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40 Awesome Number Activities for Preschoolers
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27 Apr
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Number activities for preschoolers don't have to be boring and just worksheets, make them fun so your preschooler will love math!
I love math. I’m a nerd, yes. But I love anything to do with numbers.
I really do hope I can pass this along to my kids by making learning activities about numbers and counting fun for them and not a chore.
As I’m typing this, Henry’s shouting excitedly as he’s counting how many things on his sprayer…though I’m not really sure what he’s counting exactly. He made it to 39 though!
Because I’m a huge math nerd I searched for easy and fun number activities for preschoolers.
My Favorite 40+ Number Activities for Preschoolers!
Try these activities to help preschoolers learn their ABCs!
Recognizing Numbers Activities for Preschoolers
Identifying numbers can be a learning experience for preschoolers (and younger!). Many of the ABC recognition activities can also be adjusted for numbers.
My kids love these 12 number activities for preschoolers to recognize numbers.
- Turn a number into sensory art – perfect for the 100th day of school!
- Go on a hunt for numbers and match it with the same number!
- Follow a number from start to finish in a maze.
- Trace numbers, really big!
- Little Family Fun created a parking lot with numbers.
- Pop! Find the number and pop it!
- Find and match playing cards.
- Have target practice with water balloons and numbers, like Motherhood on a Dime
- Make art! Do this paint by number canvas art.
- Use stickers and printable number cards to play hide and seek, from Teach Mama.
- Draw and paint over numbers with q-tips, like Toddler at Play!
- Clip and match with giant numbers from You’ve Got This Math!
Activities for Number Recognition
Counting Activities for Preschoolers
Learning there’s a sequence to the numbers and what comes next. Try these 18 number activities to help preschoolers learn to count.
- Connect the dots! A simple past-time activity that reinforces the order of numbers.
- Upcycle a box into a puzzle of numbers!
- Create a maze of numbers to drive through. Can they count their way to the end?
- Stacking up boxes and counting how high you can go!
- Make a craft together with multiple pieces. Have your child do the counting!
- Count cars of a particular color while on the road, or semis, or vans, whatever suits their interest!
- Create a learning game with your ABC mat and number blocks. Choose a number block and pound the corresponding times with a hammer on the corresponding number mat!
- Let your child run an experiment and measure how much something holds! How many cups fit?
- Make puzzles with a picture. Label sections of the puzzle in numerical order. Cut apart and have your child put it back together again, from Growing in PreK.
- Use friendly animal crackers to practice counting and number recognition, like I Can Teach My Child.
- Measure objects (or yourself!) and count how big they are, from The Imagination Tree
- Count objects around the house. No Time For Flash Cards wants to know “How many doors do you have?”
- Play any board game, or make your own! Little Family Fun creates a fish race game!
- Count with LEGO! Do Play Learn likes to label a paper with numbers and count out the LEGO next to it.
- Snack time! Use dice and fruit snacks and play until you eat them all up, like Kids Activities Blog.
- Have a bean bag toss on the stairs, number them!
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Counting Activities for Preschoolers
One to One Correspondence Activities for Preschoolers
Knowing your numbers is one thing and knowing how to count is another. But being able to put them into context that they each have meaning is done with one to one correspondence.
Get ready for preschool with 35 name activities!
I love these 12 number activities that help a preschool practice one to one correspondence.
- Head out into nature and explore flowers. Count and compare flower petals!
- Go on a hunt for a number and match it to its corresponding dots.
- Build towers of blocks on a number mat, with the correct number of blocks high!
- Spark your child’s interest with their interests! A farming approach of loading grain bins with the corresponding number of pieces of “grain.”
- Have a newspaper throwing game and count up the newspaper balls, or how many you make, or miss!
- Make something in the kitchen together, or do an experiment and let your child measure out and do the counting.
- Sort through objects by color, and count how many you have of each!
- Fill a dump truck with objects (like Dominoes!) and count how many you can fit in there, like Inspiration Laboratories.
