Casio ED-WKBK-PRECALC Datasheet download pdf (Page 18)

Quite the Quadrilateral Teacher Notes

Topic Area: Properties of Parallelograms

NCTM Standards:

• Use geometric ideas to solve problems in, and gain insights into, other

disciplines and other areas of interest such as art and architecture.

• Use Cartesian coordinates and other coordinate systems, such as navigational,

polar, or spherical systems, to analyze geometric situations.

• Investigate conjectures and solve problems involving two- and three-

dimensional objects represented with Cartesian coordinates.

Objective

The student will be able to use algebra and statistics to prove that a

quadrilateral is a parallelogram, demonstrate that the opposite sides are

equal, demonstrate that the diagonals bisect each other, and prove that the

opposite angles are equal.

Getting Started

As a class, review the meaning of slope and the slope-intercept form of an

equation; include in the discussion the relationship of the slopes between

parallel lines and perpendicular lines. Review methods of proving triangles

congruent using the Side-Side-Side method.

Prior to using this activity:

• Students should be able to find the xy-line for a pair of coordinates using a

graphing calculator.

• Students should be able to perform calculations involving square roots,

ratios, and parentheses using a graphing calculator.

• Students should know the formula for finding the distance between two

points.

Ways students can provide evidence of learning:

• The student will be able to write conjectures pertaining to a parallelogram.

• The student will be able apply the properties of a parallelogram to real-life

problems.

Common mistakes to be on the lookout for:

• Students may confuse the x and y values in the calculations.

• Students may enter the problem incorrectly into the calculator.

Definitions

• Parallelogram

• Perpendicular

• Endpoint

• Slope

• Diagonal

• Intersection

• Midpoint

• Congruent

• Hypotenuse

• Leg

Activity 7 • Geometry with the Casio fx-9750GII

1 2 ... 13 14 15 16 17 18 19 20 21 22 23 ... 48 49

Comments to this Manuals

No comments

Casio ED-WKBK-PRECALC Datasheet Page 18

Comments to this Manuals