Year 12 Maths C1-C2-S1 2016/2017

Transcription

1 Half Term 1 5 th September 12 th September 19 th September 26 th September 3 rd October 10 th October 17 th October Basic algebra and Laws of indices Factorising expressions Manipulating surds and rationalising the denominator Simplifying algebraic fractions Dividing by Polynomials Mathematical models in probability and statistics Ideas of mathematical modelling applied in probability and statistics C1 Chapter 1 C1 Ch1 PPQ Hwk Basic algebra and Remainder and factor theorem Factorise expressions using remainder and factor theorem Use remainder theorem to calculate unknowns by simultaneous equations summary of data. Histograms, stem and leaf diagrams, box plots. C2 chapter 1 C2 Ex1b-Q2 LHC S1-Ch2 PPQ Hwk Quadratics and curve sketching Plotting and solving quadratics Solving by completing the square Solving by quadratic formula summary of data. C1 chapter 2 C2 Ch1 PPQ Hwk Quadratics and curve sketching Sketching quadratic graphs Solve equations by using the discriminant to identify the number of roots and the nature of the roots summary of Measures of location mean, median and mode. C1 chapter 2 C1 Ch2 PPQ Hwk S1-Ex 3d-Odds Equations and inequalities Solving simultaneous equations by elimination and substitution Solve linear inequalities Solve quadratic Inequalities summary of data Measures of dispersion C1 chapter 3 C1 Ch3a PPQ Hwk Curve Sketching Sketch and interpret cubic Sketch and interpret reciprocal graphs Interpret and apply transformations of summary of data Skewness. Concepts of outliers. C1 chapter 4 C1 Ch3b PPQ Hwk S1-Ch3 PPQ Hwk Curve Sketching summary of data C1 chapter 4 C1 Ch4 PPQ Hwk S1-Ch4 PPQ Hwk

2 Half Term 2 31 st October 7 th November 14 th November 21 st November 28 th November 5 th December 12 th December Coordinate Geometry Express straight lines in the form y = mx + c Utilise and interpret equations of straight lines Conditions for parallel and perpendicular lines Scatter Diagrams, Linear regression Coordinate Geometry Identify the mid-point and length of a line segment Equation of a circle Identify the equation of tangents to a circle Sequences and Series Arithmetic series Express arithmetic series on the form Un = a + (n 1)d Express arithmetic series as recurrence relationships Calculate the Sum of an arithmetic series Exploratory (independent) and response (dependant) variables. Applications and interpretations. Differentiation Differentiation from first principles Differentiate a function to find the gradient at a point Differentiate polynomials by first simplifying Use differentiation to calculate rates of change Integration Integrate simple expressions Use and understand integral notation Identify the constant of Integration Product Moment Correlation Coefficient, its use, interpretation and limitations. Integration Calculate definite integrals Trigonometric formulae Use the Sine rule Use the cosine rule Use the Sine rule to calculate area C1 chapter 5 C2 chapter 3 C1 chapter 6 C1 chapter 7 C1 chapter 8 C2 chapter 11.1 C2 chapter 2 C1 Review Ex1 8,14,22,27 C1 Ch5 PPQ Hwk C2 Ch4 PPQ Hwk S1-Ex 6d-Odds C1 Ch6 PPQ Hwk C1 Ch7 PPQ Hwk S1-Ch6 PPQ Hwk C1 Ch8 PPQ Hwk C2 Ch2 PPQ Hwk S1-Ch7 PPQ Hwk

