September 30, 2014
September 2, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
If an original point was located at (4,5) and it was
rotated 180 counter clockwise, reflected over the xaxis and translated (x - 4, y - 1). What would be the
coordinates of the copied image?
Agenda
• Warm-up
• If you did not take the test on Friday - please let me know now.
• If you did not get HW sheet #4 (due: 9/5), please let me know now.
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 3-4, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
How would you define dilation and scale factor?
How is dilation associated with scale factor?
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Complete the following task.
· Plot, label and connect the following points: A (2, 4) and B (4, 2)
· Make AB twice as long. What are the new coordinates? Label them A' and B'.
· Make AB half as long. What are the new coordinates? Label them A" and B".
Complete the following table and write a quick summary about the conclusion you've discovered.
A
B
A'
B'
A"
B"
2, 4 4, 2
Agenda
· Warm-up
· The Wump Family - Dilations (2-day assignment)
· Summarize - What conclusions can you make based on Mug (original figure) and the other figures?
· Tests have been graded and entered, please check your grade.
· If you did not take the test on Friday - please let me know now.
· If you did not get HW sheet #4 (due: 9/5), please let me know now. Extended - Due: Tuesday (9/9)
· Do you want a retake for the translations/rotation quiz?
· Please have the retake work turned in by 9/5
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
Mug
Dug
Wug
Zug
Lug
Tug
Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6
Set 1
Set 1
Set 1
Set 1
Set 1
Set 1
(6, 4)
(12, 8)
(18, 4)
(18, 12) (6, 12)
(8, 6)
(6, -4)
(12, -8)
(18, -4)
(18, -12) (6, -12)
(8, -2)
(-6, -4)
(-12, -8) (-18, -4)
(-18,
-12)
(-6, 4)
(-12, 8)
(-18, 4)
(-18, 12) (-6, 12)
(-4, 6)
Set 2
Set 2
Set 2
Set 2
Set 2
Set 2
(1, 1)
(2, 2)
(3, 1)
(3, 3)
(1, 3)
(3, 3)
(1, -1)
(2, -2)
(3, -1)
(3, -3)
(1, -3)
(3, 1)
(-1, -1)
(-2, -2)
(-3, -1)
(-3, -3)
(-1, -3)
(1, 1)
(-1, 1)
(-2, 2)
(-3, 1)
(-3, 3)
(-1, 3)
(1, 3)
Set 3
Set 3
Set 3
Set 3
Set 3
Set 3
(4, -2)
(8, -4)
(12, -2)
(12, -6)
(4, -6)
(6, 0)
(3, -3)
(6, -6)
(9, -3)
(9, -9)
(3, -9)
(5, -1)
(-3, -3)
(-6, -6)
(-9, -3)
(-9, -9)
(-3, -9)
(-1, -1)
(-4, -2)
(-8, -4)
(-12, -2) (-12, -6) (-4, -6)
(-2, 0)
Set 4
Set 4
Set 4
Set 4
Set 4
Set 4
(4, 2)
(8, 4)
(12, 2)
(12, 6)
(4, 6)
(6, 4)
(-6, -12) (-4, -2)
September 30, 2014
Summarize
Plot the ordered pairs given in the table to make six different figures. Draw each figure on a separate sheet of graph paper.
Connect the points with line segments as follows:
• For Set 1, connect the points in order. Connect the last point in the set to the first point in the set.
• For Set 2, connect the points in order. Connect the last point in the set to the first point in the set.
• For Set 3, connect the points in order. Do not connect the last point in the set to the first point in the set.
• For Set 4, make a dot at each point (do not connect the dots).
After drawing the six figures, compare Figure 1 to each of the other figures and answer the following questions.
1. How do the coordinates of each figure compare to the coordinates of Figure 1? If possible, write general rules for making
Figures 2-6.
2. Describe any similarities and/or differences between Figure 1 and each of the other figures.
• Describe how corresponding sides compare.