- Estimate first for some fun and then count item, from Teach Preschool.
- Have a counting race in the front yard and pick dandelions in the process!
- Roll a die (or two!) and practice one to one correspondence as kids build towers with blocks.
- Use a dice and small objects (like pom poms or corn kernels) and count them and fill up a tray.
One to One Number Activities for Preschoolers
Counting and number books that will get preschoolers excited about numbers:
- The Baker’s Dozen: A Counting Book
- I Spy Numbers
- One Big Building: A Counting Book About Construction (Know Your Numbers)
Do you actively work on numbers and counting with your child? Share your favorite activities!
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About Jamie Reimer
Jamie learned to be a hands on mom by creating activities, crafts and art projects for her three boys to do. Jamie needed the creative outlet that activities provided to get through the early years of parenting with a smile! Follow Jamie on Pinterest and Instagram!
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125+ Engaging Number Activities for Preschool & Kindergarten
Today we have a lot of activities for learning numbers for kids that make learning fun! These activities with numbers for preschoolers and Kindergartners are great for kids learning numbers, needing number practice numbers or just fun games to learn numbers.
Let’s do some fun activities for learning numbers!Learning Numbers for Kids
Below you will find games, free printables, crafts, and even snacks perfect for young children! We are sure that you will find a fun learning activity that your child will love.
Related: Alphabet learning
These fun math games will help make math fun, and will make them want to learn!
Counting For Kids
Learning to count and learning math shouldn’t be hard and tedious! We have gathered the vary best number activities to teach your little one no only how to count, but number recognition and other basic math skills as well.
These math games, projects, and printables are great for toddlers, preschoolers, kindergarteners, and first graders. Though, we have a few links that are great for bigger kids learning harder math like algebra!
This post contains affiliate links.
Why Is Learning Math Early Is Important?
Learning basic math skills at an early age gives kids a good foundation when they actually go to school. Without a good foundation and basic understanding of math children are more likely to struggle with learning math while they’re in school. Not to mention, introducing math early will help shape how their educational experiences later in life.
Positive math experiences will help children be excited, curious, and persistence when it comes to numbers.
Fun Number Activities & Counting Activities for Preschool & Kindergarten
Number Recognition Activities for Preschool
1. Odd and Even Numbers
Once your preschooler has recognize regular numbers, it is time to learn and recognize odd and even numbers! Don’t worry, believe it or not, there is an easy way to learn odd and even numbers.
2. Hands On Activities To Learn Numbers
Use these fun hands on activities to learn numbers, along with other educational letters. It’s fun, it’s messy, it is a great way to learn.
3. Number Jumping Game
This number jumping game will help your child learn number recognition. It’s a super cute game that not only teaches, but gets your child moving.
4. Pretend Elevator
This pretend elevator game not only promotes pretend play, but it also helps with number recognition as they have to “press” the correct floors.
5. Star Search
Learn your numbers and to recognize them with this super cute star search number learning game. What a great way to learn number concepts and is toddler approved.
6. Number Sensory Activity
Use this super fun number sensory bin full of rice, numbered ping pong balls, and numbered spoons to not only work on fine motor skills, but to learn number recognition. Sensory and numbers, all the important things in one activity.
7. Number Recognition Game
This is a great game for long car rides. Scanning houses and signs you call a number and your little one has to find and point it out. It’s a simple number recognition game, but a lot of fun.
8. Sorting Numbers
Sort numbers using stones, wood pieces, and stones. Sorting numbers just requires you to right numbers on objects and then have plates laid out for your child to put the objects in.
9. Simple Games To Teach Number Recognition
Check out these 5 simple games to teach number recognition to your preschooler and kindergartener. They’re fun, simple, and will make learning fun.
10. Number Recognition With Sequence
Do you remember the game sequence? It’s a fun game, but it’s also a game that can help you teach your child number recognition as well.
