9/16/13 Mon
description
Transcript of 9/16/13 Mon
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9/16/13 Mon
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Boot-Up 9.16.13 / 6 min.
The coaching staff wants to take the wallet-size photo below and enlarge it by a scale factor of 5.
3 in
.
4 in.What will be the dimensions of the enlarged image?Perimeter: _________Area: _________
4 in.
3 in
.70 in.300 in.2
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20 in.
15 i
n.
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Today’s To-Do List2.3.1 2-101 2-102 2-103
2.3.2 2-109 2-110 2-111
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7
2?
7
7
7
7
2
22
2
What shapes do you know how to find the area of?
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2-101Pink Slip
TSW: Linguini.
TTW: Dynamic Geometry Tool.
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7
2?
TTW: Model Inequality Statement
1) Find Sum of Legs: _______
2) Find Difference of Legs: __
3) State Minimum & Maximum Lengths of Hypotenuse:
Min: ____ Max: ____
4) Create Inequality Statement:
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2-102Hot Potato:
1) Find Sum of Legs: _______
2) Find Difference of Legs: __
3) State Minimum & Maximum Lengths of Hypotenuse:
Min: ____ Max: ____
4) Create Inequality Statement: ______
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2-102
TSW: Write Inequality Statement on board
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2-103
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Today’s Objective:
Lesson 2.3.2 -- Mathematical Product:
SWBAT:* Develop & prove the Pythagorean Theorem
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2-109
2-110a TTW: Show Dynamic Geometry Tool
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2-110 b
8 min.
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2-111
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2-111 b.
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y
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IVIII
II2-111cA
CH
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9/17/13 Tue
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y
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IIA
CB
Boot-Up 9.16.13 / 6 min.
What is the length of line AC? Use my Theorem to find out.
5
889
9.4
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Today’s Objective:
Chapter 2 Wrap-Up -- Mathematical Product:
SWBAT:* Reflect on & prove what they have learned to-date. (Includes both Chapters 1 & 2 content.)
What have I
learned?
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2) Making Connections -- Concept Map
3) Portfolio 4) What have I learned?
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9/18/13 Wed
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9/19/13 Thu
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y
x
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IVIII
IIA
CB
Boot-Up 9.19.13 / 6 min.
A’
B’C’
(2,6)
(2,-2) (7,-2)
(-2,6)
(-2, -2)(-7, -2)
1) Reflect ABC across the y-axis.
2) What will the coordinates of the image be?
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TSW: Read Intro p144 & 145
TTW: Pantograph TSW: Rubber bands
Whole Class:
Some of you used 2 rubber bands. What did you notice?
Some of you used 3 rubber bands. What did you notice?
What would change if we used 4 or 5 rubber bands?
What if you wanted to shrink a figure? Could this process be used for that too?
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3-4
8 min.
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9/20/13 Fri
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4. What are the coordinates of the dilation image of triangle ABC with a scale factor of 2?A A‘ (-4, -4), B‘ (2, -2), C‘ ( 0, 4)B A‘ ( 0, 4), B‘ (2, -2), C‘ (-4, -4)C A‘ (-4, -2), B‘ (3, -1), C‘ ( 0, 4)D A‘ (-2, -4), B‘ (1, -3), C‘ ( 0, 0)
34 Mastering the MCT2, Grade 6
Students work in pairs to solve the following:
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A:
B:
C:
(-6, -6)
Dilate the triangle shown from the origin by a scale factor of 2. What are the coordinates of the image?
A B
C
( 4, -4)
( 0, 6)
(-3, -3)
( 2, -2)
( 0, 3)
Boot-Up 9.20.13 / 6 min.
A’:
B’:
C’: A’B’
C’
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From: Rhonda GuiceSent: Friday, September 20, 2013 7:47 AMTo: Lake Cormorant HighSubject: Outside Drinks in School Teachers,No outside drinks are allowed in school. Students do not need to be eating and drinking in class. We have had two students over the past week bring alcohol into school in drink bottles so for the safety of all students no drinks need to be out during class time.Thank you for your help with this matter.RG
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Hello Mrs. Chandler and Mr. Mahlmann, I enjoyed seeing you both last week. I hope your week is going great. I just wanted to give you two a heads up. Two of our school board members would like to observe CPM classrooms in the Lake Cormorant area on Monday. They will be visiting both the middle school and the high school. I would like for them to see how both of you are teaching the new curriculum. I think all of the teachers at LC do an awesome job. I just really enjoyed how you two were great at managing, circulating, and closing. I just want to give you a heads up so that you would not have a test planned. They are both very supportive of the new textbook and curriculum. Michelle and I are coming up with a schedule for Monday. I will email you and let you know when we are coming.Thanks for all you do for our students.Chereda Daugherty High School Math Specialist Desoto County Schools
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Similar (~): Figures that are the same shape but not necessarily the same size.
x°
x° y°
x°
x° y°
Honey, I shrunk the Polygons! (They still
look the same, though.)
~ ~
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TTW:
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TSW:
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49. Triangle PQR has been dilated to create triangle P′Q′R′.
Based on the figure at right, which of the following statements is true?
MCT2, Grade 6, 3e
RELEASED 2008- TEST 1
CHALLENGE QUESTION!!!
