Translations Lesson, TEKS 8.10C(R)

​Do your Warm-Up!

What is our TEKS?

TEKS 8.10C:

The student will explain the effect of translations as applied to two‐dimensional shapes on a coordinate plane using an algebraic representation.

Translations, TEKS 8.10C (R)

It's time for our lesson . . .

​Translations

You can take notes in your journal or lined paper, but be sure to pay attention to the video on the next slide.

Open Ended

What is one thing that you learned from the video?

Multiple Choice

What does a translation do to a figure on the coordinate plane?

• Rotates it

• Flips it

• Shrinks it

• Slides it

Translations:

• Translations involve addition and subtraction.

• Adding to the x-axis moves figures to the right, whereas subtracting will move figures left.

• Adding to the y-axis moves figures up, while subtracting will move figures down.

Multiple Choice

When you translate, you ___________________ a number to x and y.

• Add or subtract

• Multiply or divide

• Add or multiply

• Subtract or divide

Multiple Choice

What does this transformation say to do? (x, y) -----> (x, y + 4) 

• slide down 4

• slide up 4

• slide right 4

• slide left 4

Translations:

• Identify the pre-image and the image.

• Point A is located at (-2, 3)

• Point A' is located at (4, 1)

• Point A was translated 6 units to the right and 2 units down.

• ( x + 6, y - 2)

Pay attention as you work through the problems with the teacher.

Time for Guided Practice . . .

Translations, TEKS 8.10C (R)

Multiple Choice

Write the rule for this translation:

Slide 5 up and 7 right

• (x, y)---->(x + 5, y + 7)

• (x, y)-----> (x + 7, y + 5)

• (x, y)----> (x - 7, y + 5)

Multiple Choice

I DO:

Determine how to translate triangle ABC to triangle A'B'C' ?

• (x + 2, y - 5)

• (x + 2, y - 9)

• (x - 2, y - 9)

• (x - 2, y + 9)

Multiple Choice

WE DO:

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• (x, y) --> (x + 5, y + 8)

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

Multiple Choice

YOU DO:

Write a rule for the translation.

•  (x - 1, y + 2)

•  (x - 2, y + 1)

•  (x + 2, y - 1)

• (x + , y - 2)

​​Use your journal, lined paper, or dry erase board to practice solving the Quizizz problems on your own. Do as many problems as you can until the timer rings.

Time for Independent Practice . . .

Translations, TEKS 8.10C (R)

Multiple Choice

The original figure prior to a transformation is called...

• Pre-image

• Image

Multiple Choice

When translating up or down on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

Multiple Choice

When translating left or right on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

Multiple Choice

Translations are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Multiple Choice

Translate the pink shape to the blue shape...

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Multiple Choice

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down

• Translate 3 units down and 2 units to the right

• Translate 4 units down and 4 units to the left

• Translate 8 units to the right and 2 units down

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

Multiple Choice

Write the rule for this translation:
Slide 3 up and 2 right

• (x, y)----> (x + 3, y + 2)

• (x, y)----> (x + 2, y + 3)

• (x, y)----> (x - 2, y + 3)

Multiple Choice

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

• (x, y) -->

  (x - 9, y + 3)

• (x, y) -->

  (x + 9, y - 3)

• (x, y) -->

  (x + 3, y - 9)

• (x, y) -->

  (9x, 3y)

Multiple Choice

What is the algebraic representation of a figure is Translated 6 units right and 5 units up?

• (x, y) --> (x - 6, y + 5)

• (x, y) --> (x + 6, y + 5)

• (x, y) --> (x + 5, y - 6)

• (x, y) --> (6x, 5y)

Multiple Choice

What is the algebraic representation of a figure is Translated 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)

• (x, y) --> (x + 2, y + 5)

• (x, y) --> (x + 5, y - 2)

• (x, y) --> (5x, 2y)

Time for your Mastery Check:

It's time to assess your skills using a STAAR-related problem. Carefully select your answer to the next problem to test your knowledge. You will use this for your Self-Assessment.

Translations, TEKS 8.10C (R)

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

Poll

Self-Assessment:

• I'm an expert. I got this! (I can teach this skill to others.)

• I'm a Practitioner. I can do this with more practice. (I can re-do this lesson through Google Classroom.)

• I'm a Novice. I need help learning this skill! (I can come to tutoring to get the help I need, or I can ask an Expert for help.)