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# Brocci Bundles: Transformations - Transformations BIG Bundle (22L, 81WS, 1,118P)

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Product Description
Spun-off from Amazon's popular line of Bossy Brocci Math and Big Science Workbooks, this is the TITAN of Transformation Bundles: 5 Units, 22 Lessons, 81 Worksheets, 1,118 problems - and Assessment up the a\$\$! Individual cost would be \$31; but the Bundle price is just \$21!

You just saved \$10.

226 slides are printed as 113 Landscape DOUBLE-SIDED sheets of paper, with the flip being along the 'SHORT' side.

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This Transformations BIG Bundle contains the:

Translations Bundle,
Reflections Bundle,
Rotations Bundle,
Dilations Bundle,
and
the Summary of Transformation Properties

The TRANSLATIONS UNIT Contains:

Translations
Students will:
1) Perform & Plot/Graph 8 Translations
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Convert & Draw Translation verbal commands into symbolic commands
4) Convert Translation verbal & symbolic commands into an Arithmetic command (e.g. ‘3 units Left & 5 units Up’ becomes ‘x – 3 & y + 5’)
5) Label, Locate & Write Ordered Pair Coordinates for Image figure Vertices
6) Answer 26 Multiple-choice questions based on their Calculations & Observations
7) Be compelled to show their work in a neat & orderly format
8) Be trained to identify & execute Translations methodically & systematically

Determining Translation Moves
Students will:
1) Determine or Identify 4 Translations, given both Original & Image figures
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Synthesize Translation verbal/sentence commands
4) Convert & Draw their Translation verbal commands into symbolic commands
5) Convert Translation verbal & symbolic commands into an Arithmetic command (e.g. ‘3 units Left & 5 units Up’ becomes ‘x – 3 & y + 5’)
6) Locate & Write Ordered Pair Coordinates for Image figure Vertices
7) Be compelled to show their work in a neat & orderly format
8) Be trained to identify Translations methodically & systematically

Back-translating to the Original Figure
Students will:
1) Perform & Plot/Graph 8 Back- or Reverse-Translations, given the new Image Figure
2) Locate & Write Ordered Pair Coordinates of Image figure Vertices
3) Interconvert & Complete Translation Verbal, Symbolic and Arithmetic commands when given one out of the three commands
4) Graph/Plot Original Figures
5) Label, Locate & Write Ordered Pair Coordinates for Original figure Vertices
6) Answer 26 Multiple-choice questions based on their Calculations & Observations
7) Be compelled to show their work in a neat & orderly format
8) Be trained to identify & execute Translations methodically & systematically

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The REFLECTIONS UNIT Contains:

Reflections
Students will:
1) Perform & Plot/Graph 12 Reflections
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Count and write the number of Grid Units from Original figure to Line of Reflection
4) Count and write the number of Grid Units from Line of Reflection to Image figure
5) Plot/Graph Image Figures
6) Label, Locate & Write Ordered Pair Coordinates for Image Vertices
7) Answer 15 Fill-in-the-blank and Multiple-choice questions based on their Calculations & Observations
8) Be compelled to show their work in a neat & orderly format
9) Be trained to identify & execute Reflections methodically & systematically

Determining Properties of Reflections
Students will:
1) Determine or Identify the Properties or Results of 12 Reflections, given the Original & Image figures
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Count and write the number of Grid Units from Original figure to Line of Reflection
4) Count and write the number of Grid Units from Line of Reflection to Image figure
5) Label, Locate & Write Ordered Pair Coordinates for Image Vertices
6) Fill in a Table with 60 Responses describing the Line or Reflection (Horizontal, Diagonal etc.); its effect on Lateral and Vertical position; and whether it Changes or Switches and/or Reverses signs of x & y
7) Fill in a 2nd Table with 48 Responses describing the Orientation (Clockwise/Right, Counterclockwise/Left) of the Original figures and Image figures
8) Answer 50 Fill-in-the-Blank and Mutliple-choice questions based on their Calculations & Observations
9) Be compelled to show their work in a neat & orderly format
10) Be trained to understand the Properties/results of Reflections methodically & systematically

Determining the Line of Reflection
Students will:
1) Determine or Identify 8 Lines of Reflection, given both Original & Image figures
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Synthesize Reflection verbal/sentence commands
4) Count and write the number of Grid Units from Original figure to Line of Reflection
5) Count and write the number of Grid Units from Line of Reflection to Image figure
6) Label, Locate & Write Ordered Pair Coordinates for Image figure Vertices
7) Be compelled to show their work in a neat & orderly format
8) Be trained to identify Lines of Reflection methodically & systematically

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The ROTATIONS UNIT Contains:

90 & 180 Degree Rotations about the Origin
Students will:
1) Perform & Plot/Graph 8 Rotations of 90 & 180 degrees about the origin
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Determine & Write Axis or Quadrant location of Original figure Vertices
4) Execute the Rotation command
5) Plot/Graph Image Figures
6) Label, Locate & Write Ordered Pair Coordinates for Image Vertices
7) Determine & Write Axis or Quadrant location of Image figure Vertices
8) Answer 20 Fill-in-the-Blank and Multiple-choice questions based on their Observations
9) Be compelled to show their work in a neat & orderly format
10) Be trained to identify & execute Rotations methodically & systematically

