6Gradient and Area Under Graph

GRADIENT AND AREA UNDER A GRAPH

FORM 5 : CHAPTER 6

At the end of lesson, students will be able to

i. State the quantity represented by the gradient of a graph.

ii. Draw the distance-time graph, given;a) a table of distance-time valuesb) a relationship between distance and time.iii. Find and interpret the gradient of a distance-

time graph.

Video

TREASURE HUNT CAR RALLY

Question 11. How many minutes they spend to find the Dream World Resort ?

Question 22. Can you give one information

from the video.

Revision : Chapter 5 (Form 4)

Gradient of a straight line

Revision : Chapter 5 (Form 4)

Gradient of a straight line

Gradient of a straight line

Vertical distance

Horizontal distance

Gradient Graph, m = Vertical distance = y2 – y1

Horizontal distance x2 – x1

Gradient of a straight line

Gradient Graph, m = 0 = 0 4When m=0, then the line is parallel to x-axis.There is no slope.

So, Students, can you guess what you will learn for today learning objective?

Chapter 6 :Gradient and Area under a Graph

6.1 Understand and use the concept of quantity represented by the gradient of a graph.

Simple Treasure hunt

A B

C

Station Distance(m)

Time (s)

Situation

A to B 10 walk slowly together

B 0 Question 1B to C 15 Walk faster

together C 0 Question 2

A B

C

Station Distance (m)

Time (s)

Situation

A to B 10 walk faster together

B 0 Question 1B to C 15 Walk slowly

together C to A 25 walk fastest

together

A B

C

Station Distance (m)

Time (s)

Situation

A 0 Question 1A to B 10 Walk slowly

togetherB to C 15 Walk fastest

togetherC to A 25 Walk faster

together

A B

C

Station Distance (m)

Time (s)

Situation

A to B 10 Walk slowly together

B 0 Question 1

B to C 15 Walk slowly together

C to A 25 Walk faster together

6.1 Understand and use the concept of quantity represented by the gradient of a graph.