Tag: algebra

Yummy Math! Best Math Blog EVER

Kelly TenkelyLeave a Comment on Yummy Math! Best Math Blog EVER4678 views

What it is:  Yummy Math is an absolutely fabulous blog/site dedicated to helping students and teachers understand how math is relevant to the world.  What a great mission!  The blog was started 2 years ago…bummed that I am only JUST discovering it.  Brian Marks and Leslie Lewis are the creators of Yummy Math.  They have worked together to make an easy way for teachers to bring real-world math into the classroom.  Math (like everything else) should be taught within a context.  I believe this is key!  When understood in context, students can make connections to their learning and, as a result, really learn it.  The goal here is to engage students in math so that they yearn to reason, think critically, problem solve, question and communicate…in short: DO math!  Each week, multiple activities and ideas are added to the Yummy Math site.  This means that you are in constant supply of real-world math problems for your students to engage in.

Categories include:

  • Algebra
  • Data and Probability
  • Geometry
  • Number Sense
  • Sports
  • Holidays/annual events
  • Math and Science
  • Math and Food
  • Math and Social Studies
  • Math and Art
  • Movies and Entertainment

How to integrate Yummy Math into the classroom: You know that dry math curriculum that you feel TRAPPED by?  Yummy Math exists to free you (and your students) from the endless memorization and unconnected practice.  This is the perfect supplement to any math program.  Use these activities a few times a week to really get your students thinking outside of the (math) box.  These will stretch your students, and help them grow exponentially in their understanding of math and all of the cool things it makes possible.

These are not your typical “real” world word problems.  None of that, if train a is traveling north at x, and train b is traveling south at y what time will they meet? Garbage.  This is…what is the real cost of owning an iPhone 5?   or  The House of Representatives passed a law in 2007 to increase the efficiency of light bulbs, what is the real energy savings that can be realized with CFL and LED.  Not only relevant, but really interesting!

Tips: You know what is EXTRA helpful?  That Yummy Math has already done all the leg work to tell you which Common Core Standards these project are meeting.  Yes. They are awesome!

Leave a comment and tell us how you are using  Yummy Math  in your classroom.

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Algebra Lab

Kelly TenkelyLeave a Comment on Algebra Lab2194 views

What it is:  Algebra Lab may not be much to look at graphically speaking, but the resources here are pretty stupendous!  Algebra Lab was created by Mainland High School teachers in partnership with Georgia Southern University and a host of student assistance.  The site includes really well done lessons, activities, practice pages (online), study aids, glossary, and word problems.  Algebra Lab is like a free, living textbook.  It has enough substance to help students work their way through algebra, while understanding the connections to how that algebra is used in a practical sense.  I didn’t appreciate Algebra until I took physics and chemistry.  When I saw what those equations I learned were actually used for, I could appreciate the learning requirements in algebra.  Algebra Lab does a beautiful job of helping students learn algebra within a context so that they really get a grasp of what these numbers are doing.

How to integrate Algebra Lab into your curriculum: I have enjoyed watching the debate over Algebra unfold in the last year or so.  One side of the argument asks if it is really necessary that EVERY child be required to take algebra.  The other side argues that algebra has great thinking skills that it develops, it gives students additional tools to understand the world through math.  I’m not sure where I land on this debate.  I don’t know that I believe that algebra should be a requirement for every child, and yet I think that my exposure to algebra was valuable.  Maybe the debate just needs to be reframed…HOW should algebra be taught?  I’m all for things being taught within context.  If you can teach any subject in a way that sheds light on other learning it is valuable.  I love when students make the connections between something like ratios and a site like Miniature Earth.  They not only get excited about the math (yes, really) they see a purpose for wanting to learn more about how it works.  Sometimes I think our job of teachers is really to help students see the overlaps that occur in learning so that they can make connections and have a cause to want to dig deeper.

