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GROUP 9

GROUP 9. SIM KAY SHU NOOR HASLIZA BINTI HAMID ROSNAH BINTI ALI SELEBY SUPPIAH FAUZIKARIMULLAH BIN AHMAD MAZLINA BINTI IBRAHIM SALINA BINTI ISMAIL YUSPALIZA BINTI ABDUL RAZAK MARINA BINTI MUSA ROSYUSNITA BINTI MOHD MOKHDIR. CHAPTER 5 :. THE STRAIGHT LINE. LEARNING OBJECTIVE :. 5.1

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GROUP 9

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  1. GROUP 9 • SIM KAY SHU • NOOR HASLIZA BINTI HAMID • ROSNAH BINTI ALI • SELEBY SUPPIAH • FAUZIKARIMULLAH BIN AHMAD • MAZLINA BINTI IBRAHIM • SALINA BINTI ISMAIL • YUSPALIZA BINTI ABDUL RAZAK • MARINA BINTI MUSA • ROSYUSNITA BINTI MOHD MOKHDIR

  2. CHAPTER 5 : THE STRAIGHT LINE

  3. LEARNING OBJECTIVE : 5.1 Understand the concept of gradient of a straight line

  4. LEARNING OUTCOMES : I Determine the vertical and horizontal distances between two given points on a straight line.

  5. HORIZONTAL DISTANCE

  6. VERTICAL DISTANCE

  7. VERTICAL LINE HORIZONTAL LINE

  8. ACTIVITY 1 8 M F 20 M E G 9 M

  9. 1. STATE THE VERTICAL LINE AND HORIZONTAL LINE IN THE DIAGRAM ABOVE. 2. STATE THE VERTICAL DISTANCE AND THE HORIZONTAL DISTANCE BETWEEN POINT E AND POINT F .

  10. ANSWER 1. VERTICAL LINE = FG HORIZONTAL LINE = EG 2. VERTICAL DISTANCE = 12 m HORIZONTAL DISTANCE = 9 m

  11. LEARNING OUTCOMES : II Determine the ratio of vertical distance to horizontal distance.

  12. O CONCEPT Gradient of a straight line, m is the ratio of vertical distance to horizontal distance. B vertical distance m A horizontal distance

  13. Referring to Activity 1 THE GRADIENT OF LINE EF is

  14. The following activity is to show that the gradient between any two points on a straight line is the same

  15. ACTIVITY 2By using GSP • Step 1 : Construct a right angled triangle OCA and label. • Step 2 : Measure the vertical and horizontal lines. • Step 3 : Calculate the ratio of vertical and horizontal distance. • Step 4 : Take any two points on the slant. Repeat Step 2 and 3. ( teacher shows the answer )

  16. THAT’S ALL FROM GROUP 9 SAYONARA….. SAFE JOURNEY HOME……..

  17. O CONCEPT B tan vertical distance ( opposite side ) = gradient of line OB horizontal distance ( adjacent side ) A

  18. CONCEPT The steepness of a straight line is dependent on the angle ( consider only acute angle ) When increases, gradient increases, hence steepness of line also increases .

  19. Activity Bto determine the relationship between gradient and tan θ

  20. By using GSP • Step 1 : Draw a straight line OA • Step 2 : Mark O as the centre • Step 3 : Draw another line denote OF • Step 4 : Construct arc through three points to show the angle AOF • Step 5 : Select three points A,O,F then measure the angle. • Step 6 : Calculate the tangent ( teacher shows the answer )

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