CMB Coloring Worksheet - Berkeley Center for Cosmological Physics

Lessons about the Cosmic Microwave Background (CMB)
Abstract
Students are always curious about how our universe started and how it is changing. The
Cosmic Microwave Background is pivotal to exploring those questions. The focus of this
project is for students to understand that the Cosmic Microwave Background is the baby
picture of the visible universe. The original discovery was evidence of the Big Bang.
The slight differences in temperature are the precursors of the stars and galaxies that exist
today and may lead to a deeper understanding of how the Universe continues to evolve.
Connection to Fellowship
The CMB activity is one that was developed and used during the two week workshop on
Cosmology. This workshop and the Universeadventure.org website were both developed
under the guidance of George Smoot, winner of the 2006 Nobel prize in Physics for his
work mapping the CMB. Work on both the website and workshop are part of the
Summer Fellowship at Lawrence Berkeley National Lab. The activity is also one that
will become part of the activities that accompany the Universeadventure.org website.
State Standard Alignment
This ETP will discuss both the evidence for the "big bang" and its connection to large
scale structures. In doing so it addresses the Earth Science standard discussing the
Earth's Place in the Universe:
Standard 2. Earth-based and space-based astronomy reveal the structure, scale,
and changes in stars, galaxies, and the universe over time. As a basis for
understanding this concept: g. Students know how the red-shift from distant
galaxies and the cosmic background radiation provide evidence for the "big bang"
model that suggests that the universe has been expanding for 10 to 20 billion
years.
Appropriate Courses
In addition to Earth Science (Standard listed above), these lessons are also appropriate for
High School Physics. Although the state standards in Physics do not include cosmology
or the CMB, this really is an application of e-m waves and their relationship to
temperature, and temperature to density.

Lesson Plan
Lesson about the Cosmic Microwave Background (CMB)
I. Content: Students will understand how the Cosmic Microwave Background is
evidence of the Big Bang Theory. Students will understand that the slight variations in
temperature are the seeds of the large scale structures that evolved over cosmic time.
They will understand that a decrease in temperature causes an increase in density and
that more dense areas have more gravity. These low temperature, high density, larger
gravity regions are the starting points of structure formation in the Universe.
II. Prerequisites: Students should understand that density is mass / volume. Students
should know that gravity increases with mass and decreases with distance. Students
should understand that (except for water at 4 degrees C) as materials cool they become
denser. Students should understand that the Universe started as a much smaller hot dense
region that expanded outward in an event called the Big Bang.
III.Instructional Objective: Students will be able to describe how the Cosmic Microwave
Background is evidence of the Big Bang Theory and that the slight variations in
temperature are the seeds of the large scale structures that evolved over cosmic time.
They will be able to state the rule that decreasing temperature increases density and that
more dense areas have larger gravity and therefore attract more matter. They will also
be able to describe that these low temperature, high density areas in the CMB are the
starting points of structure formation in the Universe.
IV. Instructional Procedures:
1) Pass out Class Discussion Handout to accompany the review of concepts #2-7
(see page 5).
2) Review the concept of density. Remind students that density is mass / volume.
3) Discuss the fact that as material cools down it becomes denser since its volume
decreases. (If brought up remind students that water is the exception to this
since it is most dense at 4 degrees C. That is why ice at 0 degrees C floats even
though it is colder than liquid water.)
4) Discuss the fact that everything with mass attracts everything else with mass
and the greater the mass the greater the gravitational attraction.
5) Remind students that scientific evidence supports the Big Bang Theory which
states that the Universe started out as a very small hot dense area of energy that
has over the last 13.7 billion years expanded and cooled into the stars, planets,
and the galaxies we see today.
6) Tell students that the CMB (Cosmic Microwave Background) is like a baby
picture of our early Universe. It is evidence that supports the Big Bang Theory.
7) Discuss that microwaves are a type of electromagnetic wave meaning they carry
energy just like visible light. They are the waves that carry energy that cook
food in microwave ovens. Microwaves are longer wavelengths than visible
light. Cosmic Microwaves are the energy that spread out from the Big Bang.