3 Half Term 3 2 nd January 9 th January 16 th January 23 rd January 30 th January 6 th February 13 th February Radian Measure Convert between radians and degrees Use radians with trigonometric formulae Calculate the arc length and area of a sector Calculate the area of segment Elementary. C2 chapter 6 C2 Ch6 PPQ Hwk Exponentials and Interpret and plot in the form y = a x Express as Simplify using the laws of Sample Space. Exclusive and complementary events. Conditional probability C2 chapter 3 S1-Ex5d-Odds Exponentials and Solve equations by using Change the base of a Logarithm Independence of two events. C2 chapter 3 C2 Ch3 PPQ Hwk Sequences and Series Geometric series Interpret and identify rules for geometric series Express geometric series in the form Un = ar (n 1) Sum and product laws C2 chapter 7 S1-Ch5 PPQ Hwk Sequences and Series Calculate the sum of a geometric series Calculate the sum to infinite Solve problems using geometric progression The concept of a discrete random variable. C2 chapter 7 C2 Ch7 PPQ Hwk Binomial expansion Investigate Pascal s triangle and its relationship with binomial expansion Combination and factorial notation Use n Cr when applying binomial expansion Expand and simplify expressions in the form (a + bx) n The probability function and the cumulative distribution function for a discrete random variable. C2 chapter 5 C2 Ch5 PPQ Hwk S1-Ex8d-Odds Trigonometric Plot basic graphs of trigonometric Relate trigonometric to the unit circle Calculate values in all four quadrants Transform graphs of sin, cos and tan Mean and variance of a discrete random variable. C2 chapter 8 C2 Ch8 PPQ Hwk

4 Half Term 4 27 th February 6 th March 13 th March 20 th March 27 th March 3 rd April Trigonometric identities Simplify expressions using simple trigonometric identities Solve equations Using trigonometric identities The discrete uniform distribution. Trigonometric identities Solve trigonometric equations in the form sin(nθ + α), cos(nθ + α) and tan(nθ + α) by changing the limits Solve quadratic trigonometric equations Normal Distribution The normal distribution including the mean, variance and use of tables of the cumulative distribution function. Second order differentiation Review 1 st order differentiation 2 nd order differentiation Identify stationary points Identify the nature of stationary points by considering whether the are increasing or decreasing Second order differentiation Use 2 nd order differentiation to calculate the nature of stationary points Solve problems by considering turning points Integration and the trapezium rule Use integration to calculate the area under a curve Use integration to calculate the area between to curves Integration and the trapezium rule Use of the trapezium rule to estimate the area under a curve Normal Distribution Normal Distribution Normal Distribution Normal Distribution C2 chapter 10 S1-Ch8 PPQ Hwk C2 chapter 10 C2 Ch10 PPQ Hwk C2 chapter 9 C2 chapter 9 C2 Ch9 PPQ Hwk S1-Ex9c-Odds C2 chapter 11 C2 chapter 11 C2 Ch11 PPQ Hwk S1-Ch9 PPQ Hwk

5 Half Term 5 24 th April 1 st May 8 th May 15 th May 22 nd May Outline the required content for C1 AND C2 examination Review exam questions covering C2 specific topics Conduct and review of C1 and C2 Mock examination Focus on exam style questions Clearly differentiate between C1 and C2 content Revision for S1 examination Revision for S1 examination Revision for S1 examination Revision for S1 examination Revision for S1 examination C1 Jan 2012 C2 Jan 2012 C1 Jan 2011 C2 Jan 2011 C1 Jan 2010 S1 Jan 2012 S1 Jan 2011 S1 Jan 2010

6 Half Term 6 5 th June 12 th June 19 th June 26 th June 3 rd July 10 th July 17 th July Simplifying algebraic fractions Simplify by cancelling common factors Apply the four rules to algebraic fractions Dividing algebraic fractions and remainder theorem Functions Mapping diagrams and Function notation Domain and range of Composite Inverse Exponential and log The exponential function, y = e x Sketching graphs of y = e x Interpret and sketch the natural logarithm Exponential and log Use e x and lnx to find exact solutions Solve problems involving e x and lnx Numerical methods Calculate the approximate roots of f(x) = 0 Use iterative and algebraic methods to calculate roots of f(x Numerical methods C3 chapter 1 C3 chapter 2 C3 chapter 3 C3 chapter 3 C3 C3 chapter 4 C3 chapter 4 C3 Ch1 PPQ Hwk C3 Ch2 PPQ Hwk Ch3 PPQ Hwk C3 Ch4 PPQ Hwk

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