Google+
Showing posts sorted by date for query geometry. Sort by relevance Show all posts
Showing posts sorted by date for query geometry. Sort by relevance Show all posts

Look -- Book Review & Finding Patterns Activity Round-Up

 

Disclosure: I was sent a copy of this book in exchange for an honest review. All opinions are my own.

As a math teacher I know that being able to see and recognize patterns is important. When kids are young, we teach them simple pattern finding. When they are older, we teach harder pattern finding that goes into things like equations of lines and other graphs. I know because I just taught patterns to my algebra class. I also teach patterns in geometry. Patterns are important in life and in developing our brains! Patterns are also a huge part of our lives. We see them all around us. We create them in our daily lives. Patterns can be dances, songs, daily routines, fabric prints, bead colors or shapes, spirals, branches, etc. Even our bodies are made with some patterns. They are truly everywhere. Today I get to share a new book about looking for patterns both to learn patterns and to help give you a break when needed. The book is Look by Gabi Snyder and illustrated by Samantha Cotterill. It is recommended for ages 4 to 8.

Pi Day Activities for Different Ages

 


On March 14, mathematicians and much of the world celebrate Pi Day. Since the approximation of the number pi is 3.14, March 14th was picked for the day. It was first celebrated in 1988 in San Francisco. As a math teacher I get excited for Pi Day, however our school is always on spring break on March 14th so I don't get to celebrate it with my students. This year I thought I would do a round-up of Pi Day activities and try to share ones for different age groups since much of what I see are for younger kids and I teach high school. Be sure to start your celebration with some pi jokes and riddles like these. Some of the Best Things in Life Are Mistakes shares a round-up of free Pi Day decorations! By the way Pi Day is also Albert Einstein's birthday. You can also have a birthday celebration for Albert!

Math Themed Calendars

 

Disclosure: I was sent these calendars in exchange for an honest review. All opinions are my own.

With the new year approaching I have to share something I am excited to add to my classroom. I am sharing two math-themed calendars or what I will call math themed. I have two page-a-day calendars that will work in my classroom. One is Origami Page-A-Day 2024 Calendar by Margaret Van Sicklen and Workman Calendars, and it will be perfect in my geometry class as well to enterain the kids who visit my room for origami paper. The other one is Original Sudoku Page-A-Day 2024 Calendar by Workman Calendars and Nikoli Publishing, and it is perfect for adding some problem solving and logic skills to kids. 

Bringing Origami to Geometry Class -- Product Reviews

 

Disclosure: I was sent these products in exchange for an honest review. All opinions are my own. 

One thing I love to do is bring origami into my classroom. Whether using the old patty paper methods to discover theorems and such or doing origami and perhaps an origami project to demonstrate using geometric terms or just to have cool geometric shapes around the room, I love adding origami. I actually have a box of origami paper in my room-- a boot box covered with Asian wrapping paper. Students come in all the time to have a piece or two just to create something for a relaxed moment. Today I am sharing a book full of geometry and geometric shapes all created by origami and two different packs of origami paper (which all will be added to my classroom supply). I have a shelf full of origami books and kits as well. The book is The Art & Science of Geometric Origami by Jun Maekawa. The packs of paper are Origami Paper 300 Sheets Vibrant Colors 4" (10 cm) and Origami Paper in a Box Japanese Washi Patterns

Math Mysteries: The Triple Threat -- Math Monday Book Review

 

Disclosure: I was sent a copy of this book in exchange for an honest review. All opinions are my own.

It is very rare to find a good math novel. I was once gifted The Number Devil: A Mathematical Adventure by Hans Magnus Enzenberger by a student's family. It is a middle grade novel, so I thought it was a bit strange (to receive as a high school teacher), but then I read it. I loved it. Unfortunately, it is out of print, and I loaned my copy to someone and never got it back. That is my biggest experience with a math novel. However today I am sharing a new math novel with you. It is not a fantasy as The Number Devil, but it has some great math in it and it is explained in ways that kids will be able to understand. The book is volume 1 of the Math Mysteries series. It is Math Mysteries: The Triple Threat by Aaron Starmer and illustrated by Marta Kissi. It is recommended for ages 8 to 12. 

Math Monday -- Parent Graph Transformations Lessons

 


The start of this year is tough. My schedule is tough. I teach straight through on Mondays, Wednesdays and Fridays with only lunch as a break. I have two prep periods on Tuesdays and Thursdays, but they are usually spent giving extra help to students. Our school requires teachers to be there from 7:30 to 4. School goes from 8:15 to 3:15. I have to say the extra time until 4 is a waste for me because my brain just needs a break before I can really think or function on work. I often have to wait until after dinner to get any more work done. As a teacher I feel it is a little ridiculous for any school to have set hours for teachers besides the required ones when the school is open. Teachers by nature will do the work they need to on their own time. We are not teaching because we want to be rich or famous. We teach because we want to teach and be with the kids. After three weeks in, I'm still getting use to the schedule and figuring things out.

