Math Archives - Our Life Homeschooling https://ourlifehomeschooling.com/category/math/ Homeschooling Encouragement for Everyday Moms Sat, 12 Apr 2025 20:29:30 +0000 en-US hourly 1 https://wordpress.org/?v=6.8.1 https://ourlifehomeschooling.com/wp-content/uploads/2024/05/cropped-1-1-32x32.png Math Archives - Our Life Homeschooling https://ourlifehomeschooling.com/category/math/ 32 32 Best Counting Picture Books for Preschool Kids  https://ourlifehomeschooling.com/2025/04/12/best-counting-picture-books-for-preschool-kids/?utm_source=rss&utm_medium=rss&utm_campaign=best-counting-picture-books-for-preschool-kids https://ourlifehomeschooling.com/2025/04/12/best-counting-picture-books-for-preschool-kids/#respond Sat, 12 Apr 2025 20:29:28 +0000 https://ourlifehomeschooling.com/?p=7812 Do you have a preschool child who is starting to understand number concepts? These interactive counting picture books will help your preschooler learn to count in a way that is fun and engaging! As a homeschool mom of 15+ years, I think the best way for young children to learn to count is through play...

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Do you have a preschool child who is starting to understand number concepts? These interactive counting picture books will help your preschooler learn to count in a way that is fun and engaging!

As a homeschool mom of 15+ years, I think the best way for young children to learn to count is through play and games. As your preschool child shows awareness of number order, however, reading interactive picture books is a fantastic enrichment activity to enhance his or her understanding. 

**This post contains affiliate links which means I may make a small commission at no extra cost to you. Thanks for supporting our family.

Best Counting Books for Preschool Kids

My preschoolers love these counting books! We read them over and over together. 

Over in the Meadow by Paul Galdone

My daughter (now eight years old) used to love this book through her toddler years, asking constantly for me to read this book to her. Because of its rhyming text, I like to sing this book when I read it to my little learners. Here is the link to the tune I sing. Every number up to ten shows a mother and her children, starting with a mother turtle with her little turtle one to a mother fox and her little foxes ten. 

Sale
Over in the Meadow: An Old Nursery Counting Rhyme
  • Used Book in Good Condition
  • Paul Galdone (Author)
  • English (Publication Language)
  • 32 Pages – 06/01/1989 (Publication Date) – Aladdin (Publisher)

Five Little Monkeys Jumping on the Bed by Eileen Christelow

Do you want to know the silly story behind the song about the five little monkeys jumping on the bed? You will learn here, as Eileen Christelow tells of the monkeys getting ready for bed. They jump on the bed until one of them gets hurt. But when the doctor tells them not to jump on the bed, they mischievously do it again. This rhyming book is also a song. If you can sing books to children, they love it!

Sale
Five Little Monkeys Jumping on the Bed Padded Board Book (A Five Little Monkeys Story)
  • Christelow, Eileen (Author)
  • English (Publication Language)
  • 30 Pages – 04/04/2017 (Publication Date) – Clarion Books (Publisher)

Ten Little Ladybugs by Melanie Gerth

Count with your small children one by one, almost all of the ladybugs get distracted by other insects except for the last one. This ladybug is left alone until a breeze comes along and blows her home with all the other ladybugs and wildlife.

Bendon Ten Little Ladybugs Piggy Toes Press Storybook
  • TACTILE: Uses tactile ladybug buttons to teach young children to count
  • COVER: Hardcover with ladybug counting toy built in
  • SIZE: 22 pages, 9.2 x 7.2 inches
  • COLOR: Toddlers love the bright colors and disappearing Ladybugs

The Very Hungry Caterpillar by Eric Carle

On a warm, sunny morning, a baby caterpillar pops out of an egg. Follow the caterpillar, trying one apple, two two pears, and many more interesting foods. But all this eating results in a stomach ache. Finally, he finds the right food for him — a delicious green leaf. After emerging from a cocoon, the caterpillar transforms into a beautiful butterfly.