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4. What are the coordinates of the dilation image of triangle ABC with a scale factor of 2?A A‘ (-4, -4), B‘ (2, -2), C‘ ( 0, 4)B A‘ ( 0, 4), B‘ (2, -2), C‘ (-4, -4)C A‘ (-4, -2), B‘ (3, -1), C‘ ( 0, 4)D A‘ (-2, -4), B‘ (1, -3), C‘ ( 0, 0)
34 Mastering the MCT2, Grade 6
Students work in pairs to solve the following:
DO NOW 2/16/116B Start here Wed 2/16
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Released 2009 MCT2, Grade 6, Test 2; 3e
28. The following diagram shows the image and pre-image in a 200% dilation.
4) Identify corresponding parts (sides & angles) of similar polygons
Corresponding angles of similar figures are Congruent!
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50. Lubresha performed a 50% dilation on figure KLMN as shown below.
MCT 2 – Grade 6, Test 3, 3e
What is the relationship between the length of K'L' and KL?F. The length of K'L' is half the
length of KL.G. The length of K'L' is twice the
length of KL.H. The length of K'L' is the same
as the length of KL.J. The length of K'L' cannot be
compared to the length of KL.
Released 2010
4) Identify corresponding parts (sides & angles) of similar polygons
Corresponding sides of similar figures are proportional!
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30. Look at the figure below.
MCT 2 – Grade 6, Test 3, 3e
Which statement about the figure is not true?
F. A’B’C’D’E’ is increased to ABCDE by a scale factor of 200%.
G. ABCDE is a reduction of A’B’C’D’E’ by a scale factor of .
H. O'B’ is twice OB, and E 'D’ is twice ED.
J. AB is a reduction of A’B’ by a scale factor 50%.
Released 2010
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16”
x”9”
3”
The triangles show below are similar figures. What is the length of “x”?
An 8 inch by 10 inch photo is enlarged to produce a inch by 24 by 30 inch photo.What scale factor was used to make the enlargement?A. 2 B.
3C. 8 D.
10
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Exit Ticket: SWBAT correctly answer the following problem by the end of today’s
lesson:
This will be collected & graded as classwork. Put on a separate sheet with heading: Name, Date, Exit Slip: Scale Factors. SHOW ALL WORK! If you do not show step-by-step work as taught today, you will not get credit.
If BD = 6, DA = 2, and BC = 15, which proportion would you use to find BE?A 4 inch by 5 inch photo is
enlarged to produce a 16 inch by 20 inch photo.What scale factor was used to make the enlargement?
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3/1/13 DO
NO
W
A photo measuring 5 inches in width by 4 inches in length is enlarged to produce a photo with a length of 16 inches.1) What is the width of
the enlargement?2) What scale factor
was used to make the enlargement?
PUT YOUR HOMEWORK ON YOUR DESK
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Original (Pre-Image)
Copy (Image)
Width
Length
Scale Factor: Image: 16 Pre-Image: 4
4=
w5
4 16
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45. Manuel baked a cake. He used 0.75 cup of frosting and 0.5 cup of sugar. How should Manuel write these decimals as fractions? A. 75/100 and 5/10 B. 75/10 and 5/10 C. 75/100 and 5/100 D. 75/10 and 5/100
MCT2, Grade 6, Test 2; 1f
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A regular triangle with 5-inch sides undergoes a dilation with scale factor 2.5. What are the side lengths of the image triangle?A. 7.5 in. B. 12.5 in.C. 17.5 in. D. 20 in.
IND is the image of MRE under adilation. What is the scale factor of thedilation?
SWBAT: 1) Determine the scale factor of a given proportion.
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3e. Dilations
Explain the relationships between corresponding parts of the pre-image and
image of a dilation. (DOK 2)
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48. XYZ is shown below.
MCT 2 – Grade 6, Test 3, 3e
If the coordinates of Z’ are (3, 1), which statement describes the transformation of point Z?
F. Point Z was translated 2 units to the right and 3 units down.
G. Point Z was translated 3 units to the right and 2 units down.
H. Point Z was translated 2 units to the left and 3 units up.
J. Point Z was translated 3 units to the left and 2 units up.Released 2010
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Exit Ticket: SWBAT correctly answer the following problem by the end of today’s
lesson:
This will be collected & graded as classwork. Put on a separate sheet with heading: Name, Date, Exit Slip: Scale Factors. SHOW ALL WORK! If you do not show step-by-step work as taught today, you will not get credit.
If BD = 6, BA = 8, and BC = 15, which proportion would you use to find BE?A 4 inch by 5 inch photo is
enlarged to produce a 16 inch by 20 inch photo.What scale factor was used to make the enlargement?
8
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Exit Ticket: SWBAT correctly answer the following problem by the end of today’s
lesson:
This will be collected & graded as classwork. Put on a separate sheet with heading: Name, Date, Exit Slip: Scale Factors. SHOW ALL WORK! If you do not show step-by-step work as taught today, you will not get credit.
If BD = 6, DA = 2, and BC = 15, which proportion would you use to find BE?A 4 inch by 5 inch photo is
enlarged to produce a 16 inch by 20 inch photo.What scale factor was used to make the enlargement?
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9/20/13 Fri
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Resource Manager: Make sure to get all of the supplies & call the teacher over, if needed. Take shape inventory at beginning & end. Make sure all shapes are returned to bucket.
Facilitator: Make sure that everyone can participate & that no one dominates the process.
Recorder/Reporter: Make sure that everyone can reach & see the Venn diagram & the shapes. Record shape placements / present findings at end of lesson.
Task Manager: Make sure each team member justifies statements & decisions.
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y
x
I
IVIII
II
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UN # __________Name __________ 8/29/13 Test # 1
11)
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8/30/13 Thu
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y
x
I
IVIII
IIA B
D C
Translate (Slide) rectangle ABCD so that point A is at the origin.
Tell me -- do I really look like a “Leonard” to you?
A B
D C