Top Banner
In your journal, create this chart Polygon Number of Angles Sum of degrees Place your tan homework on your desk
16

In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Jan 12, 2016

Download

Documents

Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

In your journal, create this chart

Polygon Number of Angles

Sum of degrees

Place your tan homework on your desk

Page 2: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Expectations

• Explain how the formula for the sum of angles of a polygon is derived

• Compute problems regarding the sum of angles of a polygon

Page 3: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

How many degrees in the sum of the interior angles of a triangle?

180 Degrees

Page 4: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Add the data to the chartPolygon Number

of AnglesSum of degrees

Triangle 3 180

Page 5: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

How many degrees in the sum of the interior angles of a quadrilateral?

360 Degrees

Page 6: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Add the data to the chartPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360

Page 7: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

How many degrees in the sum of the interior angles of a pentagon?

330 + 210 =

540

Page 8: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Add the data to the chartPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540

Page 9: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Add the data to the chartPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710

Page 10: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Add the data to the chartPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710Heptagon 7 890

Page 11: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Look for a patternPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710Heptagon 7 890

+ 180

+ 180+ 180

+ 180

The sum of the degrees increases 180 degrees for every additional

angle

Page 12: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Look for a patternPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710Heptagon 7 890

What is the relationship between the number multiplied by 180 and number of sides of a

triangle?2 x 180 =3 x 180 =

4 x 180 =

5 x 180 =

1 x 180 =

Page 13: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Look for a patternPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710Heptagon 7 890

What is the relationship between the number multiplied by 180 and number of sides of a

triangle?

2 x 180 =3 x 180 =

4 x 180 =

5 x 180 =

1 x 180 =or

Number of angles – 2 times 180 = sum of degrees

(n-2)180 = Sum of degrees

Page 14: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

What is the sum of all the angles of an octagon?

(n-2)180 = Sum of degrees

(8-2)180 = Sum of degrees

6 x 180 = 1080

Page 15: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

What is the sum of all the angles of an nonagon?

(n-2)180 = Sum of degrees

(9-2)180 = Sum of degrees

7 x 180 = 1260

Page 16: In your journal, create this chart PolygonNumber of Angles Sum of degrees Place your tan homework on your desk.

Record formula in journalPolygon Number

of AnglesSum of degrees

Triangle 3 180Quadrilateral 4 360Pentagon 5 540Hexagon 6 710Heptagon 7 890

(n-2)180 = Sum of degrees