Module #11 of 15 Angles Grade 6 Math

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Module #11 of 15
Angles
Grade 6 Math
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Math Dragon Presents
“Angles”

ANGLES
There are four types of angles you
need to know: acute, right, obtuse,
and straight.

Angles
Acute Angles measure less than 90 .
Right Angles measure exactly 90°.
Obtuse Angles measure greater than 90° and less than 180°.
Straight Angles measure exactly 180°.

Angles
If you need to know the exact measurement of an angle, you need to be
able to read a protractor.
First, find your zero – the
bottom line points to your
zero.
Then, follow the numbers
until you get to the other
line.
Use the outside set of
numbers because
your zero is on the left.
Notice that from looking at the angle you
should know it is obtuse so expect an
answer greater than 90 and less than 180
This angle measures 120°.

Angles
Look at another example:
First, find your zero – the
bottom line points to your
zero.
Then, follow the numbers
until you get to the other
line.
Use the inside set of
numbers because
your zero is on the
right.
Notice that from looking at the angle you
should know it is acute so expect an
answer less than 90 .
This angle measures 50°.

Time to Practice!!!

Angles
When you look at a picture you should be able to tell
immediately if the angle is acute, right, obtuse or straight.
In quadrilateral KLMN, what type of angle is:
K
KNM _______________
70
NKL _______________
N
145
NML _______________
When naming an
angle…read the letters in
order. So angle KNM is
the angle that measures
145 .
M
55
L
obtuse
right
acute

Angles
Try an example:
First, find your zero – the
bottom line points to your
zero.
Then, follow the numbers
until you get to the other
line.
Use the inside set of
numbers because
your zero is on the
right.
What kind of angle is this? _____________
This angle measures _________
obtuse
140

Angles
Try another example:
First, find your zero – the
bottom line points to your
zero.
Then, follow the numbers
until you get to the other
line.
Use the outside set of
numbers because
your zero is on the left.
What kind of angle is this? _____________
This angle measures __________
obtuse
100

Angles
Let’s try a challenging problem:
Notice that neither arrow is
pointing to a zero…so we
need to write down two
numbers and subtract. You
can use either the inside or
the outside set of numbers
as long as you use the
same for both.
Be sure to use two
numbers from the
same level: inner or
outer.
What kind of angle is this? _____________
This angle measures _________
acute
30

Lets see how much
you have learned!!!

Angles
Find the measure of the following angle:
First, find your zero – the
bottom line points to your
zero.
Then, follow the numbers
until you get to the other
line.
Use the inside set of
numbers because your
zero is on the right.
What kind of angle is this? _____________
This angle measures __________

Angles
Try a challenging problem:
Be sure to use two
numbers from the
same level: inner or
outer.
What kind of angle is this? _____________
This angle measures _________

How will TAKS ask this problem?
The bookshelf attached to Jerome’s wall is shown below.
What type of angle is N?
A Acute
B Obtuse
C Right
D Straight

Another TAKS type problem?
What is the measure of
to the nearest degree?
KMP, formed by the fan shown below,
A 52°
B 48°
C 132°
D 148°
Look for your zero. Then stay on the
same level to find your answer.
Check for reasonableness…should
your answer be acute or obtuse?

Now you will create a
Problem of your own!!!

Create Your Own
• You are going to create an angle problem of
your own.
• You will need to draw a picture and write a
question to go with it for this problem.
• You need to explain what the correct answer is
and WHY?
• Remember what you learned and don’t be afraid
to take a math adventure like our Math Dragon!!

Your Angles Problem

CONGRATULATIONS!!!
JOB WELL DONE, and we will see you again soon in
“Math Dragon’s
Math Adventure!!”