KS5 Mathematics - User contributions [en-gb]

S1 Representation and Summary

2014-07-11T11:22:49Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[File:Statistics_glossary.docx]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV activity on histograms]]

[[Media:Climate_data_UK.xlsx|Sample data]]

[[Media:S1_Coding.ppt|Powerpoint - Coding]]

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

<math>\sigma=\sqrt{\frac{\sum{x^2}}{n}-\mu^2}</math>

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

S1 Representation and Summary

2014-07-11T11:22:20Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[File:Statistics_glossary.docx]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV 1|MSV activity on histograms]]

[[Media:Climate_data_UK.xlsx|Sample data]]

[[Media:S1_Coding.ppt|Powerpoint - Coding]]

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

<math>\sigma=\sqrt{\frac{\sum{x^2}}{n}-\mu^2}</math>

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

S1 Representation and Summary

2014-07-11T11:21:54Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[File:Statistics_glossary.docx]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV 1]] MSV activity on histograms.

[[Media:Climate_data_UK.xlsx]]Sample data

[[Media:S1_Coding.ppt|Powerpoint - Coding]]

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

<math>\sigma=\sqrt{\frac{\sum{x^2}}{n}-\mu^2}</math>

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

S1 Representation and Summary

2014-07-11T11:21:31Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Using histograms, stem and leaf diagrams and box plots to compare distributions
*Back-to-back stem and leaf diagrams may be required
*Measures of location (mean, median, mode)
*Drawing simple inferences and give interpretations to measures of location and dispersion
*Data may be discrete, continuous, grouped or ungrouped
*Understanding and use of coding
*Measures of dispersion (variance, standard deviation, range and interpercentile ranges)
*Simple interpolation
*Interpretation of measures of location and dispersion
*Skewness
*Concepts of outliers. Location of outliers on a box plot
</onlyinclude>
== Preparation ==
[[File:Statistics_glossary.docx]]

== Supporting activities ==

[[Media:Msv-1.pdf|MSV 1]] MSV activity on histograms.

[[Media:Climate_data_UK.xlsx]]Sample data

[[Media:S1_Coding.ppt]] Powerpoint - Coding

== Consolidation ==
== Homework ==
== Key questions ==

== Assessment ==
== Notes ==

http://hansrosling.com Great videos

<math>\sigma=\sqrt{\frac{\sum{x^2}}{n}-\mu^2}</math>

http://www.ted.com/talks/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html

File:S1 Coding.ppt

2014-07-11T11:20:42Z

DAN:

S1 Probability

2014-07-11T11:17:10Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Elementary probability
*Sample spaces
*Exclusive and complementary events
*Conditional probability
*Understanding and use of <math>P(A^{\prime}) = 1 - P(A)</math>, <math>P(A\cup B) = P(A) + P(B) - P(A\cap B)</math>, <math>P(A\cap B) = P(A)P(B|A)</math>
*Independence of two events. <math>P(B|A) = P(B)</math>, <math>P(A|B) = P(A)</math>, <math>P(A\cap B) = P(A) P(B)</math>
*Sum and product laws
*Use of tree diagrams and Venn diagrams
*Sampling with and without replacement
</onlyinclude>

== Preparation ==
== Supporting activities ==

[[Media:PROBABILITY_AND_CONDITIONAL_PROBABILITY_(2).ppt|Powerpoint - Conditional Probability]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

S1 Probability

2014-07-11T11:16:53Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Elementary probability
*Sample spaces
*Exclusive and complementary events
*Conditional probability
*Understanding and use of <math>P(A^{\prime}) = 1 - P(A)</math>, <math>P(A\cup B) = P(A) + P(B) - P(A\cap B)</math>, <math>P(A\cap B) = P(A)P(B|A)</math>
*Independence of two events. <math>P(B|A) = P(B)</math>, <math>P(A|B) = P(A)</math>, <math>P(A\cap B) = P(A) P(B)</math>
*Sum and product laws
*Use of tree diagrams and Venn diagrams
*Sampling with and without replacement
</onlyinclude>

== Preparation ==
== Supporting activities ==

[[Media:PROBABILITY_AND_CONDITIONAL_PROBABILITY_(2).ppt|Powerpoint Conditional Probability]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

File:PROBABILITY AND CONDITIONAL PROBABILITY (2).ppt

2014-07-11T11:15:37Z

DAN:

S1 Discrete Random Variables

2014-07-11T11:08:14Z

DAN: /* Discrete Random Variables */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*The concept of a discrete random variable
*The probability function and the cumulative distribution function for a discrete random variable
*Use of the cumulative distribution function
*Mean and variance of a discrete random variable
*Use of <math>E(X)</math>, <math>E(X^2)</math> for calculating the variance of <math>X</math>
*Knowledge and use of <math>E(aX + b) = aE(X) + b</math> and <math>Var(aX + b) = a^2 Var(X)</math>
*The discrete uniform distribution, its mean and variance
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Discrete Random Variables ===

[[Media:Discrete_Random_Variables.ppt|Powerpoint Discrete Random Variables]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