I digress…

Algebra Lab is a great resource for math (and non-math) teachers.  Here you will find lessons, activities, word problems and practice opportunities for students.  Students can directly access the site, or you (the teacher) can pull ideas out to use within any other teaching you are doing.  The site is great for students to explore on their own (blended learning algebra style) or with guidance from a teacher.  As a non-math teacher, I appreciate the way the site helps me think like a math teacher.  It reminds me how all of these pieces connect to other learning.

Tips: If you have a one-to-one setting, students can practice directly on the website for immediate feedback.  Very helpful!

***Want to do your part as a CHANGE MAKER in personalized education?  Check out, support and spread the word about the Learning Genome Project!

Please leave a comment and share how you are using Algebra Lab in your classroom!

Gooru: Fantastic new education search engine

Kelly Tenkely1 Comment on Gooru: Fantastic new education search engine4479 views

What it is:  Gooru is a education search engine for learning that helps teachers find standards aligned content and study guides.  5th-12th grade math and science topics are covered and include resources like digital textbooks, animations and instructor videos.  Gooru provides a place to connect with your worldwide personal learning network to share and ask questions.  Gooru is not just for teachers, students can use the study guides and self assessments to guide learning.  Based on the topics studied and the performance on self-assessments, Gooru begins to suggest resources and study guides to help gain mastery.

Gooru takes advantage of OER (Open Educational Resources) so that all content delivered can be accessed free of charge.

You can explore Gooru through resources, collections, quizzes, a standards library or a search engine.

How to integrate Gooru into the classroom: Gooru is a great step toward helping you personalize the learning experience for your students.  Use Gooru to find resources for your classroom and for individual students.  Invite students to create their own logins so that they can setup Gooru to be tailored to their specific needs.  As they study and take quizzes, Gooru gets “smarter” and begins to recommend content for them.

Gooru is ideal in a 1 to 1 classroom set up.  If you don’t have 1 to 1 access, much of the content can be shared using an interactive whiteboard or projector-connected computer.  Because of the nature of Gooru, it could be a great addition to the flipped classroom model.

Tips:  Gooru is currently in beta, sign up to help them test it out and make it better today!

Please leave a comment and share how you are using Gooru  in  your classroom!

Algebra in the Real World movies

Kelly Tenkely1 Comment on Algebra in the Real World movies8851 views
What it is:  The higher up I got in math, the less connection I could make back to it’s usefulness in real life.  I had math mastered in school, I could memorize the formulas and spit back out the steps to get straight A’s in algebra, geometry, calculus and even trig.  It wasn’t until I was watching the Social Network movie (as an adult) that I started connecting that higher math to purposes in real life.  That is a problem.  Remember the scene in the Social Network when Zuckerberg is writing algorithms on his window?  I saw that, looked at my husband in astonishment and whispered “I learned that!”.  I had NO idea that trig was actually used for anything.  Seriously.  That is why when I saw Algebra in the Real World movies on Karl Fisch’s Fischbowl blog, I knew it was a site that needed to be shared again.  Algebra in the Real World has mini documentary type films that show the ways that Algebra is used in a variety of jobs and real world scenarios.  Movies include:
  • Aquarium makers
  • Backpack designers
  • Designing stronger skateboards
  • Engineering faster bikes
  • First one in the ball park
  • The forester
  • Landscape architects
  • The Lundberg farms
  • Maglev trains
  • Reliable Robots
  • Roller Coasters
  • Saving the bald eagle
  • Solar power
  • The starshade
  • Structural engineering
  • The surface of Mars
  • Testing the robotic hand
  • The wind business
  • Windsails

Plenty of variety to help students with a variety of interests!

