Week Topics of study Home/Independent Learning Assessment (If in addition to homework) 7 th September 2015

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1 Week Topics of study Home/Independent Learning Assessment (If in addition to homework) 7 th September Teacher feedback to prompt action FP1: No lessons Student to write feedback in here when necessary No lessons Statics and Forces: Identify different types of forces (PLC 3.A) and Draw diagrams showing all forces acting on a body (PLC 3.B). Resolve forces into perpendicular components (PLC 3.C). Ex 3A, pg 53 Student to write feedback in here when necessary 14 th September FP1: Chapter 1 Roots (Part 1) A. Find the roots of a quadratic equation B. Find the product and sum of roots of a quadratic equation. M1: Chapter 1 Kinematics: Define a scalar and a vector quantity and give examples (PLC 1.A) Calculate average velocity/speed (PLC 1.B). Interpret displacement/time graphs e.g. using gradient to find velocity/speed; area under for distance/displacement (PLC 1.C). Interpret acceleration/time graphs (PLC 1.D). Memorise the SUVAT equations (PLC 1.E). Solve basic constant acceleration problems (PLC 1.F) Ex 1A, p4 Ex 2B, pg 18 Ex 2C, pg 23 M1: Chapter 3 Statics and Forces: Find the magnitude of a force (PLC 3.D). Find angles between forces and given directions (PLC 3.E). Calculate unknown forces for a system in equilibrium, or find the resultant force for

2 a system not in equilibrium (PLC 3.F). Calculate unknown forces for a system in equilibrium, or find the resultant force for a system not in equilibrium when in 2D using I and j notation (PLC 3.G). Ex 3B, pg st September FP1: Chapter 1 Roots (Part 2) C. Evaluate the product and sum of symmetrical functions. D. Form new equations with roots which are symmetrical functions involving roots of the original equation. Ex 1B, page 8 Ex 1C, page 10 M1: Chapter 1 Kinematics: Solve problems involving motion of a particle moving vertical under gravity (PLC 1.G). Vector notation (PLC 1.I). Use SUVAT for vectors in two dimensions (PLC 1.J). M1: Chapter 3 Statics and Forces: Model effects of friction (PLC 3.G). Understand the phrase limiting equilibrium (PLC 3.J). Calculate details of motion and forces on a slope, including reaction force and friction (PLC 3.I). Ex 2D, pg 26 Ex 2F, pg 37 Ex 2G, pg 40 Ex 3C, pg 71 Three weekly assessment : M1 topics so far 28 th September FP1: Chapter 2 Series (Part 1) A. Understand the sigma notation for the sum of a series B. Evaluate the sums of series involving squares and cubes using the formulae. C. Manipulate formula for the sums of squares and cubes Ex 2A, page 17 Ex 2B, page 20

3 M1: Chapter 1 Kinematics: Understand the idea of position vector and how to find it (PLC 1.K). Know that when a question mentions the word travelling it is referring to velocity vector (PLC 1.L) Solve problems involving the position vector or the velocity vector (e.g. find the time at which the particle is travelling South-East; find the speed when it is due north of the origin etc) (PLC 1.M). M1: Chapter 3 Statics and Forces: Calculate details of motion and forces on a slope, including reaction force and friction when there is an additional horizontal force. Consolidation/practise of chapter 3. Revision Exercise 2, pg 43 Exam-style questions SUVAT assignment Revision Exercise 3, pg 73 Statics and forces assignment 5 th October FP1: Chapter 2 Series (Part 2) D. Know how to apply the above skills when the sum does not start at r=1. E. Recognise questions which involve the formulae for sum of squares and cubes when not given in sigma notation. and cubes Ex 2C, page 22 M1: Chapter 4 Newton s Laws: Know Newton s three laws of motion (PLC 4.A). Use Newton s second law in problems including forming equations of motion (PLC 4.C and 4.D). Ex 4A, pg 80 Ex 4b, pg 85 M1: Chapter 5 Linear Momentum: Understand the concept of momentum as a vector (mv) and calculate the momentum of a body (PLC 5.A and 5.B). Understand the principle of conservation of momentum and Ex 5A, pg 106 Revision exercise 5, pg 109

