One Dad. Four daughters. 9,393 worksheets... and counting!

# Multiplication Gets Visual!

Teaching multiplication can be a tricky endeavor. It really is one of those first arithmetic topics that move very quickly past finger (or toe) counting, so unless your little mini muffins have a truly solid conceptual understanding of what’s going on, much of the dinner-time discussion of this operation quickly deteriorates into what I’m sure to little ears sounds like a stream of random and arbitrarily large numbers.

Building arrays out of manipulatives is one way to help make multiplication concepts a little more accessible. So while I’m a huge proponent of memorizing those math facts, sometimes there’s nothing better than a visual aide to tie the idea down and give all that math fact practice a foundation somewhere.

That’s where these new visual multiplication worksheets come in. They’re designed to be the very first worksheets your third or fourth grade student encounters when you’re introducing multiplication, and they’re a great followup to those dinner discussions with rows of peas or Brussel sprouts, which may or may not get your kids begging to do math worksheets… You never know. Anyway, by showing an array of small wooden blocks and asking students to think about rows and columns, they provide a bridge between strategies like skip counting and multiplication.

Visual Multiplication Worksheets

Each of the arrays is a distinct photo of some small wood blocks, so building these was a bit of an art project. I hope you enjoy them, because Dad won’t be making too many other similar worksheets like this any time soon!

Regardless, I hope you’ll give them a try if you’re just starting on your multiplication facts. When you’re ready for more, be sure to check out the multiplication charts, multiplication tables, and of course all the multiplication fact worksheets as well!

# Rounding Worksheets for the Naughty Number Nine

I’ve had quite a collection of rounding worksheets and rounding charts on the site for some time, and they’ve provided great practice for my two oldest daughters. Just recently, however, my third grade daughter started a unit on rounding at school and an inappropriate right turn on the rounding round-a-bout had me pulling over to revisit these worksheets.

The steps to round numbers are pretty easy. Find the digit that corresponds to the place value you’re rounding, so for example if you are rounding to the nearest hundred, find the hundreds place. We typically call that the “target digit” or “target number” here. Then look for the next smallest place value just to the right of the target digit. If that second number is five or greater, round the target digit up, otherwise leave it alone, then zero out all the smaller place values. Sometimes you’ll hear the basic rounding advice rhymed as, “Five or above, give it a shove. Four or less, give it a rest.”

But, sometimes, when the target digit is a nine, we’ve got one teeny extra step that often gets rounded right out of the discussion. If we’re rounding up a nine, that place value actually becomes a zero and the next larger place value gets incremented. In effect, we’re carrying or regrouping that rounding into the next lane. It’s a trivial step, and usually we’ve covered addition with carrying already so it’s an easy point to miss in your explanation of the process.

That is, unless you’ve learned rounding completely algorithmically, which unfortunately, seems to be what poor daughter #3 has done. So we’re back to doing a little bit of number line examples in conjunction with these new rounding worksheets that feature quite prominently potholes on the road in the form of that naughty number nine.

I hope if you’re on the same road these worksheets get you out of the ditch.

# Are You Ready for These Logic Puzzles?

Well, the school year is in full swing and we’ve just entered the fall season in the northern hemisphere. Anyone tired of math drills yet?

I’ve had a nice collection of missing number and missing operation puzzles on the site for some time, but given the popularity of the many types of number logic puzzles you probably knew it was inevitable that I’d be making sudoku, magic squares and more at some point. So just in time to save you a entire season of math fact drudgery, I’d like to welcome you to the new logic puzzles page here at DadsWorksheets!

Printable Logic Puzzles

You will find a cool set of puzzles to start things out, including several variations of sudoku. You’ll find really challenging Samurai sudoku puzzles as well as a color sudoku for kids set that is a great way to introduce grade schoolers to puzzle solving as a coloring activity. And while these puzzles are principally targeted at kids, for you Sudoku masters out there I included a set of Evil Sudoku puzzles taken from a list of puzzles with the fewest possible clues that still insure a valid single-solution puzzle.

You will also find magic square puzzles and more as I continue to update this section with math-related puzzles for kids (and kids-at-heart.) Traditional logic word puzzles are coming soon… If you have any more ideas for printable logic puzzles, please let me know in the comments and I’ll see what I can do!

# Amazing New Fraction Worksheets Just in Time for Back to School!

I hope all of you have had a great summer! If you’re just returning to your math drills for the school year, I hope you’ll notice a big change around here at DadsWorksheets! I’ve been busy updating our worksheets starting with switching to PDF files, and a great deal of effort wehnt into giving them a more modern look and feel…

I’m especially pleased with the fraction worksheets… Not only do the new worksheets look amazing, but the answer keys show work with more clarity, adding a few extra steps to the computations to make some of the problems a little easier to understand. You’ll especially appreciate this when working with the multiplying fractions or dividing fractions worksheets, where solving those types of problems can have many steps.

