Grade 11 - Mathematics - Milani Education

This subject will cover the following

Exponents and surds

1. Solving surd equations

00:00
1.1 Solving radical equations part 1

03:26
1.2 Solving radical equations part 2

02:29
1.3 Solving radical equations part 3

03:49
1.4 Solving radical equations part 4

04:36
1.5 Radical equation example 1

05:31
1.6 Radical equation example 2

12:08
2. Application of exponentials

00:00
2.1 Exponents Part 1

27:13
2.2 Exponents Part 2

12:05
2.3 Exponents lesson 1

18:15
3. Rational exponents and surds

10:39
3.1 Simplifying radical expressions

08:11
3.2 Radical expressions with higher roots

09:01
4. Worksheets

00:00

Equations and inequalities

1. Completing the square

00:00
1.1 Completing the square part 1

07:39
1.2 Completing the square part 2

14:03
1.3 Completing the square part 3

05:39
1.4 Completing the square part 4

06:28
1.5 Solving quadratic equations by completing the square

14:20
2. Quadratic formula

00:00
2.1 Solving quadratic equations by square root

11:18
2.2 Proof of quadratic formula

07:59
3. Substitution

00:00
4. Finding the equation

00:00
5. Nature of roots

00:00
5.1 The nature of roots

21:34
5.2 Discriminant of quadratic equations

10:29
6. Quadratic inequalities

00:00
6.1 Quadratic inequalities part 1

10:04
6.2 Quadratic inequalities part 2

10:04
7. Simultaneous equations

00:00
7.1 Solving systems of equations by elimination

12:58
7.2 Solving systems of equations by multiplication

12:15
8. Word problems

00:00
8.1 Solving quadratic equations by factorising part 1

06:09
8.2 Solving quadratic equations by factorising part 2

08:36
8.3 Applying radical equations part 1

05:39
8.4 Applying radical equations part 2

07:10
8.5 Applying radical equations part 3

03:34
8.6 Applying rational equations part 1

05:40
8.7 Applying rational equations part 2

06:14
9. Rate equations

00:00
9.1 Another take at the rate problem

03:49
10. Worksheets

00:00

Number patterns

1. Quadratic sequences

00:00
1.1 Quadratic sequences Part 1

02:17
1.2 Quadratic sequences Part 2

03:59
1.3 Quadratic sequences

08:09
1.4 Quadratic number patterns advance part 1

02:17
1.5 Quadratic number patterns advance part 2

03:58
1.6 Quadratic number patterns

08:08
1.7 Sequences and series

19:27
2. Linear (arithmetic) sequences

00:00
2.1 Sequences and series lesson 1

30:44
3. Worksheets

00:00

Analytical geometry

1. Equation of a line

00:00
2. Inclination of a line

00:00
3. Parallel and Perpendicular lines

00:00
3.1 Equations of parallel and perpendicular lines

09:27
4. Midpoint formula

06:55
5. Distance formula

09:51
6. Consolidation

00:00
6.1 Analytical Geometry consolidated

14:31
7. Worksheets

00:00

Functions

1. Quadratic functions

00:00
1.1 Horizontal shifts

29:20
1.2 Parabola Part 1

07:37
1.3 Parabola Part 2

20:00
1.4 Applying quadratic functions part 1

04:54
1.5 Applying quadratic functions part 2

09:57
1.6 Applying quadratic functions part 3

07:00
1.7 Quadratic functions part 1

04:18
1.8 Quadratic functions part 2

07:37
1.9 Quadratic functions part 3

06:38
1.10 Quadratic roots

14:41
2. Average gradient

00:00
3. Hyperbolic functions

00:00
3.1 Hyperbola sketching

06:43
4. Exponential functions

00:00
5. The sine function

00:00
6. The cosine function

00:00
7. The tangent function

00:00
7.1 Sketching in different intervals Part 1

26:32
7.2 Sketching in different intervals Part 2

01:38
8. Transformations

00:00
8.1 Translating and reflecting functions

07:26
8.2 Questions involving translating and reflecting functions

09:58
9. Domain and range

29:49
9.1 Domain and range of a function given a formula

08:21
9.2 Domain of a radical function

02:01
10. Trig graphs: Period changes

29:22
11. Worksheets

00:00

Trigonometry

1. Trigonometric identities

00:00
1.1 Trigonometric identities

25:07
1.2 Proving trigonometric identities

21:07
1.3 Proving trigonometric identities V1

15:15
1.4 Finding where identities are undefined

07:06
2. Reduction formula

00:00
2.1 Reduction of negative formula

31:15
2.2 Trigonometric quadrants

14:49
2.3 Co-functions

22:11
2.4 Trigonometry reduction formula

19:33
2.5 Reduction of special and non-special angles

25:42
3. Trigonometric equations

00:00
3.1 Boundary angles and factorisation

27:54
3.2 Trigonometric equations part 1

11:11
3.3 Trigonometric equations part 2

17:27
3.4 Trigonometric equations part 3

08:42
3.5 Trigonometric equations part 4

16:21
3.6 Trigonometric equations part 5

19:09
3.7 Solving trigonometric equations

22:40
3.8 General solution of trig equations

28:48
3.9 Horizontal shifts

00:00
3.10 Solving simple trig equations

23:59
3.11 Solving complex trig equations

19:42
3.12 Solving trig equations V2

22:51
3.13 Finding solutions in a given interval

20:56
3.14 General solutions of trig equations part 1

26:18
