CHAPTER #2 | TRANSFORMATIONS by Alexander Isaacs https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w Please use this resource list to review any material relating to CHAPTER #2 and TRANSFORMATIONS! en-us 2021-06-30 22:09:04 UTC 2023-05-31 21:13:22 UTC hello@padlet.com https://padlet.net/icons/png/0032-20e3.png mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335974 A transformation in which a figure slides but does not turn. Every point of the figure moves the same distance and in the same direction.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335974 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335975 A transformation in which a figure is turned about a point.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335975 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335976 AKA flip, is a transformation in which a figure is reflected on a line. A reflection creates a mirror image of the original figure. In the image above, a reflection across the x-axis is taking place.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335976 DILATION mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335977 A transformation in which a figure is made larger or smaller with respect to a point called the center of dilation. In a dilation, the angles of the image and original figure are congruent. This transformation is NOT a rigid motion.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335977 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335978 A transformation that preserves length and angle measure. Translations, reflections, and rotations are rigid motions.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335978 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335980 Two figures are similar when a similarity transformation can obtain one from the other. Similar figures have the same shape but not necessarily the same size. The above triangles are similar.]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335980 IXL mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335983 Visit IXL (use Clever) and work on the following recommendations:
• Find side lengths of similar figures
• Dilations: graph the image
• Dilations: find the scale factor
• Congruence statements and corresponding parts
]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335983 FORMATIVE mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335985 • Formative #4 | Translations
• Transformations & Congruent Figures]]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335985 Prodigy mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335986 WIZARD BATTLE! Visit Prodigy and play the game solo OR challenge a classmate! Click the above linked image and select 'Log in with: Google.']]> 2021-06-30 22:09:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1632335986 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664507910 Changes a figure into another figure. Examples of transformations include rotations, reflections, and translations.]]> 2021-07-30 01:13:59 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664507910 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664508778 The line a figure is flipped across. The line can be the x-axis or y-axis (or a combination of both).]]> 2021-07-30 01:15:05 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664508778 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664509338 A point about which a plane figure rotates.]]> 2021-07-30 01:15:45 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664509338 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664510920 Two figures are congruent when one can be obtained from the other by a sequence of rigid motions. The triangles above are congruent as all side lengths, and angle measures are equal.]]> 2021-07-30 01:17:44 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664510920 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664511522 Angles/sides with the same measure.]]> 2021-07-30 01:18:30 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664511522 CENTER OF DILATION mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664512329 A fixed point in the plane about which all points are expanded (made larger) or contracted (made smaller). The most common center of dilation is the origin located at point (0, 0).]]> 2021-07-30 01:19:26 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664512329 SCALE FACTOR mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664512838 The scale factor in the dilation of a figure determines how much larger or smaller the image will be (compared to the preimage). In the above example, the scale factor is 2 because both parts of each vertex's coordinates are multiplied by 2.]]> 2021-07-30 01:20:02 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664512838 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664513184 A dilation or a sequence of dilations and rigid motions. In the above picture, both hexagons are similar because a scale factor greater than one was applied. Then the red figure was rotated.]]> 2021-07-30 01:20:28 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664513184 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664540811 The number of degrees a figure rotates. The figure can rotate clockwise or counterclockwise.]]> 2021-07-30 01:54:39 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1664540811 mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1831933140
  • Preimage: The original figure before a transformation. Triangle ABC (blue) would be the preimage in the above example. You can also see the prime symbols next to the labeled vertices on the red triangle, informing you that this figure is the image.
  • Image: The new figure after a transformation takes place. In the reflection taking place in the above picture, the red triangle is the image.
