Download Group number 3

Problem solving
and geometry
Presentation
prepared by
Lera Antonova-Rudzevich
Gerbrant Agnes
Stroganova Aleksandra
Dyatlov Dmitry
Dmitry Ovcharov
Alexander Shevchenko
Dmitry Peretokin
Knyazeva Alisa
Dedova Darya
Gozh Marya
Coordinates
Students 7B class
Alexander Shevchenko
Dmitry Peretokin
Coordinates
Coordinates are used to
show an exact position
of a point on a grid. Two
numbers from the xaxis and y-axis show the
position
The coordinates of A are (2,3).
Coordinates are always written in
brackets and the numbers are separated
by a comma.
practice
Find it in the city
Cinema
(1;7)
Hospital
(0;0)
Shop
(2;3)
Street
(-7;-6)
House
(-9;1)
School
(-5;7)
Movement geometry
Students 7B class
Gerbrant Agnes,
Stroganova Aleksandra
Movement geometry
Translation
Rotation
A shape can be rotated
about a point, clockwise
or anti-clockwise
Reflection
This is sometimes
called flipping over.
Shape A is reflected.
The dotted line is a line
of reflection.
This is sliding a shape
across, up, down or
diagonally, without
rotating or flipping over.
Shape A has moved
across and down.
Exercise 1. Look at this grid.
1) Copy this grid and figure «T» onto squared paper.
2) Draw the rotation of the figure «T».
3) Write the coordinates of the vertices of the
rotated figure «T».
Patterns
Prepared by Knyazeva
Alice
and Dedova Daria
Exercise
Here are some patterns
Try to draw your patterns, using:
a) Rectangles
b) Triangles
c) Trapeziums
CONSTRUCTING
AND
MEASURING
Prepared by Lera
Antonova-Rudzevich
Gozh Marya
CONSTRUCTING AND MEASURING
There drawing tools are useful for constructing shapes.
Constructing and measuring - in revealing the figure
design features of the depicted object.
Circles
prepared by Dyatlov
Dmitry and Dmitry
Ovcharov
Theory
• Circle – the locus of points in the plane (all points), to which the
distance from a given point called the center of the circle does not
exceed the specified non-negative number, called the radius of the
circle.
• The segment connecting two points on the boundary of the circle and
having its center, called the diameter of the circle.
• The segment – part of a circle bounded by the arc and the chord
subtending it.
• The notion of a circle is a universal mathematical concepts, literally
generalized to arbitrary metric spaces. However, some properties still
remain: the bulge and the presence of central symmetry.
practice
Formulas:
L=2πr
C=pr²
Exercises:
R=10 π≈3 L≈?
R=20 π≈3 C≈?
R=5 π≈3,14 L≈?
Try this
L=6283
π≈3,1415926
π≈3,14
C≈28,2736
C=125660
π≈3,1415
r=2
r=6,2
r=3
π≈3,1415
r=?
L≈?
C≈?
π≈?
r=?
Thank you for
your attention!