• Describe how corresponding angles compare.
3. What would be the effect of multiplying each of the coordinates in Figure 1 by ½?
4. Which figures are similar? Describe a sequence of transformations that takes Figure 1 to the similar figure.
5. Translate, reflect, rotate (between 0 and 90°), and dilate Figure 1 so that it lies entirely in Quadrant III on the coordinate
plane. You may perform the transformations in any order that you choose. Draw a picture of the new figure at each step and
explain the procedures you followed to get the new figure. Use coordinates to describe the transformations and give the scale
factor you used. Describe the similarities and differences between your new figures and Figure 1.
September 30, 2014
September 5, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Katherine wants to enlarge her favorite picture of her family so she can hang it in her bedroom.
The picture currently has dimensions of 5 x 7. She wants to enlarge it to a
15 x 21. When she takes the photo to the photo center, the retail clerk says that Katherine
would have to write a rule for her enlargement.
What rule did Katherine write so the clerk would know how much to enlarge the picture?
What if Katherine wanted to shrink the picture to 2.5 x 3.5 (so she could keep a wallet size
picture of her family in her purse), what rule would she write to shrink her photo? What is the
number called that Katherine is using to enlarge and/or shrink the picture?
Agenda
· Warm-up
· More on dilations (notes)
· Summarize - Tell me something new you've learned today.
· HW - time extended (Due: 9/9)
· Please turn in your retake work for the transformation test (due: now)
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 5, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Using the following coordinates, graph the figure:
D (4, 2),
E (4, 6),
F (6, 4),
G (6, 2)
Perform the following dilations and answer the follow-up question.
1.) (2x, 2y) 2.) (1/4 x, 1/4 y)
3.) (3x, 1/3y)
4.) Are any of the figures congruent? Are any of the figures similar?
Prove your answers!
September 30, 2014
September 5, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Notes
Dilations
When you are multiplying the x and the y coordinates by the same
number (or the same scale factor) then your image will be similar.
Ex. (x,y)
(x,y)
(4x, 4y)
Similar figure
(1/3x, 1/3y)
If you multiply the x and the y coordinates by a different number
(or a different scale factor) then your image will be distorted.
Ex. (x,y)
(6x, 2y)
Distorted figure
Reminder:
Whenever your scale factor is greater than 1, then you are enlarging
your image. As a result, whenever your scale factor is less than 1,
then you are shrinking your image.
September 30, 2014
September 8, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
In your own words define the following:
Congruent
Distorted Similar
Using (x,y) coordinates, provide rules for a congruent, distorted and
similar figure.
Agenda
· Warm-up
· More on transformations
· Study Guide for Unit Test
· Notes from Friday (5th period - only)
· Summarize - Tell me something new you've learned today.
· HW - time extended (Due: 9/9 - tomorrow)
· Unit Test on Transformations (Tentatively set for Wednesday)
· If you completed your work for the retake, please come to help session tomorrow morning to take the test.
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 8, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Explain what the following transformations will do to an original image.
Please identify if any are either congruent, similar or distorted.
1. (3x, 3y)
2. (0.50x, 3y - 6)
3. (7x, 4y)
4. (1/4x, 1/4y + 5)
September 30, 2014
September 9, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Write 2 paragraphs (in your composition notebook) about what you've learned about
transformations.
Here are some writing ideas:
Rules for transformations (How do you find the rule for a translation/rotation/reflection?)
How do I know when a figure has been dilated properly?
I know that the following rule (2x, 3y) is a distorted figure because.....
Agenda
• Warm-up
• Review the study guide from yesterday
• Notes on Transformations
• Summarize - Tell me something new you've learned today.
• HW - Due: now
• Unit Test on Transformations - Tomorrow
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 9, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Notes
Similar
1.) Same shape
Congruence
1.) Same shape
2.) Can be a different size
2.) Must be the same size
3.) Corresponding angles are similar
3.) Corresponding angles are similar
4.) Corresponding sides are proportionate 4.) Corresponding sides are equal
September 30, 2014
September 10, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Write and complete the following table [original figure
3x, 1/3y
Describe
What happens
the transformation to the figure?