Origami Animals and Origami Paper Review and How I Use It in My Classroom

 

Disclosure: I was sent these products in exchange for an honest review. All opinions are my own.

I am heading back to school for teacher training and the pre-school year prep. One of the things I always have in my room is origami paper and books. I use them with my geometry classes and pull them out during breaks and students come in to get some when they need a break or something to do with their hands. Today I am going to share with you an origami kit and three packs of origami paper which I will be adding to my classroom collection! We will start with the kit which is Fun with Origami Animals by Sam Ita. It is recommended for ages 6 to 10. I would say it is perfect for beginners no matter the age.

Back to School...Classroom Decor, Things I Learned and Free Resources

 


It was very different teaching last year versus when I left teaching 17 years ago. So much has changed from technology to expectations. When I taught previously every high school used Geometers' Sketchpad and now there are free and easier to use programs like GeoGebra. Graphing calculators were a huge deal and it was hard to get students to buy them. We actually often had a class set or at least a few for the ones who could not afford them. Now if they do not have the calculators, they can use online programs like Desmos. Although I did not permit Desmos during tests since it was too hard to monitor what they were really doing on their devices with online searches and such. I discovered I liked Desmos better for some things because of the ease to use it. However, I still teach kids to use their graphing calculators because they are able to use them in standardized testing like the SAT and ACT. 

Spatial Math for Little Ones -- Two New Books

 

Disclosure: I was sent copies of these books in exchange for an honest review. All opinions are my own.

Fractal Tree -- Geometry Class Project

 


One of my goals this year is to bring fractals into my teaching, especially in geometry class. Today I am going to share the fractal tree. It can easily be done on a computer but is also great for practicing measuring with a ruler and protractor. Now a fractal tree is probably one of the most basic fractals and well-known or at least its cousin, the fern is certainly seen as a fractal. 

Geometric Origami Project -- Origami Bunny Balloon Tutorial with Geometry Terms

 


In geometry class we have been talking about the special segments in triangles. It is the perfect time to introduce my origami project. To start I shared a tutorial with them making an origami bunny balloon. I use terms from our lessons like median, midsegment, angle bisector and more throughout the tutorial. The kids make one with me in class. Then I give them my assignment. The kids enjoyed spending the class trying different origami projects. You can watch my tutorial here. I love that I am making an origami bunny balloon when lunar new year is going on and it is the year of the rabbit in Chinese Horoscope. 

Transform -- My Word for 2023

 


In 2019, I started picking a word for the year. I find the word helps me focus on something for the year. Last year my word was positivity because I really felt like my life needed more positivity. The year before it was inspire. I have also picked connect and flourish. This year I tried to think about what word I wanted and where I wanted to focus in my life. I was thinking I wanted something to do with my teaching. I thought of prosper, resolve, and thrive, but they didn't feel right. I saw a display at our local mall with "JO" in greens and you stand as the "Y". It is put out for the holidays each year. I thought about choosing "joy". Again, I wasn't completely sure. I tried a couple of word of the year generators like this one over at Mama Smiles. I tried hers twice and came up with transform and reflect. 

Congruent Triangle Gazebo -- Geometry Class Project

 


One of my goals now that I'm teaching is to share some of the projects I am doing with my classes. Before break I was teaching my geometry classes the congruent triangle shortcuts: SSS, SAS, SAA, ASA, and HL (for right triangles only). In one class I assigned a congruent triangle project. I gave the kids the choice of building a truss bridge, making a gazebo, or making a congruent triangle picture that had at least five different pairs of congruent triangles (one for each shortcut) and they needed a page showing each of the pairs as congruent with one of the shortcuts or needed to mark them in their drawing. Most of the kids picked the drawing. I wasn't in love with the gazebo tutorial, or the gazebo made in it so I thought I would make my own. Today I am going to share my gazebo as well as a project sheet to assign it. (I am still deciding if I am going to assign it to my other class or not as they are about half a chapter behind the other one.) 

Christmas Fractal Lesson

 


Over the years I have shared my love for fractals with you. I began with my introduction to frozen fractals after Elsa sings about them in "Let It Go" in Disney's Frozen. A fractal is an object that has self-similarity, or each part looks like the whole. It introduces new ideas of symmetry, dimensionality, and more. Fractal geometry often explains some of the irregularities of our world. It can be a very complex topic to understand, but it is an important one. Fractals are making advances in our medical world, entertainment (movies, computer games and more) as well as science. There are some topics that kids even young kids can understand. Since they were introduced in Frozen, many kids have now heard of them. I feel it is important to teach kids about them and give them a true idea of what they are. 

