Math-in-CTE Lesson Plan Template
Lesson Title: Volume (concrete)
Author(s):
Tom OBrien
Lesson # 18
Phone Number(s):
609-859-8869
Linda Potter
609-695-9114
E-mail Address(es):
tobrien@mcts.edu
lpotter@mcts.edu
Occupational Area: BMT-Masonry
CTE Concept(s): Calculate cubic yards of concrete required to fill forms of given dimensions
Math Concepts: Linear dimensions ( feet/inches ), calculate Area/Volume, Cubic Feet , Cubic Yards
Lesson Objective:
Relevant calculations for volume of concrete required
Supplies Needed:
Pencil , paper (calculator optional)
THE "7 ELEMENTS"
TEACHER NOTES
(and answer key)
1. Introduce the CTE lesson.
Your favorite uncle is installing a concrete pad (for a barbecue)
before the Eagles go to the Super Bowl.
The pad measurements are 12`L x 14`W x 6” D , he has requested
your help with concrete quantity calculations and for your help
with making this a quality installation.
2. Assess students’ math awareness as it relates to the CTE Give out blank KWL forms: VOLUME OF CONCRETE
lesson.
Have student answer KWL for the five concepts to the left
KWL on “volume calculations” , units of measure , converting inches to (calculating volume, units of measure, decimal units of a foot,
decimal units of a foot , converting cubic feet to cubic yards , rounding converting cubic feet to cubic yards, & rounding up)
numbers up for sufficient quantity purchased.
KWL = KNOW: WANT-TO KNOW-: LEARN
Furthermore, student should be able inform uncle of costs to be IT IS A LITERACY ACROSS THE CURRICULUM STRATEGY
incurred (price per cubic yard +tax , short load charge, delivery
IT IS IN THREE COLUMNS: STUDENTS FIRST LIST WHAT THEY
charge,fuel surcharge ).
KNOW ABOUT A CONCEPT, THEN WHAT THEY WANT TO
KNOW, AND THEN WHAT THEY LEARNED.
3. Work through the math example embedded in the CTE lesson.
L x W = Area
12`x14`=168sq ft
LxWxD=V
Area x Depth = Volume
168sq ft x 6inches D (.5ft)=84cubic ft
Teacher can provide additional examples as needed.
(convert inches to feet)
Concrete is purchased by “ Yard”(actually “cubic yard”)
There are 27 cubic feet in a “cubic yard” so divide volume of cubic feet
by 27 to determine number of cubic yards (84÷27=3.1 cubic yards of
concrete
4. Work through related, contextual math-in-CTE examples.
Students will convert between feet and inches.
5. Work through traditional math examples.
Convert inches to feet (decimals) to keep calculations with” like “ units
Convert cubic feet to cubic yards
Find Volume of various shapes using appropriate formulas
 CONVERTING FEET AND INCHES WKST (math-aids.com)
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CONVERT FRACTIONS TO A DECIMAL WKST (excel)
CONVERT INCHES TO FEET WKST (excel)
CONVERT CUBIC FEET TO CUBIC YARDS WKST (excel)
FINDING VOLUME 1 & 2 WKST (themathworksheetsite.com)
CALCULATING VOLUME (CHALLENGE)
(www.worksheetworks.com)
6. Students demonstrate their understanding.
20 x 10 x 0.5 = 100 cu. ft.
Having performed a quality concrete pad installation with your uncle, 100 cu. ft./27 = 3.7037 = approx 4 cubic yds concrete
you and your uncle (being good neighbors) agree to install a similar but
larger (20’ x 10’ x .6”thick) concrete pad for a neighbor. Calculate
number cubic yards required to completely fill forms at these
dimensions.
7. Formal assessment.
Calculate volume of 3 solids
Convert to cubic yards
Students will complete the ‘Volume of Concrete: Formal Assessment’
NOTES:
Calculate costs of each solid for each of three prices of crete.