12C/Ma2 Calendar 2013-2014
Habits of Mind
Inquisitive Collaboration Persistent Disciplined Imaginative
Click HERE for Starter of the Day
CORE 2
Integration (C2 - Chapter 11)
Wednesday 30th April 2014
LO: ALL students will integrate simple functions within defined limits
LO: MOST Students will use definite integration to find areas under curves above and under the x-axis
LO: SOME Students will find areas between a curve and a straight line
Starter - Click HERE for My Maths - Recap on Integration methods - slides 6, 7 and 8
Teacher led examples of evaluating definite integrals and how this relates to area under a curve
c/w C2 Text, Exercise 11A, 11B
Click HERE for My Maths - Area under a curve - slide 9
Teacher led examples of evaluating areas between curves and straight lines
c/w C2 Text, Exercise 11D, Qu 1-5 (Extend for Qu 6-10)
Click HERE for My Maths plenary question - slide 2
STATISTICS 1
Representation and summary of data - measures of dispersion (S1 - Chapter 3)
Wednesday 26th February 2014
Wednesday 12th February 2014
LO: To calculate the range, quartiles and inter-quartile range of data
LO: To calculate percentiles by splitting the data into 100 parts
LO: To find the standard deviation and variance of different data types
Teacher/Student discussion and info/example pack issued
c/w S1 Text, Pages 30-45, Exercises 3A, 3B, 3C, 3D, 3E
Representation and summary of data - location (Statistics 1 - Chapter 2)
Wednesday 5th February 2014
LO: To state the modal class and estimate the mean of grouped data
LO: To estimate the median of grouped data by interpolation
LO: To use coding methods for large data values
Teacher/Student discussion and example of estimating and coding methods
c/w S1 Text, Pages 20-26, Exercise 2D, 2E, 2F (mixed)
Wednesday 29th January 2014
LO: To recognise different types of data
LO: To find the mode, median and mean of data given in different formats
LO: To use these measures to compare distributions and decide which is most suitable
Teacher/Student discussions and examples of measures and their calculation
c/w S1 Text , Pages 7-19, Exercises 2A, 2B, 2C
Probability (Statistics 1 - Chapter 5)
Wednesday 22nd January 2014
LO: To consolidate probability skills
c/w S1 Text, Pages 104-106, Exercise 5G
Wednesday 15th January 2014
LO: To represent conditional probability on a tree diagram
LO: To use mutually exclusive and independent events in probability
c/w S1 Text, Pages 94-95, Exercise 5E Questions 1-4
c/w S1 Text, Page 100, Exercise 5F
Wednesday 8th January 2014
LO: To use formulae to solve problems
Addition Rule: P(A u B) = P(A) + P(B) - P(A n B)
Multiplication Rule: P(A n B) = P(A \ B) x P(B)
ALL Students can apply the Addition Rule to probability problems
MOST Students can apply the Multiplication Rule to probability problems
Teacher/student discussion on probability formulae - ex 5C q1, ex 5D q4
c/w S1 Text, Page 86-87, Exercise 5C
c/w S1 Text, Page 90-91, Exercise 5D
Wednesday 18th December 2013
LO: To solve probability problems by drawing Venn diagrams (John Venn 1834-1923)
ALL Students can represent events on a Venn diagram and use set notation to identify different areas on the diagram
MOST Students can use Venn diagrams to solve probability problems
Teacher/student discussion on Venn diagram example (page 81)
c/w S1 Text, Page 83-83, Exercise 5B
Wednesday 11th December 2013
Mock Examination (Main Hall)
Integration (Core 1 - Chapter 8)
Wednesday 4th December 2013
LO: To find the constant of integration, c, when given any point (x, y) that the curve of the function passes through
ALL Students can use the point the curve passes through to calculate the constant c and hence find the equation of the curve
MOST Students can solve problems involving integration in any context
c/w C1 Text, Page 140, Exercise 8E, Qu 1-3 to be completed
c/w C1 Text, Page 141-142, Mixed Exercise 8F
c/w Individual Revision for mock exam
Wednesday 27th November 2013
LO: To find the equation of the curve, f(x), with a given derivative f '(x), including the constant c
ALL Students can write f '(x) in a form suitable for integration
MOST Students can integrate f '(x) in any form
SOME Students can use the point the curve passes through to calculate the constant c and hence find the equation of the curve
Teacher/student discussion and examples (Page 140, Example 6)
c/w C1 Text, Page 140, Exercise 8E, Qu 1-3
c/w C1 Text, Confirm understanding of prior concepts - Exercises 8A-8D
Wednesday 20th November 2013
LO: Application of integration concepts to complex functions
