Corn Field Math - Maryland Department of Agriculture

Corn Field Math - Maryland Department of Agriculture
Corn Field Math
Skills: Math
Objective: Students use number sense, measurement, and data analysis to
construct drawings and compute multi-step problems dealing with whole
numbers, fractions, and percents.
Background
Corn is a grass, native to the Americas. The exact origin is unknown, but
tiny ears of corn have been discovered at ancient village sites and in tombs
of early Americans. Evidence of corn in central Mexico suggests it was used
there as long as 7000 years ago, where it was domesticated from wild grass.
Cultivated corn is known to have existed in what is now the southwestern US
for at least 3000 years. In the United States, many of the various Native
American tribes have traditionally grown corn—also known as maize—and
used it for both food and utilitarian purposes. Eastern tribes shared their
knowledge of corn production with early European settlers, an act which
saved many from starvation.
Early American colonists dried corn and ground it as meal for flour. They
used the ground corn in porridge, cake and bread. Fresh, or sweet corn, the
kind we like to eat as corn on the cob, was not developed until the 1700s.
Before then corn was only used in its dried form.
Along with wheat and rice, corn is one of the world’s major grain crops.
It is the largest grain crop grown in the US. About 9 percent of all the corn
grown is used to produce food for humans. These foods include corn meal
and other food products such as cooking oils, margarine, and corn syrups and
sweeteners (fructose). Sixty four percent of all corn grown is used as feed for
livestock.
Corncobs have been used in the manufacturing of nylon fibers and as a
source for producing degradable plastics. Ethanol, a renewable fuel made
from corn, has shown the possibility of becoming a major renewable fuel for
the world’s automotive industry.
Corn can be produced in much of Oklahoma, but primary production is in
the Panhandle area. In Oklahoma, corn is harvested for either grain or silage
with most of the grain going to dairies, animal feeding operations, and poultry operations. In an average year, around 25 million bushels are grown for
grain in Oklahoma, with a yield of 130 bushels per acre. One bushel of corn
is equal to 56 pounds.
Corn is pollinated by wind and is typically planted in 30-inch rows A single seed (or kernel) of corn may produce a plant which yields more than 600
kernels of corn per ear. On one acre of land, anywhere from 22,000 to 35,000
individual plants may be grown.
Hybrid corn is developed to produce from one to two ears per plant. Ears
www.agclassroom.org/ok
P.A.S.S.
GRADE 6
Math Process—1.3,5,6;
2.2; 3.1,3; 4.1; 5.1,4
Math Content—2.1,3; 4.3;
5.1
GRADE 7
Math Process—1.3,5,6;
2.2; 3.1,3; 4.1; 5.1,4
Math Content—1.1,2;
2.1b,2bc; 4.1a
GRADE 8
Math Process—1.3,5,6;
2.2; 3.1,3; 4.1; 5.1,4
Math Content—1.1a,2.1b;
4.3b
Resources Needed
computers and/or resource
materials
calculators
graph paper
rulers
compasses
protractor s(useful)
Vocabulary
cultivate—to prepare land
for the raising of crop
domesticated—adapted to
living with human beings
and serving their purpose.
ethanol—a colorless,
volatile, pungent liquid
made from corn which
can be burned as a fuel.
hybrid—an offspring of
parents with different
genes especially when of
different races, breeds,
species, or genera
maize—Native American
name for corn. Also called
Indian corn.
pollinated—pollen placed
on the stigma of a plant for
the purpose of creating
seeds, flowers, fruit.
porridge—a soft cereal or
meal boiled in water or
milk until thick.
silage—the entire aboveground portion of the corn
plant (including ear) that is
harvested by cutting and
chopping the plant before
it reaches maturity. It is
stored in silos or packed
into above-ground pits and
used for feed.
soil conservation—a protection from loss, waste,
etc. of soil through efficient farming methods.
utilitarian—the quality or
property of being useful.
per plant are often determined by moisture availability. Through better soil
conservation practices, fertilizer use, better seed quality, and water availability, corn yields have increased 125 percent since 1950.
Activities
1. Read and discuss the background information and vocabulary.
2. Hand out the worksheet for students to complete.
—Students will work in pairs or groups to solve the math problems.
—Students will check answers after completing the first two before continuing.
—In a class discussion, students will agree or disagree with the reasoning
of other classmates and explain their positions.
Extra Reading
Bial, Raymond, Corn Belt Harvest, Houghton-Mifflin, 1991.
Fussell, Betty, Story of Corn, University of New Mexico, 2004.
Hunger, Sally M., and Joe Allen, Four Seasons of Corn: A Winnebago
Tradition (We Are Still Here), Lerner, 1996.
Johnson, Sylvia, Tomatoes, Potatoes, Corn, and Beans: How the Foods of
the Americas Changed Eating Around the World, Atheneum, 1997.
Landau, Elaine, Corn (True Books—Food and Nutrition), Children’s 2000.
Nielsen, Michelle L., The Biography of Corn (How Did That Get Here?),
Crabtree, 2007.