11. Number Recognition and Ordering
Use toilet paper rolls and number stickers to teach your little one number recognition and ordering. This project is perfect for preschoolers and toddlers.
Counting Activities for 2-3 Year Olds
12. DIY Montessori Cards
Use these DIY Montessori cards and counters to help teach preschoolers count. It’s cute, easy, and each set of DIY Montessori card is themed.
13. Counting Cards
Move over deck of cards, we have even better cards! Flash cards! I love these! These free counting cards are a great way to teach your little one how to count and number recognition. Numbers for kids has never been easier!
14. Counting In Tens
Once your little one learns to count, then it is time to learn to count by 10’s and they can do just that with these super cute count by 10 alien worksheets.
15. Counting With Petals
How cute is this counting lesson! Use a sheet of paper to make to make the base of the flower and then use a dice. Once your preschooler rolls it, have then add that many flower petals on the flower. Counting with petals is a colorfully fun way to practice counting.
16. Counting Caterpillar Busy Bag
These free printable numbers are great to cut and laminate and add to a busy bag with pom poms. Your child will learn to count. This counting caterpillar busy bag is great for quiet time or as a math game.
17. Counting With Pom Poms
Start counting with pom poms and learn about graphs at the same time with this simple counting lesson.
18. Counting Beads
Use counting beads and wooden numbers to help teach your child to count. Line them up and have your child right the number down beside each group or write a number then have your kids count out the beads and sticks.
19. Throw The Dice And Draw
Throw the dice and draw that many pictures! Roll a 10? Then you need to draw 10 houses!
20. Homemade Learning Board For Toddlers
This homemade learning board for toddlers is a great way to learn how to count using cards and counters.
21. Number Games For Preschoolers
Learn to count with this super cute penguin math game. All you need is a foam die, insta-snow, and penguin rubber ducks.
22. Counting and Fine Motor Hedgehog Game
Use clay and popsicle sticks to create this counting and fine motor hedgehog game. Not only are you putting the popsicle stick in the correlating hole, which is also fine motor practice.
23. Clothespin Counting Activity
This clothespin counting activity is great for toddlers and preschoolers, and it works on fine motor skills! All you need is a jar, large popsicle sticks, and clothespin for this activity.
24. Jelly Beans For Sale
Jelly Beans for Sale is a book by Bruce McMillan and a great way to introduce a new type of counting. Counting money!
Counting Games For Preschoolers
25. Counting and Colors
Make a counting and colors busy bag full of colorful shapes with numbers on them. Then have your child count the numbers and add the correct number of clothes pins.
26. Cinco Calabazas
Cinco Calabazas is a fun little song that teaches children to count the 5 little pumpkins.
27. Number Counting Activities
Looking for more counting activities? Here are 50 great ideas on easy and fun ways to teach your child how to count.
28. Counting With A Remote Control Car
Using blocks to create a maze learn your numbers while trying to get your remote control car out of the maze!
29. I Caught A Fish Alive
This counting song is super cute and will encourage your little one to count on their fingers from one to ten.
30. Learning Double Digits
Once your child can count 1-10, then it is time to learn double digits and you can do just that with this double digits counting project.
31. Pretend Play To Learn Counting
Use pretend play to learn counting by using a toy register. Count out money, push buttons, and count back change.
32. Christmas Counting Correlation
Work on counting using paper, basic drawings, and snowflake glitter with this cute Christmas counting correlation activity.
33. Counting Snowmen
Learn counting with this super cute counting snowmen activity. Keep adding “snowballs” to the snowman’s body based on the number.
34. Pretend Play To Learn Counting
Use pretend play to learn counting by using a toy register. Count out money, push buttons, and count back change.
35. Poke and Peg
This poke and peg counting game is a fun way to teach your kids numbers 1-9. Stick wooden dowels into clay and clip numbers on the correct number of dots.
36. Flower Counting Cards
These are so pretty, I love them! These flower counting cards have the stems, but your toddler or preschooler has to add the correct number of flowers to each card.