How to integrate Algebra in the Real World movies into the classroom: After seeing the Social Network, I wanted to go back to my high school trigonometry class so that I could connect the dots.  I always really appreciated my physics class because it gave meaning to the algebra classes that I took.  I like that these videos help to make connections between the equations students learn and their uses.  It is nice to have such a good mix of topics so that students with different interests and passions can find one that helps them make the connection.
These videos would be great to share with a whole class as the algebra topic connected with the video is introduced, at the beginning of the school year, or based on student interest level.  Use as an end of the year cap to connect what has been learned throughout the year with the use post classroom.
Tips: The Algebra in the Real World movies are available online or for purchase on DVD.

Please leave a comment and share how you are using Algebra in the Real World movies in  your classroom!

Thinking Blocks: Model math word problems with virtual mantipulatives

Kelly TenkelyLeave a Comment on Thinking Blocks: Model math word problems with virtual mantipulatives2965 views

What it is:  Thinking Blocks is a great find by @matthewquigley who was nice enough to share his find and let me take the credit (I may have made up that last part…).  Thinking Blocks lets students model and solve math word problems by using online virtual blocks to visualize the problems in new ways.  Thinking Blocks includes blocks to model addition and subtraction, multiplication and division, fractions, and ratios.  On the Modeling Tools tab, students will find modeling tool videos on addition and subtraction, multiplication and division, fractions, ratios, decimals and percents, and algebra.  These thinking blocks were developed by Colleen King as she worked to help her students in their Singapore Math program.  While the concept of modeling word problems with the blocks is most closely associated with Singapore Math curriculum, it can be used to support any math program and is especially helpful to use with visual learners.  Students can use virtual blocks to model known and unknown quantities.  By modeling in this way, students are better prepared for moving from arithmetic to algebraic thinking because they learn how to break complex problems into their simplest form.   The activities on the Thinking Block website includes guided and independent practice opportunities.  The tutorials can be used for guided instruction.  Videos show worked examples from each section (addition, multiplication, division, fractions and ratios.  Progress tracking is built-in (currently this is only per session but the site notes that sometime in September this should be included for multiple sessions).  The Modeling Tool lends itself to independent practice.  Students can choose from hundreds of built-in word problems or enter their own.  Dynamically generated models let students check their own work.  A full screen option is included for use on interactive whiteboards.

How to integrate Thinking Blocks into the classroom:  Thinking Blocks is a wonderful website for exploring and demonstrating understanding of word problems.  Visual students will be keen on the ability to visualize math in this way, using the virtual blocks to represent word problems.  Because Thinking Blocks addresses so many different math disciplines, it is a great way to differentiate instruction for students at a variety of levels.

Thinking Blocks can be used with the whole class using an interactive whiteboard or projector-connected computer.  Students can take turns working out word problems on the whiteboard while students at their seats work to arrive at a common solution.  Students at the board can “phone a friend” if they need a little extra help or guidance.

Thinking Blocks would make a fantastic center activity on classroom computers.  Students could visit the center to practice some word problems and record a reflection about how the blocks enabled them to visualize the problem differently.

Be sure to bookmark Thinking Blocks on school computers and let parents know to bookmark the site at home.  I suspect this site could be a life saver for MANY students (I would have been one of them!)

Tips: You can adjust the difficulty of each model by adjusting the numbers addressed before students begin an activity.

Please leave a comment and share how you are using Thinking Blocks in  your classroom!

Brown Sharpie: Mathematical Cartoons Inspired by Sharpie Fumes

Kelly Tenkely2 Comments on Brown Sharpie: Mathematical Cartoons Inspired by Sharpie Fumes3481 views

What it is: Math geeks, eat your heart out…Brown Sharpie is for you!  I found Brown Sharpie by accident today as I was perusing the app store in iTunes.  Brown Sharpie is a collection of “mathematical cartoons inspired by sharpie fumes” drawn by Courtney Gibbons.  Gibbons is an aspiring mathematician and the cartoons were created as she completed her undergraduate and graduate degree.  Many of the cartoons reference higher math and may be too complex to use in the k-8 classroom.  There are a few here and there that could be used with younger students with a little explanation.  High school, college math students and math geeks are the main demographic for these cartoons. The cartoons are shared blog-style so you can search through them using the “next” and “previous” buttons or you can view by tags using the “view by…” word cloud in the right side bar.

