OCR Advanced Level M1: 4728

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Camb.

= Cambridge series

Periods Title

Mathematics Department

OCR Advanced Level M1: 4728

Medium Term Scheme Of Work

Books/Resources

4 5.7.3

Kinematics of motion in a straight line

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

Camb.

M1

Ex 1a p3

Ex 1b p7

Ex 1c p10

Ex 1d p15

Misc. Ex 1 p16 displacement,

(ii) the gradient of a (t,x) graph represents velocity

(iii) the gradient of a (t,v) graph represents

Note: questions to be set for Oct. half term maths suitability test

Assessed work

4 5.7.1

Force as a vector

5.7.4

Newton’s laws acceleration

Understand the vector nature of a force

 Apply Newton’s laws of motion to the linear motion of a body of constant mass moving under the action of constant forces (which of motion

Notes

Camb.

M1

Ex 2a p23

5.7.1

Force as a may include friction);

 Understand the term ‘resultant’ as applied to two or more forces acting at a point

Ex 2b p27

Misc. Ex 2 p28

Assessed work vector

3 5.7.4

Newton’s laws of motion

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

Camb.

M1

Ex 3a p34

Ex 3b p40

Misc. Ex 3 p41

3 5.7.1

Force as a vector 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

Camb.

M1

Ex 4a p47

Ex 4b p53 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

5.7.2

Equilibrium of a particle 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

Misc. Ex 4 p57

End of Term test this

Periods Title

3 5.7.2

Equilibrium of a particle

2 5.7.4

Newton’s laws of motion

3 5.7.2

2 5.7.5

Linear momentum

Equilibrium of a particle

5.7.4

Newton’s laws of motion

2 5.7.1

Force as a vector

2 5.7.2

Equilibrium of a particle

2 5.7.3

Kinematics of motion in a straight line

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.

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

 Use Newton’s third law

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)

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)

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

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