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Maths Digital Learning Courseware for University Foundation Year - The Education Auditoriu

A level Maths Teaching and Learning Resources Platform

Through our eLearning platform, we serve schools and colleges with A level Maths teaching and learning resources including Pure Maths Y1 and Y2, Statistics & Mechanics Y1 and Y2 in a form of thoroughly structured online tutorials, homework, assessments, and more!​

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A-level Maths School Subscription £250 Excl. VAT

In-depth Tutorials 

- Nearly all Maths topics are covered

- Helpful for long-term retention 

- Invaluable when it comes to exam revising

- Reduces the need for re-teaching 

- Reduces the impact of students & teacher accidental absence

Maths Tutorial Videos
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The Students Practice Page

- Students find their specific topics to practice

- Maths practice for long-term retention 

- Reduces the teaching time for revising prior exams 

- Reduces the impact of students & teacher accidental absence

The Practice Page for Students Revision
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Creating Students Homeworks 

- Select from a large questions bank

- Create an assignment in less than 5 minutes

- All assignments are auto-graded 

- Save Lecturers Time

5 Minutes Homework Generator
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GeoGebra Activities (our partner) 

  • GeoGebra interactive elements for in-class teaching

  • GeoGebra practice activities for your students

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Performance Report 

- Displays student gradebook

- Provides students & class performance report

- Monitor the amount of student has practiced 

-  Highlights weak areas of  individual students 

- Gathers invaluable statistical information in different format to use for different purposes

Students Gradebooks and Classes Performance Reports
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The Benefits for   Educators

Time & cost saving

  • Using our questions bank, tutors can create & publish any homework & test to students in less than 5 minute

  • All our homework and tests are auto-graded & automatically saved to the Student Grade Table

Eliminate the need for constant teaching & mitigate students & teachers absence
  • Owing to our extensive library of curriculum aligned tutorial videos, it eliminates the need for constant re-teaching & it mitigates students & teachers absence

Other Benefits
  • In-depth tutorials for the applied Mathematics modules which cover all the A-level Statistics & Mechanics topics

  • Organising our tutorials in topic-format helps in eliminating overwhelming efforts needed by teachers during the short revision period before exams

  • Our LMS provides you with a comprehensive reports for student & class performance

The Benefits for   Students

Abundance of Auto-graded practice questions

  • Abundance of auto-graded practice questions for each topics to improve long-term skill retention, boosting student engagement and skill mastery.

Extensive curriculum-based Tutorial
  • A generous amount of comprehensive curriculum-based videos ensures long-term retention, increases student motivation and confidence

Other Benefits
  • Owing to the topic-format & being digital materials, that gives the ability to less able students to re-learn & practice any lesson over & over at their own time & comprehension ability till the new ideas sink in well which reduces the performance gap between students

TOC - Maths Digital Learning Courseware for A-level
Pure Maths Year 1

Chapter 1: Algebraic Expressions

1.1 Index Law

1.2 Expanding Brackets

1.3 Factorising

1.4 Negative and Fractional Indices

1.5 Surds

1.6 Rationalising Denominators

Chapter 2: Quadratics

2.1.1 Solving Quadratic Equation by factorising
2.1.2 Solving Quadratic Equation by Formula

2.2 Completing The Square 

2.3 Functions 

2.4 Quadratic Graphs

2.5 Discriminant

2.6 Modelling With Quadratics

Chapter 3: Equations and Inequalities

3.1 Linear Simultaneous Equation
3.2 Quadratic Simultaneous Equations
3.3 Simultaneous Equations on Graphs
3.4 Linear Inequalities
3.5 Quadratic Inequalities
3.6 Inequalities on Graphs
3.7 Regions

Chapter 4: Graphs and Transformations

4.1 Cubic Graphs

4.2 Quartic Graphs 

4.3 Reciprocal Graphs 

4.4 Point of Intersection

4.5 Translating Graphs

4.6 Stretching Graphs

4.7 Transforming Function

Chapter 5: Straight Line Graphs

5.1 Straight Line y = mx + c

5.2 Equation of Straight Lines

5.3 Parallel and Perpendicular Lines

5.4 Length and Area

5.5 Modelling with Straight Lines

Chapter 6: Circles

6.1 Midpoints and perpendicular bisectors

6.2 Equation of a circle

6.3 Intersections of straight lines and circles

6.4 Use tangent and chord properties

6.5 Circles and triangles

Chapter 7: Algebraic Methods

Unit 19 Partial fractions

7.1 Algebraic Fractions

7.2 Dividing Polynomials

7.3 The Factor Theorem

7.4 Mathematical Proof

7.5 Methods of Proof

Chapter 8: The Binomial Expression

8.1 Pascal's Triangle
8.2 Factorial Notation
8.3 The Binomial Expansion
8.4 Solving Binomial Problems
8.5 Binomial Estimation