Determining Properties of 90 & 180 Degree Rotations about the Origin
Students will:
1) Determine the Properties or Results of 8 Rotations given both Original and Image figures
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Determine & Write Axis or Quadrant location of Original figure Vertices
4) Label, Locate & Write Ordered Pair Coordinates for Image Vertices
5) Determine & Write Axis or Quadrant location of Image figure Vertices
6) Fill-out a Table with 48 responses regarding the nature of a particular Rotation and its effect on x & y coordinates
7) Fill-out a 2nd Table with 24 responses regarding Figure Orientation BEFORE & AFTER a particular Rotation
8) Answer 50 Fill-in-the-Blank and Multiple-choice questions based on their Calculations & Observations
9) Be compelled to show their work in a neat & orderly format
10) Be trained to understand the Properties or results of Rotations methodically & systematically

Determining the Degrees and Direction of Rotation about the Origin
Students will:
1) Determine/Identify the Commands for 4 Rotations, given both Original and Image figures
2) Locate & Write Ordered Pair Coordinates of Original figure Vertices
3) Determine & Write Axis or Quadrant location of Original figure Vertices
4) Write the verbal/sentence Rotation Commands
5) Label, Locate & Write Ordered Pair Coordinates for Image Vertices
7) Determine & Write Axis or Quadrant location of Image figure Vertices
9) Be compelled to show their work in a neat & orderly format
10) Be trained to identify & execute Rotations methodically & systematically

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The DILATIONS UNIT Contains:

Dilations are Enlargements & Reductions
Students will:
1) Calculate, Label and Write Dilation Ordered Pair Coordinates, given Scale Factors > 1
2) Calculate, Label and Write Original Ordered Pair Coordinates, given Scale Factors > 1
3) Calculate, Label and Write Dilation Ordered Pair Coordinates, given Scale Factors < 1
4) Calculate, Label and Write Original Ordered Pair Coordinates, given Scale Factors < 1
5) Determine a total of 24 Ordered Pair Coordinates
6) Be compelled to show their work in a neat & orderly format
7) Be trained to identify & execute Scale Factors & Dilations methodically & systematically

Dilations and Determining Scale Factor
Students will:
1) Calculate and Write 10 Scale Factors, given both Original & Dilation Ordered Pair Coordinates
2) Label Missing Image Points
3) Test 16 pairs of Ordered Pair Ratios for Proportionality, via executing and writing-in Cross-Products
4) Comprehend that Scale Factor is just a Proportionality Constant
5) Identify which 4 ratios of the 16 are equivalent to the mathematical definition of Scale Factor, and equal to the actual Dilation from Steps 1 and 2
6) Be compelled to show their work in a neat & orderly format
7) Be trained to Understand and Manipulate Scale Factors methodically & systematically

Dilations and Determining Scale Factor and New Coordinates
Students will:
1) Calculate, Label and Write the Missing Scale Factors and Dilation Points & Ordered Pair Coordinates, given Original Coordinates and only one Image Point
2) Fill-in a total of 45 cells in two Tables
3) Be compelled to show their work in a neat & orderly format
4) Be trained to calculate & determine Dilation Coordinates & Scale Factors methodically & systematically

Dilations and Determining Scale Factor and Original Coordinates
Students will:
1) Calculate, Label and Write the Missing Scale Factors and Original Points & Ordered Pair Coordinates, given Dilation Coordinates and only one Original Point
2) Fill-in a total of 26 cells in two Tables
3) Be compelled to show their work in a neat & orderly format
4) Be trained to calculate & determine Original Coordinates & Scale Factors methodically & systematically

Dilations and Determining Scale Factor and Mixed Coordinates
Students will:
1) Calculate, Label and Write the Missing Scale Factors and Original and/or Dilation Points & Ordered Pair Coordinates, given two points to work with
2) Fill-in a total of 44 cells in two Tables
3) Be compelled to show their work in a neat & orderly format
4) Be trained to calculate & determine Coordinates & Scale Factors methodically & systematically

Dilations and Determining Scale Factor and Type of Dilation
Students will:
1) Calculate and Write 10 Missing Scale Factors from NON-graphical Original and Dilation Coordinates
2) Convert Scale Factors to either Whole Numbers or Simplified Fractions
3) Determine and Write whether ‘Scale Factor is < 1’ or ‘Scale Factor is > 1’
4) Determine and Write if the Dilation is a ‘Reduction’ or ‘Enlargement’
5) Fill-in a total of 40 cells in two Tables
6) Be compelled to show their work in a neat & orderly format
7) Be trained to recognize which Scale Factors produce reductions and enlargements methodically & systematically

