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All About Angles
Welcome to our session in angles! We get angles when we have intersections of lines and planes, and knowing how to handle them is going to be important because they show up everywhere in geometry. Students will work through a new workbook in addition to having a new in-depth packet that explores angles in more detail, several games and activities, and a Lab Challenge project!
We're going to take two sessions to cover angles in depth. For this session, we're focus just on the Angles part of the packet. Expect to see applying angles to geometric shapes, like Triangles in the next session!
During our Geometry study unit, we will have special building projects for each session. If you would like to do these special projects, you will need materials (shopping list here). These bonus projects are optional, you can choose to do the workbooks and regular assignments instead.
Download your Geometry Workbook #2
To help you with your daily practice, I've put together the a new workbook for you. All levels of students will work through Geometry Workbook #2 Constructions Part 2. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.
Geometry Workbook: Constructions Part 2
This is the second workbook in geometry. I've put together a set of videos that will walk you through selected problems in this workbook, Constructions Part 2. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.
NOTE: We're going to work through this workbook over the course of two sessions (Session #2 and #3), so if you want to do just half the workbook for this session, you'll have time in the next session to finish workbook #2.
Math Obstacle Course Challenge #2: Reverse the Sweater (Solution)
During the live class, near the end of the beginner session, we had a special challenge. Be sure to work your way through the challenge first before looking at the solution! Find this announced and explained near the end of Math Lesson: Beginner: Day 1.
Angles & Triangles
An angle is a figure in geometry that we get when two rays or line segments meet at a common point (called a vertex). We get angles when we have intersections of lines and planes, and knowing how to handle them is going to be important because they show up everywhere in geometry!
We're going to take two sessions to cover the entire packet. For session, we're focus just on the Angles part of the packet. Expect to see Triangles in the next session!
Math Activity: Solve & Color
We're going to practice working with angles using this fun activity! You can choose to color or just solve each angle problem.
Math Activity: Angle Mazes
Let's get lost in a fun maze as we practice figuring out the missing angle information. There's two mazes in this packet, so let's get started!
Math Activity: Card Sort
This is a fun, quick card sort activity that will have you putting together everything we've covered with vertical, adjacent, complementary and supplementary angles so far. Think of this like searching for clues to find the missing information with each angle problem.
Geometric Constructions Art Project
This is a craft project for students to help them get comfortable using their compass and ruler together. While this is more creative and les "analytical" than the other assignments, keep in mind the relationships these shapes are making and forming with each other. What is so special about where the intersections are happening? Which lines are congruent? Which angles are the same? Think about these questions as you work through my designs and create your own!
Math Build: The Automatic Envelope
This is a craft project that my own kids absolutely love to make, even the ones in college! It saves the trouble of trying to find an envelope by folding the paper to make its own envelope. Try this with different sizes of paper to find the right size for you!
Math Challenge Project #2: Flashlight Laser Maze
This is our second challenge project! The purpose of these projects is to connect the math work we do in geometry with practical applications in science and engineering. You will need materials if you want to build these projects. These projects are designed to encourage kids to think about the challenge and come up with their on unique solutions!
Materials needed:
- Flashlight or red laser (inexpensive red keychain lasers work great)
- Index cards (lined or blank), 10, any size
- Paper clips (10)
- Scissors and tape
- Markers (pick darker colors)
- Small mirrors (1” square or round, you’ll need about 10). Craft stores carry these inexpensively, or you can make your own by covering small squares of cardboard with aluminum foil, or use mirrors from compacts or makeup kits
Below are two options for printing. The "NO PICTURES" is printer-friendly and does not include the color photograph instructions of the lab.
Advanced Level Math Class
This session, we are going to join a college-level physics class in studying light. Each of the two labs below are longer, about 45 minutes each. First, take out your math journal to take notes as we go along. Each time we have a quick lab activity, pause the video so you can do it along with me.
We are using the same materials as the Lab Challenge Project above in all our activities. The special "light blocks" that you'll see in the videos are just smaller versions of the "flashlight in a shoebox" that I demonstrated in the Light Maze videos in the Intermediate section. In fact, this lab takes the science concepts we discovered in the Light Maze and then goes into much more depth, so if you want to complete the Light Maze Challenge Project first, go ahead!
Math Challenge
Each session, I have a special Math Challenge for you to work on after you work through some of the content in this area of math. The goal for these special math challenges is for you to be able to communicate your great ideas with your family and friends, without them being in a math class or having any knowledge of a specific area of math. You should be able to convey your great ideas to most people that are interested in hearing what you have to share. Many families find this part of the math program exciting for them to participate in with their student!
Solution to Geometry Session #1 Math Challenge
The answer is two. Split the balls in two groups of three and one group of two. Compare the two groups of three using the scale. If one is heavier than the other, pick two balls from the heavier group and compare them on the scale. If one of them is heavier than the other, then that's your answer. If they weigh in equally, then the heavier ball is the one you didn't pick.
If the two groups of three balls weigh in equally, then the heavier ball is among the group of two. You can compare these using one further weighing, which will give you your answer.
Solution to Geometry Session #1: Transformations Escape Room
Last session, students were able to participate in an escape room for Transformations! If you got stuck, click download the solutions packet below.