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
(x,y)]
Is it congruent, distorted
or similar (Why?)
x+4, y-2
5x, 5y
1x, 1y
Agenda
• Warm-up
• Complete study guide (5th period only)
• Notes on Transformations
• Test on Transformations (including dilations)
• Summarize - Tell me something new you've learned today.
• HW - Due: Late -10 pts.
• Unit Test on Transformations - Today
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 11, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
No Warm-up
Get ready for your test on transformations
Agenda
• Warm-up
• Test on Transformations (including Dilations)
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
September 30, 2014
September 12, 2014
Today, we will temporarily deviate from our unit so you can learn several important
vocabulary symbols/terms that are often misunderstood. Please refer back to this lesson as
often as needed.
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
ALL MISSING WORK IS DUE ON MONDAY - SEPTEMBER 22ND!!!!!
Solve:
3 + 2 - 10 - 12 - 24 - (-25) + 10 + (-46) + 5 - (-1 + 5) =
Hint: Add up all of the positive numbers and all of the negative numbers separately then
subtract the sums.
Enjoy your break :-)
Answer: -51
Agenda
• Warm-up (Mandatory to write the warm-up question unless otherwise stated.)
• Show students their grades (all missing work due Sept. 22nd - Monday)
• What is +, -, x,
• Order of Operations & Inverse Operations (before continuing to unit 1b)
• Order of Operations Problems - Practice
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Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
Warm-up
Fill in the table with words that indicate each operation below.
Addition
Subtraction Multiplication Division
What are inverse operations?
September 30, 2014
Class Work
September 12, 2014
1.)
2.)
3.)
4.)
September 30, 2014
September 22, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Warm-up: Copy the word splash below into your notebook, then write what you know about each.
les
g
n
Tr
an
sve
lA
rsa
a
l
ti c
r
e
V
Alternate Exterior Angle
Angle
Corresponding Angles
Com
plem
gles
n
A
ent
y
ary
Alterna
ntar
e
te Inter
m
Ang
e
l
ior Angl
les Supp
e
Agenda
Adjace
nt Ang
les
• Warm-up (Please copy down all of the words in your notebook.)
• Collect all missing work! Please turn in your work for late credit!
> If you do not have your missing work, you will be writing a letter for your parent's signature!
• Begin Angles
• Pass out HW #5 - Similar Figures & Angle Relationships (Due: 9/26)
• Complete class work from Friday - before the break
• Summarize
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Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
1 2
4 3
5
8 7
6
September 30, 2014
September 23, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
How would you describe a transversal to a student who was absent
yesterday? Draw a picture with your definition.
Agenda
• Warm-up
• Similar figures/angles relationships
> Interactive notebook assignment
• HW #5 - Similar Figures & Angle Relationships (Due: 9/26)
• Summarize
www.bowiemath.weebly.com
Remind 101: (817)591-2023 with the message @bowie.
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
September 23, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Today you will cut, paste and define each of the angle relationship in
your mathematics notebook. The today's objective is to identify each
angle and REFINE your understanding of each term.
Stage 1: First forming your knowledge
Two lines that meet at a point...something with
degrees.
Example:
Angle
Stage 2: You have a better understanding but still need
more information
Two rays that meet and extend in different
directions
Stage 3: You conceptually understand the term. You are
using other vocabulary terms to explain the term.
Two rays that meet at an initial point or vertex,
extending in different directions measured in
degrees.
September 30, 2014
September 24, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Make an equation and solve for x.
45
x
Agenda
• Warm-up
• Similar figures/angles relationships (6 figures)
> Identify and solving angles (Be sure to write down the material in your notebook, so you can refer back to them.)
• HW #5 - Similar Figures & Angle Relationships (Due: 9/26)
• Summarize
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Remind 101: (817)591-2023 with the message @bowie.
