Planimetry courses - course 82,560 rub. from SkySmart, training 69 lessons, Date: December 5, 2023.
Miscellaneous / / December 08, 2023
We will teach you to understand the signs and properties of figures, to easily cope with any planimetry tasks
In 10 lessons we will explain the 5 most difficult topics, which we failed to understand in school lessons
The student communicates with the teacher, watches videos and solves problems in one tab.
One click and the student is in class
Keep track of your progress in your personal account: homework scores, solved assignments, completed topics.
At the end of each month, the teacher will tell parents about the progress of the course.
“It’s cool to see the fire in the eyes of a student who finally understands a difficult topic. Shall we try together?
“Math is easier than you think. Especially when we teach it using examples that you can understand!”
“I will teach you how to apply even the most complex topics in practice. In our classes, everyone can fall in love with such “complicated” mathematics!”
Triangles
Let's remember the types of triangles and their properties, learn how to construct figures correctly and solve problems of increasing complexity.
Examples of topics:
Isosceles, equilateral and right triangles.
Perimeter and area of a triangle.
The concepts of “leg” and “hypotenuse”.
Bisector, midline and altitude of a triangle.
Pythagorean theorem.
Parallelogram
Let's talk about the differences between a parallelogram and other figures and help you remember its properties without memorizing them. And then we’ll figure out what types of problems you might encounter it in.
Examples of topics:
The concept of "parallelogram".
Properties of a parallelogram about the diagonal and bisector.
Area of a parallelogram.
Rectangle, rhombus, square
Let's take a closer look at the properties of three geometric shapes: rectangle, rhombus and square. We will learn to find their sides, calculate area and perimeter, and also tell you why a rhombus and a rectangle have the same properties.
Examples of topics:
The concept of "rectangle".
The concept of "rhombus".
The concept of "square".
Signs and properties of a rectangle.
Signs and properties of a rhombus.
Trapezoid and midline of trapezoid
We will tell you what kind of geometric figure is called a trapezoid, and teach you how to skillfully give proofs to problems about its properties.
Examples of topics:
The concept of "trapezoid".
The sides and base of the trapezoid.
Isosceles and rectangular trapezoid.
Properties and signs of a trapezoid.
Midline of trapezoid.
Inscribed and central angles
Let's remember what angles are and dive into their new varieties. We'll explain in simple terms the difference between inscribed and central angles, and teach you tricks to remember formulas for new topics.
Examples of topics:
Central corner.
Inscribed angle.
Properties of central and inscribed angles.
Circular sector in planimetry.
Chords and tangents
Let's introduce new concepts - chords and tangents to a circle. And then we’ll talk about useful theorems and teach you how to use them for proofs in problems.
Examples of topics:
Tangent to a circle.
Properties of a tangent to a circle.
Theorem about two secants drawn through a point
outside the circle.
Chord.
Theorem about two intersecting chords.
Circle and triangle, circle and quadrilateral
Let's look at everything important that is connected with inscribed and circumscribed circles. We will teach you to memorize useful formulas, correctly construct a proof in a problem and understand, rather than learn theory.
Examples of topics:
Radius of the inscribed circle.
Properties of a circle circumscribed around a triangle or quadrilateral.
The diameter of the circumscribed circle.
Area of inscribed and circumscribed circles.