             

How to integrate Brown Sharpie into the classroom: The Brown Sharpie cartoons would be a fun start to math class.  Put a cartoon up on a projector-connected computer each day for a little math humor to kick off class.  The cartoons will give you the opportunity to discuss current math topics as well as give an introduction to math concepts not yet touched on.

Why not hold your own Brown Sharpie day?  Give each student a brown fine-tipped sharpie to create their own math cartoons?  These can be shared on a class blog, website or wiki.  This will help your visual learners and artists think about math in a whole new way!  Students of any age can create a Brown Sharpie cartoon of their own!

In addition to the blog, Brown Sharpie is also a free app in the iTunes app store.

Tips: Some of the cartoons are PG-13 with alcohol or relationship references.  Best to preview the cartoon before displaying before your class. 🙂

Please leave a comment and share how you are using Brown Sharpie in  your classroom!

Off-Road Algebra: Using off road motorcycling videos to learn Algebra

Kelly Tenkely1 Comment on Off-Road Algebra: Using off road motorcycling videos to learn Algebra2463 views

What it is: Off Road Algebra is a series of video resources focused on pre-algebra and algebra for ninth grade.  This Hot Chalk  unit centers around off-road motorcycle racing.  There are 30 related problems for off-road algebra, each with an accompanying digital resources.

Problem 1: Conversion between gallons and liters

Problem 2: Miles per gallon

Problem 3: Gallons per mile

Problem 4: Velocity x time = distance, Part 1

Problem 5: Velocity x time = distance Part 2

Problem 6 (not available)

Problem 7: Comparing decibels

Problem 8: (not available)

Problem 9: Slopes and Ramps, Part 1

Problem 10: Slopes and Ramps, Part 2

Problem 11: Playing catch up, Part 1

Problem 12: Playing catch up, Part 2

Problem 13: GPS Axis

Problem 14: GPS conversion

Problem 15: GPS distance

Problem 16: Mixing Gas and Oil

Problem 17: Margin of Victory

Problem 18: Lap Time Math

Problem 19: Trac Turn Angles

Problem 20: Number of Revolutions

Problem 21: Inside and Outside a Wheel

Problem 22: Choosing between mean and median

Problem 23: Cylinder Volume

Problem 24: Comparing the Volume

Problem 25: Graphing the Ride

Problem 26: Acceleration, Part 1

Problem 27: Acceleration, Part 2

Problem 28: Acceleration, Part 3

Problem 29: Calculating with the contact patch

Problem 30: Tire Aspect Ratio

How to integrate Off-Road Algebra into the classroom: If you have spent any time in a math classroom, I’m sure you have heard something to the effect of, “why would we ever need this in real life?”.  It is a good question.  Learning should look like life…after all, isn’t that the point?  Off-Road Algebra helps students understand how the concepts they are learning in algebra are related to life through the world of off-road motorcycles.  Math is more than just filling in the correct answer on a test. Math is everywhere and we need to help students see that.

These videos walk students through off-road motorcycling problems so that they can make the connections between the classroom and life beyond the classroom.  There is a printable PDF that you can download that has thorough explanations and answers for all 30 problems. You can also find a correlation between the math problems and standards.

Use these videos with your whole class using a projector-connected computer or interactive whiteboard.  Video is ideal for math because it gives students the ability to pause, rewind and replay as needed.  Using an IWB with built-in IWB software, students can annotate over the desktop to solve equations as the video plays.

The videos are a great alternative to the standard math textbook, offering video explanations of how to solve a variety of problems.  Students can use these to support work in the classroom or at home.  The videos could make a quick-stop center activity in the one or two computer classroom.

Tips: Be sure to check out Hot Chalks other real-world math problems.