Plotting Dilations
Students will:
1) Plot/Graph, Color & Label 4 Original figures and 4 Dilation figures on Graphs, given Original Coordinates and Scale Factor
2) Label & Write Dilation Points and Ordered Pair Coordinates
3) Graph a total of 8 Figures on 4 Graphs
4) Fill-in a total of 25 cells in 4 Tables
5) Be compelled to show their work in a neat & orderly format
6) Be trained to plot or graph Dilations methodically & systematically

Determining Dilation Scale Factor from Graphs
Students will:
1) Plot/Graph, Color & Label 8 Original figures and 8 Dilation figures on Graphs, given plotted points
2) Determine & Write Original and Dilation Ordered Pair Coordinates
3) Calculate & Write Scale Factors
4) Determine & Write Enlargement or Reduction
5) Fill-in a total of 50 cells in 8 Tables
6) Be compelled to show their work in a neat & orderly format
7) Be trained to determine Scale Factor from graphed figures methodically & systematically

Graphing Dilations and Determining Area
Students will:
1) Plot, Color, Label, Write & Calculate 4 Original & 4 Dilation figures – and any missing Dilation Coordinates
2) Calculate & Write Areas for Original and Dilation figures
3) Graph a total of 8 figures on 4 Graphs
4) Fill-in a total of 30 cells in 4 Tables
5) Be compelled to show their work in a neat & orderly format
6) Be trained to plot Dilations and determine Area from Graphed figures methodically & systematically

Graphing Dilations and Determining Area Trends
Students will:
1) Plot, Color, Label, Write & Calculate 4 Original & 4 Dilation figures – and any missing Dilation Coordinates
2) Calculate & Write Areas for Original and Dilation figures – and use these ratios for later questions
3) Graph a total of 8 figures on 4 Graphs
4) Fill-in a total of 33 cells in 4 Tables
5) Answer 25 Fill-in-the-Blank and Multiple-choice questions based on their Calculations & Observations
6) Be compelled to show their work in a neat & orderly format
7) Be trained to plot Dilations and determine the Effect on Area from Graphed figures methodically & systematically

Dilations Trends and Percent Change
Students will:
1) Write 14 equations that solve for new Height, given starting height and Scale Factor
2) Calculate 14 New or Dilated Heights
3) Classify 14 Scale Factors as being either ‘ > 1 ‘ or ‘ < 1 ‘
4) Classify 14 Dilations as either an ‘Enlargement’ or ‘Reduction’
5) Write 9 equations for and calculate Change in Height
6) Write 9 equations for Percent Change
7) Calculate 9 Percent Changes in Height, rounded to a Whole Number %
8) Fill-in a total of 83 cells in two Data Tables
9) Answer 20 Fill-in-the-Blank and Multiple-choice questions based on their Calculations & Observations
10) Be compelled to show their work in a neat & orderly format
11) Be trained to Calculate Percent Change from Dilations or Scale Factors methodically & systematically

Dilation Word Problems
Students will:
1) Solve for either Original dimensions, Scale Factor or Dilation dimensions, given two of the three in 8 WORD PROBLEMS
2) Follow and fill-in their prescribed workspaces
3) Fill-in a total of 47 cells in 2 Tables
4) Use the Bossy Brocci “Egg” method for solving Algebraic equations
5) Be compelled to show their work in a neat & orderly format
6) Be trained solve Dilation Word Problems and Algebraic equations methodically & systematically

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The SUMMARY of TRANSFORMATION PROPERTIES Unit contains:

Summary of Transformation Properties
Students will:
1) Summarize the Properties or Effects of Translations, Reflections, Rotations & Dilations in a Data Table of 20 cells with regards to:
Motion (Slide, Flip, Spin or Re-size)
Angles (Same or Different)
Figure Size (Same or Different)
Rigid or Non-Rigid Transformation
Congruent or Similar figures
2) Write the New Coordinates in a 2nd Data Table, after the same Ordered Pair undergoes 16 Transformations:
5 Translations
6 Reflections
3 Rotations
and
2 Dilations
3) Write 8 sentence descriptions in a 3rd Data Table of what effect various Transformations have on the x & y Coordinates
4) Answer 22 Fill-in-the-Blank and Multiple-choice questions based on their Calculations & Observations
5) Be compelled to show their work in a neat & orderly format
6) Be trained to know the Properties or Effects of the 4 Transformations methodically & systematically

Printing should be done in Landscape and double-sided, with the flip being along the 'short' side

Math Geometry Transformation Transformations Properties of Transformations Coordinate Plane Translation Translations Properties of Translations Image Back-translating Translating Reflection Reflections Properties of Reflections Reflecting Reflecting across Horizontal y = 0 x-axis Vertical x = 0 y-axis Diagonal y = x Line of Reflection Rotation Rotations Properties of Rotations Rotating about Origin 90 180 degree rotations Determining Rotation Dilation Dilations Dilating Enlargement Enlargements Reduction Reductions Scale Factor Scale Factors Original Coordinates New Coordinates Image Coordinates Graphing Dilations Plotting Dilations Dilations and Area Dilation Trends Dilation and Percent Change Dilation Word Problems
Total Pages
226 pages
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Teaching Duration
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