ALL Students understand integration is the opposite process of differentiation with indefinite and definite integrals
MOST Students can manipulate and integrate functions using the integral sign
SOME Students can simplify an expression into separate terms before they integrate (using the integral sign)
Students to attempt Hexagon Puzzle
Click HERE for My Maths - Integration Introduction - Slides 5 and 6 as a recap to method
c/w C1 Text, Page 138, Exercise 8C (recap on 8A & 8B as required)
My Maths - Slide 7, groups collaborate on set question and student led answers on board
Teacher led example of simplifying expressions before integrating
c/w C1 Text, Page 139, Exercise 8D
Students to return to Hexagon Puzzle
Wednesday 13th November 2013
LO: To understand the process of integration
ALL Students understand integration is the opposite process of differentiation and there is indefinite and definite integration
MOST Students can manipulate and integrate simple functions
SOME Students can manipulate and integrate complex functions
Click HERE for My Maths - Integration Introduction - Slides 1 to 4
Teacher led discussion and further examples of concepts
c/w C1 Text, Pages 135-136, Exercises 8A, 8B
* Exercise 8B Question 1 to be student led on the board
Differentiation (Core 1 - Chapter 7)
Wednesday 23rd October 2013
Topic Assessment Test
Wednesday 16th October 2013
LO: ALL Students can
1. Estimate the gradient of a curve
2. Calculate the gradient function dy/dx for simple functions
3. Calculate the gradient of a curve at any point
4. Find the equation of the tangent and normal to a curve at a specified point
5. Calculate the second differential
Teacher led examples from 7I - Questions 13, 14, 15
c/w C1 Text, Page 130-131, Mixed Exercise 7I
Wednesday 9th October 2013
LO: ALL Students can manipulate and differentiate any given function
LO: MOST Students can use differentiation concepts to find the equation of the tangent line
LO: SOME Students can apply differentiation to a range of given problems
Teacher led example and discussion on finding the equation of a tangent line
c/w C1 Text, Page 130, Exercise 7H
Wednesday 2nd October 2013
LO: ALL Students can manipulate and differentiate simple functions
LO: MOST Students can manipulate and differentiate complex functions
LO: SOME Students can use differentiation concepts to find the equation of the tangent line
Teacher led example and recap of differentiating a range of algebraic terms
c/w C1 Text, Page 126, Exercise 7E
Teacher led discussion on second derivative and use of variables other than y and x
c/w C1 Text, Pages 127-129, Exercises 7F, 7G
Wednesday 25th September 2013
LO: ALL Students understand that differentiation is the process o calculate the gradient of a curve at a specific point
LO: MOST Students can differentiate simple functions and calculate the gradient from this
LO: SOME Students can apply the process to complex algebraic functions
Teacher led introduction to concepts and examples
c/w C1 Text, Pages 123-125, Exercises 7C, 7D
Quadratic Functions (Core 1 - Chapter 2)
Wednesday 18th September 2013
LO: ALL Students can solve quadratic equations by using the equation
LO: MOST Students can leave solutions in simplest surd form
LO: SOME Students can use the discriminant
Teacher led recap on using the formula
Teacher examples of using the formula with surd answers and using the discriminant
c/w C1 Text, Pages22-25, Exercises 2E, 2F, 2G
Wednesday 11th September 2013
LO: ALL Students can solve quadratic equations by factorisation
LO: MOST Students can rewrite quadratic equations by completing the square
LO: SOME Students can solve quadratic equations by completing the square
Teacher introduction to course
Teacher led recap on basic quadratics - To be tested
Key examples of solving quadratics, completing the square
c/w C1 Text, Pages19-21, Exercises 2B, 2C, 2D
Taster Week
Wednesday 17th July 2013
LO: ALL Students can plot a scatter diagram and state the association between the two variables
LO: MOST Students can calculate the product moment correlation coefficient, r
LO: SOME Students can interpret the value of r in a given question
Teacher introduction to course and breakdown of AS and A2 modules
Introduction to Statistics 1 module - key topics and learning concepts
Introduction to Correlation - Student pack available
Key Learning - Scatter Diagrams, Coefficient of Correlation, Coding, Interpretation
c/w Student Pack, Exercise 6E
Click HERE for your summer taste of maths - please do find the time to check this out
