do now where did you attend to precision in yesterday’s lesson? math practice 6: attend to...
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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