Grade 10 - Mathematics - Milani Education

This subject will cover the following

Algebraic expressions

1. The real number system

00:00
2. Rational and irrational numbers

00:00
3. Rounding off

00:00
4. Estimating surds

00:00
5. Products

00:00
5.1 Products Tutorial

11:56
5.2 Special products of binomials

10:51
6. Factorisation

00:00
6.1 Difference of Cube Factoring

04:27
6.2 Factor by Grouping

14:11
6.3 Factoring quadratic expressions

16:45
6.4 Factoring special products

10:23
7. Simplification of fractions

00:00
7.1 Adding and subtracting rational expressions part 1

08:29
7.2 Adding and subtracting rational expressions part 2

03:11
7.3 Adding and subtracting rational expressions part 3

06:37
7.4 Adding rational expressions part 1

06:55
7.5 Adding rational expressions part 2

06:37
7.6 Fractions lesson – addition and subtraction part 1

10:08
7.7 Fractions lesson – addition and subtraction part 2

04:55
7.8 Fractions lesson – addition and subtraction part 3

15:20
7.9 Fractions lesson – addition and subtraction part 4

10:17
7.10 Fractions lesson – addition and subtraction part 5

06:47
7.11 Fractions lesson – change of a sign

06:53
7.12 Fractions lesson – multiplication and division

16:22
7.13 Multiplying and dividing rational expressions part 1

09:33
7.14 Multiplying and dividing rational expressions part 2

05:06
7.15 Multiplying and dividing rational expressions part 3

04:24
8. Worksheets

00:00

Exponents and surds

1. Revision of exponential laws

00:00
1.1 Exponents addition and subtraction

03:54
1.2 Exponents multiplication and division

03:54
2. Rational exponents

00:00
2.1 Fractional exponent expressions part 1

02:16
2.2 Fractional exponent expressions part 2

07:46
2.3 Fractional exponent expressions part 3

06:46
2.4 Simplifying radical expressions part 1

02:51
2.5 Simplifying radical expressions part 2

03:03
2.6 Simplifying radical expressions part 3

03:23
2.7 Simplifying square roots

05:50
2.8 Zero negative and fractional exponents

14:18
3. Exponential equations

00:00
4. Basic surd laws

00:00
4.1 Simplifying radicals

09:58
4.2 Adding and simplifying radicals

04:55
4.3 Subtracting and simplifying radicals

05:59
4.4 Multiply and simplify a radical expression

04:39
4.5 Divide and simplify a radical expression

03:21
4.6 Simplifying cube roots

05:38
5. Negative exponents

00:00
5.1 Negative exponents

05:05
5.2 Negative and positive exponents

02:33
5.3 Negative exponent intuition

04:52
5.4 Simplifying expressions with exponents part 1

02:24
5.5 Simplifying expressions with exponents part 2

03:49

Number patterns

Equations and inequalities

1. Solving linear equations involving fractions

00:00
1.1 Rational equations

04:30
1.2 Solving rational equations

04:46
1.3 Multi-step equation

03:25
2. Solving quadratic equations

00:00
2.1 Using the quadratic formula

16:46
2.2 Solving a quadratic equation by factorising part 1

06:36
2.3 Solving a quadratic equation by factorising part 2

03:33
2.4 Polynomial equations in fraction form

09:43
2.5 Extraneous solutions to rational equations

03:17
3. Solving simultaneous equations

03:38
3.1 Simultaneous equations

00:00
3.2 Special types of linear systems

15:32
3.3 Solving linear systems by graphing

08:44
3.4 Solving linear systems by substitution

09:35
3.5 Simple elimination practise

04:32
3.6 Systems with elimination practise

05:45
3.7 Practise thinking about solutions to systems

06:50
3.8 Practise using substitution for systems

04:35
4. Word problems

00:00
4.1 Word problems part 1

05:35
4.2 Word problems part 2

03:56
4.3 Word problems part 3

06:42
4.4 Patterns and equations

13:32
5. Literal equations

00:00
6. Solving linear inequalities

05:55
6.1 Linear inequality

05:55
6.2 Compound inequalities

11:59
7. Worksheets

00:00

Trigonometry

1. Similarity of triangles

00:00
2. Defining trigonometric ratios

00:00
3. Reciprocal ratios

00:00
4. Calculator skills

00:00
5. Special angles

00:00
5.1 Angle of elevation and depression

12:11
6. Solving trigonometric equations

00:00
7. Ratios in the cartesian plane

00:00
8. Solving right angles

00:00
8.1 Basic trigonometry part 1

11:19
8.2 Basic trigonometry part 2

12:36
9. Trigonometric functions

00:00

Functions

1. Linear functions

00:00
1.1 Finding the equation of a straight line

04:43
1.2 Functional notation

07:11
1.3 Graphing a basic function

05:50
1.4 Straight line graphs

07:16
2. Quadratic functions

09:37
2.1 Parabola functions

00:00
2.1 Graphing a quadratic function

06:17
2.2 Graphs of quadratic functions

16:19
2.6 Two column proof showing segments are perpendicular

11:20
3. Hyperbolic functions

00:00
3.1 Hyperbolic functions part 1

06:18
3.2 Hyperbolic functions part 2

07:48
3.3 Hyperbola sketching

06:43
3.4 Rational function graph example

08:34
4. Exponential functions

00:00
4.1 Exponential functions part 1

05:17
4.2 Exponential functions part 2

07:02
4.3 Exponential decay functions

11:05
4.4 Exponential growth functions

07:55
4.5 Graphing exponential functions

05:46
5. Trigonometric functions

00:00
5.1 Sin graphs

05:05
5.2 Cos graph

05:59
5.3 Tan graphs

04:58
5.4 Shifting sin and cos graphs

04:54
5.5 Trigonometric graph interpretation

