F4 IGCSE Direct Proportion
Presentation
•
Mathematics
•
6th Grade
•
Easy
Hee Jo Han HAN
Used 11+ times
FREE Resource
15 Slides • 18 Questions
1
F4 IGCSE Topic 7
2
Independently study the new topic "direct proportion" with this Quizizz lesson.
Read the information provided carefully and write down anything important on your classwork book.
Solve the follow-up questions to check your learning progress.
Ask any questions to clarify your understanding.
3
Understand the meaning of "direct proportion" through some examples.
Learn how to mathematically express the relationship of two quantities which are directly proportional to each other.
Solve problems by applying the knowledge acquired.
4
Fill in the Blanks
Starter: A recipe requires 3 eggs to make 7 cookies. What will happen to the number of eggs required as the number of cookies increases? (write "increases" or "decreases")
Type answer...
5
Fill in the Blanks
Starter 2
A recipe requires 3 eggs to make 7 cookies. How many eggs will be needed to make 14 cookies?
Type answer...
6
As one amount increases, another amount increases at the same rate.
For example,
The number eggs required and the number of cookies you will make
How much you earn and how many hours you work
The distance travelled at a constant speed and the time travelled
7
Multiple Select
Choose the option(s) that represent the direct proportional relationship.
Temperature and the amount of heat
Number of floors and the height of the building
The amount of homework left and the time you spent on it
The amount HK dollars you have and the amount of US dollars you will get after currency exchange
8
9
10
Multiple Select
If x and y are directly proportional to each other, then
y=kx
y∝x
y=x
y∝k
11
Multiple Choice
Which equation shows a direct proportion?
y = 5x - 2
y = 43 x
y - x = 4
x = 6
12
Multiple Choice
Which equation is not an example of direct proportion?
y = x
y = 3x
y=51x
y = 32 x + 5
13
Multiple Choice
What is the value of k in the following equation?
y=72x
4
−27
72
7
14
If y is directly proportional to x and when y = 24, x = 6.
Find the value of y when x = 10.
Step 1: Find k
15
If y is directly proportional to x and when y = 24, x = 6.
Find the value of y when x = 10.
Step 1: Find k Step 2: Use the equation to find the answer
16
17
Multiple Choice
Y is directly proportional to x. If y = 12 when x = 15, what is y when x = 20?
4/5
17
16
25
18
Multiple Choice
n varies directly with c. If c = 24 when n = 18, what is c when n = 22?
388
28
233
24
19
Multiple Choice
Upon seeing, "y varies directly as x" or "y is directly proportional to x" we immediately.....
write down what x and y are
write down what k is equal to
substitute into the equation
write y = kx
20
Multiple Choice
Y varies directly as x. If y = 39 when x = 52, what is the best answer for k?
k = 52
k = 4/3
k = 3/4
k = 39/52
21
Multiple Choice
If x = 9 when y = 30, and x = 27 when y = 90, is y directly proportional to x? If so, what is k equal to
Yes, k = 10/3
no
Yes, k = 3/1
Yes, k = 9
22
23
If y is directly proportional to the square x and when y = 100, x = 2.
Find the value of y when x = 3.
Step 1: Find k
24
If y is directly proportional to the square x and when y = 100, x = 2.
Find the value of y when x = 3.
Step 1: Find k Step 2: Use the equation to find the answer
25
26
Multiple Choice
G is directly proportional to the square of H. When G = 80, H = 4. Find the value of G when H = 5.
125
5
25
100
27
Multiple Choice
J is directly proportional to the square of M. When J = 75, M = 5. Find the value of J when M = 4.
48
3
144
100
28
Also write down the answers to the following two problems on your classwork book.
29
Draw
P is directly proportional to the cube of Q. When P = 500, Q = 5. Find the value of P when Q = 3
30
Draw
y is directly proportional to the square root of x. When y = 18, x = 144. Find the value of y when x = 100.
31
32
Poll
How do you feel about this topic of direct proportion?
Very easy
Very well understood
Need more practice
Difficult and need more help
33
Open Ended
Plenary: Create a real life problem related to two quantities that are directly proportional to each other.
F4 IGCSE Topic 7
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