4 use it to calculate final/initial velocity or mass of an object in a collision. (PLC 5.C and 5.D). 12 th October FP1: Chapter 3 Matrices Basics A. Find the order of a matrix B. Understand how to add & subtract matrices C. Be able to multiply matrices by a scalar. D. Understand how to multiply matrices and that the order is important. E. Recognise identity matrices and zero matrices F. Recognise the effect of multiplication by the identity and zero matrices. M1: Chapter 4 Newton s Laws: Solve problems involving connected particles- one horizontal & both hanging freely (PLC 4.G, 4.H). M1: Chapter 5 Linear Momentum: Use the principle of conservation of momentum in two dimensions to calculate final/initial velocity or mass of an object in a collision (PLC 5.F). Revision Exercise 3, page 35 Ex 5A, pg 106 Revision exercise 5, pg 109 Momentum assignment Three weekly assessment : FP1 topics so far 19 th October FP1: Chapter 4 Transforming Matrices (Part 1) A. Know the exact value of certain sines and cosines in surd form B. Identify an enlargement from its matrix C. Identify a one-way stretch from its matrix D. Identify a rotation from its matrix E. Identify a reflection from its matrix F. Identify a combination of transformation from a matrix Ex 4A, page 40 Ex 4B, page 42 Ex 4C, page 44 M1: Chapter 4 Newton s Laws: Use Newton s third law in problems (PLC 4.E), and Revision exercise 4, pg 95

5 practise & consolidation of all chapter 4. Newton s laws assignment Core 3 material: product rule and quotient rule. 2 nd November Half-term week FP1: Chapter 4 Transforming Matrices (Part 2) G. Represent a given transformation by a matrix Ex 4D, page 48 H. Represent a given combination of transformations by a matrix I. Combine two transformations using their matrices understanding that order is important. M1: Chapter 6 Projectiles: Model the motion of a projectile fired horizontally (PLC 6.A). Model the motion of a projectile fired from the ground level. Core 3 material: basic intro to log, e and ln (mostly how to differentiate/integrate) as logs will be covered partially in core 2. 9 th November FP1: Chapter 5 Graphs of Rational Functions (Part 1) A. Find the equations of asymptotes to graphs of rational functions with linear numerator and denominator. B. Find the equations of asymptotes to graphs of rational functions with a quadratic in either the numerator or denominator or both and consider where the graph crosses the horizontal asymptote. C. Recognise when there is no vertical asymptote. D. Find the points of intersection of these graphs with the coordinate axes E. Sketch the graphs of all the above rational functions Ex 5A, page 57 Ex 5B, page 59 Ex 5C, page 61 Ex 5D, page 63 EX 5E, page 64

6 M1: Chapter 6 Projectiles: Model the motion of a projectile fired from a point above ground level or which hits the ground at a point higher than starting point (PLC 6.C and 6.D).Calculate the range of a projectile. Calculate the time of flight of a projectile. Calculate the final velocity. Calculate the final speed. (PLC 6.G-I) Core 3 material: Separating variables. 16 th November FP1: Chapter 5 Graphs of Rational Functions (Part 2) A. Find the equations of asymptotes to graphs of rational functions with linear numerator and denominator. B. Find the equations of asymptotes to graphs of rational functions with a quadratic in either the numerator or denominator or both and consider where the graph crosses the horizontal asymptote. C. Recognise when there is no vertical asymptote. D. Find the points of intersection of these graphs with the coordinate axes E. Sketch the graphs of all the above rational functions M1: Chapter 6 Projectiles: Calculate the angle the particle makes to the ground when it hits. Calculate the time the object reaches maximum height, and the maximum itself. Derive the formula for maximum height. Solve more difficult problems involving the maximum height of a projectile (PLC 6.K-L). Core 3 material: Integration by substitution. Ex 5A, page 57 Ex 5B, page 59 Ex 5C, page 61 Ex 5D, page 63 EX 5E, page 64 Three weekly assessment : M 1 topics so far 23 rd November FP1: Chapter 5 Graphs of Rational Functions (Part 3) F. Find the stationary points on these graphs G. Solve inequalities algebraically H. Solve inequalities graphically. M1 Jan 2006 Ex 5F, page 68 Ex 5G, page 71

7 M1: Chapter 6 Projectiles: Consolidation and practise Ex 6A, pg 119 Revision Ex 6, pg 120 Projectiles Assignment Core 3 material: Addition angle formulae and double angle. 30 th November FP1: Chapter 6 Conics (part 1) A. Recognise the standard equations of parabolas, ellipses and hyperbolas B. Sketch the graphs of these shapes C. Interpret the intersection of a straight line with a conic D. Be able to translate, stretch and reflect these curves and include sketches where asked. M1 Revision: Teacher will use the time to check that all corrections to assignments have been done, re-teaching certain topics where necessary. Students work on some of the exercises given in the independent learning section that they have not yet completed. Core 3 material: Practise of all so far. M1 June 2006 Ex 6A, page 80 Ex 6B, page 82 Ex 6C, page 86 M1 Jan th December FP1: Chapter 6 Conics (part 2) A. Recognise the standard equations of parabolas, ellipses and hyperbolas B. Sketch the graphs of these shapes C. Interpret the intersection of a straight line with a conic D. Be able to translate, stretch and reflect these curves and include sketches where asked. Teacher will use the time to check that all corrections to assignments have been done, re-teaching certain topics where necessary. Students work on some of the exercises given in the independent learning section that they have not yet completed. Ex 6D, page 90 Ex 6E, page 94

