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Transcript
mathcraft
geometry
Types of Angles
1
About Time for Home School
Time for Home School is a division of Robbins Creative Content, LLC. Veronica
Robbins is president and owner of the company. She is a former classroom teacher,
curriculum writer, and school administrator. Veronica lives in Woodland, California
with her husband and two sons. She holds a Masters degree in Education and has
over 25 years of experience working in and with public, charter, and private schools.
As an outgrowth of her educational experience and homeschooling of her 10 year old
son, Veronica established Time for Home School to develop curriculum materials of
superior quality.
A Time for Home School website can be found at http://timeforhomeschool.com.
You may reach Veronica by phone (866-362-1871) or by email (vrobbins@
robbinscontent.com).
These educational materials have been created under the “Fair Use”
doctrine pursuant to United States copyright law. Minecraft is a
trademark of Mojang AB, Stockholm. The author and publisher of these
materials are not associated with the makers of Minecraft or Mojang AB.
Special Minecraft Font is provided for use under
Creative Commons License by Ashley Denham.
Copyright 2014. Robbins Creative Content, LLC. All rights reserved. Purchaser
is granted rights for use in their own family or classroom. Any other digital
duplication, electronic transmission or posting of the contents contained,
printing, photocopying, and/or distribution of copies of content is prohibited.
2
Information for Parents and Teachers
Kids everywhere love Minecraft, which makes it the perfect vehicle for teaching a wide
variety of topics. Children learn better when they want to learn something. By connecting
academic content to something they already love, we are able to take advantage of
their excitement and motivation. This Minecraft Math Mini-Unit unit is designed to be a
supplement to resources you use to teach your child about the three different types of
angles. Look for other Minecraft Math units to supplement your curriculum and build on
your child’s love for Minecraft.
The following is a description of what you’ll find here:
Mathcraft Types of Angles instruction about types of angles (p. 4) – The goals for the
unit are stated in this section, along with some basic instructions about Minecraft images.
Time for Practice (p.7) – Students identify right, acute, and obtuse angles using images
from Minecraft.
Extra! (p. 8) – Another practice problem to help students identify right angles.
Build It! (p. 8) – Students are given two assignments for building things in Minecraft to
demonstrate their understanding of the types of angles.
What’s next? (p. 8) – This is a description of the full unit on angles (All about Angles)
that you should explore after this mini-unit. It includes angle measurement, the types of
triangles, and a more in-depth study of geometric principles.
Answer Key (p. 9) – This is where you’ll find the answers to the activities in the mini-unit.
The answers for the Build It! activities will vary based on what your children build.
Please Note:
This is a mini-unit provided by Time for Homeschool. Our full units are much longer and
provide students with more practice, both in terms of the amount and variety of practice.
If you have a topic you would like to see in a Time for Homeschool Mathcraft Unit, please
email your suggestion to [email protected].
3
Mathcraft Types of Angles
Mini-Unit
This is a line. The arrows on either end indicate that it keeps going on without
stopping.
This is a line segment. It is a portion of a line, and it has a beginning and
an end.
When two lines or line segments collide, they form angles.
The world is full of angles. They are
all around us. Look around the room
you are in. The walls intersect in the
room forming an angle. Straighten
out one of your arms in front of you
and then bend it a little. Do you see
the angle?
Minecraft is full of angles. In fact,
it’s a world of angles. Even circles
are formed by line segments coming
together in lots of little angles. In
Minecraft, the angle is king!
4
While angles of all sizes and shapes are everywhere, there are only three
main types of angles – right angles, acute angles, and obtuse angles.
First is the right angle. Right angles form perfect corners, like the corners
of a square. Look at the image of Creeper, below. All four corners form right
angles.
We also refer to right angles as 90 degree angles because they measure
90°.We’ll discuss degrees and angle measurements in the next unit.
All squares have four equal sides and four equal angles. It’s likely that the
corners on the cupboards in your kitchen are right angles. Most corners on
picture frames form right angles. Look around your house and find 5 other
right angles. List them here:
1.____________________________________________________
2.____________________________________________________
3.____________________________________________________
4.____________________________________________________
5.____________________________________________________
5
Take a look at the block wall, below. It’s just full of right angles! Angles A
and C are right angles. Angles B and D are different. The line segments
split the block forming two smaller angles out of each 90° angle. That
shows us the second kind of angle – acute angles. Acute angles are
smaller than right angles. In other words, they are less than 90°. We
haven’t talked about angle measurement yet, but I’ll bet you can figure out
the measurement of those acute angles formed by cutting a 90°angle in
half.
Right! These acute angles are 45°, but an acute angle can be any
measurement less than <90°. Even if it’s one degree less than a right
angle, it’s called an acute angle.
You’ve learned about right and acute angles. The third type of angle is
obtuse. An obtuse angle is an angle with a measurement greater than
>90°.
Right Angle
90°
Acute Angle
<90°
Obtuse Angle
>90°
6
Can you find any examples of acute and obtuse angles in your home? List
where you found them here.
Acute -______________________________________________________
Obtuse - ____________________________________________________
Time for Practice!
Below are images of a
horse and a cat. There
are black lines near the
identified angles in each
image for you to write
the name of the type of
angles you see: right,
acute, obtuse.
Extra
Draw a line to show how many
degrees in each type of angle?
Right
>90
Acute
Obtuse
<90
90
7
Extra!!!!
Can you count the number of right angles in the block wall? ____________
(Hint: Each block has four.)
Build it!
1. In Minecraft, build a fort or garden that has 200 right angles. Show it to
your parent or teacher.
2. In Minecraft, find and identify at least 2 acute angles and 2 obtuse
angles. Show your parent or teacher.
What’s Next?
From here we continue to All About Angles, a full unit covering angle
measurement, and triangles, the types of triangles (equilateral, isosceles,
and scalene). We’ll learn several ways to determine the size of angles using
both a protractor (real protractor electronic/online protractor ) and calculations
based on other angles in the triangle.
8
aNSWER kEY
Extra
Draw a line to show how many
degrees in each type of angle?
Time for Practice
Right
>90
Acute
Obtuse
<90
90
ACUTE
OBTUSE
RIGHT
RIGHT
RIGHT
ACUTE
Extra!!!
There are 96 right
angles in the block wall.
OBTUSE
ACUTE
9
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10