As always, these worksheets show you how to cross-multiply fractions where necessary to get the answer. Cross multiplication is difficult to explain, but having fraction problems that illustrate the steps in the key can be a huge help for kids trying to see where their computations went wrong (or, if you’re an adult, I can tell you from experience they also come in handy more than you might think!)

If you’re starting 3rd, 4th or 5th grade, now’s the time to start learning fraction concepts and these worksheets are a great place to start… I hope you’ll print a few out and let me know what you think in the comments section below!

And if you find yourself doing (or explaining) lots of fractions problems, be sure to check out my visual fraction calculator…

Fraction Calculator

It’s another great tool for explaining fraction problems and seeing how to solve them!

I give up.

No really, I’ve had it. With HTML that is. We’re coming up on the 9th anniversary of DadsWorksheets.com, and as much as I’ve tried to ride the waves of changing HTML standards, print media style sheets, flexbox and every other solution to wrangling layouts, I’ve finally reached the conclusion that getting consistent printable output from a web page is a bridge too far.

So, dear friends, you’ll notice that over the last week or so I’ve converted all of the worksheets to PDF files. You’ll navigate to them just as you did before, but the worksheet display will be subtly different. Answer keys, where appropriate, are included in the files now. There’s a PDF viewer for each worksheet, and you’ll be able to print directly from the browser using the big “Print” button just as you always have, or alternatively you can download individual worksheet files by clicking the button in the PDF viewer’s controls. If you have trouble printing from the browser (and yes, I’m talking to you Safari), you can always fall back to downloading the worksheet PDF file and printing from Acrobat or another PDF application.

The good news is that this step will allow me much more control over the worksheet layouts. Right now many of the worksheets still look just like they always have, but I’ve completely updated the multiplication worksheets and the multiplication charts.

I think they look amazing, and I hope you do too.

You’ll find the content centered much better and with much nicer font presentation… Many of the problems are laid out for better readability, and I’m able to take full advantage of the page coming out of your printer. You can check them all out at the links below…

If you liked what I had on the site before, you’ll love these new worksheets! I’ll be updating the addition, subtraction, division and the other math topics over the coming weeks. Meanwhile, if these new multiplication worksheets or multiplication charts give you any trouble, or if you have any comments on the new layouts, please let me know in the comments below!

Meanwhile, thanks as always for using the site and helping make DadsWorksheets one of the best free math resources on the web!

# Stopping the Summer Slump

Are your kids at risk of losing over two months of math skills?

It’s 120 degrees here in Arizona, and we’re blazing through summer vacation even faster than you think… And along the way, every one is trying to avoid summer slide. No, I’m not talking about a fancy bit of seasonal playground equipment. I’m talking about the loss of knowledge that typical students incur over their time away from the classroom.

While many students who are motivated to read over the summer break will actually improve their English skills, students typically lose over two months worth of math learning progress over summer vacation. It can take a corresponding amount of time at the start of the new school year to get back on track. Many of these statistics come from the RAND Corporation, which has studied the effects of summer learning loss, as well how summer learning programmings can reduce or reverse these effects across various demographics. Harvard University has weighed in specifically on math learning loss and this post provides some hints at activities you might consider to help retain math skills over the time away from school.

But obviously, those two months of lost math learning is something we can address right here… One of the most important skills is math fact fluency. There’s a reason we practice math facts so rigorously… They are involved in nearly every math task you perform, and accurate instantaneous recall of math facts is a huge success factor in any other applied math skill your little geniuses will encounter. Keeping fact recall sharp is an easy way to stay ready for back-to-school!

If you’ve mastered addition and subtraction, summer can still be a great opportunity to introduce multiplication or division… Regardless of where you’re at, you’ll find all the practice worksheets to keep busy through the summer below!

And of course, I’d be completely skipping the fun part if I didn’t mention again the awesome Math Flash game I just developed. You can choose what type of math facts you want to work on, then the game will work drill you on harder problems at each level. If you miss facts, it repeats them so you get extra practice and with Google Chrome, you can use your voice and a microphone to give those tired fingers a break…

Regardless of how you plan to turn that summer math slide into a climb up the monkey bars, I hope your vacation is filled with lots of fun!

# Whoops! Missed Answers on the Bullseye Worksheets…

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!

Bullseye Subtraction Facts Worksheets

Bullseye Multiplication Facts Worksheets

Bullseye Division Facts Worksheets

# Why Learning Long Division is so Important

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.

Long Division.

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.

Of course I wouldn’t be a good dad if I didn’t offer directions! I’ve had a collection long division worksheets with detailed answer keys on the site for quite some time, and they’re actually some of the top ranked math worksheets on the web.

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….

Long Division Calculator

I hope you’ll give it a try yourself and share it with anyone you know that’s learning or teaching long division… It’ll go a long way towards paving that road towards future success in math.

# Roman Numeral Worksheets… You know, for when you’re in Rome…

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!

Roman Numeral Worksheets

# Something New for Your Multiplication Tool Box!

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.

Until now that is!

Multiplication Table Page

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!