8 Teacher will use the time to check that all corrections to assignments have been done, re-teaching certain topics where necessary. Students work on some of the exercises given in the independent learning section that they have not yet completed. M1 June th December PPE WEEK M1 exam Christmas Holidays- Teacher 2 to set M1 Jan 08 and June 08. Teacher 3 to set core 3 material practise. 4 th January FP1: Chapter 7 Complex Numbers (part 1) A. Be able to add, subtract and multiply complex numbers B. Find the conjugate of a complex number C. Solve quadratic equations with non-real roots. M2: Chapter 4- Work energy and Power A Calculate the work done by a constant force. B Calculate gravitational potential energy. C Calculate kinetic energy. D Use the principle of conservation of mechanical energy. E Use the workenergy principle E Use the work-energy principle F Calculate power. M2 Chapter 1: Calculus in kinematics A Use calculus to find position, velocity and acceleration of a particles moving with a variable acceleration along a straight line. Ex 7A, page 100 Ex 7B, page 103 Ex 4A, pg 66 Ex 4B, pg 74 Ex 4C, pg 78 Ex 1A, pg 7 Revision Ex 1, pg 18 M1 Jan th January FP1: Chapter 7 Complex Numbers (part 2) D. Know how to equate real and imaginary parts E. Solve equations involving complex numbers and complex conjugates. Ex 7C, page 105

9 M2: Chapter 4- Work energy and Power H Use equation P = Fv in the context of a car engine, using P a the engine power and F as the driving force. The F in this equation is not net force! I Find maximum speed on a flat surface given the power or vice versa. M2 Chapter 1: Calculus in kinematics B Use calculus to find position, velocity and acceleration vectors of a particles moving in two or three dimensional space. C Apply Newton s laws of motion to situations involving variable acceleration. Ex 4D, pg 82 Ex 1B, pg 16 Revision Ex 1, pg 18 M1 June th January FP1: Chapter 8 Calculus (part 1) A. Be able to differentiate a polynomial function from first principles. B. Apply the above skills to find the gradient/equations of tangents. Ex 8A, page 111 Ex 8B, page 113 M2: Chapter 4- Work energy and Power J Find maximum speed on a slope given the power or vice versa. K State and explain modelling assumptions. M2 Chapter 1/7: Calculus in kinematics/ Differential equations D Use Newton s second law to form a simple differential equation. E Use the method of separating variables to solve a simple differential equation. Revision Ex 4, p85 Work, Energy, Power assignment Ex 7A, pg 145 Ex 7B, pg 149 Three weekly assessment : topics so far M1 Jan th January FP1: Chapter 8 Calculus (part 2) C. Recognise an improper integral D. Evaluate improper integrals where possible by considering limits and separating into two integrals when necessary. Ex 8C, page 117

10 M2: Chapter 6- Circular motion A Convert between different units for angular speed/velocity B Know and use the relationships between linear and angular velocity. C Know and use the relationships for Force and acceleration with angular/linear velocity. D Model the motion of a particle moving in a circle with constant speed. M2 Chapter 1/7: Calculus in kinematics/ Differential equations F Use a given initial condition to find the constant of integration when using the method of separating variables. This may just be a statement such as initially the object is stationary. Ex 6A, pg 115 6B, pg 117 Revision Ex 7, pg 151 M1 June st February FP1: Chapter 9 Trigonometry A. Find general solutions involving cosines in degrees and radians. B. Find general solutions involving sines in degrees and radians. C. Find general solutions involving tangents in degrees and radians. C. Find general solutions involving tangents in degrees and radians. D. Solve problems involving finding specific values and number of terms.. Ex 9A, page 122 Ex 9B, page 124 Ex 9C, page 127 M2:Chapter 6- Circular motion E Model the motion of a particle moving as a conical pendulum. Ex 6D, pg 127 M2 Chapter 1/7: Calculus in kinematics/ Differential equations F Use a given initial condition to find the constant of integration when using the method of separating variables. This may just be a statement such as initially the object is stationary. Revision Ex 7, pg 151 Calculus in kinematics assignment M1 Jan 2011