Sale
The Very Hungry Caterpillar (Rise and Shine)
  • Now even younger children can follow the little green caterpillar as he eats his way to becoming a beautiful butterfly in this sturdy board book
  • Great for early development
  • Children will enjoy this delightful tale
  • Ages 3 to 7
  • Hardcover Book

Ten Red Apples by Pat Hutchins

The style of the illustrations in this book is very unique.  The wooden hinged figures with intricate designs render a Dutch farm theme. A farmer is trying to keep his ten beautiful apples growing on the apple tree. Animals keep running  by and stealing them one by one, until they are all gone. Next thing he knows, the animals carry him away and he finds out what happened to all his precious apples.

ten red apples
  • Pat Hutchins (Author)
  • English (Publication Language)
  • 32 Pages – 06/12/2025 (Publication Date) – Scholastic (Publisher)

Richard Scarry’s Best Counting Book Ever

Your kids will count along with Willy Bunny in this story. He is bored and begins to count the number of items and things he encounters that day. Kids love interacting with the books that we read to them!

Best Counting Book Ever
  • Scarry, Richard (Author)
  • English (Publication Language)
  • 64 Pages – 01/02/2014 (Publication Date) – HarperCollinsChildren’sBooks (Publisher)

My First Counting Book Golden Book Illustrated by Garth Williams by Lilian Moore

In this board book, the reader counts different kinds of animals throughout the story. Garth William’s (illustrator for the Little House on the Prairie books) colorful illustrations display the animals’ different ways of each of their life cycles and environments.

My First Counting Book
  • Hardcover Book
  • Moore, Lilian (Author)
  • English (Publication Language)
  • 24 Pages – 02/01/2001 (Publication Date) – Golden Books (Publisher)

Bear Counts by Karma Wilson

Bear looks up at the sky and begins to count the insects, the birds, the clouds. Mouse follows him, and together, they count all the wildlife in the forest. “Numbers, numbers, everywhere. Now YOU can count too, just like BEAR!”

Sale
Bear Counts (The Bear Books)
  • Hardcover Book
  • Wilson, Karma (Author)
  • English (Publication Language)
  • 32 Pages – 05/12/2015 (Publication Date) – Margaret K. McElderry Books (Publisher)

Chicka Chicka 1,2,3

My littles love the Chicka Chicka Boom Boom books and were excited to find that there was another version but with numbers! All the numbers race to the top of the apple tree, but what they meet at the top will send them tumbling back down.

Sale
Chicka Chicka 1, 2, 3
  • Chicka Chicka 1 2 3
  • Hardcover Book
  • Bill Martin Jr. (Author)
  • English (Publication Language)
  • 40 Pages – 08/01/2004 (Publication Date) – Simon & Schuster Books for Young Readers (Publisher)

Ten Black Dots by Donald Crews

What can you make with dots? Read this basic counting book to find all the creative ways to see black dots in everyday objects. This is a fun way for young children to learn number concepts from one to ten. 

Sale
Ten Black Dots
  • Crews, Donald (Author)
  • English (Publication Language)
  • 32 Pages – 09/21/1995 (Publication Date) – Greenwillow Books (Publisher)

The M&M’s Counting Book

This is a good book with bright colors, as the M&M’s characters teach counting in their rhyming words. It is a great tool for teaching not only counting, but also the shapes and colors. It also has a little bit more advanced math concepts that are great for four to six year-olds.

The M & M’s COUNTING BOOK
  • BARBARA BARBIERI MCGRATH (Author)
  • English (Publication Language)
  • 30 Pages – 06/11/1994 (Publication Date) – Scholastic Inc. (Publisher)

Count to 10 With a Mouse by Margaret Wise Brown

Margaret Wise Brown is one of my favorite authors. Big Red Barn and Goodnight Moon are two of my favorite books of hers. Count to 10 With a Mouse, another one of her works, but as a simple counting book. A mouse lives in his hole in a book, before he decides to explore to the next page. Each one has a different number of birds or animals that the mouse counts.

Count to 10 with a Mouse
  • Brown, Margaret Wise (Author)
  • English (Publication Language)
  • 06/12/2025 (Publication Date) – Parragon Book Service Ltd (Publisher)

Birdsongs by Betsy Franco and Steve Jenkins

What I love about the book Birdsong is that it’s a great for little readers to learn a different variety of birds while also learning to count. As the sun slowly rises, these birds go about their normal routine in their habitat. This delightful book could have a dual purpose, teaching math and nature study.  

