9/30/13 Mon

 If BD = 6, DA = 2, & BC = 15, what is the length of side x?

Boot-Up 9.30.13 / 6 min.

 

Boot-Up 9.30.13 / 6 min.

6 x

156

2

0

10

20

30

40

50

60

70

80

90

100

79.6

7480 82

72

90

Block 1 Test Performance: Class Averages / Term 1

1st Time 2nd Time

0

10

20

30

40

50

60

70

80

90

100

78.2

70

7882

72

89

Block 2 Test Performance: Class Averages / Term 1

1st Time 2nd Time

Find Problem 3-72

Today’s To-Do List: 3-72 3-82 3-73 3-83

3-86

3-72

3-73

Find Lesson 3.2.4

3-82a T-P-S

Is SS a valid similarity condition?

7 14 =

4 8

5 9

No!!! SS is NOT a valid similarity condition!

3-82b T-P-SIs ASA a valid similarity condition?

Yes!!! It’s the same as AA. You don’t even need to know the side lengths if you know 2 s are . The side information is redundant. (More than you need.)

AA Triangle Similarity (AA):When 2 pairs of corresponding s are , the 2 s must be . If 2 pairs of s are , the 3rd pair must also be .

Is SSS a valid similarity condition? 3-84 - Linguini

SSS Triangle Similarity (SSS):When 3 pairs of corresponding sides are proportional, then the s must be , an the 2 s must be .

YES IT IS!

Are 2 s with the same 3 side lengths always ? 3-85 a

YES!

3-86Is SSA a valid similarity condition?

As you can see, even though side BC = BD , this side length is able to swivel such that 2 non-congruent s are created even though they have 2 sides and a , non-included . (SSA)

ABC ABDThe 2 s are NOT congruent 3-86

3-87

8 min.

What are the 3 similarity conditions we proved / studied?

What are the 3 similarity conditions we proved / studied?

1) AA 2) SAS 3) SSS

3 4

6 8

AA Triangle Similarity (AA):When 2 pairs of corresponding s are , the 2 s must be . If 2 pairs of s are , the 3rd pair must also be .

M&M

SAS Triangle Similarity (SAS):When 2 pairs of corresponding sides are proportional, & the s between those sides are , then the other correspondings must also be , & the remaining pair of sides must be proportional.

3 46 8

SSS Triangle Similarity (SSS):When 3 pairs of corresponding sides are proportional, then the s must be , an the 2 s must be .

Lesson 3.2.4pgs 187 – 188#s 3-88 – 3-93

10/2/13 Wed

 

Boot-Up 10.2.13 / 6 min.Using the diagram at

right, determine the following values:

1) x = ______

2) y = ______

y

x

3.5

 

Boot-Up 10.2.13 / 6 min.

y

x

3.5

3-94

a) What similarity condition should Lynn use to prove the 2 s are similar?

b) Make a flow chart showing these 2 s are similar.

3-60

Facts

ConclusionSimilarity Condition

3-94

3 6 =

8 16 =

ABC KLM

B K 1 2

1 2

3-95

3-95

A K C L

ABC JKL

54

36

AA

What’s wrong with this Flow Chart?

3-95

3 3 = 1 5

5 = 1

DEF MNP

SAS

M E

What’s wrong with this Flow Chart?

3-95

6 3 = 2 6

3 = 2 4 2 = 2

QRS GHISSS

What’s wrong with this Flow Chart?

3-96a

3 3 = 1 5

5 = 1

DEF NMP

SAS

M E

What’s wrong with this Flow Chart?

54

36

3-96b

3 cm

4 cm 12 cm

ABC KJL

AA

?

?

?

3-97a, b, c & d

SAS

8.4 4.2

= 2

RUN CAT

R C 16.4 8.2 = 2

? ? ?

?

Lesson 3.2.5pgs 192 – 193#s 3-99 – 3-104

10/3/13 Thu

Boot-Up 10.3.13 / 6 min.

The shapes at right are . Determine the following values:

1) w = ______

2) y = ______

y

w

Boot-Up 10.3.13 / 6 min.

y

w

3-105

200 cm

“Vici

tim’s

Eye-

Heig

ht

Your

Eye

-Hei

ght

d

3-106

h4’12’

942’

3-107

Chapter 3 Closure

Today’s To-Do List:

Review Chapter 3 Studies / Prep for End-Unit Test

10/4/13 Fri

Boot-Up 10.4.13 / 6 min.

The shapes below are . Determine the following values: z = ______ y = ______

z y

1) You may refer to your Notes, but not your Textbook.2) You may use a calculator, but you MUST SHOW ALL WORK for

full credit. You will not pass the test if all you show is the final answer.

3) You may not speak or make any other type of noise during test.4) You must keep your eyes on your own papers.5) If you finish early, raise your hand silently & teacher will give you

assignment.6) Failure to follow these instructions will result in a failure on the test.

Good luck!

0

10

20

30

40

50

60

70

80

90

100

79.5

7480 82

72

91

78

Block 1 Test Performance: Class Averages / Term 1

1st Time 2nd Time

0

10

20

30

40

50

60

70

80

90

100

77.6666666666667

70

7882

72

89

75

Block 2 Test Performance: Class Averages / Term 1

1st Time 2nd Time

Chapter 3 Test

Today’s To-Do List:

Chapter 3 End-Unit Test

Which statement is true about ABC and JKL? A) The triangles are congruent.B) The triangles are similar.C) The ratio of the lengths

of corresponding sides is not constant.

D) Corresponding angles are not congruent.

Mastering the MCT2, Grade 6, p11,3c, P

3 mins1/30/13 DO NOW

Released 2009MCT2, Grade 6, Test 2; 4d

Which proportion could be used to determine the length of side x?

52. The following diagram shows a dilation.

a’

a

b’b

12

6

8 x

TTW Lead-in to Exit Ticket:

10

12

x

18A) C)

B) D)

The following diagram shows a dilation.Which proportion can be used to find the value of side x?

6 2

5

15

Draw a dilation of a figure using a Scale Factor of 3.

Draw a dilation of a figure using a Scale Factor of 1/2.

6 3

14

7

My Turn:What is the Scale factor to go from the smaller figure to the larger figure?

4 123

9

3 122

8

Your Turn:What is the Scale factor to go from the smaller figure to the larger figure?

4 123

9

My Turn:What is the Scale factor to go from the Larger figure to the smaller figure?

3 122

8

My Turn:What is the Scale factor to go from the Larger figure to the smaller figure?

An original photograph of Kimberly is 3.5 inches wide by 5 inches long.She wants to get an enlargement measuring 28 inches wide by 40 long.What is the scale factor of the enlargement?A. 3.5 B. 5 C. 8 D. 28

Released 2009MCT2, Grade 6, Test 2; 4d

The following diagram shows a dilation.What is the scale factor to go from:

1) the smaller figure to the larger figure?

a’a

b’b

2) the larger figure to the smaller figure?

TTW:

TSW:

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!!!

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

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!

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!

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

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

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?

Original (Pre-Image)

Copy (Image)

Width

Length

Scale Factor: Image: 16 Pre-Image: 4

4=

w5

4 16

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 

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.

3e. Dilations

Explain the relationships between corresponding parts of the pre-image and

image of a dilation. (DOK 2)

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

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

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?

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.

y

x

I

IVIII

II

UN # __________Name __________ 8/29/13 Test # 1

11)

8/30/13 Thu

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