12:00
6. Interpretation of graphs

02:51
6.2 Point of intersection

00:00
7. Graph translation – Vertical shift

00:00
8. Worksheets

00:00

Euclidean geometry

1. Triangles

00:00
1.1 Congruency introduction

03:39
1.2 Congruency proofs

09:56
2. Quadrilaterals

00:00
2.1 Fourth vertex of a parallelogram

04:13
2.2 Proving a parallelogram

04:24
2.3 Proving a rhombus

05:43
2.4 Properties of a quadrilateral

04:23
2.5 Proving a rectangle

04:33
2.6 Two column proof showing segments are perpendicular

11:20
2.7 Geometry part 1

02:58
2.8 Geometry part 2

02:22
3. The mid-point theorem

00:00
4. Geometry revision

00:00
4.1 Geometry revision part 1

17:44
4.2 Geometry revision part 2

27:01
4.3 Geometry revision part 3

17:29
5. Geometry proof riders

15:21

Analytical geometry

1. Drawing figures on the cartesian plane

00:00
1.1 Geogebra part 1

07:59
1.2 Geogebra part 2

07:49
2. Distance between two points

00:00
3. Gradient of a line

00:00
4. Mid-point of a line

00:00
5. Consolidation

00:00
6.1 Linear equations in point slope form

09:52
6.2 Linear equations in point slope intercept form

15:12

Finance and growth

1. Simple interest

00:00
2. Compound interest

00:00
3. Calculations using simple and compound interest

00:00
4. Foreign exchange rates

00:00
5.1 Percentage increase

08:24
5.2 Increase and decrease a value by percentage

08:57
5.3 Original values of discounted prices

19:32
6.1 Calculations involving changing interests

37:40
7. Worksheets

00:00

Statistics

1. Collecting data

13:49
1.1 Collecting and sorting data

00:00
2. Measures of central tendency

00:00
3. Grouping data

00:00
3.1 Stem and leaf plots

20:12
4. Measures of dispersion

00:00
5. Five number summary

00:00
5.1 Box and whisker plot

13:29
6. Representing Data

00:00
7. General concepts

00:00
8. Worksheets

00:00

Measurement

Probability

1. Theoretical probability

00:00
2. Relative frequency

00:00
3. Venn diagrams

00:00
3.1 Venn diagrams 1

18:37
4. Union and intersection

00:00
5. Probability identities

00:00
6. Mutually exclusive events

00:00
7. Complementary events

00:00
8. Dependent & independent events

00:00
9. Tree diagrams

00:00
10. Basic concepts

00:00
11. Worksheets

00:00

This subject will cover the following

Algebraic expressions

1. The real number system

2. Rational and irrational numbers

3. Rounding off

4. Estimating surds

5. Products

5.1 Products Tutorial

5.2 Special products of binomials

6. Factorisation

6.1 Difference of Cube Factoring

6.2 Factor by Grouping

6.3 Factoring quadratic expressions

6.4 Factoring special products

7. Simplification of fractions

7.1 Adding and subtracting rational expressions part 1

7.2 Adding and subtracting rational expressions part 2

7.3 Adding and subtracting rational expressions part 3

7.4 Adding rational expressions part 1

7.5 Adding rational expressions part 2

7.6 Fractions lesson – addition and subtraction part 1

7.7 Fractions lesson – addition and subtraction part 2

7.8 Fractions lesson – addition and subtraction part 3

7.9 Fractions lesson – addition and subtraction part 4

7.10 Fractions lesson – addition and subtraction part 5

7.11 Fractions lesson – change of a sign

7.12 Fractions lesson – multiplication and division

7.13 Multiplying and dividing rational expressions part 1

7.14 Multiplying and dividing rational expressions part 2

7.15 Multiplying and dividing rational expressions part 3

8. Worksheets

Exponents and surds

1. Revision of exponential laws

1.1 Exponents addition and subtraction

1.2 Exponents multiplication and division

2. Rational exponents

2.1 Fractional exponent expressions part 1

2.2 Fractional exponent expressions part 2

2.3 Fractional exponent expressions part 3

2.4 Simplifying radical expressions part 1

2.5 Simplifying radical expressions part 2

2.6 Simplifying radical expressions part 3

2.7 Simplifying square roots

2.8 Zero negative and fractional exponents

3. Exponential equations

4. Basic surd laws

4.1 Simplifying radicals

4.2 Adding and simplifying radicals

4.3 Subtracting and simplifying radicals

4.4 Multiply and simplify a radical expression

4.5 Divide and simplify a radical expression

4.6 Simplifying cube roots

5. Negative exponents

5.1 Negative exponents

5.2 Negative and positive exponents

5.3 Negative exponent intuition

5.4 Simplifying expressions with exponents part 1

5.5 Simplifying expressions with exponents part 2

Number patterns

1. Linear (Arithmetic) Sequences

1.1 Linear number patterns

1.2 Quadratic number patterns

Equations and inequalities

1. Solving linear equations involving fractions

1.1 Rational equations

1.2 Solving rational equations

1.3 Multi-step equation

2. Solving quadratic equations

2.1 Using the quadratic formula

2.2 Solving a quadratic equation by factorising part 1

2.3 Solving a quadratic equation by factorising part 2

2.4 Polynomial equations in fraction form

2.5 Extraneous solutions to rational equations

3. Solving simultaneous equations

3.1 Simultaneous equations

3.2 Special types of linear systems

3.3 Solving linear systems by graphing

3.4 Solving linear systems by substitution

3.5 Simple elimination practise

3.6 Systems with elimination practise