Sale
Birdsongs
  • Hardcover Book
  • Franco, Betsy (Author)
  • English (Publication Language)
  • 40 Pages – 01/09/2007 (Publication Date) – Margaret K. McElderry Books (Publisher)

How Many Snails? by Paul Giganti Jr.

How many Snails invites children to interact with the reading as they count different items based on their qualities. Each page shows a number of one kind of animal or object, and the reader will be asked simple questions like how many trucks out of all of the trucks are fire trucks? And how many dogs are spotted? 

Sale
How Many Snails?: A Counting Book (Counting Books (Greenwillow Books))
  • Giganti Jr., Paul (Author)
  • English (Publication Language)
  • 24 Pages – 09/21/1994 (Publication Date) – Greenwillow Books (Publisher)

This Little Pup by Laura J. Bryant

Follow a young puppy in this children’s book as he chases after a ball. The ball bounces past cows, and chickens, and pigs, and all sorts of animals there on the farm, counting them as he goes. It bounces past everything, until finally, the little pup catches it.

This Little Pup
  • Hardcover Book
  • Bryant, Laura J. (Author)
  • English (Publication Language)
  • 32 Pages – 04/01/2020 (Publication Date) – Albert Whitman & Company (Publisher)

Big Fat Hen by Keith Baker

This is a great book that borrows lines from Mother Goose’s nursery rhyme, “one, two, buckle my shoe”, a nursery rhyme that I often read to my little ones. The simple illustrations show the hen and her eggs, and in the end as they hatch into chicks. It is a great way to teach your young readers math skills, and have so much fun reading the rhymes!

Big Fat Hen
  • Baker, Keith (Author)
  • English (Publication Language)
  • 32 Pages – 04/01/1999 (Publication Date) – Clarion Books (Publisher)

Looking for a way to enhance your child’s number sense? Reading these picture books with your small children is a fun way to do that! What books would you add to this list?

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Simple Math Factoring Activities for All Ages https://ourlifehomeschooling.com/2024/01/22/simple-math-factoring-activities-for-all-ages/?utm_source=rss&utm_medium=rss&utm_campaign=simple-math-factoring-activities-for-all-ages https://ourlifehomeschooling.com/2024/01/22/simple-math-factoring-activities-for-all-ages/#respond Mon, 22 Jan 2024 19:56:23 +0000 https://ourlifehomeschooling.com/?p=6202 These simple math factoring activities for all ages are a fun way to practice math skills in your homeschool. You can play these with your children all together during Morning Time or you can work individually with kids to help them understand.  Factoring Basics  Before we begin factoring, let’s define what we mean by using...

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These simple math factoring activities for all ages are a fun way to practice math skills in your homeschool. You can play these with your children all together during Morning Time or you can work individually with kids to help them understand. 

Factoring Basics 

Before we begin factoring, let’s define what we mean by using this word. What is a factor?

A factor is a number that divides a number exactly with no remainder. 

Factoring is the opposite of multiplying to find a product. Instead, it is starting with a product and finding the numbers that can be multiplied to make that product. 

Why should students learn how to factor numbers? Factors are useful in reducing fractions. They are also an essential skill in solving quadratic trinomials which are usually introduced in high school Algebra classes.

Before students are ready to factor, they need to have plenty of mental math practice with multiplication facts. Whether you use flashcards, skip counting, or another math method, aim for your child to have the capability to answer multiplication problems automatically. 

Multiplication Chart

One fun way to find factors is to use a multiplication chart. They won’t be able to find all the factors of a number this way, but it will be a great introduction to factoring.

Start with an easy number like 24. Have them circle all the 24s on the multiplication table. Next, have them highlight the corresponding rows and columns to find the factors of 24. 

You can find a blank multiplication chart to print out and use here.

Finding Factors Through Arrays

One of the true methods that will help your child understand factors is to see them visually. For this number activity, you can use any simple math manipulative such as square tiles, cubes, playing cards, or even food like Cheerios. 