S1 Discrete Random Variables

2014-07-11T11:07:50Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*The concept of a discrete random variable
*The probability function and the cumulative distribution function for a discrete random variable
*Use of the cumulative distribution function
*Mean and variance of a discrete random variable
*Use of <math>E(X)</math>, <math>E(X^2)</math> for calculating the variance of <math>X</math>
*Knowledge and use of <math>E(aX + b) = aE(X) + b</math> and <math>Var(aX + b) = a^2 Var(X)</math>
*The discrete uniform distribution, its mean and variance
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Discrete Random Variables ===

[[File:Discrete_Random_Variables.ppt|Powerpoint Siscrete Random Variables]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

File:Discrete Random Variables.ppt

2014-07-11T11:06:48Z

DAN:

S1 Correlation and Regression

2014-07-11T11:01:53Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

=== Regression ===

[[Media:Regression.ppt| Powerpoint Regression]]

=== Product Moment Correlation Coefficient ===

[[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]]

[[Media:Correlation_worksheet.ppt|Worksheet PMCC (to use with the above Powerpoint)]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

File:Regression.ppt

2014-07-11T11:01:17Z

DAN:

S1 Correlation and Regression

2014-07-11T10:57:48Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==
=== Product Moment Correlation Coefficient ===

[[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]]

[[Media:Correlation_worksheet.ppt|Worksheet PMCC (to use with the above Powerpoint)]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:56:19Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==
Product Moment Correlation Coefficient

[[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]]

[[Media:Correlation_worksheet.ppt|Worksheet PMCC (to use with the above Powerpoint)]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:55:21Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]]

[[Media:Correlation_worksheet.ppt|Worksheet PMCC (to use with the above Powerpoint)]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:50:08Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:Correlation_worksheet.ppt|Worksheet PMCC]]

[[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:49:52Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:Correlation_worksheet.ppt|Worksheet PMCC]]

[Media:Correlation_and_pmcc.ppt|Powerpoint PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:49:32Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:Correlation_worksheet.ppt|Worksheet PMCC]]

[Media:Correlation_and_pmcc.ppt Powerpoint PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

File:Correlation and pmcc.ppt

2014-07-11T10:48:42Z

DAN: DAN uploaded a new version of "File:Correlation and pmcc.ppt"

S1 Correlation and Regression

2014-07-11T10:48:08Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[[Media:Correlation_worksheet.ppt|Worksheet PMCC]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T10:46:04Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[Media:Correlation_and_pmcc.ppt Powerpoint PMCC]

[Media:Correlation_worksheet.ppt Worksheet PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

File:Correlation worksheet.ppt

2014-07-11T10:44:39Z

DAN: DAN uploaded a new version of "File:Correlation worksheet.ppt"

S1 Correlation and Regression

2014-07-11T09:58:33Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[http://www.pretenshn.com/mediawiki/index.php/Media:Correlation_and_pmcc.ppt Powerpoint PMCC]

[http://www.pretenshn.com/mediawiki/index.php/Media:Correlation_worksheet.ppt Worksheet PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T09:58:11Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[http://www.pretenshn.com/mediawiki/index.php/Media:Correlation_and_pmcc.ppt Powerpoint PMCC]

[http://www.pretenshn.com/mediawiki/index.php/Media:File.ogg:Correlation_worksheet.ppt Worksheet PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

File:Correlation worksheet.ppt

2014-07-11T09:56:17Z

DAN:

S1 Correlation and Regression

2014-07-11T09:52:28Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[http://www.pretenshn.com/mediawiki/index.php/Media:Correlation_and_pmcc.ppt Powerpoint PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

S1 Correlation and Regression

2014-07-11T09:51:22Z

DAN: /* Supporting activities */

Part of [[S1]]
== Objectives ==
<onlyinclude>
*Scatter diagrams
*Linear regression
*Drawing regression line on a scatter diagram
*Explanatory (independent) and response (dependent) variables
*Applications and interpretations
*Make predictions within the range of values of the explanatory variable and recognise the dangers of extrapolation
*Variables other than x and y may be used
*Linear change of variable may be required
*The product moment correlation coefficient, its use, interpretation and limitations
</onlyinclude>
== Preparation ==
== Supporting activities ==

[http://www.pretenshn.com/mediawiki/index.php/File:Correlation_and_pmcc.ppt Powerpoint PMCC]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==
Spec says "Calculation of the equation of a linear regression line using least squares" which we assume is a reference to understanding the component parts of the PMCC formula and being able to find them for small sets of data

File:Correlation and pmcc.ppt

2014-07-11T09:49:54Z

DAN:

C3 Algebra and Functions

2013-10-02T16:17:54Z

DAN: /* Supporting activities */

Part of [[C3]]
== Objectives ==
<onlyinclude>
*Simplification of rational expressions including factorising and cancelling.
*Definition of a function.
*Domain and range of functions.
*Composition of functions.
*Inverse functions and their graphs.
*The modulus function
*Combinations of the transformations <math>y = f(x)</math>
</onlyinclude>
== Preparation ==
[[File:Functions.docx]]

== Consolidation ==
== Homework ==
== Key questions ==
== Assessment ==
== Notes ==

File:Functions.docx

2013-09-27T14:27:34Z

DAN: DAN uploaded a new version of "File:Functions.docx": Domain, range and inverse functions

Domain, range and inverse functions

File:Functions.docx

2013-09-27T14:25:31Z

DAN: Domain, range and inverse functions

Domain, range and inverse functions