11 8 th February FP1: Chapter 10 Numerical Solutions (Part 1) A. Locate a root within an interval by considering change of sign (only with continuous functions). B. Use interval bisection to locate a root within a smaller interval. C. Use linear interpolation to find an approximation of a root. M2:Chapter 6- Circular motion F Model the motion of a particle moving in a vertical circle. G Use energy considerations to e.g. form an expression for v or v 2 in a vertical circle Ex 10A, page 133 Ex 10B, page 134 Ex 6E, pg 134 Three weekly assessment : topics so far M2: Chapter 2 Moments A Identify and label all forces in a diagram before considering moments. B Find the moment of a force about a given point. C Know the conditions necessary for a rigid body to be in equilibrium. D Calculate unknown forces acting on a rigid body in equilibrium Ex 2A, pg 24 Ex 2B, pg 27 M1 June nd February Half- term week FP1: Chapter 10 Numerical Solutions (Part 2) D. Use Newton-Raphson to find an approximation of a root. E. Use Euler formula for an approximate numerical solution to a differential equation. M2: Chapter 6- Circular motion H Recognise which force or forces are giving rise to the net centripetal force (e.g. friction, tension, weight, normal reaction. I Form equations of motion for an object which is moving in a vertical circle.. Ex 10C, page 137 Ex 10D, page 139 Exam style questions Revision exercise 6, pg 138 M2: Chapter 2 Moments E Use resolving forces when calculating a moment. F Apply moments calculations to a ladder problem. G Apply moments calculations to more difficult problems. Ex 2C, pg 30Ex 2D, pg 39 Revision ex 2, pg 41 Exam questions Moments assignment

12 29 th February FP1: Chapter 11 Linear Laws A. Reduce a relation to a linear law using algebraic manipulation. B. Use logarithms to reduce relations involving indices or exponentials to a linear law. M1 Jan 2012 Ex 11A, page 147 Ex 11B, page th March 14 th March M2:Chapter 6- Circular motion J Form and solve an equation for when a particle leaves the surface of e.g. a hemisphere M2: Chapter 3 Centre of Mass B Understand the concept of a centre of mass. C Find the centre of mass of a system of particles. D Find the centre of mass of a simple uniform body by symmetry. F Find the centre of mass of a composite body. Revision of M1 and M2 M2: Chapter 3 Centre of Mass E Find the centre of mass of a triangle. G Find the position of a body when it is suspended in equilibrium (e.g. find the angle that a certain side makes to the vertical). Revision exercise 6, pg 138 Circular motion assignment Ex 3A, pg 49 Ex 3B, pg 55 M1 June 2012 M2 June 2006 Revision Exercises and mixed exam questions. Recompleting assignments. Ex 3C, pg 56 Revision Ex 3, pg 58 Centre of mass assignment M1 Jan 2013 M2 Jan 2007 Three weekly assessment : topics so far Revision of M1 and M2 Revision Exercises and mixed exam questions. Recompleting assignments.

13 M2- Catch-up week Consolidation of M2 material so far. Teacher will use this time to check assignments have all been corrected and re-teach any topics which students have struggled with. M1 June 2013 M2 June 2007 EASTER HOLIDAYS Teacher 2/3 to set M1 Jan 2006 and June 2006 and M2 Jan 2008 and June th April M2 Chapter 5: Elasticity A Apply Hooke s law to find the tension in elastic strings and springs. B Calculate elastic potential energy. C Derive the formula for energy stored in elastic strings and springs. Ex 5A, pg 96 M1 Jan 2007 M2 Jan th April M2 Chapter 5: Elasticity D Apply the principle of conservation of mechanical energy to situations involving elastic strings and springs with only EPE and E K needed. E Apply the principle of conservation of mechanical energy to situations involving elastic strings and springs. (Consider : GPE, EPE, E K and work done against resistive forces. Usually you will not need all four at once but read the question carefully to work out which you do). Ex 5B, pg 108 Revision Ex 5, p111 M1 June 2007 M2 June 2009

14 18 th April M2 Chapter 5: Elasticity D Apply the principle of conservation of mechanical energy to situations involving elastic strings and springs with only EPE and E K needed. E Apply the principle of conservation of mechanical energy to situations involving elastic strings and springs. (Consider : GPE, EPE, E K and work done against resistive forces. Usually you will not need all four at once but read the question carefully to work out which you do). Ex 5B, pg 108 Revision Ex 5, p111 M1 Jan 2008 M2 Jan 2010 Three weekly assessment : topics so far 25 th April M1 June 2008 M2 June nd May M1 Jan 2009 M2 Jan 2011 & June 2011

15 9 th May M1 June 2009 M2 Jan 12 and June th May Core 1 18 th May (am) 23 rd May

16 Core 2 25 th May (am) HALF TERM WEEK 6 th June Statistics 1 8 th June (am) 13 th June FP1 15 th June (am) 20 th June Mechanics 1 21 st June (am) Mechanics 2 27 th June (am)

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