3.15 General solutions of trig equations part 2

15:41
3.16 Boundary angles

10:56
4. Area, sine and cosine rules

00:00
4.1 Solution of triangles

24:28
5. Special angles

25:10
6. Trigonometry quadrants

00:00
7. Trig Graphs

00:00
7.1 General trig graphs

26:29
8. Right angled triangles

00:00
8.1 Using reduction to express trig ratios in terms of variable

14:06
9. Worksheets

00:00
10. Consolidation

00:00
10.1 Trigonometry revision part 1

26:34
10.2 Trigonometry revision part 2

16:18
10.3 Trigonometry revision part 3

27:06
10.4 Trigonometry revision part 4

19:59
10.5 Trigonometry revision Part 5

13:48
10.6 Trigonometry revision Part 6

23:31

Measurement

Euclidean geometry

1. Circle Geometry

00:00
1.1 Language and notation of the circle

11:26
1.2 Circle geometry strategies

18:22
2. Circular geometry theorems

00:00
2.1 Angle at centre Part 1

15:44
2.2 Angle at centre Part 2

17:00
2.3 Angles in semi circle in same segment

11:11
2.4 Tangents to a circle Part 1

21:23
2.5 Tangents to a circle Part 2

13:04
2.6 Chord theorems

21:11
3. Cyclic quadrilaterals

00:00
3.1 Cyclic quadrilateral Part 1

17:09
3.2 Cyclic quadrilaterals Part 2

16:22
3.3 Concyclic points

11:18
4. Proofs

00:00
4.1 Chord theorem proofs

04:42
4.2 Angle at centre proof

10:08
4.3 Opposite angles cyclic quadrilateral proof

05:28
4.4 Tangent chord theorem proof

08:43
5. Circle geometry riders

00:00
5.1 Circle geometry rider 1

10:29
5.2 Circle geometry rider 2

07:37
5.3 Circle geometry rider 3

11:33
5.4 Circle geometry rider 4

07:14
5.5 Circle geometry rider 5

08:56
5.6 Circle geometry rider 6

05:28
6. Worksheets

00:00

Finance, growth and decay

Probability

1. Dependent and independent events

00:00
2. Venn diagrams

00:00
2.1 Venn diagrams Part 1

18:37
2.2 Venn diagrams Part 2

19:25
3. Tree diagrams

33:36
3.1 Tree diagrams

00:00
4. Two-way tables and conditional probability

00:00
4.1 Conditional probability

28:29
5. Consolidation

00:00
6. Worksheets

00:00

Statistics

1. Histograms

00:00
2. Ogives

00:00
3. Variance and standard deviations

00:00
3.1 Range, variation and standard deviation as measures of dispersion

12:48
4. Symmetric and skewed data

00:00
5. Identification of outliers

00:00
6. Cumulative Frequency

00:00
7. Quartiles, 5 number summary and boxplots

00:00
8. Worksheets

00:00

This subject will cover the following

Exponents and surds

1. Solving surd equations

1.1 Solving radical equations part 1

1.2 Solving radical equations part 2

1.3 Solving radical equations part 3

1.4 Solving radical equations part 4

1.5 Radical equation example 1

1.6 Radical equation example 2

2. Application of exponentials

2.1 Exponents Part 1

2.2 Exponents Part 2

2.3 Exponents lesson 1

3. Rational exponents and surds

3.1 Simplifying radical expressions

3.2 Radical expressions with higher roots

4. Worksheets

Equations and inequalities

1. Completing the square

1.1 Completing the square part 1

1.2 Completing the square part 2

1.3 Completing the square part 3

1.4 Completing the square part 4

1.5 Solving quadratic equations by completing the square

2. Quadratic formula

2.1 Solving quadratic equations by square root

2.2 Proof of quadratic formula

3. Substitution

4. Finding the equation

5. Nature of roots

5.1 The nature of roots

5.2 Discriminant of quadratic equations

6. Quadratic inequalities

6.1 Quadratic inequalities part 1

6.2 Quadratic inequalities part 2

7. Simultaneous equations

7.1 Solving systems of equations by elimination

7.2 Solving systems of equations by multiplication

8. Word problems

8.1 Solving quadratic equations by factorising part 1

8.2 Solving quadratic equations by factorising part 2

8.3 Applying radical equations part 1

8.4 Applying radical equations part 2

8.5 Applying radical equations part 3

8.6 Applying rational equations part 1

8.7 Applying rational equations part 2

9. Rate equations

9.1 Another take at the rate problem

10. Worksheets

Number patterns

1. Quadratic sequences

1.1 Quadratic sequences Part 1

1.2 Quadratic sequences Part 2

1.3 Quadratic sequences

1.4 Quadratic number patterns advance part 1

1.5 Quadratic number patterns advance part 2

1.6 Quadratic number patterns

1.7 Sequences and series

2. Linear (arithmetic) sequences

2.1 Sequences and series lesson 1

3. Worksheets

Analytical geometry

1. Equation of a line

2. Inclination of a line

3. Parallel and Perpendicular lines

3.1 Equations of parallel and perpendicular lines

4. Midpoint formula

5. Distance formula

6. Consolidation

6.1 Analytical Geometry consolidated

7. Worksheets

Functions

1. Quadratic functions

1.1 Horizontal shifts

1.2 Parabola Part 1

1.3 Parabola Part 2

1.4 Applying quadratic functions part 1

1.5 Applying quadratic functions part 2

1.6 Applying quadratic functions part 3

1.7 Quadratic functions part 1