8) Have students color in the CMB coloring page (see page 8). This will help
them see the variations in the CMB. These variations are what lead to galaxies
such as our own Milky Way, and clusters of galaxies. Different colors can be
substituted but remember that blue light is higher energy than red light.
Students
could also design their own way to designate the differences using one color.
9) Have students go to the http://www.Universeadventure.org website:
(Smoot, George, et al.
The Universe Adventure
Lawrence Berkeley National Laboratory.
Copyright © 2005 Lawrence Berkeley National Laboratory Physics Division |
Last Update: August 2, 2007
http://www.universeadventure.org)
Once at the site have them go to the section labeled Evidence for the Big Bang.
In that section have them go through the pages labeled Cosmic Microwave
Background Accidental Discovery and Origins of the CMB. If students do not
have computers you could assign reading from their text or copy the included
text from those pages from the website (see pages 13-18). For students that
need a guided questions to answer while going through the website or reading
have them complete the Website Questions handout (see pages 6-7).
10) Then have students complete the Understanding the Cosmic Microwave
Background sheet (see page 9). A comment on question 4: you may wish to
skip this if you don’t have access to the website since the text version doesn’t
show this part. Also, this may be too detailed if students don’t have an
understanding of red-shift.
11) Discuss the correct answers. Answer keys on pages 11-12.
V. Materials and Equipment:
colored crayons or pencils
copy machine or printer to duplicate the worksheets
colored one for #4 on the Understanding CMB
CMB coloring page can be done without a color copier,
just list the colors in the key
internet access *(one computer for every two to three students)
or copy attached text (pages 13-18)
or assign appropriate pages from class text
*The internet pages do contain animations that help clarify the concepts.

VI. Assessment/ Evaluation:
Give the following quiz (see page 10 for handout copy):
1) When something is cooled it becomes: a) more dense b) less dense .
2) As mass increases gravity? a) increases b) decreases c) remains constant.
3) The Cosmic Microwave Background is important because:
a) it cooks my food, b) is evidence of the Big Bang, c) has neat colors
4) More dense areas have: a) less gravity so matter collect there b) more
gravity so matter collects there c) no gravity so matter collects there.
5) Colder regions in the CMB are: a) areas were no matter exists b) areas that
are less dense so matter collects, c) areas were matter collects due to
increased density, d) are more dense areas were matter can’t collect.
6) The starting points in the Universe for structures such as stars are:
a) cold, dense, high gravity regions, b) warm, dense, low gravity
regions, c) cold, low density, low graivty regions.
VII. Follow-up Activities:
1) Have students write a paragraph describing how the slight variations in the
temperatures in the CMB lead to large scale structure formation.
2) Have students make a flip book showing structure formation.
3) Go through other sections of the Universeadventure.org website. Such as
in the section on Evidence for the Big Bang go through the pages on
Red-shift then complete the Rubber Band activity accessed through
the teacher section on the title page of the website. This will help
students understand the expansion of the Universe.
4) Explore more of the Universeadventure.org website and the teaching
materials there to learn more about the Big Bang and the History of our
Universe.
5) For highly motivated students they could read Wrinkles in Time by George
Smoot and report back to the class.
VIII. Worksheets, Answer Keys, and Copy of Website pages.
Class Discussion Worksheet
Website Questions
CMB Coloring Page
Understanding the Cosmic Microwave Background
Quiz
Answer Keys
Copy of Website pages

Class Discussion - Student Worksheet
1) The equation for density is:
NAME __________________________
2) An example of something
a) more dense than water is b) less dense than water
3) In my own words density means:
4) As things cool down their size (volume) ________________ so they become
_______________dense.
5) Everything with matter will _____________everything else with matter.
6) In my own words gravity means:
7) List ways to increase gravity.
8) What is the Big Bang Theory?
9) What evidence is there to support this theory?
10) What is a wave?
11) What type of wave are Cosmic Microwaves?

NAME____________________________
Website Questions to go with the reading from Universedaventure.org.
1) What was the accidental discovery of Penzias and Wilson?
2) Why was this discovery important to Astrophysics?
3) How long after the Big Bang was the CMB formed?
4) What were the conditions of the early Universe at the time the CMB formed?
5) What is the temperature of the CMB now?
6) What made the Universe cool down as demonstrated in the CMB?
7) What do the differences in color in the CMB represent?
8) The light from the CMB really came from a process called decoupling in which
__________________ separated from _________________. This separation
occurred because the Universe __________________which cooled the Universe

enough that ______________could form when electrons bond to nuclei.
9) The original light was at a temperature of _______K (________degrees F).
Sketch what happened to the wavelengths of light as the temperature cooled due
to the expansion of the Universe.
Hotter - - - - - - - - - - - - - - - - Cooler
10) This stretching of wavelengths is called the _______________ because red
wavelengths of light are longer than yellow or green or blue.
11) The age of the Universe is ______________________.
12) The anisotropies on the CMB represent tiny ______________ in ____________
which are really fluctuations (changes) in ______________________.
13) The colder areas are more dense and denser areas have more ______________ so
they can attract more matter leading to the formation of ___________________.
14) Explain why the CMB and maps of the Earth are shaped like ovals.
15) Why is the CMB so important?
16) Why are the anisotropies so significant?

