Name:
Date:
Period:
This week, we will be exploring all kinds of geometric shapes – the vocabulary and the steps taken to construct them – as well as making our own patterns and
sketches from what we learn in class. We will take what we learn from this week and what we sketch and use it to help us design our stained glass artwork. For
chemistry, we will start exploring how atoms and elements are similar to us and how they have personalities of their own, which will be used in our mini-project
called “Which Element are You?”
1st Hour
CLASS
MONDAY (9/13)
TUESDAY (9/14)
Math: intro to using a
compass and a straightedge
to make line, circle, knot
and tile designs; also, we
will be exploring the
cultural implications of
designs
Math: points, line, planes,
segments; construction #1
– duplicating a line
segment; construction #2 –
perpendicular
bisector/midpoint of a line
WEDNESDAY (9/15)
Math: ALEKS help session
(get help on whatever you
need help with in class)
THURSDAY (9/16)
Math: intro into angles and
types of angles;
construction #3 –
duplicating an angle
FRIDAY (9/17)
Math: angle relationships;
construction #4 – angle
bisectors
Sketch #4
Sketch #3
Sketch #2
Homework
2nd Hour
Sketch #1 (2 out of the 4
designs)
Chem: Matter and Atoms
(Democritus & The Atoms
Family)
Chem: J.J. Thomson and
Rutherford’s Gold Foil
Experiment
Chem: Atomic Model
Timeline
Chem: How to use the
Periodic Table (Periodic
Table Bingo)
Chem: Atomic Math
Finish sketch #1 if needed.
Finish sketch #2 if needed.
Open House
Complete Line, Circle, Knot
and Tile Designs;
Introduction to Atoms Part
1; An Atom, the Smallest
Part of Matter; What’s the
Charge: Remaining Neutral
Complete Points, Lines,
Planes, Segments, Rays;
Geometric Construction
Part 1; Introduction to
Atoms Part 2; Rutherford’s
Gold Foil Experiment
Create a vocabulary chart
for the terms assigned in
class; Atomic Model
Timeline
Your total time on ALEKS
must be 2 hr 30 mins by
Sunday night (9/19).
Complete Intro to Angles;
Geometric Construction
Part 2; Periodic Table
Crossword; Intro to
Periodic Table
Finish Sketch #3
1
Complete Types of Angles;
Geometric Constructions
Part 3; Atomic Math
Finish Sketch #4
SOME INFORMATION YOU MIGHT NEED TO KNOW…
Knot Designs
REQUIREMENTS FOR EACH SKETCH
*You need to use your compass and ruler for each of your designs
*You must include the type of geometric constructions or designs that
you learned in class for that day
*Each sketch needs to look like you put forth all your effort and
creativity
*Each sketch should be labeled with the type of design/geometric
construction you used
*Each sketch should include a reflection on the design (did you like the
design or not? Why or why not? Will you use it for your project? Why?
Where did you get your inspiration from to make your design?)
Reflection: I really like this design turned
out because of the way the rings seem to be
layered on top of each other… I think I
might use it for my project…
VOCABULARY CHART
This vocab chart will contain all the words that we have learned throughout this project. Your vocab chart will be a piece
of notebook paper, folded in half. One column will be the word, one column will contain the definition. On the other
side, one column will contain an example or an illustration, one column will use the word in a sentence.
Word
MASS
Definition
how much stuff
an object has
Illustration
Sentence
The block has a
mass of 30 g.
2
3
4
LINE, CIRCLE, KNOT AND TILE DESIGNS
1. What are the tools that classical mathematicians used in geometry?
2. Name the
types of
symmetry that
the following
designs have.
3. Organic molecules in chemistry have geometric shapes. How many different lines of reflectional
symmetry does this benzene molecule have? Does it have rotational symmetry? Why or why not?
4. Create a 6-petal daisy design and shade it so that it has rotational symmetry but not reflectional symmetry.
5
INTRODUCTION TO ATOMS PART 1
1.) Who was Democritus and what did he believe that matter was made of? Was Democritus correct in his theory, why
or why not?
2.) What are atoms?
3.) What are the 3 subatomic particles? What charges do they have? Are they big or small in size? Where are they
located? Fill in the chart below.
Subatomic Particle
Charge
Big or small in size?
6
Where are they located?
7
8
9
10
POINTS, LINES, PLANES, SEGMENTS, RAYS
1. Name each line in 2 different ways.
a.
b.
2. Draw the 2 points and label them. Then use a ruler to draw each line. Don’t forget to use arrowheads to show that the
line extends indefinitely.
a.
b.
3. Name each line segment of the triangle below.
4. Draw and label the following line segment.
5. Name each midpoint and the segment it bisects.
b
a
a.) __________ is the midpoint of segment _____________.
b.) ______ is the midpoint of segment _________. ____________ is the midpoint of segment __________.