I like to use square tiles. Give your child a certain number of tiles. Twelve is a good starting number.  Tell your child to make rectangles with them. After they make a few different-sized rectangles, have them tell the dimensions by sides.

 1×12

 2×6

 3×4 

Tell your kids to write out the numbers of the sides like this. 1, 2, 3, 4, 6, and 12. Explain that these are factors. 

Ask these questions. 

Is 5 a factor of 12?

Is 7 a factor of 12?

After using the number 12, try giving them tiles with other numbers such as 20, 24, 32, 36, 40, 42, 48, 60, and 72. 

You can extend this fun activity by having them draw arrays. Coloring them on graph paper is also fun! 

Loop Around Factoring Method

My favorite factoring activity is what I call the Loop Around Method. This strategy will help a child find every factor of a product without any missing factors. 

Begin with a number that has several factors. I like to use the number 24. Start with number 1 and go up.

Can 2 be multiplied evenly into 24?

What about 4?

Does 5 go evenly?

When you get to 6 which is already on the other side (4×6), you have “looped around.” Now you have listed all the proper factors. The rest of the factors go up until you hit 24 at the top. 

Next, I list the factors below to help them visually see all the factors of 24.

When I teach this to my kids, I like to give them one or two types of problems as warm-ups and then have them do a some as independent work for extra practice. 

Play this fun game over and over again with numbers that have a handful of factors like 20, 30, 32, 36, 40, 42, 48, 60, 72.

Common Factors

Once kids can find and list all the factors of a number, it is easy to have them find common factors by grouping problems. Show the factors of two numbers side by side like this.

24- 1, 2, 3, 4, 6, 8, 12, 24

36- 1, 2, 3, 4, 6, 9, 12, 18, 36

Tell them to circle the common factors. 

Greatest Common Factor

To further give your students understanding, ask them to show the greatest of the common factors. (In the numbers 24 and 36, the greatest common factor is 12.)

Finding the Greatest Common Factor, or GCF, will help in factoring quadratic trimomials in algebra.

Difference Between Factors and Multiples

I also like to teach my kids the difference between factors and multiples. Unlike factors, multiples begin with small numbers that multiply themselves. The easiest way to understand them is to see that they are skip counting. 

2-2,4,6,8,12…

3-3,6,9,12,15,18…

4-4,8,12,16,20,24…

Finding Prime Numbers with Factor Trees

Factor trees are an engaging way for kids to learn about prime and composite numbers. 

A prime number is divisible by only 1 and itself. (1,3,5,7,11,13) A composite number is divisible by more numbers than one and itself. (2,4,6,8,9,12,14,15)

simple math factoring activities for all ages

To make factor trees, start with an easy number to factor. Draw two branches below the number and write two numbers that can be multiplied together to make the number above. Keep making branches below the composite numbers until the only remaining numbers are prime. 

*Important note! Not all factor trees look the same. There is more than one way to make a tree, depending on the factors you choose.

Factoring Quadratic Polynomials

For the most part, homeschool parents are ok with teaching subjects like social studies, general science, and physical education, but when it comes to all things algebra, this is a daunting task most prefer to avoid! Because they are not middle school or high school math teachers, parents become hesitant about anything involving a graphing calculator or words like “perfect square trinomials.”

Now I will be the first to admit that I think some higher-level math is not necessary for future life skills, but quadratic polynomial equations are kind of fun once you understand them.  I like to think of quadratic expressions as factor puzzles. Basic multiplication and factoring are the main skills needed to perform them. If you like fun math games like Sudoku, you might be surprised to learn that you like to factor polynomials!

Easy Trinomials

Let’s start with some easy trinomials like the one below. 

X²+10x + 24

Seeing the patterns in these expressions is a new way to help you solve them more quickly. They usually begin with three terms and end with two parentheses expressions like below.

X² +10x + 24= (x+4)(x+6)

What is important to know is that the second term represents the SUM of two factors of a number and the third term represents the PRODUCT of those same two factors.

If you are familiar with the factors of 24, you can easily break down this trinomial. 

Use the Loop Around Method above to write out the factors of 24. Ask these questions. 

1.What two numbers multiplied together make 24, but added together make 14? (2×12)

2.Which two numbers multiplied together make 24, but added together make 11? (3×8)

3. What two numbers multiplied together make 24, but added together make 10? (4×6)

Since 10 is the 2nd term, it is easy to see that the factors 4 and 6 will be used in solving this trinomial. 

Step-by-Step

  1. Separate the first term by putting an x in the correct place (as the first term) in each parenthesis. 
  2. Numbers 4 and 6 can be used as the second term in each parenthesis because added together they make 10 and multiplied together they make 24.

Use the FOIL Method to multiply it out and check.

simple math factoring activities for all ages

Here is another product with some corresponding polynomials you can solve. 

32

1×32

2×16

4×8

Ask these questions. 

  • Which two numbers multiplied together make 32, added together make 33? (1×32)
  • What two numbers multiplied together mke 32, but added together make 18? (2×16)
  • Find two numbers that multiplied together make 32, but added together make 12? (4×8)

X² + 18x + 32 Answer: (x+2)(x+16)

X² + 12x +32 Answer: (x+4)(x+8)

X² +33x +32 Answer (x+1)(x+32)

Now try these expressions. Start by looking at the third term and using the Loop Around Method to find all the factors first and then solve.

(Remember! 2nd Term= sum, 3rd Term = product)

X²+5x+6  Answer (x+2)(x+3)

X²+12x+27 Answer (x+9)(x+3)

X²+9x+20 Answer (x+5)(x+4)

X²+13x+40 Answer(x+8)(x+5)

X²+15x+56 Answer (x+7)(x+8)

Once you get the hang of it, you can try creating polynomials, grouping problems by the products and factors you find in the Loop Around Method. 

You may not know anything about Algebra or quadratic equations, but you can still prepare your older children for the kinds of problem-solving that they will have to do in Algebra I and II by trying this simple game. 

Your algebra students don’t need special classes to solve quadratic expressions. Although these types of problems do require a bit of good criminal investigation, with a lot of practice, your kids can solve them quickly! 

More Simple Factoring Activities

For more resource types like this, you can try these digital factoring options in which you compete with the computer playing digital factoring games.

You may also enjoy reading this similar post.

Five Minute Homeschool Math Games to Do With Everyone

Difference of Squares is an interesting puzzle to solve as well. You can find a good example in this video. 

If you want to learn about the box method of solving quadratic polynomials, I like how this video explains it. This step gets a little more challenging because it involves negative terms.

Happy factoring everyone!

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Free Homeschool Math Games You Can Do With Everyone https://ourlifehomeschooling.com/2020/09/30/five-minute-math-games-to-do-with-everyone/?utm_source=rss&utm_medium=rss&utm_campaign=five-minute-math-games-to-do-with-everyone https://ourlifehomeschooling.com/2020/09/30/five-minute-math-games-to-do-with-everyone/#respond Wed, 30 Sep 2020 21:30:54 +0000 https://ourlifehomeschooling.com/?p=932 Looking for ideas to help your kids with basic math skills? Try these five-minute homeschool math games. You can do these free math games with everyone in the family and it will make math fun! Because math is a skill, it is a subject that should primarily be taught individually. Since each child will progress...

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Five Minute Homeschool Math Games You Can Do With Everyone

Looking for ideas to help your kids with basic math skills? Try these five-minute homeschool math games. You can do these free math games with everyone in the family and it will make math fun!

Because math is a skill, it is a subject that should primarily be taught individually. Since each child will progress at their own level and ability, homeschool math lessons are not easily taught in a group. 

There are, however, some fun math games that I have practiced during Morning Time or at the lunch table during our school day with all of my kids together to sharpen math concepts and problem-solving skills. Our kids love this! They often compete to get the most correct at their level. I will occasionally throw in fun games like these and the kids have lots of fun, each begging to be next.

Number Sense and Basic Operations

These mental math exercises are a great way for younger kids to learn number sense and addition facts in a way that makes learning fun!

Younger Children-toddler, preschool, early elementary

  • Count as high as you can.
  • Count backwards from …10, then 20, then 30 and so on.
  • I will say a number and you say the number that comes after.
  • Next, I say a number, you say the number that comes before.
  • I will say a number and you say the number that comes 2 after. (Me: 5, Child: 7)
  • I say a number, you say the number that comes two before.
  • As they progress, you can ask addition and subtraction facts, making it a game.

