Using line designs to teach Math, Art & Writing Liz White Project Lead the Way Launch Teacher Tahoma School District ewhite@tahomasd.us August 2017

LINE DESIGNS

LINE DESIGNS ...are geometric patterns formed entirely with straight line segments to produce the illusion of curves. https://www.youtube.com/watch?v=GkuL3GxPDWY

LINE DESIGNS ...are geometric patterns formed entirely with straight line segments to produce the illusion of curves. LINE DESIGN EXAMPLES TO INSPIRE :46 with music :) https://www.youtube.com/watch?v=GkuL3GxPDWY

Teach LINE DESIGNS and your math standards Measurement and Data strand at all grades K-7 Geometry strand at all grades K-8 Translation, Rotation, Reflection Grade 8 Grade Levels Doc: https://docs.google.com/document/d/1FI4cYLqCwtjjWUI44yNxulGTVvZ9aXYfXo-ZNtQG8zY/edit

LINE DESIGNS - LEARNING TARGETS I can draw line designs within angles construct line designs in acute, obtuse, or right angles construct a hexagon with a line design

LINE DESIGNS-LEARNING TARGETS with differentiation construct line designs in adjacent acute, obtuse, or right angles inscribe a polygon with line design in a circle that overlaps, tessellates, or has symmetry I can

LINE DESIGNS - WORD WALL POINT LINE LINE SEGMENT CONGRUENCE RAY ACUTE OBTUSE CIRCUMFERENCE RIGHT PARALLEL PERPENDICULAR ISOSCLES PARABOLA ADJACENT VERTICAL SCALENE HORIZONTAL SYMMETRY TESSELLATION EQUILATERAL RADIUS DIAMETER COMPASS PROTRACTOR INSCRIBE DESIGN PERIMETER PARALLELOGRAM RHOMBUS SQUARE VERTEX POLYGON ETC...

Use nails, hammer, string, ruler, or pencil to construct designs LINE DESIGNS - SKILLS Use nails, hammer, string, ruler, or pencil to construct designs Construct angles or polygons using math tools (protractor, ruler, template or compass) Use metric or standard units to measure geometric constructions Construct angles or polygons using metric or standard units Follow step-by-step directions for compass constructions and practice tasks Design a line design or string art project that meets criteria and constraints

LINE DESIGNS - How to draw your first design How to Draw Line Designs 2:42 https://www.youtube.com/watch?v=IfvC21f0hxE

LINE DESIGNS - REady to construct? Draw practice line designs in worksheets 1-2 and 4-5 and/or draw your own acute, right, or obtuse angles with line designs. **reusable paper/worksheet, template ruler, pencil

LINE DESIGNS success criteria My angle and polygon line design constructions show: precision of measurement in line with point connections evenly-curved parabolas *overlapping, tessellation, or symmetry (even in my use of color) *centered or balanced design *Go Farther Criteria for Differentiation

LINE DESIGNS - adjacent angles & shading Copy 33 - Construct the design of adjacent right angles inside the square by first drawing two diagonal lines between opposite corners. Add shading for effect and to showcase symmetry and rotation. ***Copy 33, template, pencil

LINE DESIGNS copyright©amberpasillas2010

LINE DESIGNS copyright©amberpasillas2010

LINE DESIGNS - Draw a hexagon Try one or both techniques for making a hexagon on reusable paper using either: a protractor, template, pencil https://www.youtube.com/watch?v=Ya65HPty93s a compass, template, pencil https://www.youtube.com/watch?v=6eVmLqXv7Ck

LINE DESIGNS copyright©amberpasillas2010

LINE DESIGNS - practice success criteria angle rays are the correct length angles are the correct measure for symmetry or balance or precision use of a ruler is evident in the straight lines lines connect at a clean intersection with points along the angle rays design spacing shows evenly measured line segments the line design is correctly constructed to create an even parabola

String ART

Line Design or string art the Design Challenge Create a line design or string art for display at an art show and to give as a gift

Line Design or string art Design Challenge criteria line segments less than 18 cm long overlapping and/or symmetry/or tessellation a minimum of 12 acute, right, or obtuse angles filled with accurate line design parabolas accurate line segment connections at .5 cm divisions use of a ruler and/or protractor, compass fewer than 300 (nail) points

Line Design or string art Design Challenge constraints- time (show and gifting dates) materials available (brads hard to get in bulk); cost (limit of brads #); space; dimensions of materials (size of plywood board; height of brads)

