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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 More Quality Curriculum by Time For Home School is available now at www.currclick.com Sign up for our newsletter at www.timeforhomeschool.com 10