Elementary Children

Flash cards can be great for teaching multiplication facts, but another fun way to learn is through skip counting.

  • Teach young children to skip count. Starting with 0, what is two more? Then two more after that? Skip count 2’s to 20. They have learned even numbers and multiples of 2.
  • Starting with the youngest who can skip count, have them say multiples of a number (skip counting) by level, according to their ability, 2’s to 20, 3’s to 30, 4’s to 40 …up to 9’s to 90.
  • Extension: Say the multiples backward, starting with the highest number. (ie. 90, 81, 72, 63, etc.)

They may not realize it, but these are all their multiplication tables and division facts.

Five Minute Homeschool Math Games You Can Do With Everyone
Playing a form of Old Maid that helps him learn the combinations that make ten by finding those matches.. 1+9, 2+8,3+7, 4+6, 5+5
Five Minute Homeschool Math Games You Can Do With Everyone
Playing that same fun math card game with a sibling.
kids playing math games

Making Change for All Ages

For Young Children

  • Easy: I say a one-digit number, you say the missing number that makes 10. (Me: 3, Child: 7) Use all the number combinations and see if they guess all the different ways to make ten. This is preparing them to be able to make matching numbers for 100.

Elementary and Middle Children

  • Progressing: I say a number, you say the other number that makes 100. (Me: 27, Child: 73) We do this one over and over until it becomes automatic. It’s actually a challenge for me as well to be able to think of it before they do!
  • Medium: I say an amount of change. You say the opposite amount that would make a dollar. ( Me: $0.43, Child: $0.57)
  • Hard: I say a dollar and change amount. You say the change if you give a $10 bill. $20?

Probability (For All Ages)

Using a pair of dice and a white-board, list all the possible roll combinations. These hands-on math games help young minds grasp the concept of probability. Ask kids these questions.

  • What is the lowest number you can roll?
  • What is the highest number you can roll?
  • Starting with 2 and going up to 12, list the combinations for each number on the white-board. Ask them what number has the most likelihood of being rolled? (7)

Five Minute Homeschool Math Games You Can Do With Everyone

Middle School and High School

You may not know anything about Algebra or quadratic equations, but you can still prepare your older children for the kinds of problem solving that they will have to do in Algebra I and II by trying this simple game.

Factoring is the basic skill used in solving quadratic equations. To help prepare high school students for solving quadratic equations (example below), this is a great game to help sharpen their factoring skills! It is super easy and involves basic addition and multiplication skills.

Factoring quadratics: leading coefficient = 1 (article) | Khan Academy

I begin with a number with several factors, for example, 24. Look at the factors in the number 24 and ask these questions. (They will eventually see the pattern, but do not tell them beforehand that you have picked the number 24!)

-What two numbers multiplied together make 24, but added together make 25? (1×24)

-What two numbers multiplied together make 24, but added together make 14? (2×12)

-What two numbers multiplied together make 24, but added together make 11? (3×8)

-What two numbers multiplied together make 24, but added together make 10? (4×6)

Play this fun game over and over again with numbers that have a handful of factors like 20, 30, 36, 40, 42, 48, 60, 72.

This favorite game will quickly sharpen their multiplication and factoring skills. After playing several times, solving quadratic equations will seem easy peasy!


At our house, I keep a lot of games like these in my back pocket and when we need something different in our routine, I will pull them out to mix things up.

For example, at lunch, we will sometimes have math game time. We might go around the table, starting with the youngest child, asking questions according to their level, and going around up to the oldest. They all can’t wait until it’s their turn again to get a question! They like to be challenged and to show that they can get the correct answer in front of other siblings.

Although our kids spend time each day consistently making progress in their math curriculum, I think the best way for kids to learn math facts is to develop a love of learning through life skills and cool math games.

Playing fun math activities like these is the perfect way to make math a favorite subject quickly!

Have you tried any of these educational games with your whole family? I’d love to hear your feedback!

Pin It! Five Minute Homeschool Math Games You Can Do with Everyone

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