Fun with Angles and Polygons

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Transcript Fun with Angles and Polygons

Fun with Angles and Polygons
A unit for learning
about geometry
Ms. Collette Robitaille
Introduction to Geometry
•
•
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•
•
Unit 1: Angles (2 days)
Unit 2: Triangles (2 days)
Unit 3: Quadrilaterals (2 days)
Geometry Webquest (5 days)
Review Activities (3 days)
Test (1 day)
*This is a 3 week unit of instruction.
Unit One: Exploring Angles
Can you name the following angles?
obtuse
acute
right
straight
Click on the angle to reveal its name.
Angle Information
• Acute Angles – measure less than 90º
• Right Angles – measure exactly 90º
• Obtuse Angles – measure more than 90º
but less than 180º
• Straight Angles – measure exactly 180º
• Can you think of a way to
remember the names for each
angle?
Angles Task
Activity
•
For this activity, you will be paired up with a partner to visit
the following website.
•
After clicking below, skip the intro and click on the Make the
Angle Game.
•
You and your partner must make 10 angles and record
them on a sheet of paper.
•
Once you have recorded 10 angles, tell what type of angle
it is.
http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
Unit One: Angles Quick Check
Question #1
An acute angle is greater than 90º.
A. True
B. False
Unit One: Angles
OOPS!!!!!
Remember an acute angle is a cute
little angle.
Try Again
Unit One: Angles
Congratulations!!!!!
An acute angle is less than 90º.
Unit One: Angles Quick Check
Question #2
An obtuse angle is greater than
90º but less than 180º.
A. True
B. False
Unit One: Angles Quick Check
OOPS!!!!!
Better check again. Obtuse
angles are almost right and not
quite straight.
Try Again
Unit One: Angles Quick Check
Congratulations!!!!
An obtuse angle is between
90ºand 180º.
Unit One: Angles Quick Check
Question # 3
A straight angle measures 180º.
A. True
B. False
Unit One: Angles Quick Check
OOPS!!!!!
Remember. A straight angle looks
like a straight line.
Try Again
Unit One: Angles Quick Check
Congratulations!!!!
A straight angle measures 180º
and looks like a straight line.
Unit One: Angles Quick Check
Question #4
A right angle does not measure
90º.
A. True
B. False
Unit One: Angles Quick Check
OOPS!!!!!
A right angle looks like the corner of a
piece of paper.
Try Again
Unit One: Angles Quick Check
Congratulations!!!!
A right angle does measure
exactly 90º.
Unit Two : Triangles
Can you identify theses triangles by their
angles?
Right
acute
obtuse
Click on the angle to check your answer.
Unit Two: Triangles
• Right Triangles - have exactly one right
angle.
• Acute Triangles – all angles are less than
90º.
• Obtuse Triangles - have exactly one angle
greater than 90º.
Unit Two: Triangles
Can you identify these triangles by their
sides?
isosceles
scalene
equilateral
Click on the triangle to check your answer.
Unit Two: Triangles
• Isosceles Triangles - two sides are of
equal length
• Scalene Triangles - no sides are equal in
length
• Equilateral Triangles - all sides are of equal
length
Triangles Task
• For this task, you and your partner, must
complete the activity on the webpage listed
below. Review the triangles and then click
Triangles Quiz. Write your answers on a
sheet of paper.
Triangles Review
Unit Three: Quadrilaterals
Can you identify the following quadrilaterals?
parallelogram
rectangle
square
rhombus
trapezoid
Click on the quadrilateral to check your answer.
Unit Three: Quadrilaterals
• Parallelograms - 4-sided figure, opposite
sides are parallel and congruent
• Rectangle – 4 sided figure with 4 right
angles and opposite side congruent
• Square – 4 sided figure with 4 right angles
and 4 congruent sides
• Rhombus – 4 sided figure, all sides are
congruent
• Trapezoid – 4 sided figure with one pair of
parallel lines
Quadrilaterals Task
• For this task, you and your partner should
visit the following website.
• Using the virtual geoboard you and your
partner will need to construct each of the
five quadrilaterals we have discussed.
• To complete the assignment, on a sheet of
paper, tell how many geobands were
needed to create each quadrilateral.
http://matti.usu.edu/nlvm/nav/frames_asid_129_g_3_t_3.html
Unit Three: Quadrilaterals Quick
Check
Question #1
A rectangle is a four sided figure with 4
congruent sides.
A.
B.
True
False
Unit Three: Quadrilaterals
OOPS!!!!!!!!
Think about it. A rectangle looks
like a long box.
Try Again
Unit Three: Quadrilaterals
Great!!!!!!!!!
You remembered that a rectangle
has 2 parallel sides, 4 right
angles, and opposite sides are
congruent.
Unit Three: Quadrilaterals Quick
Check
Question #2
A rhombus has four congruent sides.
A.
B.
True
False
Unit Three: Quadrilaterals
OOPS!!!!!!!!
Remember that a rhombus looks
like a kite or a diamond.
Try Again
Unit Three: Quadrilaterals
HOORAY!!!!!!
You remembered that a rhombus
looks like an italic square and all 4
sides are congruent.
Unit Three: Quadrilaterals Quick
Check
Question #3
A square is a quadrilateral with only two right
angles.
A.
B.
True
False
Unit Three: Quadrilaterals
OOPS!!!!!!!!!
A square has all sides congruent
and all angles congruent.
Try Again
Unit Three: Quadrilaterals
Nice Job!!!!!!!
You knew that a square has four
equal sides and four equal angles.
Unit Three: Quadrilaterals Quick
Check
Question #4
A trapezoid is a four sided figure with one set
of parallel sides.
A.
B.
True
False
Unit Three: Quadrilaterals
OOPS!!!!!!
Think of the tables in a classroom.
It looks like a triangle without the
top.
Try Again
Unit Three: Quadrilaterals
AWESOME!!!!!!!
A trapezoid has exactly one set of
parallel sides.
Unit Three: Quadrilaterals Quick
Check
Question #5
A parallelogram has two sides that are
parallel and opposite angles are congruent.
A.
B.
True
False
Unit Three: Quadrilaterals
OOPS!!!!!!
Remember that a parallelogram
looks like an italic rectangle.
Try Again
Unit Three: Quadrilaterals
Nice Work!!!!!
A parallelogram is a 4 sided figure
with opposite sides parallel and
opposite angles congruent.
Unit Four: Geometry Web Quest
Unit Four: Geometry Web Quest
• For this part of the unit I would like for you
and your partner to explore geometry using
the internet.
• There are two web quests listed below.
• Follow the directions for each and turn in
your completed project. Have fun!!!
Web Quest #1
Web Quest #2
Unit Review
• Go back through the slide show to
complete the review sheet given to
you.
• Remember to look at the quizzes for
possible answers.
• Enjoy your time using the interactive
unit
• Test tomorrow on our Introduction to
Geometry.