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SQUARE ROOTS BY-THE-DOTS

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Native American Geometry
144 Followers
Grade Levels
4th - 9th, Adult Education, Homeschool
Resource Type
Standards
Formats Included
  • PDF
Pages
70 pages
$5.00
$5.00
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Native American Geometry
144 Followers

Description

SQUARE ROOTS AND PYTHAGORAS THEOREM BY - THE - DOTS
5TH-10TH GRADES
BONUS: Decoding Prehistoric Architecture

A Pythagorean Numberline results from a series of rectangles generated from a simple square. These are known as the Root Rectangles. The square roots of all whole numbers can be spatially generated from the simple square and built-in arcs.

The square is central to these exercises. The square is a shape that contains and generates square roots that are perfect for introducing practical examples of the Pythagorean Theorem. This is a hands-on connect-the-dot method. Then, as a Geometric Detective, you will find clues and familiar patterns and and then reconstruct evidence that a similar geometry was being practiced in the Prehistoric American Southwest, and Mexican civilization.

Native American Geometry: The cure for the Common Core.
Focusing on the Perfect Polygons, first the student enjoys a field day with a new skill (compass and straightedge work) and ends up with designs full of built-in Math lessons, 4th Grade -12th Grade. Math breaks free of its usual constraints, and with the lessons, students discover corollaries in the world around them, in nature and world cultures, plus they acquire a skill for life, for use in art and crafts, math, drafting, architecture, even designing new logos. And every bit of work is teaming with math lessons. When you do the art, Math erupts!


Native American Geometry, printables, multiple intelligences, multicultural mathematics, prehistoric, 4th-9th grade, pythagoras theorem, pythagorean, protractor, angles, proportional constants, square roots, pi, phi, 360 degrees, exponents, sundial, solstice, equinox, symbols, drafting, graphics, architecture, Native Americans, math, geometry, middle school, 4th-9th grade, homeschool, homeschoolers, archaeology, Chaco Canyon, Pueblo Bonito, Anasazi, Hohokam, Pueblo Indians, connect-the-dots, visual math, hands-on.
Total Pages
70 pages
Answer Key
Included
Teaching Duration
2 Weeks
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Standards

to see state-specific standards (only available in the US).
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”

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