Equations Representing Proportional Relationships 7 Grade Unit 3A

Equations Representing
Proportional Relationships
7th Grade Unit 3A
Is the ratio 4.2: 1.5 proportional to the ratio
12.6:4.5? How do you know?
Number of
Pennies
10
15
20
25
Height of
Stack (mm)
12
18
24
30
Write a ratio that shows number of pennies to height of
stack.
a.
b.
c.
d.
10 pennies
15 pennies
20 pennies
25 pennies
What do we notice about these ratios?
Write a ratio that shows the number of pennies
in each stack to the height of the stack.
Use the ratio we found earlier and proportions to complete the table.
Number of
Pennies
Height of
Stack (mm)
10
15
20
25
• Write 2 ratios in fraction form the show
the number of pennies to the height of
the stacks
• Write these as an equation
• Is the equation an proportion?
When quantities are proportional, they
have a constant rate of change.
What is the rate of change in the stack
of coins?
Explain what that rate of change means.
How could we find the height of stack of 60
pennies without having to measure?
Predict the number of chocolate chips in 9 pancakes.
Predict the number of pancakes that would have 48
chocolate chips.
What is an equation that represents this situation?
What is an equation to represent this situation?
Predict the number of miles driven in 10 hrs.
What does the point (1,35) represent in this situation?
What is an equation to represent this situation?