6th Grade Math
Due Date: ____________________
School Lane Carnival (Unit 5)
Standards for Criteria and Success
The students will be able to demonstrate knowledge and understanding by (Criterion A):
i.
ii.
iii.
Select appropriate mathematics when solving problems in both familiar and unfamiliar situations.
Apply the selected mathematics successfully when solving problems.
Solve problems correctly in a variety of contexts.
The students will be able to apply mathematics in real life context by (Criterion D):
i.
ii.
iii.
Identify relevant elements of authentic real-life situations.
Select appropriate mathematical strategies when solving authentic real-life situations.
Apply the selected mathematical strategies successfully to reach a solution.
Procedure
You will be proposing a plan for a School Lane Carnival to pop-up in our community this summer! The
people who live in Bensalem are skeptical of the plan, as they are worried about safety and cost. They
have created a committee that will hear your proposal next week. As the community is very interested in
the safety of the children at the carnival, you must include the height limit for each ride (in inches) and
age limit for each ride (in years). You will write the height and age limits as an inequality and graph the
inequality on the proposal for the committee to review. Finally, the committee will not approve your
proposal for the carnival unless you can prove that the cost of admission is affordable enough for a
hypothetical family of five.
The final project will include the following:
- Your proposal must include a sketched map of the park including all the locations for the rides (you
must have at least 5 rides).
- Developed height and age limits as inequalities and graph the inequalities.
-Choose three different age ranges and assign a price to each.
-Write inequalities for each and graph them as well.
-Calculate the final cost for the hypothetical family of 5 to attend your carnival.
Audience:
Your neighboring community will be reviewing your proposal and voting on whether or not this event
should occur.
Grade:
Criterion A: _____
Criterion D: _____
Comments:
Summative Assessment: School Lane Carnival
Part 1: School Lane Carnival Sketch
In the space below, sketch what your dream carnival would look like (must include at least 5 rides).
Part 2: Age and Height Requirements (x = age y = height)
For each ride, you must write an inequality, using <, >, ≤, or ≥ signs, for the age and height requirements.
You MUST use each inequality sign at least once when creating your age and height requirement. Ages
must range from 2-80 years old and height requirements must be in inches. After you have written each
inequality, you must then graph them. Use the chart below to show your work.
Write an inequality
for the height
TYPE OF CARNIVAL RIDE restrictions for
each ride.
Ride 1
Ride 2
Ride 3
Ride 4
Ride 5
Ride 6
Ride 7
Graph the inequality
that represents the
height restrictions for
each ride.
Write an inequality
for the age
restrictions for
each ride.
Graph the inequality that
represents the age
restrictions for each ride.
Part 3: Finding the Cost
Name
Age
Height
Mom
36
5’8
Dad
52
6’3
Son
12
4’8
Daughter
3
2’1
Grandfather
78
5’11
The price for admission tickets to the carnival is based on a person’s age. Your job is to write at least
three different inequalities that will show the cost of a ticket based on the person’s age.
Example:
x = age
If x < 3, then the price is $12.00
Inequality #1 (youngest age group): __________________________________
Inequality #2 (middle age group): __________________________________
Inequality #3 (oldest age group): __________________________________
Based on the three inequalities you wrote above, calculate how much it would cost the entire Wilson
family to attend the School Lane Carnival.
Show Work
Total Cost of Admission Tickets: ________________________________