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 Looking at Geometry (6-9)
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Looking at Geometry (6-9)

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Digital - Desktop and Mobile-Friendly PDF Version
Looking at Geometry (PDF)
Download size: 15.75 MB
Item #: 1321DB
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© AIMS Education Foundation. A single copy of this curriculum may be used by one teacher in his or her own classroom. Please purchase one copy for each teacher. More info.

Description

Grades 6-9
28 activities – 184 pages

Students will flourish as they learn the reasons behind formulas that describe geometric concepts and concepts of dimensionality and growth. Instead of being told a formula and asked to do it, Looking at Geometry offers meaningful hands-on activities that demonstrate why a formula works.
Geoboards, paper and scissors, and plastic geometric models are used in puzzles and investigation to develop an understanding of geometric formulas.  By composing and decomposing geometric figures, students begin to see patterns and relationships. As they articulate their discoveries, they find their ideas can be distilled into algebraic formulas. With clear understanding of formulas from experience, they can work backwards to find unknown dimensions.
For example, in “Puzzling Polygons,” students will be given five puzzle pieces that form a simple rectangle, but then pieces can be slid, spun or flipped and rearranged to form two parallelograms, two trapezoids, and a triangle. They will realize that while the shapes are different, the area remains the same as the rectangle. Discussion can then give way to how to determine the area of a rectangle and the relationship of that formula to the other shapes.
Additional investigations include study in:

  •     Area and perimeter formulas for two-dimensional figures
  •     Volume and surface area formulas for three-dimensional figures
  •     Sorting two- and three-dimensional figures
  •     The Pythagorean Relationship

Wooden cubes and foam blocks are used to develop an understanding of dimensionality. Building and wrapping boxes of wooden cubes helps students clarify the very different nature of linear, area, volume measures. As they construct tile patterns with colored foam blocks, students discover how the change in one dimension relates to the growth of the other dimensions. These explorations allow the opportunity to see how geometric change is represented algebraically in graphs and equations.

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The free sample(s) below contains the table of contents, and a free activity from this book.
Note: All files are pdf documents requiring Adobe Reader.

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