37. Bakery Counting Game
This bakery counting game a great way to teach your kid how to count money. Each “bakery item” has a number on it. Have bowl of coins ready and let your child count out how much they need for each treat.
38. Abucus Counting
Use an abucus to learn to count. You can incorporate the use of the abucus while you’re singing through fun number songs.
39. Punch By Number
Don’t worry, by punch we mean with a paper punch! Use strips of paper with numbers on them and paper punches to learn how to count. This punch by number is actually really cute, but also works on fine motor skills as well.
40. Reuse Playdough Containers To Count
Learn to count and numbers by using marked playdough cups. Fit on into the other, and the lip hangs out and you can turn it to see different numbers.
41. Counting With Nature
Trace a number on a piece of paper and then count out different things in nature and place it on the paper. Like 3 sticks, 3 acorns, 3 shells, etc. Counting with nature is also a good way to get outside to gather all the counting tokens.
42. How To Teach Numbers Using LEGOs
How to teach numbers using LEGOs? Easy! Add the number, the correct amount of dots, and the number word! This not only teaches your child to count, but word recognition as well.
Counting Games For Preschoolers
43. Counting Bottle Bowling Game
Save your plastic bottles, get some paint, and a small beach ball and get bowling with this super easy and fun counting bottle bowling game.
44. Math Games For Preschoolers
Wanting to teach kids to count money? Learn math facts? Looking for some counting games? Dice games? There are so many math games to choose from!
45. Frog and Lily Pad Math Games
Cut out lily pads with paper and number them. Then let your little one decorate them with the right amount of stickers before they get to act like a little frog and jump across them all with this fun frog and lily pad math game.
46. Online Number Recognition Activities For Preschool
Whether you’re learning to count, add, substract, fractions, or algebra, these are the best math apps for struggling students. This will make learning math fun again.
47. Monster Match Game
Print off this monster match game, grab some counters, and a d6, and start learning! This is a great way to learn to count and to learn number recognition.
48. Race To 10 Scoops Math Game
How cute is this math game? Race to 10 scoops math game is a free printable and great for preschoolers and kindergarteners, and requires more than 1 player.
49. Math Games For Elementary Kids
Math is hard. Ditch curriculum and play math games! These math games for elementary kids is a great way to learn the basics, to learn decimals and fractions, as well as others.
50. Preschooler Counting Card Game
This preschooler counting card game is easy to make and can easily teach your child more or less. Take 2 cards and ask your toddler which has more or which has less.
51. Number Stomp
This number stomp game is a great way to learn numbers and have fun! Learn addition and subtraction and then jump on the bag with the answer!
52. Pom Pom Drop
Learn addition with this pom pom drop math game. Give your child a number plus another number and have them put that many in the first tube and second tube and count the answer.
53. Counting Math Games
I love this! Roll a foam dice and add that many counters into a bowl. I think this is one of the cuter counting math games.
54. Math Facts Game
This math facts game will teach number recognition, addition, subtraction, and multiplication, equation memory, and more.
55. Math Discovery Box
Fill a plastic bin with either salt or sugar and stick pages beneath it. Then your child will use a brush to move the sugar or salt around the math discovery box to find shapes and numbers.
56. Dice Game
Use this dice game to teach your child numbers 1-6 as well as number recognition. They’ll roll the dice, count the pips, and then tap the correct number on the wall.
57. Comparing Uno Cards
Comparing Uno cards is a cute game and fantastic way to learn greater than and less than.
58. Truffula Tree Math Games
This fun truffula tree math game is inspired by Dr. Seuss’ The Lorax. All you need is pom poms, pipe cleaners, clay, and bottle caps.
59. Super Hero Math Game
Play this fun super hero math game, to not only learn how to count, but to catch the villain!
60. Rummikub Math
This is a great way to not only learn math, but spend time with the family! Plus, these Rummikub math pieces are actually candy!
61. Weights, Lengths, Shapes, and Time
Play these different games to learn about weights, lengths, shapes, and time. Each game is different and requires different items, but your preschooler or elementary student will have a blast.
