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Mathematics Department
OCR Advanced Level M1: 4728
Medium Term Scheme Of Work
Camb. = Cambridge series
Periods
4
4
Title
5.7.3
Kinematics of
motion in a
straight line
5.7.1
Force as a
vector
5.7.4
Newton’s laws
of motion
3
3
5.7.1
Force as a
vector
5.7.4
Newton’s laws
of motion
5.7.1
Force as a
vector
Breakdown

Use appropriate formulae for motion with
constant acceleration
 Understand the concepts of distance and
speed as scalar quantities, and of
displacement, velocity and acceleration as
vector quantities (in one direction only);
 Sketch and interpret (t,x) and (t,v) graphs,
and in particular understand and use the
facts that
(i) the area under a (t,v) graph represents
displacement,
(ii) the gradient of a (t,x) graph represents
velocity
(iii) the gradient of a (t,v) graph represents
acceleration
 Understand the vector nature of a force

Misc. Ex 1 p16
Note: questions to be set
for Oct. half term maths
suitability test
Assessed work
Notes
Camb. M1
Ex 2a p23
Apply Newton’s laws of motion to the linear
motion of a body of constant mass moving
under the action of constant forces (which
may include friction);
Ex 2b p27

Understand the term ‘resultant’ as applied
to two or more forces acting at a point
Misc. Ex 2 p28
Assessed work

Model, in suitable circumstances, the
motion of a body moving vertically or on an
inclined plane, as motion with constant
acceleration and understand any limitations
of this model;
Understand the vector nature of a force,
and use directed line segments to represent
forces (acting in at most two dimensions)
Understand the term resultant as applied to
two or more forces acting at a point, and
use vector addition in solving problems
involving resultants and components of
forces (solutions involving calculation,
rather than scale drawing, will be expected)
Find and use perpendicular components of
a force to find the resultant of a system of
forces or to calculate the magnitude and
direction of a force.
Identify the forces acting in a given
situation, and use the relationship between
mass and weight
Understand and use the principle that when
a particle is in equilibrium the vector sum of
the forces acting is zero and equivalently
that the sum of the resolved parts in any
given direction is zero, and the converse of
this
Camb. M1
Ex 3a p34
Ex 3b p40




5.7.2
Equilibrium of a
particle
Books/Resources
Camb. M1
Ex 1a p3
Ex 1b p7
Ex 1c p10
Ex 1d p15

Misc. Ex 3 p41
Camb. M1
Ex 4a p47
Ex 4b p53
Misc. Ex 4 p57
End of Term test
Periods
Title
3
5.7.2
Equilibrium of a
particle
Breakdown




Use the model of a smooth contact and
understand the limitations of the model;
Represent the contact force between two
rough surfaces by two components, the
normal force and the frictional force,
understand the concept of limiting friction
and limiting equilibrium, recall the definition
of coefficient of friction, and use the
relationship F=R and F R
Use Newton’s third law
Model, in suitable circumstances, the
motion of a body moving vertically or on an
inclined plane, as motion with constant
acceleration and understand any limitations
of this model.
2
5.7.4
Newton’s laws
of motion
3
5.7.2
Equilibrium of a
particle
5.7.4
Newton’s laws
of motion

Use Newton’s third law

5.7.5
Linear
momentum

Solve simple problems that may be
modelled as the motion of two particles,
connected by a light inextensible string that
may pass over a fixed smooth peg or light
pulley.
Recall and use the definition of linear
momentum and show understanding of its
vector nature (in one dimension only)
Understand and use conservation of linear
momentum in simple applications involving
the direct collision of two bodies moving in
the same straight line before and after
impact, including the case where the bodies
coalesce (knowledge of impulse and the
coefficient of restitution is not required).
Understand the term resultant as applied to
two or more forces acting at a point, and
use vector addition in solving problems
involving resultants and components of
forces (solutions involving calculation,
rather than scale drawing, will be expected)
2
2
2
2
5.7.1
Force as a
vector
5.7.2
Equilibrium of a
particle
5.7.3
Kinematics of
motion in a
straight line



Identify the forces acting in a given
situation, and use the relationship between
mass and weight
 Understand and use the principle that when
a particle is in equilibrium the vector sum of
the forces acting is zero and equivalently
that the sum of the resolved parts in any
given direction is zero, and the converse of
this
Use differentiation and integration with respect to
time to solve problems concerning displacement,
velocity and acceleration (restricted to calculus
within the scope of module P1)
Books/Resources
Camb. M1
Ex 5a p66
Ex 5b p71
Misc. Ex5 p73
Assessed work
Camb. M1
Ex 6a p78
Ex 6b p81
Ex 6c p87
Misc. ex 6 p89
Assessed work
Camb. M1
Ex 7a p99
Ex 7b p107
Ex 7c p111
Misc. Ex 7 p112
Assessed work
Camb. M1
Ex 8a p119
Ex 8b p122
Misc. ex 8 p123
Assessed work
Camb. M1
Ex 9a p131
Ex 9b p139
Misc. Ex 9 p140
Assessed work
Camb. M1
Ex 10a p148
Ex 10b p153 (optional)
Misc. Ex 10 p155
Camb. M1
Ex 11a p162
Ex 11b p167
Misc. Ex 11 p170