Specification/Exam Board

OCR Maths GCSE (J560)

Curriculum Allocation

Maths is taught for five 100 minute lessons per fortnight.

Curriculum Period 1:

Curriculum content

Foundation

TopicContent and Sparx Maths Reference
Factors, Multiples & Primes
  • Finding the lowest common multiple(U751)
  • Finding the highest common factor(U529)
  • Prime factor decomposition(U739)
  • Finding the HCF and LCM using prime factor decomposition(U250)
Fractions & Mixed Numbers
  • Ordering fractions and mixed numbers(U439)
  • Adding and subtracting mixed numbers(U793)
  • Multiplying with mixed numbers(U224)
  • Dividing with mixed numbers(U538)
Expressions
  • Simplifying expressions using index laws(U662)
  • Simplifying algebraic fractions by cancelling common factors(U103)
Equations
  • Solving equations with two or more steps(U325)
  • Solving equations with the unknown on both sides(U870)
  • Solving equations with the unknown in the denominator(U505)
  • Constructing and solving equations(U599)
  • Factorising to solve quadratic equations of the form x2+bx+c=0(U228)
  • Solving quadratic equations graphically(U601)
  • Solving simultaneous equations using elimination(U760)
  • Solving simultaneous equations using substitution(U757)
  • Solving simultaneous equations graphically(U836)
  • Constructing and solving simultaneous equations(U137)
Angles
  • Combining angle facts(U655)
  • Angles on parallel lines(U826)
  • Using quadrilateral properties to find angles(U329)
  • Angles in polygons(U427)
Pythagoras & Trigonometry
  • Using Pythagoras' theorem in 2D(U385)
  • Applying Pythagoras' theorem in 2D(U828)
  • Finding unknown sides in right-angled triangles(U283)
  • Finding unknown angles in right-angled triangles(U545)
  • Using the exact values of trigonometric ratios(U627)
  • Angles of elevation and depression(U967)
  • Calculating bearings(U107)
  • Calculating with trigonometry and bearings(U164)
Surface Area & Volume
  • Finding the surface area of cones and spheres(U771)
  • Finding the surface area of frustums(U334)
  • Finding the surface area of composite shapes(U561)
  • Finding the volume of cones and spheres(U426)
  • Finding the volume of frustums(U350)
  • Finding the volume of composite shapes(U543)
Statistical Diagrams
  • Drawing pie charts(U508)
  • Interpreting pie charts(U172)
  • Plotting scatter graphs(U199)
  • Interpreting scatter graphs(U277)
  • Using lines of best fit(U128)


In addition to these topics, teachers will review and reteach topics that students have not fully understood in Y10, on a needs by class basis.

Higher

TopicContent and Sparx Maths Reference
Surds
  • Multiplying and dividing surds(U633)
  • Simplifying surds(U338)
  • Adding and subtracting surds(U872)
  • Expanding brackets with surds(U499)
  • Rationalising denominators containing a single term(U707)
  • Rationalising denominators containing two terms(U281)
Algebraic Fractions
  • Simplifying algebraic fractions by factorising into one bracket(U437)
  • Simplifying algebraic fractions by factorising into two brackets(U294)
  • Adding and subtracting algebraic fractions(U685)
  • Multiplying algebraic fractions(U457)
  • Dividing algebraic fractions(U824)
Equations
  • Factorising to solve quadratic equations of the form ax2+bx+c=0(U960)
  • Solving quadratic equations by completing the square(U589)
  • Solving quadratic equations using the quadratic formula(U665)
  • Constructing and solving quadratic equations(U150)
  • Solving quadratic equations graphically(U601)
  • Solving simultaneous equations involving quadratics(U547)
  • Solving simultaneous equations involving quadratics graphically(U875)
Pythagoras and Trigonometry
  • Using the exact values of trigonometric ratios - Higher(U319)
  • Graphs of trigonometric functions(U450)
  • The sine rule(U952)
  • The cosine rule(U591)
  • The area rule(U592)
  • Using Pythagoras' theorem in 3D(U541)
  • Trigonometry in 3D shapes(U170)
Circle Geometry
  • Angles subtended at the centre or circumference of a circle(U459)
  • Angles in segments and cyclic quadrilaterals(U251)
  • Circle theorems for chords and tangents(U489)
  • Alternate segment theorem(U130)
Statistical Diagrams
  • Drawing histograms with equal class widths(U185)
  • Drawing histograms with unequal class widths(U814)
  • Interpreting histograms(U983)
  • Calculating averages from histograms(U267)


In addition to these topics, teachers will review and reteach topics that students have not fully understood in Y10, on a needs by class basis.

Assessment

Assessment takes the form of three full GCSE papers, with one paper as non-calculator and two with a calculator.