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
September 24, 2014
Identify the angle
and solve for x
2X 60
September 30, 2014
September 24, 2014
2x 60
Supplementary Angles are two set of angles that equal 180 degrees.
September 30, 2014
September 24, 2014
Identify the angle
and solve for x
(4 x
+3
)
139
September 30, 2014
September 24, 2014
(4 x
+3
)
139
Alternate Exterior Angles are congruent angles that are located
outside the parallel lines and are on the opposite side of the
transversal.
September 30, 2014
September 24, 2014
2x
60
Identify the angle
and solve for x
September 30, 2014
September 24, 2014
2x
60
Vertical Angles are congruent angles that share a common vertex.
September 30, 2014
September 24, 2014
49
(2 x
+1
)
Identify the angle
and solve for x
September 30, 2014
September 24, 2014
49
(2 x
+1
)
Alternate Interior Angles are congruent angles that are located inside
of the parallel lines and are on the opposite side of the transversal.
September 30, 2014
September 24, 2014
Identify the angle
and solve for x
98 (x+5)
206
September 30, 2014
September 24, 2014
98 (x+5)
206
Adjacent Angles are angles that share a common side and vertex.
September 30, 2014
September 24, 2014
Identify the angle
and solve for x
(5 x
+2
)
62
September 30, 2014
September 24, 2014
(5 x
+2
)
62
Corresponding Angles are congruent angles that lie on the same side
of the transversal.
September 30, 2014
September 25, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Identify all of the following:
· Adjacent angles
· Vertical angles
· Corresponding angles
· Supplementary angles
· Transversal
· Alternate exterior angles
· Alternate interior angles
Agenda
• Warm-up
• Similar figures/angles relationships
> Notes
> City Project (Summative Grade)
• HW #5 - Similar Figures & Angle Relationships (Due: Tomorrow)
• Summarize
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Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
September 25, 2014
Solve and Check
September 30, 2014
September 25, 2014
September 30, 2014
September 26, 2014
Unit 1 Transformations, Congruence, and Similarity
Standards: MCCG8.G.1 MCCG8.G.4
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
p
Angle 3= 62
Angle 4= 46
4
2
l
5
Find the measures of all other angles.
3
1
m
n
Agenda
• Warm-up
• Similar figures/angles relationships
> Continue City Project (Summative Grade)
• HW #5 - Similar Figures & Angle Relationships (Due: Today)
• Summarize
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Remind 101: (817)591-2023 with the message @bowie.
Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
September 29, 2014
Unit 2 - Exponents
MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions.
You will have 30 minutes to complete city project. Please begin as
soon as you get your test. I will begin the timer after all tests have
been passed out.
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
Agenda
• Warm-up
• 30 mins. to Complete City Project (Summative Grade)
• HW #6 - Handed out - Due: Oct. 10th
• Summarize
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Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.
September 30, 2014
September 29, 2014
Now that you finished with the project, complete the following in your notebook.
Find the value of x and each angle.
x = ______
(2x + 1) = ________
(x - 43) = _______
September 30, 2014
Exponent Operations - September 30, 2014
Unit 2 - Exponents
Standard: MCC8.EE.1: Know and apply the properties of integer exponents to generate equivalent
numerical expressions.
Warm-up: Copy the word splash below into your notebook.
Then write what you know about each.
Expone
ntial Fo
rm
Simplify
Ex
pon
se
a
ent
B
Power
Form
Standard
Agenda
• Warm-up
• Begin Exponents
> Product and Quotient of Exponents
• HW #6 - Due: Oct. 10th
• Summarize
• The deadline for resubmitted work is Monday, October 6th.
F or
d
nde
a
p
Ex
m
Evaluate
Reminder!
When you are absent, it is your
responsibility to turn in your work
and get the assignment you missed
once you return.
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Lost your HW? Go to my weebly webpage to access Mrs. Merchant's webpage for all HW assignments.