Showing posts from September, 2016

A visual tool to illustrate fraction multiplication

This tool allows you to VISUALIZE fraction multiplication ...and other fraction operations, but I think it's especially useful for fraction multiplication.

Many students (and adults!) miss the notion that conceptually, we can think of fraction multiplication this way:

1/2 × 3/4 can be seen as HALF of 3/4... which is 3/8.

Or, 5/6 × 1 1/2 can be thought of as 5/6 OF 1 1/2 , which is 1 1/4.

This interpretation (called "scaling") gives a very simple meaning to this operation, and it is especially important because it EXTENDS to decimals and percentages:

You see, 1/2 × 3/4 can be written as 50% of 3/4 =  50% × 3/4 = 0.5 × 3/4 = 0.5 × 0.25.

Or, 5/6 × 1 1/2 becomes (about) 83% of 1 1/2. Or maybe you turn it around and get 1 1/2 × 5/6 = 150% of 5/6. Being able to think FLEXIBLY of fractions/decimals/percentages really helps you (and your students) find all kinds of tie-ins with real-world situations.

Make It Real math workbooks

Make It Real Learning products are back at! 

Make It Real Learning workbooks each concentrate answering the question, "When am I ever going to use this?" The workbooks contain activities or problem situations taken from real-life, with real data. Some examples of the situations are: cell phone plans, autism, population growth, cooking, borrowing money, credit cards, life spans, music downloads, etc. etc.

As students work through the problems, they can use the math skills and concepts they have learned in their math curriculum (such as the concept of average or graphing), and apply those to a situation from real-life.

=> Read more here

 Check out also the FREE samples and try the activities with your students:

Samples from Activity Library, Volume I
Samples from Activity Library, Volume II
Sample of States by the Numbers series: North Dakota

Free video lessons for decimal arithmetic

Decimals, decimals, decimals... math curricula spend a LOT of time with decimals in grades 4-6. And yes, a lot of it is necessary.

But perhaps your child can grasp the concepts quicker with these videos, and then be able to progress faster and easier. Decimal division in particular can be a stumbling block.

So, check out my new videos and bookmark the page for later use!

Substitutions for the word "very" + adjective

I know this is off-topic but I enjoyed glancing through it and it might very well benefit and be of interest to your students... so here goes. :)

It's a list of 128 adjectives you can use instead of "very" and some weak adjective, and comes from a company that does professional proofreading:

Visual tool - find all the factors of a number

Here's a nice factoring calculator that lists all the factors of a given number and also gives a neat VISUAL that pairs the factors.  You could use it to show your children/students some examples, and then of course let them PLAY with it! :)

See for example factors of 72, And all the factors of this large number.

Personally, I think it could be improved by listing the factors in order from 1 to the number itself, so that the pairing will then show how the largest and the smallest factors are paired, then the 2nd largest with the 2nd smallest, and so on. Neat anyway!

Probability games

Here's a REALLY NEAT collection of interactive activities & games for basic probability concepts. Great for middle school!

For example, you get to experiment what happens to the probability distribution when a die is biased. Just roll the die 100s or 1000s of times at one push of a button and see the distribution. In another activity you need to figure out IF a die is biased or not.

Then the collection includes games that are based on the probabilities of obtaining different sums or differences with two dice.

Or, you get to fix a match box machine that is producing too much variation in the number of matches per box. First you take lots of samples and analyze the situation using boxplots, and then you adjust the machine. That's how things are actually done in real-life quality control.

 Here's the link again: Interactive probability games. Check it out!

FREE Algebra 1 curriculum online

I stumbled upon a site that has a complete ALGEBRA 1 curriculum with interactive online exercises - all free!

I also added that link to my page that lists video websites and online curricula for algebra 1.

I highly recommend you take a look at some of the sites with VIDEOS for your high school students!

In today's world, ANYONE can learn math by using videos - and there are lots of them, so if one teacher's explanations don't quite click, then watch some more from other people -  getting a bit wider perspective usually helps. :)

Sale on Math Mammoth printed books!

Math Mammoth printed books are on sale at Rainbow Resource Center! Get them now at 20% off! The sale lasts till September 15.