Geometry, Teacher\'s Edition

(Axel Boer) #1

  • To differentiate this lesson, I recommend beginning by having students design a Venn diagram to classify the
    quadrilaterals. Do this BEFORE teaching the lesson.

  • Begin by going through a brief explanation of a Venn diagram. Most students will be familiar with them.

  • Then tell students that they are going to work with the text in small groups and design a Venn diagram to
    classify the following quadrilaterals.

  • List the quadrilaterals on the board and provide students with chart paper and colored pencils.

  • Students have been working with these figures for a long time. This exercise allows you an opportunity to
    walk around and assess student understanding about these figures.

  • Allow students to devise their own classifications system to engage higher level thinking.

  • When finished, ask students to explain how and why they chose to classify the figures the way that they did.

  • Then move to the text.

  • Go through the material in the text with the students having a deeper understanding of different quadrilaterals.

  • Intelligences- linguistic, logical- mathematical, visual- spatial, bodily- kinesthetic, interpersonal, intraper-
    sonal.


III.SpecialNeeds/Modifications



  • Define each type of quadrilateral on the board.

  • Help students to create a chart of each with a drawing and a brief description.

  • Define Opposite Sides of Parallelogram Theorem

  • Define Opposite Angles of Parallelogram Theorem

  • Review distance formula

  • Review slope


IV.AlternativeAssessment



  • Use the Venn diagram exercise to assess student learning and understanding.

  • Look at how the students have chosen to classify the different figures- does this make sense? What adjustments
    are needed?

  • Did the students classify according to sides and angles?

  • Provide feedback to expand student understanding.


Using Parallelograms


I.SectionObjectives



  • Describe the relationships between opposite sides in a parallelogram.

  • Describe the relationship between opposite angles in a parallelogram.

  • Describe the relationship between consecutive angles in a parallelogram.

  • Describe the relationship between the two diagonals in a parallelogram.


II.MultipleIntelligences



  • Begin by handing out pieces of string to each student. Some of the strings can be the same length and some
    can be different lengths.

  • Have the students use these strings to work through the examples at their seats.

  • This is a hands- on way to demonstrate the power of congruent side lengths.

  • Then have the students design a quadrilateral on the coordinate grid. They can each decide whether it is a
    parallelogram or not.


4.6. Quadrilateral

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