Calculus Video Tutorials

http://www.integralcalc.com/

As I was studying for the forth test in Calulus 1, I found this site which seems to be an excellent resource of video examples and tutorials.  The tutorials cover topics through Calculus 2.

The videos for calculus 1 cover many types of examples.  I will definitely be using these for further clarification and practice.

Geometry: Two Column Proof Practice

Prove It! Practice

Two column proofs (along with the other types of proofs) require two things:

1) Familiarity with definitions and theorems
2) Practice drawing conclusions using these

This site provides guided practice for you to build your comfort with the logic based concept.  Prove It! provides a significant number of general proofs that range in difficulty level.

My BEST recommendation as a former geometry student who struggled with these and NOW as a geometry math teacher who understands what is involved is to practice.

Good luck!

Imaginary Numbers

Imaginary Numbers Tutorial



As I was studying to take a trigonometry test so I can take Calculus this semester for fun (crazy, huh?), I found this site.  It is a quick run through of the imaginary (complex) number rules. 

What I found helpful was the practice problems.  The answers are hidden until you pass the mouse over them and then they appear.  Quick, easy problems that allow a student to reassure themselves that they get it.

This site also offers iPhone and Adroid apps.

Khan Academy (Videos and Practice)

Practice Problems Link

Practice Problems for ALL math levels

Khan Academy has two main resources which are amazingly extensive.  This link provides access to problems of all levels of math concepts by topic.  There are TWO ways to search:

1)      There is a scroll down list on the left of the screen that you can use to find any concept you are looking for.  Be sure to click “show all” at the bottom of the list to have full access.  Once you find the concept click on the name and you will be directed to the first practice problem.

2)      A concept map is located on the right of the screen and can be used just like Google Maps.  To search for the main idea click the screen and move it up or down.  As the map moves “south” the math topics becomes more advanced.  Once you find the “main idea” you need, then scroll in and out using the zoom scale on the left.  Zooming in will reveal more specific categories within a context.  For example: Functions is visible from the main screen, once you zoom in, topics such as domain and range of a function are suddenly visible as well.

Be sure to check in advance because these practice problems are not super simple.  I’m incredibly impressed by this format.  It’s thorough and well organized!

The available concepts range from “Telling time” (early elementary) to Calculus (High School Seniors).  There is also a statistics and probability section that goes beyond basic pre-algebra concepts. 

Video Tutorials Link

Example/Tutorial Videos

Khan Academy also has an extensive list of video tutorials.  The videos are broken up into specific steps so that you can search for a particular example of a type of question.  This can be helpful for a TEACHER wanting to demonstrate a specific process using additional perspective, or a STUDENT who needs a refresher on how to solve a homework problem. 

The videos may be searched by course subject under “Math” and then by topic within each course. 

As with anything, some videos are better than others and are a better use of classroom time than others. 

*Disclaimer: I am learning how to add pictures into the blog.  Please don't judge the screen shots. 

I WILL get better at adding them in the future!





Integer Operations Flowchart

Integer Operation Rules Flowchart



Integer operations are HUGE in math because once you learn them, they DON'T go AWAY!  In fact, I have known many an 8th grader to get these rules confused and make mistakes that mess up the rest of their work.  So, getting these correct is very important for middle school students.

This flowchart will help organize the rules in a concise manner.  It's dangerous to teach students to only change a subtraction sign, because in high school that doesn't always work the same way (think distributive property!)

You can use this as a quick reference for students who need to practice perfectly. 

Cool Math- Algebra

Algebra Lessons at Coolmath.com

Coolmath Algebra is a colorful site that covers an extensive list of algebra subjects.  This resource is best used as additional notes/examples for a topic covered in class or advanced reading for one to be covered in class.  The algebra site is organized by big topics such as exponents, polynomials, factoring, solving equations, functions etc.  After you choose the "Big Topic" then you select a specific example within. 

For example . . .
Big Topic: Functions
Specific Example: "What's a Function Intro"

It's set up like a textbook with chapters and sections.

Each section goes through an explanation of one example or more and then guides you to practice problems at the end.

This website is thorough and provides an alternative approach.  Sometimes students need another way of seeing a process before it will click.  Therefore, this is a great study source.

By the way- there is also Coolmath for Pre-Algebra, Pre Cal and Calculus, a math dictionary, puzzles, math games and math lessons by course. 

Integer Operations Game

Integer Operations GAME!



This is another wonderful resource that is FREE!
Any student in grades 6-8 can find a topic to practice while playing a game.  The integer game works multiplication and division facts with the integers thrown in to the mix.  As a teacher, I LOVE the way the game forces the student to think and there is IMMEDIATE feedback.  They have a few options to choose from, but only one is correct. 

The wonderful thing is that there are MANY more to choose from.  I will post the XP Math link on the pre-algebra site as well for future reference.  This would make a great station, enrichment activity or homework help.  Kids love online games- lets give them a brain work out in the process!