    Curriculum Period 2:

    Curriculum content

    Foundation

    TopicContent and Sparx Maths Reference
    Probability
    • Probabilities of mutually exclusive events(U683)
    • Sample space diagrams(U104)
    • Expected results from repeated experiments(U166)
    • Venn diagrams with set notation(U748)
    • Using set notation(U296)
    • Tree diagrams for independent events(U558)
    • Tree diagrams for dependent events(U729)
    • Experimental probabilities(U580)
    Inequalities
    • Solving inequalities with the unknown on both sides(U738)
    • Solving double inequalities(U145)
    • Constructing and solving inequalities(U337)
    Vectors
    • Adding and subtracting column vectors(U903)
    • Multiplying column vectors by a scalar(U564)
    • Identifying parallel vectors(U660)
    • Solving geometric problems using vectors(U781)
    Percentages
    • Percentage change with a calculator(U671)
    • Finding original values in percentage calculations(U286)
    • Finding the percentage an amount has been changed by(U278)
    • Compound interest calculations(U332)
    • Growth and decay(U988)
    Compound measures
    • Calculating with speed(U151)
    • Calculating with rates(U256)
    • Calculating with density(U910)
    • Calculating with pressure(U527)
    Ratio and Proportion
    • Combining ratios(U921)
    • Calculating with ratios and algebra(U676)
    • Changing ratios(U865)
    • Solving direct proportion word problems(U721)
    • Solving inverse proportion word problems(U357)
    • Currency conversion(U610)
    Standard Form
    • Using standard form with positive indices(U330)
    • Using standard form with negative indices(U534)
    • Index rules with positive indices(U235)
    • Index rules with negative indices(U694)
    • Using a calculator(U926)
    Sequences
    • Position-to-term rules for arithmetic sequences(U498)
    • Position-to-term rules for sequences of patterns(U978)
    • Position-to-term rules for geometric sequences(U958)
    • Special sequences(U680)
    Linear Graphs
    • Plotting straight line graphs(U741)
    • Finding equations of straight line graphs(U315)
    • Interpreting equations of straight line graphs(U669)
    • Finding the equation of a straight line from its gradient and a point(U477)
    • Finding the equation of a straight line from two points on the line(U848)
    • Equations of parallel lines(U377)


    In addition to these topics, teachers will review and reteach topics that students have not fully understood in Y10, on a needs by class basis.

    Higher

    TopicContent and Sparx Maths Reference
    Probability
    • Conditional probabilities from tables(U246)
    • Conditional probabilities from Venn diagrams(U699)
    • Using the conditional probability formula(U821)
    • Conditional probabilities from tree diagrams(U806)
    • Using the product rule for counting(U369)
    Inequalities
    • Graphs of linear inequalities(U747)
    • Solving quadratic inequalities(U133)
    Functions
    • Substituting into functions(U637)
    • Substituting into composite functions(U895)
    • Finding composite functions(U448)
    • Finding inverse functions(U996)
    Graph Transformations
    • Translating graphs(U598)
    • Reflecting graphs(U487)
    • Transforming graphs(U455)
    Iteration
    • Using recurrence relations(U171)
    • Substituting into iterative formulae(U434)
    • Finding approximate solutions to equations using iteration(U168)
    Algebraic Proofs
    • Writing algebraic proofs(U582)
    Similar Shapes
    • Finding the perimeter and area of similar shapes(U630)
    • Finding the surface area and volume of similar shapes(U110)
    Vectors and Proofs
    • Solving geometric problems using vectors(U781)
    • Geometric proofs with vectors(U560)
    • Geometric proofs with angle facts(U471)
    • Geometric proofs with congruence and similarity(U887)
    • Proving the circle theorems(U807)
    Non-Linear Graphs
    • Estimating gradients of non-linear graphs using tangents(U800)
    • Calculating distances from velocity-time graphs(U611)
    • Estimating areas under non-linear graphs(U882)
    • Equations of circles and tangents(U567)


    In addition to these topics, teachers will review and reteach topics that students have not fully understood in Y10, on a needs by class basis.

    Assessment

    Assessment takes the form of three full GCSE papers, with one paper as non-calculator and two with a calculator.

      Curriculum Period 3:

      Curriculum content

      For both higher and foundation classes, the class teacher will review, revise (and reteach if necessary) GCSE content from Y10 and Y11 according to the needs of the class based on information from mock papers, recall starters, topic tests and class work.

      Assessment

      External Exams


      Revision resources

      GCSE maths examinations, three 90 minute papers with one that is non-calculator.

      The revision folders on Showbie.

      Other useful revision resources can be found on:

      https://www.sparxmaths.uk/
      https://corbettmaths.com/

      Subject advice and guidance

      If you need any further guidance then please contact your child’s teacher via email:

      claire.plant@endon.set.org

      vicki.moston@endon.set.org

      david.tagell@endon.set.org

      adrian.arnold@endon.set.org

      david.nicholl@endon.set.org

      randeep.bahia@endon.set.org

      tracey.hill@endon.set.org