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Bridging Geometry Concepts with Art Handout/Overview

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## Bridging Geometry Concepts with Art Handout/Overview

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**Bridging Geometry Concepts with ArtHandout/Overview**by Joan A. Cotter, Ph.D. joancotter@rightstartmath.com AMS Conference March 17, 2012San Francisco CA Complete presentation available after 3/20: rightstartmath.com**Drawing Tools**T-square T-square Right-handed user.**Drawing Tools**T-square Must hug the edge of the board.**Drawing Tools**Pencil (mechanical) and eraser Hold pencil 2-3cm (1 in.)from tip.**Drawing Tools**Pencil (mechanical) and eraser Parallel lines.**Drawing Tools**The 30-60 triangle Triangle must hug the t-square.**Drawing Tools**The 30-60 triangle This doesn’t work!**Drawing Tools**The 30-60 triangle More parallel lines.**Drawing Tools**The 30-60 triangle Still more parallel lines.**Drawing Tools**The 30-60 triangle Intersecting lines.**Drawing Tools**The 45 triangle Maintain a margin.**Move the t-square down.**Equilateral Triangles Draw the base line**Move the t-square down.**Equilateral Triangles Draw the base line**Draw a side.**Equilateral Triangles Draw the sides**Flip the triangle and repeat.**Equilateral Triangles Draw the sides**Flip the triangle and repeat.**Equilateral Triangles Draw the sides**A bit of erasing.**Equilateral Triangles Draw the sides**Equilateral Triangles**Divide it into halves**Equilateral Triangles**Divide it into halves**The two halves are congruent.**1 1 2 2 Equilateral Triangles Divide it into halves**Divide it in half another way.**Equilateral Triangles Divide it into halves**Equilateral Triangles**Divide it into halves**Equilateral Triangles**Divide it into thirds**Equilateral Triangles**Divide it into thirds**Equilateral Triangles**Divide it into thirds**Flip the triangle and repeat.**Equilateral Triangles Divide it into thirds**Equilateral Triangles**Divide it into thirds**Finding the center of the base line.**Equilateral Triangles Divide it into fourths**Be sure the tick mark intersects the line.**Equilateral Triangles Divide it into fourths tick mark**Equilateral Triangles**Divide it into fourths**Flip the triangle over and repeat.**Equilateral Triangles Divide it into fourths**How do you draw the last line?**Equilateral Triangles Divide it into fourths**The smaller triangles are similar to the larger triangle.**Equilateral Triangles Divide it into fourths**Name the rhombuses:**Equilateral Triangles Divide it into fourths A B F C E D**Name the rhombuses: ABDF,**Equilateral Triangles Divide it into fourths A B F C E D**Name the rhombuses: ABDF, BCDF, BDEF.**Equilateral Triangles Divide it into fourths A B F C E D**Name the trapezoids: BCEF,**Equilateral Triangles Divide it into fourths A B F C E D**How could you draw eighths?**Equilateral Triangles Divide it into eighths**Equilateral Triangles**Divide it into eighths**Equilateral Triangles**Divide it into eighths**Divided into sixths.**Equilateral Triangles Divide it into sixths**Name a right triangle: ADE,**Equilateral Triangles Divide it into sixths A B F G C E D**Name a right triangle: ADE, ABE,**Equilateral Triangles Divide it into sixths A B F G C E D**Name a right triangle: ADE, ABE, ABG.**Equilateral Triangles Divide it into sixths A B F G C E D**Name an obtuse triangle: GCE.**Equilateral Triangles Divide it into sixths A B F G C E D**Equilateral Triangles**Divide it into twelfths**Equilateral Triangles**Divide it into twelfths**Do you see the cube?**Equilateral Triangles Divide it into twelfths**Do you see the hexagon?**Equilateral Triangles Divide it into twelfths**Ninths**Equilateral Triangles