Rhoads, Dorothy, The Corn Grows Ripe, Puffin, 1993.
http://www.agclassroom.org/ok
Corn Field Math
Name _______________________________
Use your calculator and other mathematical tools to solve the following problems. Compare your methods with
a partner.
1. a)An acre of land is 43,560 sq. ft. How long is one side of a square acre?
b)If the rows are 2.5 ft. apart, how many rows are there?
c)How many corn plants will be in each row if there are 22,000 plants in a square acre?
2. Each corn plant produces one ear of corn. There are 600 kernels per ear. How many kernels are produced
on 1 acre of land?
WAIT: CHECK YOUR ANSWERS TO THE FIRST TWO PROBLEMS BEFORE CONTINUING.
3. There are 135 bushels of corn produced per acre. How many kernels of corn are in a bushel?
4. A farmer has 640 acres planted in corn. How many bushels of corn will this yield if each plant produces
two ears?
5. Corn is selling for $2.40 a bushel. Farmer A’s plants produce two ears per plant, while Farmer B’s plants
produce one. Compare their earnings per acre.
6. The yield has increased by 125% or by a factor of 2.25 since 1950. It is 135 bushels today. What was it in
1950? Explain in writing how you completed your answer.
7. The farmer decided to plant his 320 acres in three different varieties of corn. Use graph paper to construct a
model of the farmer’s land. Label each section, and complete the calculations. Show your work. Discuss
your work on this question with a partner or in a cooperative group.
a)Variety A produces one ear per plant. The farmer planted 1/3 of his 320 acres in Variety A. How many
bushels of corn can he expect from Variety A?
b)Variety B produces two ears per plant. The farmer planted half of his 320 acres in Variety B. How many
bushels of corn can he expect from Variety B?
c)Variety C produces 1.5 ears per plant. The farmer planted the rest of his acreage in Variety C. How many
bushels of corn can he expect from Variety C?
d)What is the total yield the farmer can expect for the entire 320 acres?
e)How much would the farmer receive from the sale of his corn at $2.40 a bushel?
Produced by Oklahoma Ag in the Classroom, a program of the Oklahoma Cooperative Extension Service, the Oklahoma Department
of Agriculture, Food and Forestry and the Oklahoma State Department of Education, 2008.
Corn Field Math (answers)
Name _________________________
1. a)An acre of land is 43,560 sq. ft. How long is one side of a square acre?
√43,460 = 208.71 ft per side.
b)If the rows are 2.5 ft. apart, how many rows are there?
208.71 ÷ 2.5 = 83.48
c)How many corn plants will be in each row if there are 22,000 plants in a square acre?
22,000 ÷ 83.48 = 263.54
2. Each corn plant produces one ear of corn. There are 600 kernels per ear. How many kernels are produced
on 1 acre of land?
22,000 x 600 = 13,200,000
3. There are 135 bushels of corn produced per acre. How many kernels of corn are in a bushel?
13,200,000 ÷ 135 = 97,777.77
4. A farmer has 640 acres planted in corn. How many bushels of corn will this yield if each plant produces
two ears?
640 x 135 = 86,400 x 2 = 172,800 (2 ears per plant)
5. Corn is selling for $2.40 a bushel. Farmer A’s plants produce two ears per plant, while Farmer B’s plants
produce one. Compare their earnings per acre.
Farmer A: $2.40 x 270 = $648; Farmer B: $2.40 x 135 = $324
6. The yield has increased by 125%, or by a factor of 2.25, since 1950. It is 135 bushels today. What was it in
1950? Explain in writing how you completed your answer.
x + (125%)x = 135; 2.25x = 135; 135 ÷ 2.25 = 60; x = 60
7. The farmer decided to plant his 320 acres in three different varieties of corn. Use graph paper to construct a
model of the farmer’s land. Label each section, and complete the calculations. Show your work. Discuss
your work on this question with a partner or in a cooperative group.
a)Variety A produces 1 ear per plant. The farmer planted 1/3 of his 320 acres in Variety A. How many
bushels of corn can he expect from Variety A?
1/3 x 320 = 106.66 acres x 135 bushels = 14,399.1 bushels
b)Variety B produces 2 ears per plant. The farmer planted half of his 320 acres in Variety B. How many
bushels of corn can he expect from Variety B?
1/2 x 320 = 160 acres x 270 bushels = 43,200 bushels
c)Variety C produces 1.5 ears per plant. The farmer planted the rest of his acreage in Variety C. How many
bushels of corn can he expect from Variety C?
1/6 x 320 = 53.33 acres x (135 x 1.5) = 10,799.325 bushels
d)What is the total yield the farmer can expect for the entire 320 acres?
14,399.1 + 43,200 + 10,799.325 = 68,398.425 bushels
e)How much would the farmer receive from the sale of his corn at $2.40 a bushel?
68,398.425 x $2.40 = $164,156.22
Produced by Oklahoma Ag in the Classroom, a program of the Oklahoma Cooperative Extension Service, the Oklahoma Department
of Agriculture, Food and Forestry and the Oklahoma State Department of Education, 2008.
Was this manual useful for you? yes no
Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Download PDF

advertisement