Please leave a comment and share how you are using  Off Road Algebra  in your classroom!

 

PSToM: Parents, Students, Teachers of Mathematics

Kelly TenkelyLeave a Comment on PSToM: Parents, Students, Teachers of Mathematics2229 views

What it is: PSToM is an online portal for math classes.  With PSToM parents can follow their child’s progress and know exactly what their child is learning in math.  Students can learn at their own pace, assess their own learning and know how well they are doing in math (and why!).  Teachers can recommend math videos, know each students strengths and weaknesses and tailor classroom instruction to get more out of each class.  PSToM has built-in math problems with an area to solve them, math videos that can be shared, built-in tests and a place to discuss learning.  The site is simple but the learning possibilities are pretty incredible.

How to integrate PSToM into the classroom: PSToM is a fantastic supplement to the math classrooms.  PSToM makes it simple to create a blended classroom with online content, discussion and problem solving supporting what is happening in the classroom.  As a teacher it is easy to assign math videos and problem sets.  All data is collected and shared with students, parents and teachers.  PSToM is a great connection between the math classroom and home.  The mystery of the math classroom is taken out for both the parents and students.  Everyone knows what learning goals are being worked on, the progress and what skills need to be practiced.

Use PSToM as a supplement to your math classroom and to customize math lessons for your students.  Give students the opportunity to work on math at their unique learning level in a computer lab setting or as a center on classroom computers.

Tips: Be sure to tell parents about PSToM, it is a great way for students to get some extra practice and opportunity for understanding in at home.

Please leave a comment and share how you are using  PSToM  in your classroom!

On Demand Learning: Classroom Optional (Khan Academy and Academic Earth)

Kelly Tenkely9 Comments on On Demand Learning: Classroom Optional (Khan Academy and Academic Earth)2832 views

What it is: Tonight I was talking education with a fun group that is helping me think through my school design.  As we were talking one of the participants mentioned Khan Academy…some of the teachers in attendance had never heard of it.  I sometimes forget that not everything is common knowledge and even if it is common knowledge to most, there are still those who can benefit from the mention!  Khan Academy was started by Salman Khan quite by accident.  He tutored his cousins in math and when he moved away from them, they still requested support.  Sal began making algebra videos and uploading them to YouTube for his family, it has grown to over 2,100 videos and 100 self-paced math, science, and history exercises for students.  The library is extensive and comprehensive including algebra, arithmetic, banking and money, biology, brain teasers, calculus, California standards algebra, geometry, chemistry, cosmology and astronomy, credit crisis, current economics, developmental math, differential equations, finance, history, linear algebra, organic chemistry, Paulson bailout, physics, pre-algebra, pre-calculus, probability, statistics, trigonometry, valuation and investing, venture capital, and capital markets.  It is a pretty impressive collection!  I really like these videos because they provide students with on-demand learning and present the learning in a way that appeals to the visual and auditory learner.  The experience is so much richer than a textbook can offer. It is like having your own personal tutor.

Academic Earth is another extensive video library that lets students (and adults) take video courses from the worlds top scholars all in one place…for free!  The mission of Academic Earth is to give everyone access to a world class education.  Subjects covered by Academic Earth include art, architecture, astronomy, biology, business, chemistry, computer science, economics, education, electrical engineering, engineering, entrepreneurship, environmental studies, history, international relations, law, literature, mathematics, media studies, medicine and health care, philosophy, physics, political science, psychology, religious studies, test prep, and writing.  Students have access to the learning happening at Berkley, Columbia, Harvard, Khan Academy, Maryland, Michigan, MIT, Norwich, NYU, Princeton, Stanford, UCLA, UNSW, USC, and Yale.  Did I mention all of that learning is free?  I know, amazing!

