today’s objective lesson 4.1 students will be able to translate … · 2020. 5. 8. · today’s...

Today’s Objective

Students will be able to translate (slide) shapes.

Lesson 4.1

Tuesday July 14, 2020 Activator How could you get away from the Pink Ghost?

(3 Left, 6 up)

A slide (move) will be called a Translate.

𝑇( −3 , 6 )

What is a translation in Geometry? It is a slide.

Today’s New Vocab (1 of 4)

What is the name of thePre-Image(Original) Shape?

What is the name of theImage (New) Shape?

∆𝐴𝐵𝐶

∆𝐴′𝐵′𝐶′The Prime (Apostrophe’) means moved.

Today’s New Vocab (2 of 4)Translate rectangle ABCD.What is the translation? 𝑇(9,4)

Y

x

A is taken to A’

B maps to B’

C’ is the image of C <BCD maps to <B’C’D’

DA is taken to D’A’

Today’s New Vocab (3 of 4)Translate ∆𝐴𝐵𝐶 𝑠𝑜 𝑡ℎ𝑎𝑡 𝐴′𝑖𝑠 𝑎𝑡 2,4

Write thetranslation?

𝑇(6,0)

Describe the Translation.

Slide 6 right, then Slide 0 up

Draw New Triangle ∆𝐴′𝐵′𝐶′

Today’s New Vocab (4 of 4)Translate ∆𝐴𝐵𝐶 𝑠𝑜 𝑡ℎ𝑎𝑡 𝐵′𝑖𝑠 𝑎𝑡 −4,−1

Write thetranslation?

𝑇(−3,−2)

Describe the Translation.

Slide 3 left, Then Slide 2 down

Draw New Triangle ∆𝐴′𝐵′𝐶′

B’

Tuesday July 14, 2020 Work Period

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Describe the translation.Slide 3 right and 4 down What is the Image of given point A? What is A’?

+3 -4(-5+3, 2-4)

(-2, -2)

(-2, -2)(-2, -2)

Tuesday July 14, 2020 Exit Ticket

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Determine the translation. What is B and D’ ?

𝑇(1,−3)

D’ is (-5, -4)

B is (-6, 4)

Today’s Objective

Students will be able to rotate shape 90, 180, and/or 270 degrees.

Lesson 4.3

Wednesday July 15, 2020 Activator Do these two rotations result in the same image? YES Can you name another two rotations? YES, 180 and 180

Progress report grades are on

the wall.

Green Purple Pre-Image Image

Today’s New Vocab (1 of 4)Rotate any point 90 and 180 degrees clockwise

the point (1, 5)90 clockwise (5, -1)

180 clockwise (-1, -5)

Rule (y, -x) Switch (5, 1)

(-1, 5)Switch

Change the new y or old x

Change

Change

Today’s New Vocab (2 of 4)Rotate the figure 90 degrees clockwise

Clockwise rule (y, -x)

E ( -4, 8)H (-2, 5)G (-4, 3)F ( -7, 5)

E’ ( 8, 4)H’ (5, 2)G’ (3, 4)F’ ( 5, 7)

E’

H’G’

F’

Today’s New Vocab (3 of 4)Rotate 90 degrees counter-clockwise

K (-2, 5) (5, 2)(2, -5)

K’(-5, -2)

L (1, 1) (1,-1)(-1,-1)

L’ (-1, 1)

Convert the turn to clockwise

M (-3, 1) (1, 3) (3, -1)

M’ (-1, -3)

Switch then change

L’

M’K’

Today’s New Vocab (4 of 4)A translation of𝑇(0,0) maps “ onto ”

The same reflectiontwice lands “ onto ”

Two rotations of 180 lies “ onto ”

Wednesday July 15, 2020 Work Period

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R (-2, 3)S (4, 4)T (2, -2)

R’ (3, 2)S’ (4,-4)T’ (-2,-2)

(3,-2)(4, 4)(-2,2)

Pre-Image ImageSwitch

Change

RS

T

R’

S’T’

Wednesday July 15, 2020 Exit Ticket

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𝑅270 𝑖𝑠 𝑎 Rotation 270 degrees counter-clockwise

𝑅270 = 𝑅−90

Counter-clockwise and clockwise

Positive Numbers Negative

B

C

B’ (1,-5)

C’ (-2,3)C’

B’

Today’s Objective

Students will be able to solve problems with isosceles triangles

and triangle sum.

