Foldables for Interactive Transofrmational Notebooks

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Bethanie Houston
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1 Foldables for Interactive Transofrmational Notebooks Reflections Translations s Dilations oth student and teacher versions are included. Nanc Norem Powell Nanc Powell 1

2 Information set of student notes and samples of teacher answers are included. 1. There are notes for reflections, translations, rotations, and dilations. Each set is two pages. If ou are downloading the SMRT Notebook file, ou can easil edit them. 2. These notes are intended to be printed double sided and printed in color. If ou print them, print them so that the are landscaped, duple (double sided) and choose flip on the short edge so the front lines up with the back. If ou choose not to print them in color, students can easil add their own color to the notes. 3. The notes should be cut out and folded on the dotted lines. I have added pictures on to show ou what these notes look like when the are folded. Nanc Powell 2

3 Definition: 2 7 Mini Golf hole in one Notation: Properties: 1 Reflection Reflection Glue here "Flip" Nanc Powell 3

4 D E F Summar G Pre image Image H I Mirror ais (, ) Mirror ais (, ) Mirror = (, ) Nanc Powell 4

5 Translation "slide" 1 Definition: Translation Notation: Glue Here Properties: Nanc Powell 5

6 3 2 distance (miles) (,) (+8, 5) (,) (, ) time (hours) d(t) = 50t +25 Nanc Powell 6

7 2 Definition Notation: 3 Properties: Glue Here "turn" 1 Nanc Powell 7

8 Point (,) (,) major E G 5 6 D major F major major chord 4 G G F O F E D D Nanc Powell 8

9 1 Dilation Dilation "Size Transformation" 3 4 Properties: glue here Notation: Nanc Powell 9

10 2 Definition Definition D Nanc Powell 10

11 Definition: reflection is a transformation of the plane in which each point is mapped onto its reflection image over a line or plane often called a line of reflection. The line of reflection is the perpendicular bisector of the segment connecting a preimage with its reflection image. Notation: rm() = ' Reflection of over line m is ' Properties: Reflection preserves collinearit, betweenness, distance, and angle measure and has the opposite orientation. 2 7 Mini Golf hole in one 1 Reflection Reflection Glue here "Flip" Nanc Powell 11

12 D' D ' ' F ' E' E F ' Summar G Pre image Image H I I' Mirror ais (, ) (, ) Mirror ais (, ) (, ) H' G' check Mirror = (, ) (, ) Nanc Powell 12

13 Translation Translation Definition: translation is a tranformation of the plane that SLIDEs ever point of a figure the same distance in the same direction. It is a composite of two reflections over parallel lines. Notation: Given that m n, then rn o rm (N) = rn (rm (N)) where N is reflected over m and its image is reflected over n T(a, b) is used for coordinates where (+a, +b) is the rule for each translated point. Glue Here Translation Properties: Translations preserve collinearit, betweenness, distance, and angle measure and have the same orientation. Nanc Powell 13

14 3 2 4 (,) (+8, 5) (,) (, ) distance (miles) ' 200 ' ' ' time (hours) ' ' d(t) = 50t +25 Nanc Powell 14

15 2 Definition: Properties: s preserve preserves collinearit, betweenness, distance, and angle measure and have the same orientation. 3 The ccomposite of two reflections over intersecting lines; the transformation ' turns" the preimage onto the image about a fied point (its center) denoted b R. Notation: R,G,100( ) = ''"" of 100 o about center G Glue Here "turn" 1 Nanc Powell 15

16 Point (,) (1,6) ( 6, 1) ( 1, 6) ( 6, 1) (1,2) ( 2, 1) ( 1, 2) (2, 1) (8,2) ( 2, 8) ( 8, 2) (2, 8) (,) (, ) (, ) (, ) major E G 5 6 D major F major major chord 4 G G F O F E D D Nanc Powell 16

17 1 Dilation Dilation "Size Transformation" 3 4 * segments and their images are parallel * (,) (k,k) where k is the magnitude of size change where k 0. k>0 enlarges, k=0 same size, k<0 shrinks * angle measure is preserved Properties: * collinearit & betweenness are preserved glue here Notation: If D is a point (.) Sk(D) = D' = (k, k) k is also known as a scale factor Nanc Powell 17

18 Definition Definition ) The transformation in which the image of (,) is (k,k) for k 0. ) The transofrmation S such that for a given point P and a nonzero real number k (its magnitude) and an point O (its center), S(P) = P' is the point on ra OP with OP' =k * OP D Nanc Powell 18

8 TH GRADE REV 9_24_14. 8th 2012 Outstanding Guides, LLC 245

8 TH GRADE REV 9_24_14. 8th 2012 Outstanding Guides, LLC 245 8 TH GRADE REV 9_24_14 8th 2012 Outstanding Guides, LLC 245 8th 2012 Outstanding Guides, LLC 246 Outstanding Math Guide Overview Vocabulary sheets allow terms and examples to be recorded as they are introduced