62. Dump Truck Counting Game
How many dominoes can a dump truck hold? Find out with this fun dump truck counting game that not only teaches about math, but also physics.
63. HiHo! Cherry-O Inspired Game Night
Use HiHo! Cherry-O to learn to count, addition, and subtraction. Take or add fruit to the tree and you can add different operation symbols and numbers to make it more challenging.
64. Train Track Number Hunt
Stop around the track and different stations to hunt down different numbers to add to your train with this train track number hunt. It’s actually super cute.
65. Learning Numbers With Hopscotch
Did you know you can learn numbers with hopscotch? You can! Set out the number tiles and get jumping!
66. Learn Numbers With Chutes and Ladders
By adding a new rule to Chutes and Ladders, you can turn a beloved children’s game into a fun math lesson.
Numbers Worksheets for Preschoolers & Kindergartners
67. M&M Math
Learn math with these M&M math sheets. Count (and taste) M&M’s, write numbers, add, subtract, and multiply with these free worksheets.
68. Printable Colored Fish
Print and laminate these printable colored fish with paper clips. Add them to a tub and have your child “go fishing.” Tell them which color and number fish to fish up.
69. Romping & Roaring Number Set 15
This romping and roaring number set has 25+ math worksheets included. These math worksheets are great for preschoolers and kindergarteners.
70. Free Car Games For Kids
Print these free car games for kids. You will be looking for the numbers on the signs, assign place value, and find which numbers are more or less.
71. Beach Pail Number Recognition
Print off these free counting printable to help your child learn number recognition up to 20!
72. Romping & Roaring Number 9, 10, 11, 12
There are so many math worksheets! Learn about matching, trace word and numbers, match number and pictures, count and circle, and more!
73.
Number Tracing WorksheetsLearn numbers and practice fine motor skills. There are number tracing worksheets for numbers 1-10.
74. Candy Corn Printable
This candy corn printable is not only free, but is a super fun math sheet. You have to circle the right number of candy corns!
75. Learn To Count Printable
This learn to count printable will teach your toddler or preschooler how to count to ten.
76. Free Printable Counting Mats
This free printable counting mats are so cute, they look like little bird nests with numbers on them. Add glass beads to the nest bases on the number on the printable.
77. Preschool Printables
These preschool printables are actually super cute and will teach your kids how many!
78. Connect The Dots With Numbers
Does your child love connect the dots? Not only are they great problem solving activities, but these connect the dots with numbers teach you to count, and work on fine motor skills.
79. Montessori Greater Than Less Than
Learn greater than and less than with this Montessori alligator themed math printable.
80. Printable Counting Book
A printable counting book is a must have to teach your preschool and kindergarten children to identify and naming numbers. What a great way to learn number identification.
81. Free Farm Grid Games
Farm grid games are a free printable that support basic math skills while making learning fun. It is a great way to learn addition.
82. Lady Bug Counting Cards
These lady bug counting cards are a fun way to learn to count. Clip clothes pins on the correct numbers or laminate and circle the numbers, there is no wrong way to do them. This is a wonderful way to build a strong foundation in education and practice counting skills.
83. Printable Math Games
This printable math game is super cute and requires you to wrap yarn around reaching the next number in line.
84. Free Romping & Roaring Number Pack 16
This number pack has even more math worksheets that includes: tracing numbers, color by number, find the number, number dice, and more!
85.
Number WordsLearn to count and number words with this super simple printable. This is great for toddlers to first graders.
86. Sorting Game
This school bus sorting game is super simple. Print out the school bus and then use sticky notes to count all the windows from 1-5.
87. Counting Flowers
Print off this number circles page and use petals to fill in the dots. You could also use small silk flowers for this counting flowers worksheet.
88. Number Coloring Pages
Print off these number coloring pages! Not only are they a ton of fun, but your kids will be learning numbers 1-10.