Understanding the Cosmic Microwave Background
1.a) When did the CMB occur?
b) What is the Cosmic Microwave Background?
c) What significant event happened in cosmic history to produce the CMB?
2. How do temperature & density relate—why?
3. Although the discovery that the CMB is virtually the same temperature
everywhere was significant, the slight variations in temperature are now
of great interest—why? What do these “wrinkles in time” have to do
with the history of the universe?
4. Below are some other pictures of the CMB. Why do they appear so
different from the one you colored? What are the differences?

CMB Quiz Name_______________________
Date__________________
1) When something is cooled it becomes: a) more dense b) less dense.
2) As mass increases gravity? a) increases b) decreases c) remains constant.
3) The Cosmic Microwave Background is important because:
a) it cooks my food b) is evidence of the Big Bang c) has neat colors
4) More dense areas have:
a) less gravity so matter collect there
b) more gravity so matter collects there
c) no gravity so matter collects there
5) Colder regions in the CMB are:
a) areas were no matter exists
b) areas that are less dense so matter collects
c) areas were matter collects due to increased density
d) are more dense areas were matter can’t collect
6) The starting points in the Universe for structures such as stars are:
a) cold, dense, high gravity regions
b) warm, dense, low gravity regions
c) cold, low density, low graivty regions.

Answers to Student Worksheet – Class Discussion
1) Density = Mass / Volume
2) a) cement, books, most rocks b) Styrofoam, oil, beach ball, air
3) Density is how much matter (stuff) is per space.
4) Decreases (shrinks), more
5) Attract
6) Gravity is the attraction (or pull) that everything has on everything else.
7) You can increase gravity by increasing mass or bringing things closer together.
8) The Big Bang Theory states that the Universe was once a smaller more dense
hotter area that has expanded over time.
9) The evidence to support this theory is the Cosmic Microwave Background.
(Other evidence not specifically addressed in this lesson include: a) expansion of
the Universe b) elemental abundances c) evolution of stars and galaxies. Thee are
discussed in further detail in other website pages.)
10) A wave is a transfer of energy.
11) Cosmic Microwaves are a type of electromagnetic wave. (These include visible
light.)
Answers to Website Questions
1) Penzias and Wilson discovered microwave radiation (CMB) coming from all
directions from space.
2) This discovery was important to Astrophysics because it supplied evidence for the
Big Bang Theory.
3) The CMB was formed about 380,000 years after the Big Bang.
4) The early Universe was hot and dense.
5) The CMB is 2.7 K now.
6) The Universe and the expanded which caused the energy to spread out as shown
in the waves stretching.
7) The differences in the colors of the CMB represent small differences in
temperature.
8) Matter, light, expanded, atoms.
9) 3000 K, (5000 F)
hotter should be small wavelengths, cooler should be longer wavelengths
10) Red-shift
11) 14 billion years (14.7)
12) variations (differences), temperature, density.
13) Gravity, stars and galaxies.
14) These maps are shaped like ovals because it is the way to represent a sphere on a
flat piece of paper.
15) The CMB is so important because it is evidence that supports the Big Bang.
16) Anisotropies are significant because these slight differences are the seeds of star
and galaxy formation.

Answers to the Understanding the Cosmic Microwave Background worksheet:
1) The CMB is the Cosmic Microwave Background. It is the baby picture of the
early Universe since it is the waves that spread out from the Big Bang. The Big
Bang occurred 13.7 billion years ago.
2) As temperature decreases substances become more dense (except for water at 4
degrees C.) Decreasing temperature makes objects decrease in volume. Since
density is mass/ volume, if the volume decreases the density increases.
3) The slight variations in temperature lead to areas that are denser and these colder
more dense regions have a slightly larger gravity so they collect more matter
leading to large-scale structures such as stars.
4) The first picture demonstrates the CMB before the effect of the direction of
motion is removed. When moving towards light the light appears blue shifted as
seen in the lower left, when moving away the light is red shifted as seen in the top
right.
The second picture still shows the light from the Milky Way (our galaxy) which
we look through to see the CMB.
Answers to the quiz
1- a
2-a
3-b
4-b
5-c
6-a

