We spend a lot of time focused on multiplication tables, and getting past the stages of memorizing math facts is an important milestone. By the time we are working with multi-digit problems, we’re starting to deal with algorithms, the series of steps, necessary to solve problems. Fortunately, learning multi-digit addition and multi-digit subtraction, even with regrouping, is usually achieved without too much difficulty.
The steps for multi-digit multiplication require are a bit more demanding… In fact, it has all the fun of multi-digit addition on steriods right along with the twists multiplication brings as well. However, I’ve got a great tool that should take away some of the long multiplication anxiety…
This calculator will let you multiply two long numbers together, and it shows you the intermediate products as it goes. Put a couple of numbers in there and hover your mouse over the work produced by the calculator… You’ll see what parts from the multiplicand and the multiplier are used to create each step, and it clearly shows how the place values are preserved as we work through the multiplier digits. It’s a great tool for developing an understanding of the conventional steps for multi-digit multiplication.
Well, many thanks to DadsWorksheets.com visitor Tracy for pointing out that I had missed the target by a mile on the latest version of the bullseye math facts worksheets! While the worksheets themselves were fine, the answer keys had the answers repeated in each ring. As if memorizing these math facts weren’t hard enough as it was.
Regardless, if you haven’t had a chance to check these worksheets out, they’re a lot of fun and put a slightly different spin on memorizing your math facts. And they’re easier to grade now too!
There are many milestones on the road through grade school math, but one in particular marks an especially significant destination. It’s the motherlode of arithmetic, a recipe with so many of the previous numerical ingredients from so many previous grades, a mountain of math skill awaiting its ascent, a task requiring the flexing of a mixed metaphor of mental muscles like no other.
And also, the one thing that strikes terror into a math-phobic 4th grader’s heart like the threat of a missed recess.
But does long division really need this huge build up? Is it really that much more difficult than, say, multiple-digit multiplication? Yes and no.
Long division is certainly a test of many different skills, but they are all ones that should be largely rote by the time long division is introduced. I believe the main issue that brings tears and seizures when long division pops up is essentially a lack of confidence in basic math facts. Learning the long division algorithm is a little daunting, but it’s a small step if the prerequisites are truly mastered. And so, let me just say it again… Drill, baby, drill.
That said, why is long division such an important rite of passage?
The four basic steps in long division (partial division, multiplying, subtracting, bringing down) all incorporate concepts ranging from basic operations and place value to simple numerical algorithms. These skills mimic a lot of what later, more abstract, math looks like. I’m staring at you algebra, hiding there around the corner.
Long division is the arithmetic skill that most closely resembles the mechanics of tasks in algebra, trigonometry, calculus and more. It requires doing several basic operations in a particular sequence, thinking about their results, trying intermediate solutions (especially with multiple digit divisors), backtracking and hopefully making sense of the process along the way.
This makes long division not just another skill to learn on the journey… It’s the first step down a completely different road.
I’ve also just created a long division calculator, and it’s one of the best teacher resources I’ve built on the site in a long time. Enter a divisor and a dividend, and it will work the problem in front of you, with remainders, in real time, and it provides guides that show where all the numbers come from. Trying to get across where that intermediate product comes from in that jumble below the problem? Watch the calculator run its course, then put your mouse over the digit in the quotient to highlight it and the product. It really is useful and it was a lot of fun to build….
Roman Numerals are one of those skills that seem unimportant until you realize you how often they show up all around you. You’ll see Roman numerals on everyday objects like clocks or buildings, but students progress into the science or law related subjects, you’ll start seeing Roman numerals showing up all over the place. Because of this, learning to read Roman numerals is a skill every student should be exposed to in the primary grades.
I’ve added a bunch of great Roman numeral resources to the site, including this Roman numeral converter and these Roman numeral charts. The Roman numeral charts are a great reference tool and include the rules for Roman numerals, so they could make the basis for a Roman numeral unit in the classroom.
But of course, you’ll need some worksheets for practice and assessment! With that in mind, here’s a collection perfect for your little Centurions to work on!
Radians or degrees, fractions or decimals… There are a lot of places in math (and definitely in other topics) where you can make a case for representing measurements in different forms.
But Roman numerals versus Arabic numerals, there you’ve got a much more compelling argument for letting the sands of history wear away at this 2,000 year old numbering system whose main claim to fame seems to be keeping track of how many times a certain prominent football game has been played (51, or Roman numeral “LI”, as of this post in case you’re curious.) Go ahead and disagree with me, and I’ll be assigning you some Roman numeral multiplication worksheets… We’ll see who gets the last laugh there!
Still, Roman numerals pop up in a number of odd spots unexpectedly and that makes at least knowing how to read them a necessary skill. You’ll bumble across them on traditional analog clock faces, page numbers for those pesky prefaces in books, that weird outline mode in Microsoft Word, and the “IV” at the end of your buddy’s name when his parents, grandparents and great-grand parents couldn’t think of a new first name besides “George” when the baby came. Any place where somebody wants to lend a certain historical gravitas, there too shall ye find Numeris Romanis.
So, learn them we must, but that doesn’t mean the process can’t be at least a little entertaining! This visual Roman numeral converter will help untangle some of the unusual nature of Roman numerals. It breaks down the more confusing parts of adding and subtracting values associated with Roman numeral digits making it a fantastic learning tool, and kind of fun to just play with…
We love multiplication charts here at DadsWorksheets, and whenever we get a request for more, I’m happy to oblige!
