MAT CLIL 3

Programme for class 1

Introduction to mathematics. Basic concepts[10h]

Number sets and operations on numbers [12h]

1.2.01.The set of natural numbers and the set of integers 1.2.01 Worksheet 1.2.01 Answers
1.2.02. The set of rational numbers and the set of irrational numbers 1.2.01 Worksheet 1.2.02 Answers
1.2.03. Laws of operations on real numbers 1.2.03 Worksheet 1.2.03 Answers
1.2.04. Solving equations - the method of equivalent equations 1.2.04 Worksheet 1.2.04 Answers
1.2.05. Solving inequalities - the method of inequalities 1.2.05 Worksheet 1.2.05 Answers
1.2.06a. Per cent, per mille 1.2.06a Worksheet 1.2.06a Answers
1.2.06b. Compound interest 1.2.06b Worksheet 1.2.06b Answers
1.2.07. Percentage points
1.2.08. Absolute value. Equations and inequalities with absolute value.
1.2.09. Approximations, estimations and absolute and relative errors. 1.2.09 Worksheet pl 1.2.09 Worksheet en

Algebraic expressions [17h]

Plane geometry – basic concepts [7h]

1.4.01. Preliminary concepts 1.4.01 Worksheet 1.4.02a Answers
1.4.02a. Distance between two shapes 1.4.02a Worksheet 1.4.02a Answers
1.4.02b. Perpendicular bisector and angle bisector 1.4.02b Worksheet 1.4.02b Answers
1.4.03. Two parallel lines and transversal
1.4.04. Parallel lines and Thales's Theorem
1.4.05. Circles and disks
1.4.05a. Mutual position of a circle and a line
1.4.05b. Mutual position of two circles
1.4.06. Angles and circles Movie | Maths Genie | Circle theorems 1.4.06 Worksheet 1.4.06 Answers

Plane geometry - triangles [10h]

Trygonometry of a convex angle [8h]

1.6.01a. Trigonometry of an acute angle | Proctractor vs Trigonometric tables 1.6.01a Worksheet 1.6.01a Answers
1.6.01b. Trigonometry of an acute angle | Solving right triangles 1.6.01b Worksheet 1.6.01b Answers
1.6.01c. Trigonometry of an acute angle | Mixed problems1.6.01c Worksheet
1.6.02. Trigonometry of a convex angle and basic identities1.6.02 Worksheet
Sinus, cosinus, tangens in a right triangle | Mixed problems from Mathematics Enhancement Programme Chapter 4.7 in pdf file

Plane geometry - the area of a circle and a triangle. [7h]

Functions and their properties. [14h]

1.8.01a. The concept of a function. Domain and range of a function. 1.8.01a Worksheet [pdf]
1.8.01b. Functions, graphs and a vertical test. 1.8.01b Worksheet [pdf]
1.8.01c. Vertical test. 1.8.01c Worksheet [pdf]
1.8.02. Functions given by a formula. 1.8.02 Worksheet [pdf]
1.8.04. Domain of a function. 1.8.04 Worksheet [pdf] 1.8.04 Answers [pdf]
1.8.06. Zeros of a function. 1.8.06 Worksheet [pdf] 1.8.06 Answers [pdf]
1.8.09. Reading properties of a function from its graph. 1.8.09 Worksheet [pdf] 1.8.09 Answers [pdf]

Function graphs transformations. [8h]

1.9.01. The concept of a vector in the coordinate system.
1.9.02. Translation by a vector
1.9.03. Translation of a function graph by a vector along the ox axis
1.9.04. Translation of a function graph by a vector along the oy axis
1.9.05. Translation function graph by any vector
1.9.06. Line symmetry
1.9.07. Line symmetry of a function graph about ox axis
1.9.08. Line symmetry of a function graph about oy axis
1.9.06. Central symmetry
1.9.07. Central symmetry of a function graph about the origin
1.9.R Transformations of a function graph - revision 1.9.R. Worksheet en [pdf] | 1.9.T. Worksheet pl [pdf]1.9.T. Test en [pdf] | 1.9.T. Answers en [pdf]