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6. Draw 2 segments that have the same midpoint. Mark your drawing to show congruent segments.
7. Name the following rays in two different ways.
a.
b.
8. Draw and label each ray
a.
b.
9. Draw a plane containing four coplanar points A, B, C and D, with exactly three collinear points A, B, D.
12
GEOMETRIC CONSTRUCTIONS PART 1: Duplicating a line segment; perpendicular
bisector/midpoint of a line
1. Using your compass and straightedge (without using the measurements on your ruler!), duplicate the three line
segments shown below. Label them as they are labeled in the figures.
2. Use the line segments in #1 to construct a line segment with the length of AB + CD.
3. Duplicate the following segment.
4. Draw and label
. Construct the perpendicular bisector of
5. Construct a segment that is
.
13
.
6.
7. The following is ∆ABC. Construct the perpendicular bisector of each side. What do you notice about all three
bisectors if you connect them?
14
INTRODUCTION TO ATOMS PART 2
Directions: Fill in the chart based on what you have learned and read.
How are these things similar or different?
The Atoms Family & Matterville
1. Perky Patty Proton
In the REAL Atom, they’re actually called…
1.
2. Nerdy Nelda Neutron
2.
3. Enraged Elliot Electron
3.
4. Nucleus Arcade
4.
5. Who are the 2 characters in the Nucleus Arcade?
_________________ & _______________
5. In the nucleus, the 2 particles are…
________________ & _______________
6. Enraged Elliot Electron races around
_____________________
6. Electrons are found
____________________
7. The 3 roads in Matterville are
_________________________________,
_________________________________,
_________________________________
7. In the REAL atom, the “roads” are actually called
________________
8. Label the parts of this atom:
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9.) What is an atom?
Atoms are…. ______________________________________________________________________________
10.) Look at this table. Draw what the atoms would look like in this table:
11.) Do scientists really know what parts are in an atom?
Scientists (pick one: DO KNOW or CAN ONLY GUESS) _______________________ what’s inside an atom because
___________________________________________________________________________________
What important experiment occurred that gave us more information about what an atom is composed of? Describe that
experiment.
12.) In class, we learned about the parts of the atom. What were the 3 parts of the atom called?
_________________, ___________________ and _______________________
13.) We also learned about what the parts of the atom look like. Fill in the table below:
Parts of the Atom
What are the charges of this part
of the atom?
What is the size of the
particle? (large? Small?)
proton
neutron
electrons
16
Where is this part of the
atom located?
14.) Look at the following pictures of an atom. Label where the electrons, neutrons, protons, the nucleus and the energy
levels are… (GOLD IS POSITIVE, B LUE IS NEUTRAL)
15.) Now take a look at these pictures. Tell me how many electron, protons and neutrons
1.) Hydrogen:
protons:
neutrons:
electrons:
2.) Helium:
protons:
neutrons:
electrons:
3.) Lithium
protons:
neutrons:
electrons:
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4.) Sodium
RUTHERFORD’S GOLD FOIL EXPERIMENT
Answer the following questions in COMPLETE SENTENCES
1.) Who was Democritus and what was his theory?
2.) Was Democritus’ theory correct? Why or why not? What do scientists believe presently about the atom?
3.) Who was J.J. Thomson and what did he believe the atom looked like?
4.) Draw an example of J.J. Thomson’s atomic model.
5.) Describe what happened in Ernest Rutherford’s gold foil experiment. What did they learn from this experiment?
6.) How does Rutherford’s gold foil experiment compare to the activity we did in class?
18
ATOMIC MODEL TIMELINE
Write an essay explaining how the model of the atom has changed over time. Make sure you mention and explain every
model that we talked about in class.
19
Introduction to Angles
1. Name each angle in 3 different ways
a.
b.
2. Draw and label each angle
a.
b.
3. For the figure below, list the angles that you can name using only the vertex letter.
4. Find the measure of each of the following angles.
a.) m AQB = _______
b.) m ZOY = _______
c.) m AQC = _______
d.) m ZQX = _______
e.) m XQA= _______
f.) m CQB = _______
g.) m AQY = _______
h.) m XQY = _______
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5. Adjacent Angles: Look at the picture of the protractor in #4. XQA and XQY share a vertex and a side. Taken
together they form the larger angle AQY. Compare their measures. Does mXQA + mXQY = mAQY? Show your
work below.
6. Use a protractor to find the measure of the following angles:
a.
b.
7. Use a protractor to draw the following angles.
a.) mA = 44
b.) mB = 90
c.) mCDE = 135
8. Use your protractor to draw the angle bisector of draw the angle bisector of A which has a measure of 44 and the
angle bisector of D which has a measure of 135. Use markings to show that the two halves are congruent (equal in
measurements).
9. Write down what you know from the markings. Don’t use your protractor or ruler.
a.)