89. Learning Numbers Game
Learning numbers has never been easier with this free printable. Print it out and then fold it to look like a paper fortune teller for math fun.
90. Five Little Monkeys Jumping On The Bed
Learn numbers with this five little monkey jumping on the bed printable to go along with the song.
91. Free Ice Cream File Folder Game
This free ice cream file folder game helps your child count in a fun way as they count the colorful sprinkles on each cone.
92. Free Kite Number Cards
Have your child count the kites on theses free kite number cards and then use a clothes pin to clip the correct answer.
93. Free Printable Blank 100 Grid
Use this free printable blank 100 grid to learn about number patterns, counting to 100, counting by 5’s and 10’s and more! Don’t worry this isn’t a number line, but a grid. It’s a fun activity that teaches important skills and bigger numbers. Perfect for preschool children and kindergarten kids.
94. Preschool Ladybug Counting Activity
Count the different colored lady bugs with these free printable counting cards and use a clothes pin to clip the right answer.
95. Free Printable Dump Truck Counting Mat
This dump truck counting mat is so cute. You use a number card to show you how many LEGOs you need to load into the dump truck.
96. Romping & Roaring Number 13
This number 13 printable pack has all things number 13 with over 40 pages like: playdough mats, number tracing, number writing practice, and more!
97.
Match & Count Free Printable Math CardsMatch the cards with the pictures to their corresponding numbers with these free printable math cards.
98. Flower Coverall
This flower coverall game is so cute! Grab these printables, pom poms, and a paper clip. This is a fun and simple way to teach basic math skills like addition.
99. Math Store Printables
Use these math printables to label prices on your pretend store. This is a great way to teach your child how to count money.
100. Free Count, Rhyme, Repeat E-Books
Download these free math e-books to help your child count, rhyme, and more. Math can be fun with this pages that depict numbers, animals, and forests. These are not a nursery phyme, but a great activity and lots of fun.
101. Greater Than, Less Than, Equal To Worksheets
Work on greater than, less than, equal to worksheets using pony beads. This worksheet is free and great for kindergarten kids and even first graders.
102.
Gingerbread Man Kindergarten Math Facts PrintablesLearn math facts using these super cute and simple gingerbread math printables. This is wonderful for little kids.
103. Romping & Roaring Number 14 Printable Pack
This romping and roaring number 14 pack has 40 pages that include: follow the number path, color by size number, roll and count numbers, and more.
104. Learning Numbers With A Free Printable Chart
Looking for more math fun for younger children. This free printable number chart may seem simple, but using stones with numbers on it can teach your little one to not only count, but letter recognition as well.
105. Race To 100 Printable Sheets
This race to 100 game is a fun game that multiple children can play. All you need are tokens and dice to play this number game.
106. Printable Numbers Memory Game
These printable numbers memory game is a little more tricky. You have the actual number, the word, and then pictures. You have to match the printable numbers with the picture cards.
107. Pete The Cat and His Four Groovy Buttons
Print out this shirt so your child can count Pete the Cat’s four groovy buttons while you read them the book!
Learn the Numbers with Counting Activities At Home
108. Number Houses
Use recycled bottles to create number houses. Decorate them and add numbers to them and then promote pretend play by driving numbered cars to their numbered homes.
109. Math Art For First Graders
Learn about patterns and numbers with coloring! This math art for first graders is perfect for first graders and is a fun way to not only learn about patterns, but to color as well.
110. Playdough Number Activity
Use a white table cloth and draw incomplete faces on it and let your child use playdough to make faces! Some of these faces will need 2 eyes, or 1 mouth, 1 nose, 4 freckles. This playdough number activity teaches part of the face and counting!
111.
Playdough Math ActivityPlates, playdough, and foam dice is all you need for this fun playdough activity. Learn to count and number recognition with this simple math activity.
112. Math Fraction Art Project
Construction paper, glue sticks, and scissors is all you need to make fraction art! Fractions can be difficult to learn, and this is a super cute way to make it easy.
