- SUBJECT:
Science
- GRADE:
Fifth
- TECHNOLOGY:
Spreadsheets
- BY: Michele
Cadenas, Harvey Kelly, Lisa Rainen
GRAPH THE DENSITY OF
FRUIT
Target
Grade/Subject
The target audience for this science
lesson is a fifth grade heterogeneous class. Previous lessons have
included measuring the mass and volume of certain objects using a
balance scale and a graduated cylinder. In addition, students are
proficient in using a spreadsheet application.
During the fifth grade, students
should be encouraged to use logic to understand and formulate
concepts and ideas. In view of Jean Piaget's theory of cognitive
development, students are in the concrete operational stage of
development. In this stage, the child recognizes a logical stability
to the physical world. He/she has acquired the abilities to handle
the operations of conservation, classification and serration. In
addition, he/she recognizes that physical elements can be changed or
transformed and still conserve many of their original
characteristics. He/she also understands that these changes can be
reversed. The student now possesses a complete and logical system of
thinking and capable of attaining meaning from more abstract
concepts.
From a sociological-cultural
perspective, peer collaboration is an important element to cognitive
development. Working cooperatively, students become active assistants
in the acquisition of knowledge. In striving to understand one
another, they provide appropriate scaffolding to support new
learning.
The following lesson is designed to
address the students' capabilities during this stage of development.
In cooperative groups, the students will perform hands on experiments
to understand the concept of density.
Objective
1.
Given an assortment of fruits, each student will work in groups to
calculate and graph the density of each fruit with 100%
accuracy.
2.
Given a cooperative task within a small group setting, each student
will actively participate and contribute to project completion to the
satisfaction of all other group members.
Virginia Standard of
Learning
Science: 5.1 The student will plan
and conduct investigations in which appropriate
instruments are selected and used for making quantitative
observations of length, mass, volume, and elapsed time;
- data are collected, recorded, and
reported using the appropriate graphical representation (graphs,
charts, diagrams);
- accurate measurements are made
using basic tool (thermometer, meter stick, balance, graduated
cylinder)
Materials
Five of the following: apple, bell
pepper, star fruit, balance scale, large graduated cylinder and
computer with Microsoft Excel spreadsheet application
Other materials needed: a basketball,
a bowling ball, water, toothpicks, paper towels and a printer
(connected to the five computers)
Lesson
Description
Introduction
- Begin by reviewing previous
lessons of mass and volume.
- Introduce the concept of density
to the class. Show the basketball and bowling ball to the class.
Allow student volunteers to come forward and describe the
similarities and differences between the two objects. (Responses
should include that the size is similar, yet the weight is
different)
Content
Focus
- Discuss density with the class
using the following questions:
- Why do you think the bowling
ball weighs more than the basketball?
- How could you calculate the
density of an object?
- Write the formula for density on
the board.
Density =
MassxVolume
- Write a definition for density on
the board.
Density = the
mass per unit volume of a substance.
- Stress the understanding that the
greater the mass of the substance does not necessarily mean the
greater the density.
- Tell the students that you have
calculated the density of a fruit earlier today and that you have
hidden this secret' fruit in your desk. Explain to them that they
will have to discover what fruit is hidden in your desk by
calculating the density of the following three fruits (an apple, a
star fruit and a bell pepper).
- Have the students determine what
equipment they will need to make the appropriate measurements.
(Responses should be a balance scale [mass] and a
graduated cylinder [volume]).
- Divide the students into five
heterogeneous groups and give one of the following to each group:
a balance scale, a large graduated cylinder filled half way with
water, an apple, a star fruit, a bell pepper, toothpicks and some
paper towels (just in case they spill some water).
- Circulate among the five groups
as the students measure the mass and volume of the three fruits.
Make sure the students use the toothpicks to submerge the fruits
completely under water while they measure the fruits' volume.
Assist the students as they calculate the density of the fruit.
- Assign a computer to each group
and have the students plug in their measurements for mass and
volume using the spreadsheet application. Students can check their
calculated densities with the computers' calculations.
- Have the students graph the
densities of the three fruits on a bar graph using the spreadsheet
application. The students will give their graph a title, label the
graphs axes and write a short paragraph about their findings and
understanding of density. The paragraph should include the answers
to the following questions:
- What is the relationship of
mass to density?
- What is the relationship of
volume to density?
- Direct students to print and post
graphs at the front of the room.
- Tell the students the density of
the fruit that you have hidden in your desk.
- Have each group predict the
secret' fruit according to their groups' findings.
- Reveal the secret fruit from your
desk.
- Have students troubleshoot
discrepancies to determine where possible mistakes were made
(measurements, data collection, calculations, or spreadsheet
input).
Closure
- Discuss the students'
understanding of density by asking the following questions:
- Who can explain the concept of
density to the class?
- How can you apply what you
have just learned about density to practical life problems?
- Have the students' problem solve
through the following scenario:
- While diving off the Cayman
Islands, you and your best friend discovered two identical
treasure chests. From the ship documents that you have
recovered, you know that one is full of gold coins and the
other silver coins. Although you can not open them, you have
x-rayed the chests and know that they are both completely full.
Your well-equipped vessel has started taking on water at a
rapid pace. The life raft is only big enough for you, your
friend and one treasure chest. Knowing that gold coins are
worth much more than silver coins of the same size, what more
would you need to know to decide which chest to
take?
Evaluation
Procedure
- Assess the students' individual
knowledge of mass, volume and density while circulating around the
room during the cooperative group work and during discussion
questions.
- Each of the groups will turn in
their printout of their spreadsheet graph and the paragraph
indicating their understanding of density. Be certain the students
calculate the density of each fruit correctly in their graph and
that they include an understanding of the concept of density in
their paragraph.
- Each student will be evaluated by
the members of their cooperative group using the Peer Evaluation
form attached.
- Each student will be individually
assessed by completing questions on density in the matter unit
test.
Peer
Evaluation
Your Name:
__________________________
Group Member's Name:
__________________________
Check the appropriate box for each
item (add comments if necessary).
Excellent
Satisfactory
Needs Improvement
Contributed to measurement
activity
Compared calculations on density with
other group members
Contributed to graphing
activity
Cooperated with group
members
Comments: