Tuesday, Dec 24th 2024

Longevity Publishing Blog

My post today includes a post made Thursday, February 11, 2016 by a mom on a homeschool blog site, bit.ly/1pjJv2l. Please read what she has said regarding three of my math workbooks. (The review about the books is below in its entirety.)
“Learning the Facts
Just the facts, Ma’am! I can picture a policeman on a tv show from the 1950s saying that to a woman in an a-line dress at the front door with a pad of paper in his hands.

If it were only so easy! Knowing the facts, that is.

As a kid, the kinds of facts I learned were my math facts. I don’t remember ever having a hard time learning them. I just learned them. I can’t remember not knowing them. I also don’t remember my mom quizzing me on them. At times, I’ve wondered if my teachers all just gave us a magic pill that gave us the gift of knowing our math facts. No, not really. I know they didn’t really do that. But, I do wonder how I learned them.

For my kids, learning there math facts has not been easy. My children are all much more language oriented than number oriented. As a result, I have been on a quest for several years seeking keys to help unlock this box of knowledge for my kids so that they could acquire and use their math facts easily. I’ve found a few helpful resources over the years.

The first tool I found was xtramath.org. This was the key that helped my oldest daughter memorize and learn all of her facts for addition, subtraction, multiplication, and division. It worked very well for her.

But, it wasn’t the cureall that I hoped it would be for my younger two children. I modified the program and used the 6 second timed program with my middle daughter for addition and subtraction. But, her frustration level with the math facts led her to procrastinate and daydream when she was using the program so I knew I needed to switch gears with her.

I began using paper sheets of facts. She completed half a page a day. The more she used the facts the easier they became for her to recall. Time and repetition has helped. But, there were still a few facts that wouldn’t stick. So, I began searching again for another helper!

I found that helper in a book by Susan Greenwald, Five Times Five Is Not Ten. This book shares tricks on how to learn the multiplication facts up to 9s. At the beginning of the book, the author has

Five Times Five Is Not Ten: Make Multiplication Easy

included directions on how to use the book and there is a baseline sheet to record what a child has learned. I appreciate that the book is reproducible for the individual who owns the book so that I can recopy sheets for each of my children and I don’t have to buy a second book. What I found was that my daughter knew many of the facts in the book automatically, but that I could use the pages I needed for the facts that she needed a little extra help with. I like how the pages are formatted. Students have enough room to write the answer by each fact and there isn’t any distracting froofiness. This book has been very helpful!

In the case of my son, Ms. Greenwald’s book Two Plus Two Is Not Five, has been helpful to him. The book is structured the same as the multiplication fact book with directions at the front and a

Two Plus Two is Not Five: Easy Methods to Learn Addition and Subtraction

baseline sheet at the back. It is also reproducible (very important to me!). Before I used this book, I had been using subtraction fact sheets from a free online site. But, what I found was that the facts were added in too quickly. My son needed more practice and reinforcement. My son is making progress and I can see that his addition facts are coming along. This book’s worksheets are giving him that. He doesn’t have to use the tricks if he can memorize the facts for a given number easily, but if he needs the tricks–they’re there.

A child doesn’t have to learn all of the tricks. The tricks are helpful if a fact (or group of facts) aren’t sticking. It’s like looking at a wall that you can’t climb straight over. You need to get around, so you start looking around for another way. A few feet away you see big rock near the base of the wall that you can step onto and use to boost yourself up and climb over the wall. That’s the role of these tricks–to be that little extra boost your child needs to get over the wall when needed.

In connection with the books that Ms. Greenwald has put together to help children master their facts, she has also compiled a book of worksheets to work on addition and subtraction with regrouping (and without), Addition and Subtraction: Beyond Math Facts.

Addition and Subtraction: Beyond Math Facts

My son is working on regrouping with three digit subtraction in his second grade math book. It’s challenging for him, but I can see that he understands it. When we finish his second grade math book in a few weeks, I’m going to take some time to give him some extra practice with 3 digit regrouping before we move on. These worksheets will be perfect for him for several reasons. First, I can give him some easier sheets to practice with regrouping to the tens place. Then, he can review adding two 2-digit numbers and regrouping. Then, we can practice three digit addition and subtraction with regrouping. Second, the numbers are clear and easy to see. There is space for him to work above and below each problem (very important!). Finally, I appreciate the mixed practice sheets that throw in easy problems with the harder ones. I have found that it’s discouraging to students when every problem takes a lot of work. I’m glad to have this workbook in our Math arsenal.

The longer I teach and watch students learn math, the more I realize how essential it is for students to learn their math facts and know them by heart! I want my children to be able to focus on the new skills they’re learning in math each day and not get bogged down by trying to recall the facts… I’m thankful that I can see they are all making progress and remembering more week by week!

Please note that I received complimentary copies of these books by Susan Greenwald for review.”

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This post was first mentioned on my Longevity Facebook page. I like it, and wanted more people to have access to reading it. I often state that “Math is all around us in our everyday lives.” I put together a list of math activities you can use along with spelling. You will see that the variety accommodates for different levels of ability.

Look at the different ways to include math in this fun spelling activity for children. Choose one word, such as February, and have children write as many smaller words as they can using the letters from the given word.
Examples: rub, berry, bay, be

Math activities using addition, multiplication or subtraction:
A. List all the words by the number of letters in each word.

Two
letter words: be
Three letter words: rub, bay
Five letter words: berry

B. Multiply the number of words times the number of letters in that word to get a total for each in letter A.

1 word with 2 letters = 2
2 words with 3 letters = 6
1 word with 5 letters = 5

C. Total the number of points for each from B.
2+6+5=13

D. If you want to give a child even more of a challenge, assign point values for each letter.
Example: a= 1; b= 2; e= 5; f= 6
Have your student total up the points for each word.
Example for the word be:
The word, be, would be worth 7 points.

More math tasks using the points added up in D.
a. Have your children add all of the word totals for an even more challenging task.
b. Ask how many more points in one word than other.
For example: How many more points does berry have than the word be?

E. Sort the words by the number of syllables in each word.

One of the nice things about all of these ideas is that you only need to have paper and pencils, or an erasable board and wipe-off writing tools, or use a laptop, iPad or other electronic device.
Have fun, and post other math ideas to use with this spelling fun.

Are your students are still needing memorize math facts, be sure to check out our sample pages and read the testimonials. The multiplication workbook is still only $10.00 if you purchase'”scuffed” cover. With shipping, it is still less than the regular price!

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Longevity Publishing started out in 2006, and some people said we would never sell the original printing of Two Plus Two Is Not Five. Well, it’s not quite a full 10 years later, but the 7th printing of Two Plus Two Is Not Five arrived a few weeks ago. This workbook, which helps children really master addition and subtraction facts, is now one of four books that we offer. I also offer another addition and subtraction workbook which helps students learn to add and subtract larger numbers.

Tip: If your students do not yet know all the basic addition and subtraction (math) facts, and you need to teach addition and subtraction with larger numbers such as 389 + 65 or 96 – 28, then set up math problems using their known math facts.

For example, if your students DO know the “Magic 9” facts (9 + any number), doubles in addition and subtraction, and the “2 Ladder” facts (2+4, 2+6, 8+2, 10-2, 8-2, 6-2), then you could use the problems mentioned in the first sentence.

389 + 85 uses known facts 9+5, and 8+8. (Teach how to regroup 1s to 10s, and 10s to 100s.)
96-28 uses known facts 16-8, and 8-2. (Teach how to regroup from 10s to ones.)

Using known facts allows children to learn the new skill of regrouping without having to worry about counting on fingers to get answers to the math facts.

Addition and Subtraction: Beyond Math Facts, when used along with Two Plus Two, is structured to make sure kids learn more advanced addition and subtraction using only known math facts. This workbook also has word math problems, record-keeping pages, assessments, and guidelines on how to use the book.

Five Times Five Is Not Ten: Make Multiplication Easy is the workbook which helps children memorize the “times table” or the multiplication facts. It can be used along with Ten Divided by Five Is Not Five: Using Multiplication to Make Division Easy.  This workbook also has word math problems, record-keeping pages, assessments, and guidelines on how to use the book.

I also authored How to Teach Math Facts which is published by another company.

Have you used any of these workbooks? Please send your review to me so I can post online. If you have not bought the books, please read testimonials and try out the free sample pages!

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It’s always a good feeling when I hear from a parent-teacher educational supply store that they want to buy more books. Today, one owner said, “I love these books.”

I know my workbooks are excellent material to help students learn and memorize math facts. I have been using the strategies in them for so many years! There are testimonials from many parents and teachers who agree, but when I make that phone call to new stores to ask if the books have been selling, I am always a bit worried that I will hear, “No,” so I am always so glad when I hear, “Yes, and I need more!”

If my books are bought by educational or school supply stores, I want those owners to be happy with their purchase. It becomes a win-win for everyone:
The store owners, the parents and teachers who have an opportunity to see and buy these good quality workbooks, many students who will have carefully designed practice pages and numerous strategies for learning math facts, and for me!

Please let me know what you think about the workbooks. I would like to have some feedback from educators who have used the new division workbook: Ten Divided by Five Is Not Five, and for the workbook which covers adding and subtracting with 2-, 3-, and 4-digit numbers, Beyond Math Facts.

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There are three new testimonials from parents who have used Two Plus Two Is Not Five. Please view what they had to say under Testimonials.

Why did I write Two Plus Two Is Not Five and what makes it different from other math workbooks?
This 256-page reproducible workbook is for students of any age who need to learn to memorize addition and subtraction facts. You may find that some children begin to struggle in math once reaching the 3rd  or 4th grade, and most likely it is because they missed memorizing answers to the some of the math facts. For this reason, as an educator, I knew I had to find a way to help my students become proficient with math facts.

Math facts are “keys” to being able to do more complex math, just as letter sounds or phonemes are important to learning to read fluently.

It is so much easier to learn and practice math facts when presented with a visual or number sense strategy than to have to count out the answers, use a chart or number line to complete assignments on math facts.  Yes, math facts should be introduced with counters to make sure the students understand what the math fact means, but then they need a way to have recall without having to count out answers.

This workbook can be used for beginning students or with older students who have some mastery of the addition and subtraction facts. The record-keeping pages in the book allow you to see where to begin. Please view sample pages and try them out!

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While I was at the Christian Home Educators of Colorado conference, two different families stopped by my vendor booth to tell me that they were using Two Plus Two Is Not Five. I asked, and both were willing to write something for me about how they felt about the workbook. Here are the two testimonials.

We purchased 2+2 Is Not Five and have found it to be incredibly valuable to us. It gave us helpful tools to teach our children how to calculate math problems in their heads. Justin and Carla Neal (CHEC)

After having used one of the more popular math courses, I needed a bridge to allow my child to master his math facts. 2+2 Is Not Five was the bridge I needed. Thank you so much! Anna, Homeschool mom of four boys. (CHEC)

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Come visit Booth A-2 in Zone 5 at the Christian Home Educators of Colorado Rocky Mountain Super Conference on the Family

Denver Merchandise Mart
451 E 58th Ave
Denver, CO
June 18-20, 2015

I will be there to show you strategies from my books, and how Addition and Subtraction: Beyond Math Facts can be used with Two Plus Two Is Not Five, and how my newest book, Ten Divided by Five Is Not Five: Using Multiplication to Make Division Easy, can be used with Five Times Five Is Not Ten.

Learn my method for teaching math facts to children.
Purchase a book, and have it signed for your children!

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In my last post, I mentioned teaching my young granddaughter a card game called Golf. It has been a hit among my group of friends, and was easy to teach my 6 year-old granddaughter. She enjoyed playing, and didn’t realize she was using math to total her points and add on to her score. We played this for well over an hour on an airplane ride too!

The game can be played with 2-6 players. Use one deck of cards. Each player is dealt 4 cards face down per round. Play 18 rounds-hence the name, Golf.
Object: Score the least number of points
Card values: Ace = 1; 2 through 10 are face value (2 points up to 10 points); Jacks and Queens are each 10 points; Kings = ZERO!; A PAIR = ZERO!; Three of a kind = -5! (That’s minus 5); Four of a kind = – 10! (minus 10)
Note that 1 King = 0, 2 Kings= 0, 3 kings= -5, and 4 kings = -10
Therefore, Kings, pairs, 3 and 4 of a kind, Aces and low point cards are better than high point cards, Jacks or Queens.

After each round, the value for the 4 cards is added up for each person’s score.
Examples: Jack, Queen, 4 and Ace: 10, 10, 4, 1 = 25 points
Ace, Ace, 2, King: 0, 2, 0 = 2 points
8, 8, 8, 6: -5, 6 = 1 point

How to play: Each player is dealt 4 cards face down. The rest of the cards are in a pile face down and become the pile to pick from. One card is faced up, and that is the Discard pile. *Place your 4 cards in a square, and keep 2 cards close to you, and 2 cards farther away. You may peek at the 2 cards CLOSE to you, but NOT at the other 2.

Here’s where the fun, chance, and risk start!

1. At each of your four turns for this round, you may choose either from the face up discard or from the face down pile. You cannot look at the card from the pile and then change your mind. Once you pick from the pile, it’s yours for that turn to either keep or discard. Everyone can see this card because it will now become one of your face up cards OR you will discard it.

2. At each turn, you must also face up one card and discard one card. If you don’t like the card you picked from the pile, then discard it and you must either face up one of the two cards close to you that you peeked at, OR take a chance and turn over one of the two UNKNOWN cards. That card stays face up now, and may not be moved or exchanged again. If you are stuck with a high value card, you never know, you may get lucky and pick another for a pair! Or maybe you lucked out with a low-scoring card OR a match to make a pair!

If you like the card you picked from the pile, you can place it face up in place of either one of the cards you peeked at that you don’t like, OR, take a chance and place it face up in place of one of the UNKNOWN cards.

After seeing it, even if you LIKE that UNKNOWN card, once you decided you would discard it, you cannot change your mind and it is placed face up in the Discard pile. *You cannot peek to see what’s under the UNKNOWN before deciding what to do.

Or, if you say you want to keep an UNKNOWN, once it’s faced up, it cannot be exchanged.

At this point, the next player has a choice of taking your discard or picking from the pile. If the next player LIKES the discard, then it would be picked and turned over in place of one of her other face down cards. For example: Discard is a Jack. Player 2 knows one of the cards she peeked at is a Jack, so she picks it for a PAIR, and turns it over in place of another card-either an UNKNOWN or the other one she peaked at. Or, if Player 1 had discarded an UNKNOWN card and it happened to be a King or Ace, or other low card, Player 2 might want that because it has a low score value.

Play continues until all four cards are face up. Score is tallied and then another set of four cards are dealt, until 18 rounds are played. Lowest score wins!

Children will have fun adding up their four cards, and can total the running scores as well. It lends well to to teaching regrouping of tens and ones, and use of negative points and subtracting! My granddaughter wanted to tally my score as well.

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My 6-year-old granddaughter visited again in April. Besides having so much fun taking her to the zoo, Butterfly Pavilion, the movies, reading books, baking, playing outside, and doing arts & crafts, we also played a card game which required adding up points and keeping score. The cards’ values had to be added, and I was impressed that she was eager to count up both her points and mine. (I don’t think she realized she was doing mathwork.)

At one point, when she had to add 9 plus another number, I decided to show her the “Magic 9” strategy. I knew she could count it out herself, so now it was time for the strategy which would save her lots of unnecessary counting.

Magic 9:

9 + 8 and 8+9 . Look at the 9, then point to the other number, or 8 in this case. What is one less than 8? 7. The answer is 17.

9 + 7 and 7+9. Look at the 9, then point to the other number, or 7 in this case. What is one less than 7? 6. The answer is 16.

9 + 5 and 5+9. Look at the 9, then point to the other number, or 5 in this case. What is one less than 5? 4. The answer is 14.

9 + 2 and 2+9. Look at the 9, then point to the other number, or 2 in this case. What is one less than 2? 1. The answer is 11.

Magic 9 also works for 9+9, 9+6, 9+4, 9+3.

Important!
Show with counters first, and show that one less on the other number becomes one more on the 9 which equals 10. Students ought to know 10 plus a number. (10+1=11, 10+2=12, 10+3=13…)

Example: 9+4   x x x  x x x  x x x + x x x x
Take one x from the 4 and place it on the 9.
x x x  x x x  x x x  x + x x x
10 + 3 = 13.

Two Plus Two Is Not Five offers lots of strategies to help children memorize addition and subtraction facts!

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To see examples of sample workbook pages that introduce math facts using
the 2 Ladder strategy visit:
https://www.longevitypublishing.com/sample.pdf

IMPORTANT: Before asking children to memorize answers to math facts, be sure that they can demonstrate what the math fact means.

Once children can count by 2s to at least ten, teach them these addition facts:

2+4, 4+2, 6+2, 6+2, 2+8, 8+2

Tell them to think of going up a ladder with two feet. 2, 4, 6, 8, 10.
Draw a ladder and show the numbers going up by 2’s.

Ask: What comes after the 2 when counting by 2’s? 2+2 = 4
What comes after the 4 when counting by 2’s? 4+2 = 6
What comes after the 6 when counting by 2’s? 6+2 = 8
What comes after the 8 when counting by 2’s? 8+2 = 10
Let them discover that a number +2 is the same answer as 2+ a number.
(2+4, 2+6, 2+8)

Once the children are comfortable with these math facts, have them learn to count backwards by 2’s from 10.
10, 8, 6, 4, 2, 0
This will allow them to learn the related subtraction facts.
To teach 10-2, ask what comes under the 10 when counting down by 2’s on the 2 ladder.
For 8-2: What comes under the 8 when counting down by 2’s
For 6-2: What comes under the 6 when counting down by 2’s
For 4-2: What comes under the 8 when counting down by 2’s

View sample pages from Two Plus Two Is Not Ten: Easy Methods to Learn Addition and Subtraction.

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Testimonials

Longevity Publishing
This is such a great series. My special needs child used both the Addition/Subtraction and the Multiplication/Division books and mastered the skills by doing one lesson each a day. The lessons are relatively easy and progress the student very slowly and systematically. There was almost no frustration. We tried a lot of approaches, and this was the absolute best.
02/07/2022
Longevity Publishing Crane

Longevity Publishing

Longevity Publishing's books are perfect for differentiation. Lessons can be easily individualized for different learning abilities.

Parents, teachers, special education and math resource teachers, and homeschool educators will see that the clean design will appeal to both younger and older students.

If you are interested in any of our books for your school, catalog, retail or online store, please email Longevity Publishing for information: Info@LongevityPublishing.com.

Bookstores: Partners Book Distributing distributes our books too.

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