Download AQA M1 - The Further Mathematics Support Programme

Further Mathematics Support Programme
AQA M1 – 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 M1 – Scheme of Work Template - 2016-2017
Topic
Specification statements
Suggested Integral Resources
Kinematics 1: The
constant
acceleration
formulae and
graphs
 Displacement, speed,
velocity, acceleration.
 Sketching and interpreting
kinematics graphs.
 Use of constant acceleration
equations.
 Vertical motion under
gravity.
 Average speed and average
velocity.
 Application of vectors in two
dimensions to represent
position, velocity or
acceleration.
 Use of unit vectors i and j.
 Magnitude and direction of
quantities represented by a
vector.
 Finding position, velocity,
speed and acceleration of a
particle moving in two
dimensions with constant
acceleration.
 Problems involving resultant
velocities.
► AQA_M1
/ ► Kinematics in one
dimension
/ ► Kinematics in one
dimension 1: Using graphs
 Walkthrough: Displacementtime graphs
 Walkthrough: Velocity-time
graphs
 Graphs of motion teaching
activities
 Explore: Displacement-time
graphs (Geogebra)
 Explore: Velocity-time graphs
(Geogebra)
 Skill pack: Displacement-time
graphs
 Skill pack: Velocity-time
graphs
 Exercise level 1
 Exercise level 2
► AQA_M1
/ ► Kinematics in one
dimension
/ ► Kinematics in one
dimension 2: Constant
acceleration
Assessment
(Integral
Resources)
Live Interactive
Lecture
Other resources
Kinematics 1: The
constant
acceleration
formulae and
graphs
PhET simulation: The
moving man
nrich: Dangerous
driver
PhET simulation:
Motion in 2D
PhET simulation:
Maze game
 Section Test K1
 Walkthrough: Constant
acceleration equations 1
 Walkthrough: Constant
acceleration equations 2
 Constant acceleration
equations teaching activities
 Skill pack: Constant
acceleration equations
 Exercise level 1
 Exercise level 2
 Section Test K2
► AQA_M1
/ ► Kinematics in two
dimensions
/ ► Kinematics in two
dimensions 1: Using vectors
 Kinematics in 2D teaching
activities
 Exercise level 1
 Exercise level 2
 Section Test V1
► AQA_M1
/ ► Kinematics in one dimension
 Kinematics in one dimension topic assessment
► AQA_M1
/ ► Kinematics in two dimensions
Statics 1: Forces
and equilibrium
 Drawing force diagrams,
identifying forces present
and clearly labelling
diagrams.
 Force of gravity (Newton’s
Universal Law not required)
► AQA_M1
/ ► Force
/ ► Force 1: Forces and
equilibrium
 Force teaching activities
 Kinematics in two dimensions topic assessment
Statics 1: Forces
nrich: Bridge builder
and equilibrium
nrich: More bridge
building
Statics 2: Friction
 Normal reaction forces.
 Tensions in strings and rods,
thrusts in rods.
 Modelling forces as vectors.
 Finding the resultant of a
number of forces acting at a
point.
 Finding the resultant force
acting on a particle.
 Knowledge that the resultant
force is zero if a body is in
equilibrium.
 Friction, limiting friction,
coefficient of friction and the
relationship of F ≤ μR.
 Exercise level 1
 Exercise level 2
► AQA_M1
/ ► Force
/ ► Force 2: Friction
 Friction teaching activities
 Exercise level 1
 Exercise level 2
Dynamics 1:
Impulse and
momentum
 Concept of momentum.
 The principle of conservation
of momentum applied to two
particles.
 Section Test F1
► AQA_M1
/ ► Momentum
/ ► Momentum 1:
Conservation of momentum
 Exercise level 1
 Exercise level 2
Statics 2: Friction
 Section Test F2
► AQA_M1
/ ► Force
 Force topic assessment
Dynamics 1:
Impulse and
momentum
 Section Test M1
► AQA_M1
/ ► Momentum
 Momentum topic assessment
Dynamics 2:
Newton’s laws of
motion
Dynamics 3:
Connected
particles
 Newton’s three laws of
motion.
 Simple applications of the
above to the linear motion of
a particle of constant mass.
 Use of F = μR as a model for
dynamic friction.
 Connected particle problems.
► AQA_M1
/ ► Newton's laws of motion
/ ► Newton's laws of motion
1: Newton's laws
 Walkthrough: A force acting
on an object
 Walkthrough: Resultant force
for motion in a straight line
 Newton’s laws teaching
activities
 Exercise level 1
 Exercise level 2
► AQA_M1
/ ► Newton's laws of motion
/ ► Newton's laws of motion
2: Connected objects
 Connected objects teaching
activities
 Exercise level 1
 Exercise level 2
Kinematics 2:
Projectiles
 Motion of a particle under
gravity in two dimensions.
 Calculate range, time of flight
and maximum height.
 Modification of equations to
take account of the height of
release.
► AQA_M1
/ ► Projectiles
/ ► Projectiles 1: Projectile
motion
 Projectiles teaching activities
 Exercise level 1
 Exercise level 2
Dynamics 2:
Newton’s laws of
motion
PhET simulation:
Forces in one
dimension
PhET simulation: The
ramp
 Section Test N1
Dynamics 3:
Connected
particles
 Section Test N2
► AQA_M1
/ ► Newton's laws of motion
 Newton’s laws of motion topic assessment
Kinematics 2:
PhET simulation:
Projectiles
Projectile motion
nrich: Model
solutions
nrich: Dam Busters 1
 Section Test P1
► AQA_M1
/ ► Projectiles
 Projectiles topic assessment
Consolidation and
revision
FMSP - Revision
Videos
The study plans available on Integral Resources refer to Advancing Maths for AQA: Mechanics 1 (M1) (ISBN 9780435513368) and Advanced Maths for AQA:
Mechanics M1 (ISBN 9780199149384). Other textbooks covering this course may be available, and Integral Mathematics Resources does not endorse any
particular set of textbooks.