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 Understand the concept of gradient of a straight line

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

HORIZONTAL DISTANCE

VERTICAL DISTANCE

VERTICAL LINE HORIZONTAL LINE

ACTIVITY 1 20 M 8 M EG F 9 M

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.

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

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

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

Referring to Activity 1 THE GRADIENT OF LINE EF is

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

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

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

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

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

Activity B to determine the relationship between gradient and tan θ

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 )