Math-in-CTE Lesson Plan Template
Lesson Title: Calculating Concrete
Author(s):
Kelly Patterson
Lesson #ACDKS- 20-09
Phone Number(s):
620 728-1098
E-mail Address(es):
pattersonk@usd308.com
Dawn Justice
Occupational Area: Building Trades
CTE Concept(s): Calculating orders of concrete for footings, walls, and slab pours.
Math Concepts: Volume, converting units
Lesson Objective:
Students will be able to calculate concrete needed for various
applications.
Math assessed benchmark standards are 1.4.1a and 1.4.1b
3.3.A1
Supplies Needed:
Tape measure, calculator, pencil and paper
THE "7 ELEMENTS"
TEACHER NOTES
(and answer key)
1. Introduce the CTE lesson.
Today we are going to talk about how we Second year students have been down this
calculate our concrete order.
road previously, and hopefully some of the
first year students will have some experience
also.
Has anyone ordered concrete before?
What unit do you think we order concrete?
At least one of the second year students will
be able to know that we order in cubic yard.
2. Assess students’ math awareness as it Use or 12” x12” x 12” cube for this. The cube
relates to the CTE lesson.
is marked into one inch squares. Visually
showing the 1728” cubic inches equaling one
Show students an example of a cubic foot. And
square foot.
have it divided into 1728 pieces.
Show how one cubic yard = 27 cubic ft
Math-in-CTE Technical Assistance
Either draw on the board an isometric view of
a cubic yard.
3. Work through the math example embedded Total all of the measurements into cubic
in the CTE lesson.
inches by taking 288 x 384 x 4 = 442368
cubic inches
Have the students calculate the volume of
concrete needed to pour a drive way. The slab Take our cubic inches and divide by 1728.
of concrete measures 288” wide by 384” long This will give us the cubic ft.
and 4” thick.
442368
= 256 cubic ft.
1728
Convert cubic inches into cubic feet.
Take our cubic feet divided by 27 to give us
Concrete is sold by the cubic yard. So we need our cubic yards of concrete.
to divide our cubic feet total by 27 to give us our
256
cubic yards.
= 9.48 cubic yards of concrete needed.
27
Explain that concrete can be purchased in
1
,
3
1 2
, or whole cubic yards.
2 3
So you would always round up! So the
minimal would be 9 ½ cubic yards, but would
usually go ahead and order 9
2
yards.
3
4. Work through related, contextual math-in- 456x768 x72 =25214976 cubic inches
CTE examples.
Dirt is to be excavated to form a basement. The
house is 456” x 768” x 72” deep.
So have the students calculate how many cubic
yards of dirt will be excavated from the
basement.
25214976
= 14592 cubic feet
1728
14592
= 541 cubic yards (rounded up)
27
8x7x5 = 280ft^3 or 10.37 yd^3 for one trip.
If we want the dirt removed from the property and
we have a dump truck with the dimensions of 8ft 541yd^3 / 10.37 yd^3 = 52.17 trips are
by 7ft by 5ft, how many trips would be needed to calculated. The students would need to
remove all the dirt?
realize that 53 trips are needed since there
would be .17 yd^3 left after 52.
5. Work through traditional math examples.
B is the correct answer.
Jim has a cube-shaped gift box with sides 6 x 6 x 6
measuring three inches. The volume of the gift
box is 27 inches cubed. The gift he wants to fit
into the box is too large. So he must use a
cubed shaped box with the sides that are twice
as long. What is the volume of the larger box?
Math-in-CTE Technical Assistance
A. 243in 3
B. 216in 3
C. 81 in 3
D. 54in 3
6. Students demonstrate their understanding.
Take the students and measure the forms in
inches. Round all numbers up.
Convert cubic inches into cubic feet.
Concrete is sold by the cubic yard. So we need
to divide our cubic feet total by 27 to give us our
cubic yards.
7. Formal assessment.
The formal assessment will be evaluated when
the concrete has been delivered.
Math-in-CTE Technical Assistance
Take our cubic inches and divide by 1728.
This will give us the cubic ft.
Take our cubic feet divided by 27 to give us
our cubic yards of concrete.
Explain that concrete can be purchased in
1 1 2
, , or whole cubic yards.
3 2 3
Evaluation will be if we have the correct
amount with not much waste. Running short
is a cardinal sin, but having more than a 1/3
of a yard is a waste of money.
NAME:____________________
3.3.1a Volume of Rectangular Prism: = l  w  h
Labels for volume: in3, ft3, yd 3 ,mi3, cm3
Find the volume of the following: Label the answers.
1) Rectangular Prism with length=12ft, height=3feet, width = 1.5 feet ______________________
2) Cube with length of side = 6cm ___________________
3) Rectangular Prism: length = 7 in, width = 5 in, height = 11 in _____________________
4) Rectangular Prism: length = 12 ft, width = half the length, height = twice the length.
________________________
5) Rectangular prism: height = 12, length = 4 more than the height, width 8 less the height.
_______________________
Math-in-CTE Technical Assistance
6) The volume of a cement slab was 58.374 yd 3 . If the height was 5.4 yd and the width was 2.3 yd,
what was the length?
________________________
Find the volume of the following: Label the answers.
1) Rectangular Prism with length = 12 ft, height = 3 feet, width = 1.5 feet
2) Cube with length of side = 6cm
216cm
54ft
3
3
3) Rectangular Prism: length = 7 in, width = 5 in, height = 11 in
385in
3
4) Rectangular Prism: length = 12 ft, width = half the length, height = twice the length.
12ft x 6ft x 24ft =
1728ft
3
5) Rectangular prism: height = 12in, length = 4in more than the height, width 8in less the height.
12in x 16in x 4in =
768in
3
6) The volume of a cement slab was 58.374 yd 3 . If the height was 5.4 yd and the width was 2.3 yd,
what was the length?
58.374 yd 3
=
5.4 yd  2.3 yd
Math-in-CTE Technical Assistance
4.7 yd