combinations of transformations.

Investigating properties of shapes.

Make links to similarity inc. trig. ratios and SF.

Know exact values of Sin∂ and Cos∂ for 30°, 45°, 60° and 90°.

Know trig. ratios.Find angles and lengths in R.A triangles in 2D.

Algebraic proficiency.

Simplify and manipulate algebraic expressions inc. fractions.

Manipulate algebraic expressions by expanding products of more than 2 binomials.

Simplify algebraic expressions including surds. Factorise quadratic expressions.

Proportional reasoning.

Direct and inverse proportion.

Interpret graphs that illustrate proportion.

Calculating space.

Calculate surface area and volume of spheres, pyramids, cones and composite solids.

Apply concepts of congruence and similarity including relationships between length, area and volumes in similar figures.

Pattern sniffing.

Deduce expressions to calculate the nth term of quadratic sequences.

Geometric progressions.

Algebraic proficiency – visualising.

Plot and interpret graphs inc. exponential and Reciprocal.

Calculate gradient and areas under graphs.

Interpret gradient at a point.Identify and interpret roots, intercepts, turning points of quadratic functions graphically.

Exploring FDP.

Convert between recurring decimals and fractions.

Set up, solve and interpret answers to growth and decay problems, inc. compound interest.

Solving equations and inequalities 2

Solve quadratic equations algebraically by factorising.

Find approx. solutions using a graph.

Deduce roots of quadratic functions algebraically.

Understanding risk.

Apply systematic listing strategies inc. use of product rule.

Calculate and interpret conditional probabilities.

Analysing statistics.

Sampling.

Cumulative frequency graphs.

Interpret, analyse and compare distributions.

Mathematical movement 2

Add, subtract and multiply vectors.

Proof if vectors are parallel

Alternating between ‘Skills, Challenge stretch homework / Mymaths

and Assessment MyMaths

Cheat sheet / Assess skills against assessment checklist

Check students are getting “green” and if not students need to attend h/w club (see below)

Students will need to produce cheat sheets as part of revision where applicable.

#### Year 11

#### Modules

#### Content

#### Maths Higher

#### KS4

#### Homework

#### Parent / Carer Support

Sept - Dec

Jan-Mar-July

Apply the circle theorems concerning angles, radii, tangents and chords.

Use the form y = mx + c to identify parallel and perpendicular lines.

Recognise and use the equation

of a circle with centre at the origin.

Find the equation of a tangent to a circle at a given point.

Use Pythagoras, and trigonometry to calculate missing angles and sides including in 3D.

Use the sine rule for area.

Solve linear inequalities algebraically and graphically.

Solve quadratic inequalities in one variable.

Interpret the succession of two functions as a composite function.

Solve quadratic equations by completing the square and by using the quadratic formula.

Deduce turning points of quadratic functions by completing the square.

Recognise, sketch and interpret graphs.

Sketch translations and reflections of a given function.

Construct and interpret histograms.

Revision for final GCSE examination.

Alternating between ‘Skills, Challenge stretch homework / Mymaths

Assessment MyMaths

Cheat sheet / Assess skills against assessment checklist

My Maths

My Maths & Examination Papers

Check students are getting “green” and if not students need to attend h/w club (see below)

Students will need to produce cheat sheets as part of revision where applicable.

Ensure students have a quiet place to study.

#### Exam Board: AQA

#### Study Guides Available:

Mathswatch CD - available from the maths staffroom £3

CGP revision guide - available from the maths staffroom £6.50