While the multiplication chart 1-100 is by far the most popular version on the site, and there are several charts with products going up to 15×15=225, I’ve had a couple of people suggest we could go big. Really big.
Let’s be honest, getting a 100×100 table onto a single printable page isn’t an easy task, and it took a bit of work. Still, every multiplication fact is legible and there are shaded guides at the x10 facts horizontally and vertically to help keep you from getting dizzy. Also, the perfect squares are identified.
It looks a little rough on the screen, but trust me… Printed, this multiplication is artwork suitable for framing! Or at least worthy of inclusion in your math notebooks!
When you’re learning Roman numerals, a Roman numerals chart is a great way to check yourself when tearing apart those tricky strings of X’s, V’s and C’s. Even if you’ve developed some proficiency with Roman numerals, often a chart is a great way to lookup values rather than go through the mental gymnastics required to turn a year into a Roman date. You can bet whatever guy whose job it is to cook up those copyright dates in the movie title credits is using a chart.
That said, several versions of the Roman numerals charts here include also the basic Roman digits along with rules for reading Roman numerals. When you’re trying to get the mechanics down, these charts provide the best of both worlds. They’d be a great addition to your Latin or Classics folders!
Just when I thought the holidays had passed and there wouldn’t be any more presents until birthday season roles around, the denizens of the home school universe dropped a few surprises on Dad’s virtual doorstep.
Our long time friends over at HomeSchool.com have again named DadsWorksheets as one of their top educational websites for the year, and I’m proud to be in the company of so many other amazing online resources for teaching math and an encyclopedia of other topics.
And over at HomeSchoolBase.com, we made both their 100 best sites of 2017 as well as their top 10 list for worksheet resources! A double honor! HomeSchoolBase is a relatively new place to visit, but they already have a library of great articles and resources.
Both HomeSchool.com and HomeSchoolBase.com are fantastic resources for finding materials for home or classroom use. Check them out! Click either of the images above to go to their Best of 2017 lists. Then get right back here for your math facts worksheets!
Thanks to both of these sites for recognizing DadsWorksheets and Happy New Year, Everyone!
Have you ever wondered EXACTLY how old you are? Or how close you are to your next birthday? Or exactly how far apart in age you are from someone you know? Or whether your 52nd birthday is going to be on Monday or a Tuesday? Come on. You know you need to know.
These are fascinating questions, not just for kids but adults too. While you and I may be hoping our birthday is just a little further away while at the same time our kids are literally counting down the days before they get to rip open more presents, our fascination with dates is the same. We all want to know when and where the time goes and how long until we get there.
Enter the new Age Calculator! Give it a spin and it’ll tell you the answer to all of the questions above, plus provide facts like what day of the week your birthday lands on (past, present and future), your astrological sign and more. Hover the cursor over the events in the calculator and you’ll get more details about each individual event, and you can use the arrows at the top and bottom of the display to scroll the calendar forward and backward in time to see more events.
If you make a selection in the lower part of the Age Calculator, you can look at other age-related events. Ready to settle that whole, “I’m so and so months older that you, so I know better than you…” argument definitively? Want to compare your age to a friend? Or your brother or sister? Or, (at your own risk) your spouse? Try the “Friend’s Birthday” function in the calculator and you’ll be well armed.
Curious about the next U.S. Presidential Election? The calculator will tell you when it will happen, and whether you’ll be eligible to vote or not. And, for future elections, I’ve taken a stab at a few possible candidates. I mean, up until the robots take over everything, at that point I’m not sure we get to vote anymore.
Want a quick and easy way to see how much money you need to save, and how much that money is worth in today’s dollars? The “Savings Calculator” function will let you specify an amount, investment frequency, rate of return and inflation rate. You can get a detailed breakdown of the investment over time by hovering over dates in the calendar part of the calculator, but you’ll get a ten year summary right in the age calculator’s display.
No matter what you use it for, this Age Calculator is a lot of fun to play with. I hope you’ll use it with your kids to talk about ages, birthdays, calendars and this whole passing of time thing. If you use it in your classroom, drop me a note in the comments and let me know what you did and how it worked for you, or if you just found it interesting please share it with your friends!
And all I want for Christmas is for you bloggers out there to post a link to this fun new tool! 🙂
My collection of multiplication charts has become one of the most popular collection of multiplication printables on the Internet, but several of you have said, “Hey Dad, where are the multiplication tables? And I haven’t had a good answer.
Multiplication tables focus on a single set of facts, for example the times 12 multiplication table lists all of the individual facts that include 12 as one of the multiplicands. Because the facts are presented in order, they make a nice bridge between skip counting and memorization.
The multiplication table pages at the link above include versions that are suitable for reference sheets (with all of the facts solved), but there are also versions that don’t have answers (multiplication table worksheets essentially).
These multiplication tables print beautifully, and there are versions in color and B&W for each printable. You’ll find multiplication tables that have multiple fact families on them (like the multiplication table shown above), or “singles” that have exactly one multiplication table per page for a specific set of facts. Those single table pages have interesting number facts on them, which can make them a nice overview page if you’re using a “number of the week” approach to introducing multiplication facts in the classroom.
No matter how you’re tackling multiplication, I hope these help! If you like them, please consider sharing them with other teachers or parents you know via social media, or linking to the multiplication table page! Your help getting the word out there means a lot to me!