English

not defined

no text concepts found

Further Mathematics Support Programme AQA 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. Integral Resources Integral Resources Live Interactive Lectures Teacher-level access to the Integral Resources (integralmaths.org/) for Further Pure and Applied units is available free of charge to all schools/colleges that register with the Further Mathematics Support Programme: www.furthermaths.org.uk/ Student-level access to the Integral Resources and the Live Interactive Lectures for Further Mathematics is available at a moderate cost via: www.furthermaths.org.uk/lilfm Integral Resources include a wide range of resources for both teacher and student use in learning and assessment. A selection of these are suggested in the template below. Sample resources are available via: http://integralmaths.org/help/info.php. 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 www.furthermaths.org.uk/lilfm 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. FMSP Area Coordinators will be able to offer additional guidance if needed. See www.furthermaths.org.uk/regions AQA S1 – Scheme of Work Template - 2016-2017 Topic Specification statements Suggested Integral Resources Numerical measures Standard deviation and variance calculated on ungrouped and grouped data. Linear scaling. Choice of numerical measures. ► AQA_S1 / ► Numerical measures / ► Numerical measures 1: Mean, median and mode Notes and examples Assessment (Integral Resources) Live Interactive Lecture Other resources Numerical measures Making statistics vital: World-wide statistics Section Test M1 ► AQA_S1 / ► Numerical measures / ► Numerical measures 2: Measures of spread Making statistics vital: Cricketing MMM Making statistics vital: Quartiles for a small data set Statistical measures teaching activities Histograms, mean and standard deviation (Geogebra) Boxplots and outliers (Geogebra) Linear coding puzzle Variance and standard deviation (PowerPoint) Making statistics vital: A small sample nrich: Stats statements Making statistics vital: Spot the error Making statistics vital: Outlier tester Section Test M2 ► AQA_S1 / ► Numerical measures Numerical measures topic assessment Making statistics vital: Coding spreadsheet Probability 1: Introduction and tree diagrams Elementary probability; the concept of a random event and its probability. Addition law of probability. Mutually exclusive events ► AQA_S1 / ► Probability / ► Probability 1: Introduction Probability teaching activities Venn diagrams matching activity Additional exercise Probability 1: Introduction and tree diagrams Making statistics vital: The Colin and Phil problem Section Test P1 Making statistics vital: The two dominoes ► AQA_S1 / ► Probability / ► Probability 2: Tree diagrams Probability 2: Conditional probability The binomial distribution Multiplication law of probability and conditional probability. Independent events. Application of probability laws. Discrete random variables. Conditions for application of a binomial distribution. Calculation of probabilities using formula. Use of tables. Additional exercise ► AQA_S1 / ► Probability / ► Probability 3: Conditional probability Conditional probability teaching activities Probability matching activity Probability hexagonal jigsaw Venn diagrams worksheet Additional exercise ► AQA_S1 / ► The binomial distribution / ► The binomial distribution 1: Introduction Making statistics vital: Balls in a box Section Test P2 Probability 2: Conditional probability Making statistics vital: Random independence Making statistics vital: Biased dice independence Section Test P3 ► AQA_S1 / ► Probability Probability topic assessment The binomial distribution Making statistics vital: The independent school Making statistics vital: Most likely value Mean, variance and standard deviation of a binomial distribution. Binomial probabilities teaching activities Additional exercise Section Test B1 ► AQA_S1 / ► The binomial distribution / ► The binomial distribution 2: Using the binomial distribution Binomial puzzle Additional exercise The normal distribution Continuous random variables. Properties of normal distributions. Calculation of probabilities. Mean, variance and standard deviation of a normal distribution. ► AQA_S1 / ► The normal distribution / ► The normal distribution 1: Introduction The normal distribution (Geogebra) Normal curves matching activity (easier) Normal curves matching activity (more challenging) Additional exercise Making statistics vital: Binomial reverse Section Test B2 ► AQA_S1 / ► The binomial distribution The binomial distribution topic assessment The normal nrich: Into the distribution normal distribution Making statistics vital: The coffee problem Section Test N1 ► AQA_S1 / ► The normal distribution / ► The normal distribution 2: Percentage points Additional exercise Making statistics vital: The binomial mean and variance Section Test N2 ► AQA_S1 / ► The normal distribution Estimation Correlation and regression Population and sample. Unbiased estimators of a population mean and variance. The sampling distribution of the mean of a random sample from a normal distribution. A normal distribution as an approximation to the sampling distribution of the mean of a large sample from any distribution. Confidence intervals for the mean of a normal distribution with known variance. Confidence intervals for the mean of a distribution using a normal approximation. Inferences from confidence intervals. ► AQA_S1 / ► Estimation / ► Estimation 1: Confidence intervals Calculation and interpretation of the product moment correlation coefficient Identification of response (dependent) and explanatory ► AQA_S1 / ► Correlation and regression / ► Correlation and regression 1: Correlation The normal distribution topic assessment Estimation nrich: Aim high Confidence intervals teaching activities Confidence intervals (Geogebra) Section Test E1 ► AQA_S1 / ► Estimation Correlation (Geogebra) Estimation topic assessment Correlation and regression Making statistics vital: Ten point PMCC Making statistics vital: Residuals Consolidation and revision (independent) variables in regression. Calculation of least squares regression lines with one explanatory variable. Scatter diagrams and drawing a regression line thereon. Calculation of residuals. Linear scaling. Correlation match Additional exercise Section Test C1 ► AQA_S1 / ► Correlation and regression / ► Correlation and regression 2: Regression Regression (Geogebra) Regression matching activity Additional exercise Section Test C2 ► AQA_S1 / ► Correlation and regression Correlation and regression topic assessment FMSP - Revision Videos The study plans available on Integral Resources refer to Advancing Maths for AQA: Statistics 1 (ISBN 9780435513382) and Advanced Maths for AQA: Statistics S1 (ISBN 9780199149377). Other textbooks covering this course may be available, and Integral Mathematics Resources does not endorse any particular set of textbooks.