Smoot, George, et al.
The Universe Adventure
Lawrence Berkeley National Laboratory.
Copyright © 2005 Lawrence Berkeley National Laboratory Physics
Division | Last Update: August 2, 2007
http://www.universeadventure.org
The Universe Adventure
Cosmic Microwave Background Radiation
"Once you eliminate the impossible, whatever is left, no matter how improbable, it must
be the truth." -Sir Arthur Conan Doyle, Sherlock Holmes
Accidental Discovery
In 1964, Bell Laboratory scientists Arno Penzias and Robert Wilson were trying to detect
sources of radiation that might potentially harm satellites. Their data, however, showed
background noise from a microwave signal corresponding to a temperature of
approximately 2.7 K that appeared to be emitted from every direction. This apparent
aberration was recognized by scientists at Princeton as remnant radiation from the earliest
observable moment in the evolution of the universe, now called the Cosmic Microwave
Background.
Arno Penzias and Robert Wilson with the Horn Antenna used to discover the Cosmic
Microwave Background.
Their discovery was a tremendous one for astrophysics, providing a glimpse of the
earliest observable moment in the evolution of the Universe.

What is the CMB?
The Cosmic Microwave Background, or CMB, is ancient radiation leftover from a time
roughly 380,000 years after the Big Bang when the hot, dense plasma that permeated the
Universe cooled with the expansion of space. At a nearly uniform temperature of 2.7
Kelvin, the CMB fills the entire Universe and can be detected everywhere we look. If the
human eye could see microwaves, the entire sky would glow with nearly equal brightness
in every direction.
A map of the Cosmic Microwave Background. The different spots of color correspond to
different temperatures and in turn, different densities.
Here are some questions about the CMB that we will answer in this section:
• Where did it come from?
• Why is it so cold?
• Why is the map different colors?
• Why is the map of the CMB an oval?

The Universe Adventure
Origins of the CMB
The first light radiated after decoupling is now known as the CMB.
During the first 380,000 years after the Big Bang, the universe was so hot that all matter
existed as plasma. During this time, photons could not travel undisturbed through the
plasma; instead, the photons constantly interacted with the charged electrons and
baryons. This is a phenomenon known as Thompson Scattering. As a result, the universe
was opaque. As the universe expanded and cooled, electrons began to bind to nuclei,
forming atoms. The introduction of neutral matter allowed light to pass freely without
scattering. This separation of light and matter is known as decoupling.
The light first radiated from this process is what we now see as the Cosmic Microwave
Background. Similarly, in the video below, the precipitate in a solution of magnesium
hydroxide scatters light from a flashlight, making it opaque to radiation.
Movie: The Last Scattering | Download
Why is the CMB so Cold?
Light from the CMB was red shifted as the universe expanded, cooling it over time.

The CMB is a perfect example of red shift. Originally, light from the CMB had a much
shorter wavelength corresponding to a temperature of about 3,000 K (nearly 5,000° F).
As the universe expanded, the light was stretched into longer and longer wavelengths.
By the time the light reaches us, 14 billion years later, we observe it as microwaves at a
frigid 2.7 K (-450° F). This is why CMB is so cold now.
What do the Colors on the CMB Map Represent?
Although the temperature of the CMB is almost completely uniform at 2.7° K, there are
very tiny variations, or anisotropies, in the temperature on the order of 10 -5 K. The
anisotropies appear on the map as cooler blue and warmer red patches. But what do these
minute fluctuations mean?
Map of the CMB created from data gathered by the Wilkinson Microwave Anisotropy
Probe (WMAP).
These anisotropies in the temperature map correspond to areas of various density
fluctuations in the early universe. Eventually, gravity would draw these fluctuations into
even denser ones. After billions of years, these minute ripples in the early universe
evolved, through gravitational attraction, into the planets, stars, galaxies, and clusters of
galaxies that we see today.

Why are Maps of the CMB Shaped like Ovals?
The spherical map of the CMB translates to an oval in the same way a globe translates to
a familiar oval map when flattened.
The CMB is shaped like an oval for the same reason that many maps of the world are
ovals. You can't take a sphere and make it flat without tearing it, because a sphere is
fatter in the middle than at the top and bottom.
To see why this is true, peel and orange and try to flatten it. The only way you can
accomplish this is by tearing the peel, or distorting it. Instead of "tearing" the map of the
CMB, it is depicted as an oval, which is the shape with the least angular distortion of the
original sphere.

The Predictive Power of the CMB
In 1992, physicists used the orbiting COBE satellite to make the first detailed
measurements of the CMB anisotropy.
The CMB is one of the strongest pieces of evidence for the Big Bang model. The theory
makes highly accurate predictions about the size and types of anisotropies in the CMB as
well as its nearly perfect black body spectrum, all of which have been verified by
experiment and observation. The discovery of the CMB in the 1960's marked the end for
several competing cosmological models including the Steady State theory.
With the information attained from the CMB, we can understand the formation of the
structure and matter of the universe.