LINE DESIGNS - original success criteria for string art line segments less than 18 cm long overlapping and/or symmetry/or tessellation a minimum of 12 acute, right, or obtuse angles filled with accurate line design parabolas accurate line segment connections at .5 cm divisions use of a ruler and/or protractor, compass fewer than 300 (nail) points

string art fashion show

string art fashion show Audition for Fashion Show Speaker Modeling of Success Criteria "Here comes pentagon POP! This masterpiece is created out of 252 nails, four 90 degree angles, 10--60 degree angles, and five 72 degree angles. The pentagon holds a flower inside of it, and the square hold the pentagon. Note the overlapping and tessellation of the triangles, the accurate stringing, the crisp angles, and the contrasting colors which are engineered to make the pentagon POP! Thank you, _________ (say your own name) "

string art fashion show Fashion Show Criteria I have a title for my masterpiece I included at least 5 geometry or line design elements that you included in your masterpiece: evenly spaced nails, nails at the same height, use of a compass or protractor, fewest knots possible, overlapping, tessellation and/or symmetry, polygon shapes, angle measures, # of nails, color scheme to match the title, a theme or story to go with your art piece I used accurate yet vivid descriptions about my masterpiece I concluded with the phrase: Thank you, _________(your name)

LINE DESIGNS - Performance Task STRING ART BOARDS FOR OUR CLASS! Name_____________________________________________ Part I--Mrs. White decided to buy a 4’ X 8’ plywood sheet at a hardware store. She figured she might be able to get a good number of boards if she asked to have them cut into 16’ X 16” boards. Use graph paper to show and explain/label how many boards Mrs. White was able to get from the big plywood sheet using words, numbers, and/or pictures. Part II--If Mrs. White paid $43.80 (sales tax is already included) for each plywood sheet, how much does each 16” x 16” plywood board cost? (Round your decimal to the nearest hundredth)

LINE DESIGNS- Literature/writing

LINE DESIGNS Literature/writing The Dot and the Line: a romance in lower mathematics--Norton Juster (1963) mathematical humor/word play/vocab write a script based on book/perform write your own Dot and Line or geometry tale write a story, poem, song,... about your string art piece

LINE DESIGNS - ART PRINCIPLES LINE PERSPECTIVE FORM/SHAPE 2 OR 3 DIMENSIOANL COLOR SCHEMES OPTICAL ILLUSION PATTERN TESSELLATION BALANCE SYMMETRY

LINE DESIGNS - future ready Effective Communicator Self-Directed Learner Quality Producer Complex Thinker Conscientious Worker Collaborative Teammate Community Contributor Responsible Decision Maker with actual tools! Communicator fashion show; perf tasks Collaborative: share work as you go to evolve and help others grow Collaborative share materials, share ideas, give your creation in show and as an actual gift

LINE DESIGNS - Instructional videos 3:18 How to Draw a Line Design in a Right Angle very simple! https://www.youtube.com/watch?v=uulfOWzIe9o 3:16 Sped Up String Art Hexagon Design https://www.youtube.com/watch?v=Nx6m0gqV02E 6:20 Sped Up Starburst Yellow String Art Construction https://www.youtube.com/watch?v=lm38Url_560 13:19 Hexagon String Art Design on Foam Board--excellent!Shows how to make a hexagon with a protractor and how to tie on and off :) https://www.youtube.com/watch?v=PtRwhSBfMm8&t=24s 11:40 More Line Design Ideas with line to point connections shown for several designs https://www.youtube.com/watch?v=wR0fK6jsHVc 2:36 Watch the stringing of a design #7 with String Art Workshop! https://www.youtube.com/watch?v=fers-ipiSrA

LINE DESIGNS - more Instructional videos 2:36 Steps to Drawing a Challenging Line Design--Draco Part I https://www.youtube.com/watch?v=aMoOIC_CMnI 2:36 A Line Design Construction-Draco Part II step by step https://www.youtube.com/watch?v=aMoOIC_CMnI&t=27s 3:53 Simple Rectangle Template pre-prepared for nailing and with elaborate stringing with sewing thread https://www.youtube.com/watch?v=DwC1-_yPHIE ***Creating a line design with code http://www.christinabergey.com/notes_code/nc.php?topic=r_line_designs

LINE DESIGNS Celebrate THE Diverse talents IN YOUR CLASS!

Thank you for coming today! AND REMEMBER .... USE LINE DESIGNS TO TEACH MATH, ART, & ELA Liz White Project Lead the Way Launch Teacher Tahoma School District ewhite@tahomasd.us 1:56 Watch the stringing of design #8 "Tranquility" with String Art Workshop! https://www.youtube.com/watch?v=NBd7mgAxuNI