Problem Tasks
Jr.
Architect's Math Tasks
Use the blueprint of your clubhouse to solve these
problems.
Task
1: Mosaic floor design
Design
tiles for your clubhouse floor using pattern blocks.
If
each tile covers one square foot, how many tiles will you need to cover the
entire floor?
Task 2 : Painting the clubhouse
You
are going to buy some paint for your clubhouse.
Compare the prices at these three paint stores and find the best bargain!
Stores 
Price 
Paint
Depot 
$10 per gallon 
Colorful
Paint Co. 
Buy
3 gallons for $13 each and get one free 
COLORS
‘R US 
Buy
1 gallon at $18 and get all additional ½ off 
1.
Complete the table below so you can compare prices for 1 through 10 gallons of
paint.

Paint
Depot 
Colorful
Paint Co. 
Colors
R'US 
1
gallon 



2
gallons 



3
gallons 



4
gallons 



5
gallons 



6
gallons 



7
gallons 



8
gallons 



9
gallons 



10
gallons 



$120 










$110 










$100 










$90 










$80 










$70 










$60 










$50 










$40 










$30 










$20 










$10 










$/gallon 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
2.
Where should you purchase the following amounts of paint?
a)
3 gallons?
____________________________
b)
4 gallons?
____________________________
c
) 10 gallons?
___________________________
3.
Let’s make a graph of the paint prices.
a)
Use three different colors or marks
to
plot the three stores.
b)
Explain the pattern in the graphs.
____________________________
____________________________
c)
Which graph shows that you can buy 4
gallons for the same price as 3 gallons?
_______________________________
Number of gallons
Task
3: How many gallons will you need?
4.
Assume all the ceiling heights are 10 feet. Using the dimensions of the doors
and windows from the blueprint, find the wall area of the clubhouse.
Don’t forget that the windows and doorways don’t get painted.
5.
a) What is the total area to be painted?
b)
If each gallon of paint covers 400
square feet, how many gallon cans of paint should be purchased?
c)
Which store would provide the best buy
on the paint?
d)
How can you tell from the table in
problem 1?
e)
How can you tell from the graph?
6.
a) If the clubhouse requires two coats of paint, how many total square
feet will be painted?
b)
How many gallon cans of paint should
be purchased?
c)
Where should the paint be purchased?
d)
On the average, which store has the
best buy?
Why?
Task
4: The Garden
You only have 20 feet of fencing to create a garden in the backyard. Use the geoboard and the inch graph paper to design your garden. How many different rectangular gardens can you make with 20 feet of fencing? Which dimensions will give you the most gardening space? You can be creative and create a garden in any shape. Be sure to calculate how much gardening square footage you will have with your design.