The class scored the following scores on the test: 20, 92, 82, 85, 92. Median? Mean? Mode? Is the...

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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

Transcript of The class scored the following scores on the test: 20, 92, 82, 85, 92. Median? Mean? Mode? Is the...

Page 1: 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?

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

Page 2: 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?

Parallelograms

Page 3: 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?

Take a minute to write down what characteristics might be necessary to call a shape a parallelogram.

What is a parallelogram?

Page 4: 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?

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

What is a parallelogram?

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Page 5: 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?

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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Page 6: 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?

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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Page 7: 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?

Solve for x and y

Properties of Parallelograms

Page 8: 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?

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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Page 9: 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?

Solve for a and b

Properties of Parallelograms

Page 10: 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?

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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Page 11: 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?

Solve for r and s

Properties of Parallelograms

Page 12: 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?

On a New Sheet of Paper

Page 13: 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?

How much information do we need to know whether or not a quadrilateral is also a parallelogram?

What do we need?

Page 14: 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?

Prove it!

Is this a parallelogram?

Page 15: 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?
Page 16: 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?
Page 17: 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?

PROVE IT!!!!!!!OMG!!

Is this a parallelogram?

Page 18: 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?

Rewrite this as a two column proof

Flow Proof

Page 19: 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?

On a New Sheet of Paper

Page 20: 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?

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