Rotations

​THE CLASS WILL START IN...

WE MADE IT TO FRIDAY, everybody!
I appreciate you for patiently and silently staying on the waiting area...
- Mr. Antipolo

Fill in the Blanks

Do you know her from Inside Out movie? What's her name?

Open Ended

Do you think her name matches her emotion projected in the given picture? What do you think causes that emotion?

for today:

The TOP 1-3 will receive TWO (2) BUCKS EACH.
The TOP 4-10 will receive ONE (1) BUCK each.
IF ALL OF YOUR KINGDOM MEMBERS MADE IT TO TOP 10, EACH WILL BE GIVEN EXTRA ONE (1) BUCK.
CLASSROOM STORE WILL BE OPENED BASED ON "PLEASANT BEHAVIOR OF YOUR KINGDOM MEMBERS".
OTHERWISE, YOUR KINGDOM IS NOT LEGIBLE FOR THE STORE.

Multiple Choice

How much will be given to the TOP 1-3 placers today?

• 5 jolly ranchers

• 2 bucks

• 1 buck

• 3 bucks

Multiple Choice

How much will be given to the TOP 4-10 placers today?

• 5 jolly ranchers

• 2 bucks

• 1 buck

• 3 bucks

Multiple Choice

How much extra will be given to each of the kingdom members, if they all made it to TOP 1-10?

• 5 jolly ranchers

• 2 bucks

• 1 buck

• 3 bucks

Multiple Choice

FOR YOUR KINGDOM TO BE ABLE TO PARTICIPATE IN THE CLASSROOM STORE, you should be to adhere to which of the following?

• Pleasant Behavior of the Kingdom Members

• Completion of Work

• Participation of all Members

• Pleasant Conversation of the Kingdom Members

CHALLENGE #1: COMPLETING FIGURES
Parallel Lines = 5 figures
Intersecting Figures = 4 figures
Translating Figures = 6 figures
Reflecting Figures = 6 figures
Rotating Figures = 6 figures
Dilating Figures = 6 figures

CHALLENGE #2: MAKE IT TO TOP 10
THE HIGHEST NUMBER OF MEMBERS IN A KINGDOM WHO MADE IT TO THE TOP 10 LIST WILL MAKE THAT KINGDOM WIN THE CHALLENGE.

LET'S HAVE A QUICK
LESSON REVIEW!

Hotspot

If you are going to reflect the following figure over the y-axis, where should you place the image of point B?

CLICK the right point!

Hotspot

If you are going to reflect the following figure over the y-axis, where should you place the image of point A?

CLICK the right point!

Hotspot

If you are going to reflect the following figure over the y-axis, where should you place the image of point C?

CLICK the right point!

Draw

Reflecting the following figure over the y-axis.

Be careful of the right positions of the points, segments, and angles.

DO NOT FORGET TO LABEL THE IMAGES with the prime ( ' ) symbol.

Open Ended

What do you think happened to the lengths of the segments and the measures of the angles of the triangle after being reflected over the y-axis?

Multiple Select

Choose all the properties of a reflection.

• A line maps to a line. A ray maps to a ray. A segment maps to a segment. An angle maps to an angle.

• The size and shape of the figure become different.

• It preserves the measures of the segments.

• It preserves the measures of the angles.

Multiple Choice

The following are properties of reflection EXCEPT FOR:

• A reflection maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

• A reflection preserves lengths of segments.

• A reflection preserves degrees of angles.

• A reflection preserves the orientation of the object.

Multiple Select

Select the properties of a reflection. Choose all that apply.

• A reflection maps a line to a line.

• A reflection maps a ray to a ray.

• A reflection maps an angle to an angle.

• A reflection maps a segment to a segment.

Fill in the Blanks

A reflection maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle. It changes the orientation of the figured being reflected over a line of reflection. The line of reflection is sometimes called as "axis of symmetry".

What is the other name of line of reflection?

Fill in the Blanks

Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point. Rotation can have a sign (as in the sign of an angle): a clockwise rotation is a negative magnitude so a counterclockwise turn has a positive magnitude. This is a test to see if you are really reading a given information or not at all. Now, I want you to type the word "rotations" in the boxes below.

Poll

Click on the emoji that best describes how you feel about these vocabularies.

NOW, LET'S FINALLY MOVE TO INDIVIDUAL TASK

Multiple Choice

7 + (-13)

• -6

• 6

• -20

• 20

Multiple Choice

-4 - 16

• -20

• 20

• -12

• 12

Multiple Choice

-5 x 9

• -45

• 45

• 4

• yellow

Multiple Choice

-9 + (-9)

• 0

• 18

• -18

Multiple Choice

-6 - (-8)

• -2

• 2

• -14

• 14

Multiple Choice

-6 x (-12)

• -72

• 72

• 2

• -2

Multiple Choice

3 + (-6) =

• -3

• 3

• -18

• 18

NOW, LET'S FINALLY MOVE TO ROTATIONS

Please watch the next video for you to know how to answer the questions.

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Multiple Choice

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Multiple Choice

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)

Multiple Choice

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°
• 180°
• 270°
• 360°

Multiple Choice

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Multiple Choice

The image A'B'C' is a rotation of ABC.

• True
• False

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Multiple Choice

Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Multiple Choice

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Multiple Choice

When a coordinate goes to (-x, -y) it is a 

• 180 degree rotation
• a 90 degree clockwise rotation
• a 90 degree counterclockwise rotation
• A 360 degree rotation

Multiple Choice

What is the definition of rotation?

• To move up, down, left, or right.
• To flip.
• To make a circular movement around a point.
• To mirror.

Multiple Choice

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 
• (x,y)→(x,y)
• (x,y)→(-y,x)
• (x,y)→(-x,-y)

Multiple Choice

Triangle D is rotated 360° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(-y,x)
• (x,y)→(-x,-y)
• (x,y)→(y, -x) 
• (x,y)→(x,y)

Multiple Choice

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 
• (x,y)→(x,y)
• (x,y)→(-x,-y)
• (x,y)→(-y,x)

Multiple Choice

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

• (5,-5)
• (5,5)
• (-5,5)
• (-5,-5)

Multiple Select

The best part about this Quiz?

• Using Notes

• Cheating off your neighbor

• What?! This is a quiz??

• Thank you snow for making this a short week.