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3.1b: Area and Perimeter

3.1b: Area and Perimeter. - Quadrilaterals and composite shapes. M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three.

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3.1b: Area and Perimeter

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  1. 3.1b: Area and Perimeter - Quadrilaterals and composite shapes M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two dimensional figures (including composite figures) or surface area or volume of three M(G&M)–10–7 Uses units of measure appropriately and consistently when solving problems across content strands; makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement in other GSEs. (State)

  2. Area of Parallelograms Base height Base Base (b) = Height (h) = Area of a Parallelogram = Why ?

  3. Base Base What shape will it make when we cut off the triangle on the side and put in on the other side? A rectangle with the area=

  4. How many square yards of carpeting are needed to cover the family room, hallway, and bedroom?

  5. Area if Triangles But Why ? *b= base of the triangle *h = height of the triangle *_____________________________________________________________________

  6. h h b It is half of a parallelogram with the same exact base and height

  7. Area if a Rhombus Area =

  8. Example A rhombus has an area of 50 square mm. If one diagonal has a length of 10 mm, How long is the other diagonal.

  9. Base Area of a Trapezoid Height (has to be perpendicular to bases) Base (parallel side)

  10. Example #2 - Find the area #1- Find the area

  11. M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope. Find the area Use a geometric (area) approach Instead of algebraic (slope, distance)

  12. Now you try an example

  13. Does it work with other shapes?

  14. The end

  15. http://mathsteaching.files.wordpress.com/2008/01/areas-of-compound-shapes.jpghttp://mathsteaching.files.wordpress.com/2008/01/areas-of-compound-shapes.jpg

  16. http://mathsteaching.files.wordpress.com/2008/01/areas-of-compound-shapes.jpghttp://mathsteaching.files.wordpress.com/2008/01/areas-of-compound-shapes.jpg

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