Chapter 9:Trigonometric Ratio

9.1 The Cosine Rule
9.2 The Sine Rule
9.3 Areas of Triangles

9.4 Solving Triangle Problems

9.5 Graphs of Sine, Cosine and Tangent

9.6 Transforming Trigonometric Graphs

Chapter 10: Trigonometric Identities and Equations

10.1 Angles in all four quadrants

10.2 Exact values of trigonometric ratios

10.3 Trigonometrical identities

10.4 Simple trigonometric equations

 

10.5 Harder trigonometric equations

10.6 Equations and identities

Chapter 11: Vectors

11.1 Vectors Intro

11.2 Representing Vectors

 

11.3 Magnitude and direction

11.4 Position Vectors

11.5 Solving Geometric Problems

11.6 Modelling with Vectors

Chapter 12: Differentiation

12.1 Gradients of curves

12.2 Finding the derivatives

12.3 Differentiating x^n

12.4 Differentiating quadratics

12.5 Differentiating functions with two or more terms

12.6 Gradients ,tangent and normal

12.7 Increasing and decreasing functions

12.8 Second order derivative

12.9 Stationary points

12.10 Sketching gradient functions

12.11 Modelling with differentiation

Chapter 13: Integration

13.1 integrating x^n

13.2 Indefinite Integrals

13.3 Finding Functions

13.4 Definite Integrals

13.5 Areas Under Curves

13.6 Areas under the x- axis

13.7 Areas Between Curves and Lines

Chapter 14: Exponentials and Logarithms

14.1 Exponential functions

14.2 Integrating y = e^x

14.3 Exponential modelling

14.4 Logarithms 

14.5 Laws of logarithms

14.6 Solving equations using logarithms

14.7 Working with natural logarithms 

14.8 Logarithms and non linear data

TOC - Maths Digital Learning Courseware for A-level
Pure Maths Year 2

Chapter 1: Algebraic Methods

1.1: Proof by Contradiction

1.2: Algebraic Fractions

1.4: Repeated Factors

1.5: Algebraic Division

Chapter 2: Functions and Graphs

2.1: The Modulus Function

2.2: Functions and Mappings

2.3: Composite Functions

2.4: Inverse Functions

2.5: y = I f(x) I and y = f( IxI )

2.6: Combining Transformations

2.7: Solving Modulus Problems

Chapter 3: Sequences and Series

3.1: Arithmetic Sequences

3.2: Arithmetic Series 

3.3: Geometric Sequences 

3.4: Geometric Series

3.5: Sum of Infinity

3.6: Sigma Notation 

3.7: Recurrence Relations

3.8: Modelling with Series

Chapter 4: Binomial Expansion

4.1:.Expanding (1+x)^n

4.2. Expanding (a + bx)^n

4.3. Using Partial Fractions

Chapter 5: Radians

5.1: Radian measure

5.2: Arc Length

5.3: Areas of Sectors and Segments

5.4: Solving Trigonometric Equations

5.5: Small Angle Approximations

Chapter 6: Trigonometric Functions

6.1. Secant, Cosecant and Cotangent6.2. Graphs of sec x, cosec x and cot x6.3. Using sec x, cosec x and cot x6.4. Trigonometric Identities6.5. Inverse Trigonometric Functions

Chapter 7: Trigonometry and Modelling

7.1. Addition Formulae

7.2. Using the angle addition formulae

7.3.  Double-angle formulae

7.4. Solving Trigonometric Equations

7.5. Simplifying a cos x ± b sin x

7.6. Proving Trigonometric Identities

7.7. Modelling with Trigonometric Functions

Chapter 8: Parametric Equations

8.1: Parametric Equations
8.2: Using Trigonometric Identities
8.3: Curve Sketching

8.4: Points of Intersection
8.5: Modelling with Parametric Equations

Chapter 9: Differentiation

9.1: Differentiating sin x and cos x

9.2: Differentiating Exponentials and Logarithms

9.3: The Chain Rule

9.4: The Product Rule

9.5: The Quotient Rule

9.6: Differentiating Trigonometric Functions

9.7: Parametric Differentiation

9.8: Implicit Differentiation

9.9: Using Second Derivatives

Chapter 10: Numerical Methods

10.1: Locating Roots

10.2: Iteration

10.3: The Newton-Raphson method

10.4: Applications to Modelling

Chapter 11: Integration

11.1. Integrating Standard Functions

11.2. Integrating f(ax + b)

11.3. Using Trigonometric Identities

11.4. Reverse Chain Rule

11.5. Integration by Substitution

11.6. Integration by Parts

11.7. Partial Fractions

11.8. Finding Areas 

11.9. The Trapezium Rule

11.1.: Solving Differential Equations

11.11. Modelling with Differential Equations

11.12. Integration as the Limit of a Sum

Chapter 12: Vectors

12.1: 3D Coordinates

12.2: Vectors in 3D

 

12.3: Solving Geometric Problems

 

12.4: Application to Mechanics

TOC - Maths Digital Learning Courseware for A-level
Statistics and Mechanics Year 1

