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Do Now

Where did you attend to precision in yesterday’s lesson?

Math Practice 6: Attend to precision

Placemat

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• Mark symbols on diagrams.• Corresponding pairs of sides and angles.• Congruence.• Maps onto.• Rotations.• Translation Notations.

Targets

I can perform transformations in the coordinate plane.

Use and understand mapping notation

(x, y) → (x − 6, y − 5)

I can explain congruence in terms of rigid motions.

Rigid motions preserve side and angle measures.

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Language

Language Objective In rigid motions the

pre-image and image are congruent.

Rigid motions preserve side and angle measures.

Word Wall congruent rigid motion sides angles maps onto transformation

notation pythagorean theorem

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Which of the following items are “rigid”?

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rigid motion

• Describe a rigid motion.

Quadrants

You will be assigned tasks based on your seat in your group of 4.

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Mystery Transformations

Set up your axes:

-6 < x < 8

-7 < y< 6

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Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (x + 2, y – 7)

II. (x, y) (3 – x, y)

III. (x, y) (-x, y)

IV. (x, y) (x – 5 , y – 6)

You may use a table.

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x y1 12 43 2

Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (x + 2, y – 7)

II. (x, y) (3 – x, y)

III. (x, y) (-x, y)

IV. (x, y) (x – 5 , y – 6)

Describe the resulting

transformation in detail.

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Peer Assessment:You should have on 2 types of transformations.

Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (x + 2, y – 7)

II. (x, y) (3 – x, y)

III. (x, y) (-x, y)

IV. (x, y) (x – 5 , y – 6)

Are the images congruent to the pre-image?

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Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (x + 2, y – 7)

II. (x, y) (3 – x, y)

III. (x, y) (-x, y)

IV. (x, y) (x – 5 , y – 6)

Use patty paper to determine if angles and sides are congruent. Mark congruent sides. Mark congruent angles.

Are the images congruent to the pre-image?

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Formative Assessment

Transformation Notation

Function Notation

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Mystery Transformations

Set up your axes:

-8 < x < 10

-10 < y<15

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Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (-2x, y)

II. (x, y) (-y, x)

III. (x, y) (3x, 3y)

IV. (x, y) (-2x, -2y)

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Describe the resulting

transformation in detail.

Mystery Transformations

Pre-image A(1, 1) B(2, 4) & C(3, 2)

I. (x, y) (-2x, y)

II. (x, y) (-y, x)

III. (x, y) (3x, 3y)

IV. (x, y) (-2x, -2y)

Are the images congruent to the pre-image?

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Peer Assessment:You should have 1 congruentand 2 similar triangles.

Targets

I can perform transformations in the coordinate plane.

Use and understand mapping notation

(x, y) → (x − 6, y − 5)

I can explain congruence in terms of rigid motions.

Rigid motions preserve side and angle measures.

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Language

Highlight these words in your notes from yesterday and today.

Describe any words you don’t know in the skinny column.

Word Wall congruent similar sides angles congruent triangles transformation

notation

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Ticket Out

What kind of transformation is made by

(x, y) (x + 3, y – 2)

Check all boxes that apply

The transformation is

☐ congruent

☐ translation

☐ reflection

☐ rotation20