Do Now Where did you attend to precision in yesterday’s lesson? Math Practice 6: Attend to precision 1.

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Presentation transcript:

Do Now Where did you attend to precision in yesterday’s lesson? Math Practice 6: Attend to precision 1

Placemat 2 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. 3

Language Language Objective  In rigid motions the pre-image and image are congruent.  Rigid motions preserve side and angle measures. 4

Which of the following items are “rigid”? 5

rigid motion Describe a rigid motion. 6

Quadrants You will be assigned tasks based on your seat in your group of 4. 7

Mystery Transformations Set up your axes: -6 < x < 8 -7 < y< 6 8

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. 9 xy

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. 10 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? 11

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? 12

Transformation Notation Function Notation 13

Mystery Transformations Set up your axes: -8 < x < < y<15 14

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) 15 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? 16 Peer Assessment: You should have 1 congruent and 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. 17

Language Highlight these words in your notes from yesterday and today. Describe any words you don’t know in the skinny column. 18

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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 ☐ rotation 20