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Pure 1 - Chapter 11+12

thomas.payne

Created on December 13, 2023

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LO's

Chapter 11 - Vectors

y d𝑥

b2-4ac

A = lw

Old

New

AS

Knowledge check 1

Related

Ans B

Ans A

11.1 - Vectors

Rules

Rules

y d𝑥

b2-4ac

A = lw

AS

11.1 - Vectors

Rules

Rules

y d𝑥

b2-4ac

A = lw

AS

11.1 - Vectors

Rules

Rules

y d𝑥

b2-4ac

A = lw

AS

11.1 - Vectors

Rules

Rules

y d𝑥

b2-4ac

A = lw

AS

11.1 - Vectors

Rules

Rules

y d𝑥

b2-4ac

A = lw

AS

11.2 - Representing Vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.2 - Representing Vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.2 - Representing Vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.2 - Representing Vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.2 - Representing Vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.3 - Magnitude & Direction

Rules

y d𝑥

b2-4ac

A = lw

AS

11.3 - Magnitude & Direction

Rules

y d𝑥

b2-4ac

A = lw

AS

11.3 - Magnitude & Direction

Rules

y d𝑥

b2-4ac

A = lw

AS

11.4 - Position vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.4 - Position vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.5 - Solving geometric problems

Rules

y d𝑥

b2-4ac

A = lw

AS

11.5 - Solving geometric problems

Rules

y d𝑥

b2-4ac

A = lw

AS

11.5 - Solving geometric problems

Rules

y d𝑥

b2-4ac

A = lw

AS

11.6 - Modelling with vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

11.6 - Modelling with vectors

Rules

y d𝑥

b2-4ac

A = lw

AS

LO's

Chapter 12 - Differentiation

y d𝑥

Knowledge check 1

b2-4ac

Knowledge check 2

A = lw

Old

New

AS

Related

12.1 - Gradients of curves

y d𝑥

b2-4ac

A = lw

AS

12.2 - Finding the derivative

y d𝑥

b2-4ac

A = lw

AS

12.2 - Finding the derivative

y d𝑥

b2-4ac

A = lw

AS

12.3 - Differentiating xn

Rules

y d𝑥

b2-4ac

A = lw

AS

12.3 - Differentiating xn

Rules

y d𝑥

b2-4ac

A = lw

AS

12.4 - Differentiating quadratics

Rules

y d𝑥

b2-4ac

A = lw

AS

12.4 - Differentiating quadratics

Rules

y d𝑥

b2-4ac

A = lw

AS

12.5 - Differentiating functions with two or more terms

Rules

y d𝑥

b2-4ac

A = lw

AS

12.5 - Differentiating functions with two or more terms

Rules

y d𝑥

b2-4ac

A = lw

AS

12.6 - Gradients, tangents and normals

Rules

y d𝑥

b2-4ac

A = lw

AS

12.6 - Gradients, tangents and normals

Rules

y d𝑥

b2-4ac

A = lw

AS

12.7 - Increasing and decreasing functions

Rules

y d𝑥

b2-4ac

A = lw

AS

12.7 - Increasing and decreasing functions

Rules

y d𝑥

b2-4ac

A = lw

AS

12.8 - Second order derivatives

Rules

y d𝑥

b2-4ac

A = lw

AS

12.8 - Second order derivatives

Rules

y d𝑥

b2-4ac

A = lw

AS

12.9 - Stationary points

y d𝑥

b2-4ac

A = lw

AS

12.9 - stationary points

Rules

y d𝑥

b2-4ac

A = lw

AS

12.9 - stationary points

y d𝑥

b2-4ac

A = lw

AS

12.9 - stationary points

Rules

y d𝑥

b2-4ac

A = lw

AS

12.9 - stationary points

Rules

y d𝑥

b2-4ac

A = lw

AS

12.10 - Sketching gradient functions

Rules

y d𝑥

b2-4ac

A = lw

AS

12.10 - Sketching gradient functions

Rules

y d𝑥

b2-4ac

A = lw

AS

12.11 - modelling with differentiation

Rules

y d𝑥

b2-4ac

A = lw

AS

12.11 - modelling with differentiation

Rules

y d𝑥

b2-4ac

A = lw

AS

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

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.

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

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.

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation

A Level

Higher

Foundation

b2-4ac

dy

dx

f(𝑥+a)

y d𝑥

Logs

A Level

Higher

Foundation