MI = _______
IC = ________
mM = _______
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GEOMETRIC CONSTRUCTION #2: Duplicating an Angle
1. Use a compass and a straightedge to duplicate each angle. There’s an arc in each angle to help you.
2. Here are 2 angles. Construct a third angle with the measure equal to the sum of the two angles. (remember sum
means adding together!). Don’t use a protractor – use a compass and a straightedge only.
3. REVIEW ALGEBRA:
22
23
Today you’re going to learn about the Periodic Table. The Periodic Table is a table that organizes different
type of atoms or elements in an easy-to read way. Elements are materials made out of just 1 type of
atom. Each box in the periodic table contains information about each type of atom. Take a look at the
periodic table at the back of this packet.
The first thing the periodic table tells is the name and the symbol of each element (type of atom). I want
you to practice with that:
Ex.
The element is hydrogen and the symbol is H.
1
H
Hydrogen
1.01
Practice:
2
He
The element is __________
and the symbol is _____
3
Li
Helium
4.00
The element is __________
and the symbol is _____
Lithium
6.94
Now look at the periodic table on the back of the packet. Find the element names for all of these atomic
symbol.
1. Ca ________________
7. F ______________
13. Xe _______________
2. Zr ________________
8. N ______________
14. Po _______________
3. Na _______________
9. Cl ______________
15. Si _______________
4. Ge _______________
10. Ar _____________
16. Rn ______________
5. P ________________
11. Kr _____________
17. Al _______________
6. O ________________
12. Br _____________
18. Ni _______________
Find the symbols for these element names.
19. Copper _________________
23. Molybdenum _______________
20. Tungsten _______________
24. Strontium _________________
21. Barium _________________
22. Cesium _________________
25. Magnesium ________________
26. Silver ____________________
The second thing the periodic table tells you is the atomic number (the number of protons/electrons).
24
1
Ex.
This number is the atomic number. It tells us that
hydrogen has 1 proton and 1 electron.
H
Hydrogen
1.01
Hydrogen’s atomic number is 1. It has 1 proton. And since it has 1 proton, to balanced out the
atom, it has 1 electron
Practice:
2
He
Helium
4.00
Element
3
Helium’s atomic number
Li
Atomic #:_______
# of protons: ______
# of electrons: ______
Atomic #
# of protons
Lithium’s atomic number
Atomic #: ______
# of protons: ______
# of electrons: _______
Lithium
6.94
# of electrons
Element
1. Ca
8. N
2. Zr
9. Cl
3. Na
10. Ar
4. Ge
11. Kr
5. P
6. O
12. Br
13. Xe
7. F
14. Po
Atomic #
# of
protons
The third you need to know is what we call the columns and rows of the periodic table.
Going up and down on the periodic table (the columns) are called groups.
Going left and right on the periodic table (row) are called periods.
Go to the periodic table attached to the packet. Find HYDROGEN. Hydrogen is ing
r
group 1, period 1.
Helium is in group 18, period 1.
o
Cobalt (27) is in group 9, period 4.
u
Calcium(20) is in group 2, period 4.
p
s
Find the following elements:
periods
Cesium: period _______, group _______
Potassium: period _____, group _______
Lithium: period ______, group _______
Silicon: period _______, group ________
Sulfur: period _______, group _________
Argon: period _______, group __________
25
# of
electrons
TYPES OF ANGLES
1. Draw and carefully label the figures. Use the appropriate marks to indicate right angles, parallel lines, congruent
segments and congruent angles. Use a protractor and a ruler if needed.
a. Acute angle DOG with a measure of 45.
b. right angle RTE
c. obtuse angle BIG with angle bisector
d.
e.
f. Verticle angles ABC and DBE
g. complementary angles A and B with mA = 40
h. supplementary angles C and D with mD = 40
2. What is the difference between complementary and supplementary angles?
3. If X and Y are supplementary angles, are they necessarily a linear pair? Why or why not?
26
4. Fill in the blanks:
a. An acute angle is an angle that measures ____________________.
b. Completey angles are angles that have measure that are ________________.
c. A midpoint is a point that __________________________________________.
5. Three of the following statements are true. Draw a sketch or demonstrate each true statement. For each statement
that is false or wrong, draw a counterexample (an example to prove it wrong).
a. For every line segment there is exactly one midpoint.
b. For every angle there is exactly one angle bisector.
c. If two different lines intersect, then they intersect at one and only one point.
d. If two different circles intersect, then they intersect at one and only one point.
e. Through a given point on a line, there is one and only one line perpendicular to the given line.
f. In every triangle there is exactly one right angle.
g. If mD = 40 and mC=140, then the angles C and D are a linear pair.
27
Geometric Constructions Part 3: Constructing an Angle Bisector
Construct angle bisectors for the following angles:
1.
2.
3.
4.
28
ATOMIC MATH
29
Find the number of protons, electrons and neutrons for each element.
30