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Transcript
SJO PW - Język angielski ogólnotechniczny, Poziom B2
Lekcja 4 A
Opracowanie: Mgr Piotr Pióro & Mgr Dorota Chromińska
SHAPES AND MEASUREMENTS
Classwork-Introduction
Geometry is plane fun:)
4 5
1
3
2
10
a
c
a
c
a
b
11
c
22
b
21
19
12
d
20
14
4m
a
6
100
miles
d
b
9
b
7 1 mile
8 1.6 Kilometers
a
13
4m
4m
15
1 inch (1”) = 2.54 centimeters (cm)
23
1 meter (m) = 100 centimeters
1 kilometer (km) = 1000 meters
1 foot (1’) = 0.305 meters
16
17
18
1 yard (1 yd.) = 0.914 meters
1 mile (mi.) = 1.6 kilometers
1. height
2. width
3. depth
4. centimeter
5. inch
6. distance
7. mile
8. kilometer
9. square
a. side
10. rectangle
a. length
b. width
c. diagonal
11. right triangle
a. apex
b. right angle
c. base
d. hypotenuse
12. circle
a. center
b. radius
c. diameter
d. circumference
13. isosceles triangle
a. acute angle
b. obtuse angle
14. ellipse/oval
15. straight line
16. parallel lines
17. curved line
18. perpendicular lines
19. sphere
20. pyramid
21. cube
22. cylinder
23. cone
figures: 9,10.
quadrilateral(s)
Źródła: Word by Word Picture Dictionary, Steve J. Molinsky, Bill Bliss, 1994 Prentice Hall Regents;
http://www.greatmathsteachingideas.com; http://www.mathcaptain.com; http://aleph0.clarku.edu/; http://oxforddictionaries.com
page 1
SJO PW - Język angielski ogólnotechniczny, Poziom B2
Opracowanie: Mgr Piotr Pióro & Mgr Dorota Chromińska
Lekcja 4 A
SHAPES AND MEASUREMENTS
Homework.
Fill in the gaps with the words from the measures and shapes handout ( page 1).
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Opposite sides of a square are …………………………… and of equal lenght.
Area = Length times the ……………………………..
The value of Pi (π ) to 2 decimal places is 3.14, it comes in handy when working out
the ………………………………. and area of a circle.
……………………………………… lines are lines that never intersect or cross one
another.
A ……………….. is a collection of points along a straight path that goes on and on in
opposite directions, and has no endpoints.
All points on the edge of a circle are the same distance to the …………………………..
…………………………………….. lines cross each other or intersect at right angles.
The area of a triangle is 1/2 the length times the ………………………………….. of the
triangle.
An ………………………. angle has a measure of greater than 90 degrees.
The three internal angles of a …………………………. always add to 180 degrees.
An ………………………….. triangle has two sides of equal length and two equal
angles.
A …………………….. triangle has one angle that is 90 degrees.
An …………………………. triangle has one angle larger than 90 degrees.
The longest side of a right angle triangle is called the ……………………………, it is
always found opposite the right angle.
………………………… make nice 6-sided dice, because they are regular in shape, and
each face is the same size.
The pointy end of a cone is called the vertex or ……………………. The flat part is the
………………………... An object shaped like a cone is said to be conical.
Of all the shapes, a …………………………. has the smallest surface area for a volume.
Or put another way it can contain the greatest volume for a fixed surface area.
Example: if you blow up a balloon it naturally forms a sphere because it is trying to hold
as much air as possible with as small a surface as possible.
When we think of ………………………….. we think of Egypt.
When you have 10 millimeters, it can be called a ……………………………………...
When you need to get from one place to another in continental Europe, you measure
the distance using ………………………………………..
The last joint of your finger or thumb is about 1 ………………….. (depending on how
big your fingers are!).
When 3 feet are together, this is called a …………………...
The distance from the center of a circle to its edge is called what?
…………………………………..
How many sides of equal length does a ……………………….. have? 4
A straight line that passes from one side of a circle to the other through the center is
called the …………………………………….
The area of a circle equals the radius times itself times pi. Pi is a mathematical number
equal to approximately 3.14 which is the actual number rounded. Since circles are
………………………, their area do not compute as evenly as squares and rectangles.
“A ……………………………. is a round straight line with a hole in the middle.”:)
"The only angle from which to approach a problem is the TRY- ………………………":)
“I heard that …………………………….. lines actually do meet, but they are very discrete.”:)
Źródła: Word by Word Picture Dictionary, Steve J. Molinsky, Bill Bliss, 1994 Prentice Hall Regents;
http://www.greatmathsteachingideas.com; http://www.mathcaptain.com; http://aleph0.clarku.edu/; http://oxforddictionaries.com
page 2
SJO PW - Język angielski ogólnotechniczny, Poziom B2
Lekcja 4 A
Opracowanie: Mgr Piotr Pióro & Mgr Dorota Chromińska
1
SHAPES AND MEASUREMENTS
Classwork
1. This is a (a)........................ with a (b) ................................
line going from the (c) ................. to the top
left-hand (d) ........................
2
2. This is a (e) ............................. Each bottom (f) ................... is 45 .
The top one is a (g) .............................................(90 ).
3. These two lines are (h) ......................................... to each other. There is
a (i) ................................ between them.
3
Riddle Me This, Riddle Me That
4. I am an angle that is greater than 90 degrees. What am I? .........................................
5. I am an angle that is less than 90 degrees. What am I? ............................................
6. I am an angle in a rectangle. What am I? .........................................
7. I am 2 angles in a right angle triangle. What are we? ........................................
8. I am a 3D solid with only one square base. What am I? ......................................
9. I am a quadrilateral with 2 pairs of parallel sides, opposite side are equal length,
and all right angles. What am I? ....................................
10. I am a 3D solid with 6 edges and a triangular base. What am I? ...........................
11. I am a quadrilateral that has all sides equal. What am I? .............................
12. Look at this 2-D hexagon. Can you draw a 3-D cube? Hint: you only need to draw three lines.
13. Why are some letters above the line and some letters below?
AEFHIKLMNTVWXYZ
BCDGJOPQRSU
14. Take a close look at the following figure... How many triangles can you find?
Źródła: Word by Word Picture Dictionary, Steve J. Molinsky, Bill Bliss, 1994 Prentice Hall Regents;
http://www.greatmathsteachingideas.com; http://www.mathcaptain.com; http://aleph0.clarku.edu/; http://oxforddictionaries.com
page 3