How to integrate Khan Academy and Academic Earth into the classroom: Both Khan Academy and Academic Earth provide students with opportunities for on-demand learning in their areas of interest or their areas of weakness.  Students can use these resources to support the learning happening in the classroom and to fill any gaps that students may have in their learning.  Video is a powerful medium because it appeals to a wide range of learners and makes it easy to pause, rewind, review, and share that learning.

Khan Academy would be a great tool to use for the “Fisch Flip” where the homework is to watch the lesson on video and class time is spent on working through the problems together.  Let that sink in…makes more sense doesn’t it? Students get support where they need it most, in the follow through and practice of the learning.

Academic Earth provides students with the opportunity of pursuing their passions, getting a feel for what type of study they would like to pursue in a university, and support learning.

Do you have students that could use additional challenge and are constantly searching for more learning? Set up an extended learning center in your classroom where students who need that challenge can self direct and extend their learning by using Khan Academy or Academic Earth.

Tips: Khan Academy is a great resource to pass on to families, parents are often looking for ways to supplement and support the learning happening in the classroom.  Math in particular is a challenge as many parents did not feel successful enough in higher math themselves to help their children.

Please leave a comment and share how you are using Khan Academy and Academic Earth in your classroom!

Study Jams!

Kelly Tenkely15 Comments on Study Jams!6440 views

What it is: Scholastic Study Jams is a fantastic collection of over 200 learning resource collections. Study Jams are videos, slide shows, and step by step explanations for science and math that will have your students discovering everything from invertebrates to the water cycle and the rule of divisibility.  Each Jam includes a teaching video/step-by-step/slide show, key vocabulary, and a test yourself section where they can practice what they have just learned.  Each Jam also suggests related jams where students can expand their learning and dig deeper on a subject.  To be honest, this is more like the textbook of the future that I envisioned.  I love that each concept is introduced in the context of a story.  Students learn the concept from fun Study Jam characters and can pause and rewind the learning as needed.  In the test yourself section, students can check for understanding and receive immediate feedback on their learning.

How to integrate Study Jams into your curriculum: Study Jams is a truly incredible collection of learning opportunities for students.  Use Jams to introduce your students to a new concept, or reinforce learning.  In Math students can learn about numbers, multiplication and division, addition and subtraction, fractions, decimals and percents, algebra, geometry, measurement, data analysis, probability, and problem solving.  Each topic has several sub-topics for students to explore.  In science topics include: plants, animals, the human body, ecosystems, landforms, rocks and minerals, weather and climate, solar system, matter, force and motion, energy, light, and sound, and scientific inquiry.  Again, each science topic has several sub-topics.

Study Jams can be used with your whole class as an anticipatory set for learning using an interactive whiteboard or projector connected computer.  After viewing the step-by-step, video, or slide-show check for understanding by having your students complete the “test yourself” as a class.  This can be done with personal whiteboards where students write down their answer and hold it up, a raise of hands, or student response systems (clickers).  Use this as formative assessment to guide your lesson.  Study Jams can also be used as a center activity in the math or science classroom.  Students can visit the Study Jam as part of a larger group of related activities.  In a center, students can visit individually or in small groups and self direct their learning.  For those students who have already mastered the concept, they can view related Study Jams to extend their learning.

Study Jams is ideal for students in a 1 to 1 or lab setting.  Here students can explore at their own pace, pausing and rewinding as necessary.  They can also extend their learning based on their personal interests by choosing a related Study Jam.

Can’t find a Study Jam that fits what your students are learning? Ask students to create their own Study Jam video, slide show or step by step.  Students can use tools like Animoto, Voice Thread, or Domo Animate to create their own.  Students can create their own “test yourself” using a Google Form or survey tool.

Tips: I learned about Study Jams from someone in my blogging alliance (sorry I didn’t make note of who!) If you aren’t already following these amazing blogs, I highly recommend them (alliance #1, alliance #2).  I learn SO much every day from each one of them.  If I learned about Study Jams from your blog, leave me a comment so I can thank you here!

Please leave a comment and share how you are using Study Jams in your classroom!