Post on 13-Jan-2016
The class scored the following scores on the test: 20, 92, 82, 85, 92.
Median? Mean? Mode? Is the mean or median more useful in this situation? Why?
20 is an outlier. Other situations where the mean or median is more useful?
Measures of central tendency: Mean and median
Parallelograms
Take a minute to write down what characteristics might be necessary to call a shape a parallelogram.
What is a parallelogram?
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
What is a parallelogram?
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Fold a piece of graph paper into fourths.
In the top left quadrant draw a parallelogram ABCD it can be big or small. No rectangles.
What are the slopes?AB = ?, BC =?, CD =?, DA =?
How do you know it’s a parallelogram?
Activity!
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Fold a piece of graph paper into fourths.
In the top right quadrant draw a parallelogram EFGH it can be large or small. No rectangles.
Try to make it so the sides are not of equal length.
What can you conclude about the opposite sides of a parallelogram?
Activity!
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Solve for x and y
Properties of Parallelograms
In the bottom left quadrant draw a parallelogram make this one fairly big. No rectangles.
Now measure the angles.
What two traits do you notice? Discuss with your neighbor.
Activity!
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Solve for a and b
Properties of Parallelograms
In the bottom right quadrant draw a parallelogram make this one fairly big. No rectangles.
Draw the diagonals of the parallelogram.
What do notice about these?Discuss with a neighbor.
Activity!
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Solve for r and s
Properties of Parallelograms
On a New Sheet of Paper
How much information do we need to know whether or not a quadrilateral is also a parallelogram?
What do we need?
Prove it!
Is this a parallelogram?
PROVE IT!!!!!!!OMG!!
Is this a parallelogram?
Rewrite this as a two column proof
Flow Proof
On a New Sheet of Paper
Exit TicketHomework Determine whether
the shape is a parallelogram. If it is find the remaining information.
6.2) Pg. 333: 20-37, 60, 65-70
Pg. 342: 9-15, 17-20, 29