Statistics Chapter 1 - Data Collection

1.1. Populations and Samples 

1.2. Sampling 

1.3. Non-Random Sampling 

1.4. Types of data 

1.5. The Large Data Set

Chapter 2 - Measures of Location and Spread

2.1: Measure of Central Tendency

2.2: Other Measures of Location

2.3 : Measures of spread

2.4 : Variance and standard deviation

2.5 : Coding

Chapter 3 - Representations of Data

3.1. Outliers

3.2. Box plots

3.3. Cumulative Frequency

3.4. Histogram

3.5. Comparing Data

Chapter 4 - Correlations

4.1. Correlation
4.2. Linear Regression

Chapter 5 - Probability

5.1: Calculating Probabilities

5.2: Venn Diagrams 

5.3: Mutually Exclusive and Independent Events

5.4: Tree Diagrams

Chapter 6 - Statistical distribution

6.1: Probability Distributions

6.2: The Binomial Distribution

6.3: Cumulative Probability

Chapter 7 - Hypothesis testing

7.1: Hypothesis Testing

7.2: Finding Critical Values

7.3: One-tailed Tests 

7.4: Two-tailed Tests

Chapter 8 - Modelling in Mechanics

8.1: Constructing a Model

8.2: Modelling Assumptions

8.3: Quantities and Units

8.4: Working with Vectors

Chapter 9 - Constant Acceleration

9.1: Displacement-Time Graph

9.2: Velocity-Time Graph

9.3: Constant Acceleration Formulae 1

9.4: Constant Acceleration Formulae 2

9.5: Vertical Motion Under Gravity

Chapter 10 - Forces and Motion

10.1. Force Diagrams

10.2. Forces as Vectors

10.3. Forces and Acceleration

10.4. Motion in 2 dimensions

10.5. Connected Particles

10.6. Pulleys

Chapter 11 - Variable Acceleration

11.1. Function of Time

11.2. Using Differentiation

11.3. Maxima and Minima Problems

11.4. Using Integration

11.5. Constant Acceleration Formulae

TOC - Maths Digital Learning Courseware for A-level
Statistics and Mechanics Year 2

Chapter 1 - Regression, Correlation and Hypothesis Testing

1.1. Exponential Models
1.2. Measuring Correlation
1.3. Hypothesis Testing for Zero Correlation.

Chapter 2 - Conditional Probability

2.1. Set Notation

2.2. Conditional Probability

2.3. Conditional Probabilities in Venn Diagrams

2.4. Probability Formulae

2.5: Tree Diagrams

Chapter 3 - The Normal Distribution

3.1. The Normal Distribution 

3.2. Finding Probabilities for Normal Distributions

3.3.The Inverse Normal Distribution Function

3.4. The Standard Normal Distribution 

3.5. Finding µ and σ 

3.6. Approximating a Binomial Distribution

3.7. Hypothesis Testing with the Normal Distribution

Chapter 4 - Moments

4.1. Moments

4.2. Resultant Moments 

4.3. Equilibrium 

4.4. Centers of Mass 

4.5. Tilting

Chapter 5 - Forces and Friction

5.1. Resolving Forces

5.2. Inclined Planes

5.3. Friction

Chapter 6 - Projectiles

6.1. Horizontal Projection 

6.2. Horizontal and Vertical Components 

6.3. Projection at an Angle 

6.4. Projectile Motion Formulae

Chapter 7 - Applications of Forces

7.1. Static Particles 

7.2. Modeling With Statics 

7.3. Friction and Static Particles 

7.4. Static Rigid Bodies

7.5. Dynamics and Inclined Planes

7.6. Connected Particles

Chapter 8 - Further Kinematics

8.1. Vectors in Kinematics

8.2. Vector Methods With Projectiles

 8.3. Variable Acceleration in One Dimension 

8.4. Differentiating Vectors 

8.5. Integrating Vectors

Here's What's Included in the A-level Maths Digital Learning Subscription Pack for One Academic Year
for £250 Excl. VAT 

1

All Pure Maths Courseware

  • Pure Mathematics 124 Different Topics

  • 700+ Tutorial Videos

  • 100s of Interactive Practice Questions

  • 100s Auto-graded Homeworks & Assessments

*Common Features

  • Gradebooks & Performance Reports

  • Student-lecturer 2-way Messaging Capability from within each specific assignment

2

All Statistics Courseware

  • Statistics, 98 Different Topics

  • 500+ Tutorial Videos

  • 100s of Interactive Practice Questions

  • 100s Auto-graded Homeworks & Assessments

  • All common features stated in column 1

3

All Mechanics Courseware

  • Mechanics, 87 Different Topics

  • 450+ Tutorial Videos

  • 100s of Interactive Practice Questions

  • 100s Auto-graded Homeworks & Assessments

  • All common features stated in column

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 The Offer Includes Further Maths, A-level Maths, GCSE Further Maths & GCSE Maths

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