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Pure 1 - Chapter 11+12
thomas.payne
Created on December 13, 2023
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Transcript
Knowledge check 1
Ans A
Ans B
Related
New
Old
LO's
AS
y d𝑥
Chapter 11 - Vectors
A = lw
b2-4ac
Rules
Rules
AS
y d𝑥
A = lw
b2-4ac
11.1 - Vectors
Rules
Rules
AS
y d𝑥
A = lw
b2-4ac
11.1 - Vectors
Rules
Rules
AS
y d𝑥
A = lw
b2-4ac
11.1 - Vectors
Rules
Rules
AS
y d𝑥
A = lw
b2-4ac
11.1 - Vectors
Rules
Rules
AS
y d𝑥
A = lw
b2-4ac
11.1 - Vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.2 - Representing Vectors
Rules
AS
y d𝑥
A = lw
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11.2 - Representing Vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.2 - Representing Vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.2 - Representing Vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.2 - Representing Vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.3 - Magnitude & Direction
Rules
AS
y d𝑥
A = lw
b2-4ac
11.3 - Magnitude & Direction
Rules
AS
y d𝑥
A = lw
b2-4ac
11.3 - Magnitude & Direction
Rules
AS
y d𝑥
A = lw
b2-4ac
11.4 - Position vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.4 - Position vectors
Rules
AS
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A = lw
b2-4ac
11.5 - Solving geometric problems
Rules
AS
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A = lw
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11.5 - Solving geometric problems
Rules
AS
y d𝑥
A = lw
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11.5 - Solving geometric problems
Rules
AS
y d𝑥
A = lw
b2-4ac
11.6 - Modelling with vectors
Rules
AS
y d𝑥
A = lw
b2-4ac
11.6 - Modelling with vectors
Knowledge check 1
Knowledge check 2
Related
New
Old
LO's
AS
Chapter 12 - Differentiation
y d𝑥
A = lw
b2-4ac
AS
y d𝑥
A = lw
b2-4ac
12.1 - Gradients of curves
AS
y d𝑥
A = lw
b2-4ac
12.2 - Finding the derivative
AS
y d𝑥
A = lw
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12.2 - Finding the derivative
Rules
AS
y d𝑥
A = lw
b2-4ac
12.3 - Differentiating xn
Rules
AS
y d𝑥
A = lw
b2-4ac
12.3 - Differentiating xn
Rules
AS
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A = lw
b2-4ac
12.4 - Differentiating quadratics
Rules
AS
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A = lw
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12.4 - Differentiating quadratics
Rules
AS
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A = lw
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12.5 - Differentiating functions with two or more terms
Rules
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A = lw
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12.5 - Differentiating functions with two or more terms
Rules
AS
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12.6 - Gradients, tangents and normals
Rules
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A = lw
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12.6 - Gradients, tangents and normals
Rules
AS
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12.7 - Increasing and decreasing functions
Rules
AS
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A = lw
b2-4ac
12.7 - Increasing and decreasing functions
Rules
AS
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A = lw
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12.8 - Second order derivatives
Rules
AS
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A = lw
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12.8 - Second order derivatives
AS
y d𝑥
A = lw
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12.9 - Stationary points
Rules
AS
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A = lw
b2-4ac
12.9 - stationary points
AS
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A = lw
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12.9 - stationary points
Rules
AS
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A = lw
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12.9 - stationary points
Rules
AS
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12.9 - stationary points
Rules
AS
y d𝑥
A = lw
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12.10 - Sketching gradient functions
Rules
AS
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A = lw
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12.10 - Sketching gradient functions
Rules
AS
y d𝑥
A = lw
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12.11 - modelling with differentiation
Rules
AS
y d𝑥
A = lw
b2-4ac
12.11 - modelling with differentiation
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Chapter 11 Learning Objectives
- Use vectors in two dimensions.
- Use column vectors and carry out arithmetic operations on vectors.
- Calculate the magnitude and direction of a vector.
- Understand and use position vectors.
- Use vectors to solve geometric problems.
- Understand vector magnitude and use vectors in speed and distance calculations.
- Use vectors to solve problems in context.
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Chapter 11 Learning Objectives
- Use vectors in two dimensions.
- Use column vectors and carry out arithmetic operations on vectors.
- Calculate the magnitude and direction of a vector.
- Understand and use position vectors.
- Use vectors to solve geometric problems.
- Understand vector magnitude and use vectors in speed and distance calculations.
- Use vectors to solve problems in context.
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level
Foundation
Higher
A Level
y d𝑥
Logs
dx
dy
f(𝑥+a)
b2-4ac
Foundation
Higher
A Level