Dollhouse Scaling Project -- Geometry Class Project

 


This weekend I found a mini-room box kit on clearance at a craft store. I picked it up and thought it would be great for my classroom when I teach ratios, similarity and scaling. It is 1/24-scale which is also known as 1/2 scale. The 1/24 scale means that for every 24 inches (or 2 feet) an object is in real life, the miniature will have 1-inch. All the dollhouses I have worked with previously have been 1/12 scale or sometimes called 1:1 scale. It is for every 12 inches (or 1 foot) a real-life object is the miniature will measure 1 inch. The kit was easy to put together though I did mess up the wallpaper on one piece.

Sierpinski Gasket -- Math Art -- Fractals

 


Today I am going to share some fun math art looking at a famous fractal--the Sierpinski Gasket or the Sierpinski Triangle. It is a perfect fractal to have kids create and goes well with geometry lessons. A fun way to introduce it and create it is the Chaos Game. Here is a video showing the Chaos Game with a triangle, square, and pentagon. With the triangle the Sierpinski Triangle will appear with enough iterations of the game. The rule as explained in the video is to begin with a random point. Then randomly choose a vertex. Connect your point to the vertex and find the midpoint. (Erase the line.) The midpoint is your new starting point. Repeat. This is a game you could easily play in a class as well. Don't watch the video first though. 

Pythagorean Theorem Fun -- DIY Mathematical Art

 


As I continue to think about my new job in September and plan for what I want to hang in my classroom, I am exploring the Pythagorean Theorem. The Pythagorean Theorem is probably one of the most well-known or well-remembered theorem in math. It is often taught in both algebra and geometry. In algebra it lends to working with exponents and roots and in geometry with triangles. I have seen memes saying how people did not use the Pythagorean theorem today, but I have also been told by many people that they have used it in their lives from building a new deck and woodwork to programming and more. Although math has real life applications and was mostly discovered to explain the world, much of math is taught to help develop the brain of our children. In high school the brain is just beginning to truly develop its logic skills and math is huge in helping with this. The Pythagorean theorem also is mentioned (incorrectly) in the Wizard of Oz. Yes, it is this famous!

Although it is named for the Greek mathematician, Pythagoras, it was known throughout the world before his time. It is referenced in Ancient Egypt and Babylon (around 1900 BC). Apparently, it did not become as well known until Pythagoras stated it. There are many proofs of this theorem and some of them like the one below is a visual proof.

Origami for Geometry Class with Marbled Patterns Origami Paper

  


Disclosure: I was sent a pack of this origami paper in exchange for an honest review. All opinions are my own.

As I mentioned I am returning to the high school math classroom in the fall! One of my goals is to bring more hands-on activities as well as projects to the class. One of the classes I am pretty sure I will be teaching is geometry. I am so excited to be back in the geometry classroom. I am hoping to use origami in the classroom and definitely want to have an origami project in the geometry class. This year's teacher did this, so I am working off her idea and adding my own spin. Today I am going to share two origami tutorials all using a beautiful pack of Origami Paper 500 Sheets Marbled Patterns 6-inch paper. This particular pack of paper is being released in July 2022, but there is a similar pack of 200 sheets already available. 

Mathematical Art: DIY Fibonacci Spiral and My Big News

 


I have BIG NEWS!! My life is changing. After leaving teaching high school math sixteen years ago to get married and focus on family, I am going back to the classroom full time in the fall. Then on top of that news I have been helping out four days a week in the school's directed learning center since someone left at the end of April. My life has been a bit different, and you can tell by the number of posts I have been doing. This will mean some changes to Crafty Moms Share, but I am not sure the extent yet. I will change my focus to more math-based posts but am hoping to still review some books, especially math focused ones and young adult ones so I can connect with my students. I will also be doing more origami, so be ready for review of origami products. 

Origami Polyhedra

 

Disclosure: I was sent a copy of this book in exchange for an honest review. All opinions are my own.

I love teaching geometry. It is funny because I took geometry in summer school to get ahead in math. Eighth or ninth grade is when my math brain kicked in and I wasn't in the honors program. So, the summer after ninth grade I took geometry in summer school to get into the honors program. My own exposure to geometry wasn't great because of the rushed aspect of summer school, but when I started to teach geometry, I fell in love. Geometry is a visual math. There are so many things that lend to projects in geometry and origami is a fun way of exploring shapes and can be a fun enrichment to any geometry class. I have shared different products and lessons over the years involving origami and math. Today I get to share a book that teaches the ultimate geometry lessons with origami--the polyhedra!! The book is The Complete Book of Origami Polyhedra by Tomoko Fuse