Lesson 4.4

Thursday July 16, 2020 Activator If one base angle is 70, what isthe measure of the vertex angle?

70 + 70 + x = 180

140 + x = 180

-140 -140x = 40

Today’s New Vocab (1 of 4)

65

2525

65

AD is the Line of ReflectionAD is Perpendicular ( ) to BC

What is m<DAC? 25 What is m<CDA? 90What is m<BAD? 25What is m<BDA? 90

Today’s New Vocab (2 of 4)What is the measure of <E ?

E

20 + 20 + <E = 180

40 + <E = 180-40 -40

<E = 140

Today’s New Vocab (3 of 4)Given: Trapezoid ABCD contains 4 isosceles triangles.

What is the measure of <CED ?

E

25 + 25 + x = 18050 + x = 180-50 -50

x = 130

Today’s New Vocab (4 of 4)

What is the measure of <C? 30 + 90 + <C = 180

120 + <C = 180-120 -120

<C = 60

AD is a perpendicular angle bisector and <BAC is 60.

Thursday July 16, 2020 Work Period

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Determine the value of angle <BCD in the picture.

<A + <ACB + <B = 180x + x + 80 = 180

2x + 80 = 180

2x = 100

x = 50

50 + <BCD = 180

<BCD = 130÷ 2 ÷ 2

− 80 − 80

− 50 − 50

Thursday July 16, 2020 Exit Ticket

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My house roof is in the shape of an isosceles

triangle. The vertex angle formed at the peak of the

roof is 104°. What is the measure of the base angles?

104 + x + x = 180104 + 2x = 180

2x = 76

x = 38

-104 -104

÷ 2 ÷ 2

Today’s Objective

Students will be able to reflect shapes over the x and y axes.

Lesson 4.5

Thursday July 16, 2020 Activator What is point A (2, 6)

reflected over the x-axis?

What is point A (2, 6)reflected over the y-axis?

A’( 2, -6)x doesn’t change.

A’’( -2, 6)y doesn’t change.

A’’

A’

Today’s New Vocab (1 of 3)Translate AB 𝑇(0,2)

A’( -3 , 0 ) B’( 1 , 0 )

Translate CD 𝑇(1,0)C’( 4, 1 ) D’( 4 , -4 )

A’ B’

Today’s New Vocab (2 of 3)Rotate AB 90 clockwise

A’( 2 , 3) B’( 2 , -1)

A (-3, 2) B (1,2)

Switch (2, -3) Switch (2, 1)

Switch then change

A’

B’

Today’s New Vocab (3 of 3)Reflect AB over x-axis

Reflect CD over y-axis

A’( -3 , -2 ) B’( 1 , -2 )

C’( -3 , 1 ) D’( -3 , -4 )

C’

D’

Thursday July 16, 2020 Work Period

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A’ ( 1 , 1 )

B’ ( 3, -1 )

C’ ( 1 , -4 )

𝑅(−90)

Rotation? Yes

Thursday July 16, 2020 Exit Ticket

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A’ ( -2 , -1 )

B’ ( 0 , 1 )

C’ ( 3 , -1 )

𝑇(−1,−2)

Translation? Yes

Today’s Objective Students will be able to do the study guide for the Unit 4 Test.

Review Unit 4

Monday July 20, 2020 Activator

Review Day Unit 2

Today’s New Vocab (1 of 4)#6

Today’s New Vocab (2 of 4)#10

Today’s New Vocab (3 of 4)#13

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#12Today’s New Vocab (4 of 4)