Habits of Mind
Inquisitive Collaboration Persistent Disciplined Imaginative
Click HERE for Starter of the Day
CORE 2
Integration (C2 - Chapter 11)
Wednesday 30th April 2014
LO: ALL students will integrate simple functions within defined limits
LO: MOST Students will use definite integration to find areas under curves above and under the x-axis
LO: SOME Students will find areas between a curve and a straight line
Starter - Click HERE for My Maths - Recap on Integration methods - slides 6, 7 and 8
Teacher led examples of evaluating definite integrals and how this relates to area under a curve
c/w C2 Text, Exercise 11A, 11B
Click HERE for My Maths - Area under a curve - slide 9
Teacher led examples of evaluating areas between curves and straight lines
c/w C2 Text, Exercise 11D, Qu 1-5 (Extend for Qu 6-10)
Click HERE for My Maths plenary question - slide 2
STATISTICS 1
Representation and summary of data - measures of dispersion (S1 - Chapter 3)
Wednesday 26th February 2014
Wednesday 12th February 2014
LO: To calculate the range, quartiles and inter-quartile range of data
LO: To calculate percentiles by splitting the data into 100 parts
LO: To find the standard deviation and variance of different data types
Teacher/Student discussion and info/example pack issued
c/w S1 Text, Pages 30-45, Exercises 3A, 3B, 3C, 3D, 3E
Representation and summary of data - location (Statistics 1 - Chapter 2)
Wednesday 5th February 2014
LO: To state the modal class and estimate the mean of grouped data
LO: To estimate the median of grouped data by interpolation
LO: To use coding methods for large data values
Teacher/Student discussion and example of estimating and coding methods
c/w S1 Text, Pages 20-26, Exercise 2D, 2E, 2F (mixed)
Wednesday 29th January 2014
LO: To recognise different types of data
LO: To find the mode, median and mean of data given in different formats
LO: To use these measures to compare distributions and decide which is most suitable
Teacher/Student discussions and examples of measures and their calculation
c/w S1 Text , Pages 7-19, Exercises 2A, 2B, 2C
Probability (Statistics 1 - Chapter 5)
Wednesday 22nd January 2014
LO: To consolidate probability skills
c/w S1 Text, Pages 104-106, Exercise 5G
Wednesday 15th January 2014
LO: To represent conditional probability on a tree diagram
LO: To use mutually exclusive and independent events in probability
c/w S1 Text, Pages 94-95, Exercise 5E Questions 1-4
c/w S1 Text, Page 100, Exercise 5F
Wednesday 8th January 2014
LO: To use formulae to solve problems
Addition Rule: P(A u B) = P(A) + P(B) - P(A n B)
Multiplication Rule: P(A n B) = P(A \ B) x P(B)
ALL Students can apply the Addition Rule to probability problems
MOST Students can apply the Multiplication Rule to probability problems
Teacher/student discussion on probability formulae - ex 5C q1, ex 5D q4
c/w S1 Text, Page 86-87, Exercise 5C
c/w S1 Text, Page 90-91, Exercise 5D
Wednesday 18th December 2013
LO: To solve probability problems by drawing Venn diagrams (John Venn 1834-1923)
ALL Students can represent events on a Venn diagram and use set notation to identify different areas on the diagram
MOST Students can use Venn diagrams to solve probability problems
Teacher/student discussion on Venn diagram example (page 81)
c/w S1 Text, Page 83-83, Exercise 5B
Wednesday 11th December 2013
Mock Examination (Main Hall)
Integration (Core 1 - Chapter 8)
Wednesday 4th December 2013
LO: To find the constant of integration, c, when given any point (x, y) that the curve of the function passes through
ALL Students can use the point the curve passes through to calculate the constant c and hence find the equation of the curve
MOST Students can solve problems involving integration in any context
c/w C1 Text, Page 140, Exercise 8E, Qu 1-3 to be completed
c/w C1 Text, Page 141-142, Mixed Exercise 8F
c/w Individual Revision for mock exam
Wednesday 27th November 2013
LO: To find the equation of the curve, f(x), with a given derivative f '(x), including the constant c
ALL Students can write f '(x) in a form suitable for integration
MOST Students can integrate f '(x) in any form
SOME Students can use the point the curve passes through to calculate the constant c and hence find the equation of the curve
Teacher/student discussion and examples (Page 140, Example 6)
c/w C1 Text, Page 140, Exercise 8E, Qu 1-3
c/w C1 Text, Confirm understanding of prior concepts - Exercises 8A-8D
Wednesday 20th November 2013
LO: Application of integration concepts to complex functions
