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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). 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 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