Further Mathematics Support Programme Scheme of Work ...

1 Further Mathematics Support Programme Edexcel S1 Scheme of Work Template - 2016-2017 This template is part of a series designed to assist with planning and delivery of Further Mathematics courses. It shows how Integral Resources and Live Interactive Lectures can be used to Support students and teachers. Teacher-level access to the Integral Resources ( ) for Further Pure and Applied units is available free of charge to all schools/colleges that register with the Further Mathematics Support Programme : Student-level access to the Integral Resources and the Live Interactive Lectures for Further Mathematics is available at a moderate cost via: Integral Resources include a wide range of resources for both teacher and student use in learning and assessment.

2 A selection of these are suggested in the template below. Sample resources are available via: Live Interactive Lectures are available for individual Further Pure and Applied units and take place in the spring and autumn terms. LIL FM is ideal for schools/colleges teaching Further Mathematics with small groups and/or limited time allocation. It is also useful to Support less experienced teachers of Further Mathematics . See Scheduling will depend on circumstances, but the template below breaks the module down into 7 sections which may be allocated approximately equal time. Each section corresponds to one Live Interactive Lecture (LIL) and these take place fortnightly to supplement the teaching and tutorial Support in schools/colleges and students' own independent study.

3 FMSP Area Coordinators will be able to offer additional guidance if needed. See Integral Resources Live Interactive Lectures Integral Resources Edexcel S1 Scheme of Work Template - 2016-2017 Topic Specification statements Suggested Integral Resources Assessment (Integral Resources) Live Interactive Lecture Other resources Working with data Histograms, stem and leaf diagrams, box plots. Measures of location mean, median, mode. Measures of dispersion variance, standard deviation, range and inter-percentile ranges. Skewness. Concepts of outliers. Edexcel_S1 / Working with data / Working with data 1: Summarising sample data (location) Notes and examples Edexcel_S1 / Working with data / Working with data 2: Summarising sample data (dispersion) Statistical measures teaching activities Histograms, mean and standard deviation (Geogebra) Boxplots and outliers (Geogebra) Linear coding puzzle Variance and standard deviation (PowerPoint) Edexcel_S1 Working with data / Working with data 3: Representing data Section Test W1 Section Test W2 Working with data nrich: Stats statements Making statistics vital.

4 Histogram cut-up Statistical diagrams teaching activities Histograms, mean and standard deviation (Geogebra) Boxplots and outliers (Geogebra) Linear coding puzzle Variance and standard deviation (PowerPoint) Section Test W3 Edexcel_S1 / Working with data Working with data topic assessment Probability 1: Introduction Elementary probability. Sample space. Conditional probability. Edexcel_S1 / Probability Probability 1: Introducing probability Probability teaching activities Venn diagrams matching activity Additional exercise Edexcel_S1 / Probability / Probability 2: Conditional probability Conditional probability teaching activities Probability hexagonal jigsaw Venn diagrams Additional exercise Section Test P1 Section Test P2 Probability 1: Introduction Making statistics vital: Balls in a box Making statistics vital: The Colin and Phil problem Making statistics vital: The two dominoes Probability 2: Independent and mutually exclusive events Exclusive and complementary events.

5 Independence of two events. Sum and product laws. Edexcel_S1 / Probability / Probability 3: Independent and mutually exclusive events Probability matching activity Additional exercise Section Test P3 Probability 2: Independent and mutually exclusive events Making statistics vital: random independence Making statistics vital: Biased dice independence Making statistics vital: The independent school Edexcel_S1 / Probability Probability topic assessment discrete random variables 1: Introduction The concept of a discrete random variable . The probability function and the cumulative distribution function for a discrete random variable . Mean and variance of a discrete random variable . Edexcel_S1 / discrete random variables / discrete random variables 1: Introduction Additional exercise Edexcel_S1 / discrete random variables / discrete random variables 2: Expectation and variance discrete random variables 1 (PowerPoint) discrete random variables 2 (PowerPoint) Additional exercise Section Test D1 Section Test D2 discrete random variables 1: Introduction nrich: Data matching Making statistics vital: DRVs from a bag Making statistics vital: DRV Venn diagram Making statistics vital: The four-sided dice discrete random variables 2: Functions of random variables Mean and variance of a discrete random variable .

6 The discrete uniform distribution. Edexcel_S1 / discrete random variables discrete random variables 2: Functions of random variables Making statistics vital: Double or add / discrete random variables 3: Functions of random variables Notes and examples Section Test D2 Edexcel_S1 / discrete random variables discrete random variables topic assessment Correlation and regression Scatter diagrams. Linear regression. Explanatory (independent) and response (dependent) variables. Applications and interpretations. The product moment correlation coefficient, its use, interpretation and limitations. Edexcel_S1 / Correlation and regression / Correlation and regression 1: Correlation Correlation (Geogebra) Correlation match Additional exercise Edexcel_S1 / Correlation and regression / Correlation and regression 2: Regression Regression (Geogebra) Regression matching activity Additional exercise Section Test C1 Section Test C2 Correlation and regression Making statistics vital: Ten point PMCC Making statistics vital: Residuals Edexcel_S1 / Correlation and regression Correlation and regression topic assessment The normal distribution The Normal distribution including the mean, variance and use of tables of the cumulative distribution function.

7 Edexcel_S1 / The normal distribution / The normal distribution 1: Introduction The normal distribution Making statistics vital: The coffee problem nrich: Into the normal distribution The normal distribution (Geogebra) Normal curves matching activity (easier) Normal curves matching activity (more challenging) Correlation match Additional exercise Section Test N1 Edexcel_S1 / The normal distribution The normal distribution topic assessment Consolidation and revision FMSP - Revision Videos ExamSolutions Edexcel S1 Past Papers The study plans available on Integral Resources refer to Edexcel AS and A Level Modular Mathematics - Statistics 1 (ISBN 9780435519124). Other textbooks covering this course may be available, and Integral Mathematics Resources does not endorse any particular set of textbooks.

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