Ә.Н.Шыныбеков. Оқыту әдістемесі, Алгебра 8-сынып, 2011

I. Structure of the Algebra–8 textbook

II. Brief information about the textbook content

III. Planning of instructional material

IV. Thematic methodological guidelines

Chapter I. Square root

1. Definition of a square root

2. Concept of an irrational number

3. Correspondence between real numbers and points on a line

4. Properties of square roots

5. Graph of the square-root function

Additional problems for Chapter I

Chapter II. Quadratic equations

1. Quadratic equation and its roots

2. Quadratic formula

3. Vieta's theorem

4. Properties of the roots of a quadratic equation

5. Rational equations. Problems reducible to quadratic equations

6. Solving systems of second-degree equations

Additional problems for Chapter II

Chapter III. Quadratic function

1. Quadratic function and its graph

2. Transformations of a function graph

3. Some properties of functions

4. Solving equations and systems of equations in two variables graphically

Additional problems for Chapter III

Chapter IV. Quadratic inequalities

1. Proving inequalities

2. Solving quadratic inequalities

3. Solving rational inequalities

4. Representation of plane figures by equations, inequalities in two variables and their systems

5. Statistical characteristics

Additional problems for Chapter IV

Supplementary materials for advanced study of mathematics

Chapter V. Real numbers

1. Natural numbers. Divisibility tests

2. Prime and composite numbers

3. Greatest common divisor and least common multiple

4. Division of integers with remainder

5. Solving linear indeterminate equations

6. Pigeonhole principle

Additional problems for Chapter I

Supplementary materials for Chapter II

Additional problems for Chapter III

Additional problems for Chapter IV