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Understanding and Classifying Quadrilaterals: A Comprehensive Guide

This guide focuses on defining and classifying the various types of quadrilaterals, including parallelograms, rhombuses, rectangles, squares, kites, trapezoids, and isosceles trapezoids. Clear definitions, characteristics, and examples are provided to help students accurately identify and work with these shapes. Additionally, there are practical exercises to apply the learned concepts, along with a creative project to demonstrate the understanding of mathematics in real-world contexts, blending creativity and accuracy in mathematics.

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Understanding and Classifying Quadrilaterals: A Comprehensive Guide

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  1. Warm up.. • Page 286

  2. 6.1 Classifying Quadrilaterals

  3. SWBAT… • Define and classify special types of quadrilaterals

  4. > >> >> > Parallelogram • Quadrilateral with both pairs of opposite sides parallel

  5. | | | | Rhombus • Parallelogram with four congruent sides

  6. Rectangle • Parallelogram with four right angles

  7. | | | | Square • A parallelogram with four congruent sides and four right angles.

  8. || || | | Kite • Quadrilateral with two pairs adjacent sides congruent and no opposite side congruent

  9. Trapezoid • Quadrilateral with exactly one pair of parallel sides > >

  10. Isosceles Trapezoid • Trapezoid whose nonparallel opposite sides are congruent

  11. Example 1 • Determine the most precise name for the quadrilateral with vertices Q (-4, -4), B (-2, 9), H (8, 9) and A (10, 4)

  12. Example 2 • In parallelogram RSTU, m<R = 2x – 10 and m<S = 3x + 50. Find x.

  13. Example 3 • JTKB is a kite w/ JB = KB. Find x and y. x + 6 J T 2y + 5 3x - 5 B K 2x + 4

  14. Class work… • Page 290 – 292 #’s 1 – 13, 15, 19 - 35

  15. Second 6 weeks project • You are to take something you’ve learned in this second six weeks and create a short story, poem, song, rap, comic strip, etc. This creation should be original. You should include how to do the math and how that math is useful. If you choose to rap/sing your rhyme, be sure you can be clearly understood. You will be graded on the originality of your project, the clarity, the accuracy of your math and how you tie that into the real world. Points will be lost for any explicit language.

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