    • ]]>     2021-10-21 00:11:57 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1831933140     Translations Basics mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838485991 2021-10-23 21:53:04 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838485991 Mapping Rules mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838515768 2021-10-23 22:36:51 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838515768 Translations GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838604694 Remember, when you TRANSLATE a point or figure, you SLIDE to create a CONGRUENT IMAGE with the SAME ORIENTATION.]]> 2021-10-24 01:16:26 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838604694 Tetris Translation GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838615260 Think back to how epically bad it was when I played Tetris. Why did I fail so miserably? Because I was performing a SERIES OF TRANSLATIONS ONLY!]]> 2021-10-24 01:34:40 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1838615260 Performing Reflections Across the x- and y-Axes mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1839660312 2021-10-24 17:54:52 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1839660312 Reflection GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1839673544 Notice that the image in quadrant I is the same distance away from the y-axis (line of reflection) as the preimage. However, it is also flipped. As a result, all of the x-values would be the inverse of the preimage's coordinates. The triangle remains congruent but with a different orientation.]]> 2021-10-24 18:05:49 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1839673544 Orientation GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1843335883 Orientation is the direction a figure faces. It changes during reflections and rotations but remains the same after translations.]]> 2021-10-26 00:36:47 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1843335883 Translations & Reflections | Jeopardy Review mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1848643952 Select a question and hit the space bar to check your answer.]]> 2021-10-27 15:34:09 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1848643952 Rotation GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1855891546 Rotation is a transformation in which a preimage is rotated about a fixed point. The new image remains congruent to the preimage with a different orientation.]]> 2021-10-30 20:19:08 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1855891546 Congruent Figures mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1879532249 2021-11-09 21:32:07 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1879532249 Orientation & Congruence of Figures After Transformations mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1879539681 2021-11-09 21:36:31 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1879539681 Congruent Figures mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1880212110 Here's an interactive digital flip book relating to congruent figures and rigid transformations. Go into present mode for the best experience.]]> 2021-11-10 03:30:52 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1880212110 Dilations Explained mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1904857044 2021-11-21 22:52:23 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1904857044 Dilation GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1904858105 In this GIF, you see the blue pentagon preimage being dilated by multiple scale factors. When the red image is smaller than the blue figure, a scale factor of less than one was used. However, instances where the red figure is larger than the blue signifies a scale factor of greater than one was applied.]]> 2021-11-21 22:54:19 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1904858105 Dilations & Scale Factor | Jeopardy Review mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1920892351 2021-11-30 16:49:33 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1920892351 Similar Triangles mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1924160917 2021-12-02 02:11:23 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/1924160917 Student-Paced Nearpod Decks mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2349948679 Want some extra practice + review? Check out the student-paced Nearpod presentations below to improve your skills in math class!
    •     Reflections
    •     Transformations + Translations

    ]]>     2022-10-21 01:24:39 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2349948679     Rotations with Tracing Paper mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371851454 2022-11-06 17:27:16 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371851454 BOOK CREATOR APP mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371874600 Check out our Math 8 Digital Word Wall, made with Book Creator App! If you click Read to Me, you'll have definitions read to you and additional explanations for various terms!]]> 2022-11-06 17:56:22 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371874600 FLOCABULARY mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371890396 CLICK HERE to visit Flocabulary to get some hip-hop 🔥🔥🔥 plus some math lines that will 🤯 blow your mind! Complete any activity listed for the following:
    • Congruence & Similarity
    ]]>     2022-11-06 18:17:28 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371890396     BLOOKET mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371919957 It's time for a Blooket Bonanza! Check out the links below to practice math concepts with some solo gameplay:]]> 2022-11-06 18:56:44 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371919957 GIMKIT mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371929979 Click the links below for good ol' fashioned Gimkit practice! If you want some Fishtopia-style homework, just let me know:]]> 2022-11-06 19:10:53 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2371929979 Congruent Figures GIF mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2381582140 Looking at the above triangles, you should see that all side lengths are congruent. When corresponding side lengths on two or more polygons are the same, their corresponding angles are also congruent.]]> 2022-11-13 14:36:31 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2381582140 QUIZIZZ mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2385743628 Use the Quizizz links below to practice specific skills for the unit. Also, make sure to check out any explanations I offer on specific questions:]]> 2022-11-16 00:56:41 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2385743628 Similar Figures + Finding Missing Dimensions mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2401185251 2022-11-29 02:11:01 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2401185251 Congruent & Similar Shapes mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2414863657 Here's a slide deck that has a lot of great visuals and examples for congruent and similar figures.]]> 2022-12-08 20:51:44 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2414863657 Similar Figures + Dilations Study Guide mr_isaacs_math https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2417033280 2022-12-11 21:13:55 UTC https://padlet.com/mr_isaacs_math/bqbawiqaffkarj3w/wish/2417033280