ALL Students understand integration is the opposite process of differentiation with indefinite and definite integrals
MOST Students can manipulate and integrate functions using the integral sign
SOME Students can simplify an expression into separate terms before they integrate (using the integral sign)
Students to attempt Hexagon Puzzle
Click HERE for My Maths - Integration Introduction - Slides 5 and 6 as a recap to method
c/w C1 Text, Page 138, Exercise 8C (recap on 8A & 8B as required)
My Maths - Slide 7, groups collaborate on set question and student led answers on board
Teacher led example of simplifying expressions before integrating
c/w C1 Text, Page 139, Exercise 8D
Students to return to Hexagon Puzzle
Wednesday 13th November 2013
LO: To understand the process of integration
ALL Students understand integration is the opposite process of differentiation and there is indefinite and definite integration
MOST Students can manipulate and integrate simple functions
SOME Students can manipulate and integrate complex functions
Click HERE for My Maths - Integration Introduction - Slides 1 to 4
Teacher led discussion and further examples of concepts
c/w C1 Text, Pages 135-136, Exercises 8A, 8B
* Exercise 8B Question 1 to be student led on the board
Differentiation (Core 1 - Chapter 7)
Wednesday 23rd October 2013
Topic Assessment Test
Wednesday 16th October 2013
LO: ALL Students can
1. Estimate the gradient of a curve
2. Calculate the gradient function dy/dx for simple functions
3. Calculate the gradient of a curve at any point
4. Find the equation of the tangent and normal to a curve at a specified point
5. Calculate the second differential
Teacher led examples from 7I - Questions 13, 14, 15
c/w C1 Text, Page 130-131, Mixed Exercise 7I
Wednesday 9th October 2013
LO: ALL Students can manipulate and differentiate any given function
LO: MOST Students can use differentiation concepts to find the equation of the tangent line
LO: SOME Students can apply differentiation to a range of given problems
Teacher led example and discussion on finding the equation of a tangent line
c/w C1 Text, Page 130, Exercise 7H
Wednesday 2nd October 2013
LO: ALL Students can manipulate and differentiate simple functions
LO: MOST Students can manipulate and differentiate complex functions
LO: SOME Students can use differentiation concepts to find the equation of the tangent line
Teacher led example and recap of differentiating a range of algebraic terms
c/w C1 Text, Page 126, Exercise 7E
Teacher led discussion on second derivative and use of variables other than y and x
c/w C1 Text, Pages 127-129, Exercises 7F, 7G
Wednesday 25th September 2013
LO: ALL Students understand that differentiation is the process o calculate the gradient of a curve at a specific point
LO: MOST Students can differentiate simple functions and calculate the gradient from this
LO: SOME Students can apply the process to complex algebraic functions
Teacher led introduction to concepts and examples
c/w C1 Text, Pages 123-125, Exercises 7C, 7D
Quadratic Functions (Core 1 - Chapter 2)
Wednesday 18th September 2013
LO: ALL Students can solve quadratic equations by using the equation
LO: MOST Students can leave solutions in simplest surd form
LO: SOME Students can use the discriminant
Teacher led recap on using the formula
Teacher examples of using the formula with surd answers and using the discriminant
c/w C1 Text, Pages22-25, Exercises 2E, 2F, 2G
Wednesday 11th September 2013
LO: ALL Students can solve quadratic equations by factorisation
LO: MOST Students can rewrite quadratic equations by completing the square
LO: SOME Students can solve quadratic equations by completing the square
Teacher introduction to course
Teacher led recap on basic quadratics - To be tested
Key examples of solving quadratics, completing the square
c/w C1 Text, Pages19-21, Exercises 2B, 2C, 2D
Taster Week
Wednesday 17th July 2013
LO: ALL Students can plot a scatter diagram and state the association between the two variables
LO: MOST Students can calculate the product moment correlation coefficient, r
LO: SOME Students can interpret the value of r in a given question
Teacher introduction to course and breakdown of AS and A2 modules
Introduction to Statistics 1 module - key topics and learning concepts
Introduction to Correlation - Student pack available
Key Learning - Scatter Diagrams, Coefficient of Correlation, Coding, Interpretation
c/w Student Pack, Exercise 6E
Click HERE for your summer taste of maths - please do find the time to check this out