What other geometric figures do you know? Name the objects in the classroom that have the shape of a circle, triangle, square, rectangle, oval, arc, cube, cylinder, hexagon, etc.
Содержание книги
- force of gravity - magnetism - north/south pole
- In pairs, discuss what is meant by “simple machines”. Are they still in use today? If yes, give some examples.
- Match the first part of the sentence (1-7) with the second one (A-G).
- Pre-listening: match the English words and phrases in the left column with their Ukrainian equivalents in the right column.
- to improve production processes - equipment
- Fill in the gaps with the proper item.
- In pairs, discuss what is meant by “complex machines”. Give examples of such machines.
- Match the first part of the sentence (1-7) with the second one (A-G).
- These tasks can help you to practise grammar topic “The Modals: Permission - Obligation” (See Appendix 1 p. 230 – 234) and do the following exercises.
- Complete the sentences with should or shouldn't and the words in brackets.
- Name as many metals as you can? Where are they used?
- Fill in the words from the list below. Use each word only once.
- Do you agree with the following proverbs? Discuss them with your classmates.
- Put the verbs in brackets into the Present Simple Passive.
- Look at the objects in the pictures. What materials do you think they are made of and why?
- Match each word from the text with its synonym.
- Listen to the text and complete the sentences.
- design and construction - dimensions of the object
- Put the questions into the Passive Voice.
- Listen to the conversations. Write the numbers.
- Work in pairs. What numbers do people usually consider lucky and unlucky and why?
- Translate the following sentences into English.
- Pre-listening match the words from the left column with their Ukrainian equivalents in the right column.
- Listen to the text and complete the sentences.
- Match the items in two columns in order to make correct Type 0 conditional sentences, as in the example.
- What other geometric figures do you know? Name the objects in the classroom that have the shape of a circle, triangle, square, rectangle, oval, arc, cube, cylinder, hexagon, etc.
- Fill in the words from the list below. Use each word only once.
- Listen to the text and answer the following questions.
- Use the information from the table to complete the sentences below.
- Match the measuring instruments to their names.
- Pre-listening: match the words in the left column with their Ukrainian equivalents in the right column.
- Listen to the text and fill in the gaps.
- These tasks can help you to practise grammar topic “The Articles – Countable/ Uncountable Nouns” (See Appendix 1 p. 198 – 199) and do the following exercises.
- Match the invention to its inventor.
- Match the first part of the sentence (1-7) with the second one (A-G).
- Listen to the text and answer the following questions.
- Fill in the gaps with some, any, no or one of their compounds.
- What other types of engines do you know? What is the difference between them?
- Fill in the words from the list below. Use each word only once.
- Listen to the text and answer the following questions.
- Underline the proper item to complete the sentences.
- Why do you think design is necessary in industry?
- Group the following words into three columns: nouns, adjectives and verbs. Some of them fit into more than one column.
- Pre-listening: match the English words with their definitions.
- what information may be included in the website
- What do you think can be done to make manufacturing more environmentally friendly? Why is it important?
- Listen to the text and answer the following questions.
- Listen to the text again and complete the sentences.
- Complete the following sentences using the correct prepositions.
- Grammar references. Іменник (the noun). Множина іменників. Присвійний відмінок іменника
A
Square
B
Rectangle
C
Arc
D
Triangle
E
Hexagon
F
Cylinder
G
Circle
H
Cube
2. What other geometric figures do you know? Name the objects in the classroom that have the shape of a circle, triangle, square, rectangle, oval, arc, cube, cylinder, hexagon, etc.
READING
3. Read the text and correct the statements that follow.
Geometric Figures
Geometry is the mathematical study of shapes, figures, and solids. Circles, triangles, and squares, rectangles, parallelogram are some of the geometric figures or geometric shapes.
Circles, triangles, squares, rectangles, trapezoids, and parallelograms are some of the most memorable geometric figures. The area and perimeter of these solids are calculated using the following formulas,
· Square: Squares are four sides polygon and all the four sides are equal in length. All the four angles in the squares are equal to 90°. If the length of the side of a square is a, then,
· Area = a2square units,
· Perimeter = 4aunits.
· Rectangle: Rectangle is also a four-sided polygon and the opposite sides are equal in length. Each angle in the rectangle is equal to 90°. If the length of the side of a rectangle is l, and the breadth of the rectangle is b, then,
· Area= l×b square units,
· Perimeter= 2 (l + b) units.
· Circle: Circle is a two-dimensional object drawn by a curve with same distance from the center. If the circle has a radius of r, then,
· Area= πr2 square units,
· Perimeter= 2πrunits.
· Triangle:Triangle is a three-sided polygon. If the height of the triangle is h, and the breadth of the rectangle is b,
· Areaof triangle = (1/2) b×h square units,
· Perimeterof triangle = a + b + c units,
· where, a, b, care side length of the triangle.
Among other geometric figures are:
· Acute Angle
An acute angle is less than a right angle, or less than 90 degrees.
· Arc
Any part of the circumference of a circle or other curve; a segment of a circle. The conic sections are the ellipse, parabola, and hyperbola.
· Cube
A regular, solid body with six equal square sides.
· Cylinder
A solid body supposed to be generated by the rotation of a parallelogram round one of its sides; or a long, circular body, of uniform diameter, and its extremities forming equal parallel circles.
· Diameter
A right line passing through the center of a circle, or other curvilinear figure, terminated by the curve, and dividing the figure symmetrically into two equal parts.
· Ellipse
In conic sections, a figure formed by the intersection of a plane and cone when the plane passes obliquely through the opposite sides of the cone.
· Hexagon
A plane figure of six sides and six angles. If the sides and angles are equal, it is a regular hexagon. The cells of honey-comb are hexagons, and it is remarkable that bees instinctively form their cells of this figure, which fills any given space without any interstice or loss of room.
1. Any part of the circumference of a circle or other curve is called diameter.
2. All the four angles in the squares are different.
3. Square is a two-dimensional object drawn by a curve with same distance from the center.
4. Hexagons are four sides polygon and all the four sides are equal in length.
5. Rectangle is a four-sided polygon and the opposite angles are equal in length.
6. A plane figure of six sides and six angles is called triangle.
7. Geometry is the mathematical study of shapes, figures, and liquids.
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