113. Mobius Strip
A mobius strip may look like a simple curly piece of ribbon or paper, but a mobius strip is a surface with a boundary. There is even a parametric equation for the mobius strip.
114. Counting With Yertle The Turtle By Dr. Seuss
Make your own turtles, and enjoy a Dr. Seuss story while you learn to count! This Yertle the Turtle math craft is super cute.
115. En Aquel Prado
En Aquel Prado is a fun animal counting story based on a poem. This is not only something fun to read, but after your child can draw out the story using the right number of animals.
116. Math Picture Book Activities
Make your own math picture book and add numbers, sticks, and other fun math crafts to each page.
117. Five Little Speckled Frogs
Five Little Speckled Frogs is a cute little preschool counting song. But once you’re done counting, don’t forget to make your own little frogs complete with flies!
118. Fun Edible Numbers
Learn about numbers, number recognition, with this fun edible numbers recipe. Each number is a delicious soft pretzel! Yum!
119. Number Cookies
Bake cookies, but each number cookie has a number of chocolate chips on it. Not only will this help with counting and number recognition, but they’re delicious!
120. DIY Number Gems
These DIY number gems are color, sparkly, and a great way to learn about numbers or use as token for other math games and math worksheets.
121. DIY Dice
Need a dice for your math games? Make your own DIY dice using stickers, paper, tape, and cardboard. Make your own board game!
122. Bottle Top Calculator
This is a cute little game that you can make using cardboard, markers, bottle lids, and stickers. This will help with letter bottle top calculator recognition!
Learn About Numbers with Counting Activities For 3-4 Year Olds
123. Number Chart
Use a number chart that goes to 100 and use number tabs to help your little one learn about number patterns.
124. Shapes and Money
Use coins to learn math! You can learn about shapes and money at the same time with this shape lesson. Make patterns, shapes within shapes, and more. Learn real life skills, counting, and other math ideas like larger numbers.
125. Homemade Puzzle
Make this homemade puzzle to learn to count. Not only is it a picture puzzle, everyone loves Mickey Mouse, but your preschooler and kindergartener will be able to count up to 16.
126. Train Counting Puzzle
What a fantastic way to learn early math skills. This train counting puzzle is so cute and helps your child not only learn to count, but problem solving as well.
127. Counting Popsicle Stick Puzzle
Not only will this counting popsicle stick puzzle help your preschooler learn numbers 1-10, but it also doubles as an art project. This is a great way to build your preschooler or kindergarten kid’s knowledge of numbers.
128. Estimation Jar
Estimation is a math term that is kind of like a puzzle. You’re guessing how many their are and these estimation jar will give your child a great way to practice estimating. This is one of the best number sense activities.
Beginner Pre Number Activities
129. Free Montessori Math Videos
Want more preschool math activities? These free Montessori math videos will give you some math help. Not in the sense of teaching you to count, but will help you put together a proper math lesson for your child.
130. Counting In The Garden Book And Others
Using books like: Counting In The Garden, One Whole Bunch, Nana’s Garden, From The Garden…and others are great to teach your kids how to count.
131. Learning Numbers With Counting Bears
What a great introduction to counting. If you’ve gotten some counting bears hoping to help your child learn, we have a list of different ways to use them to make learning numbers fun and easy.
132. Counting Ideas
Need more ideas for your toddler, preschooler, or kindergartener’s math lesson plan? These counting ideas vary from writing, counting, worksheets, playdough, and more.
133. Intuitive Math Skills
Wanting to know how you can encourage early intuitive math skills? There are so many good tips and tricks on how to do just that. This is one of my favorite fun number activities.
134. Hands-On Math Projects
We found some great preschool number activities. Want some hands-on math projects for your lesson plan? There 6 math projects are great for preschoolers and kindergarteners.
135. Get Preschoolers Excited For Math
Check out these early math concepts. Looking for ways to get preschoolers excited for math? Here are 20 amazing tips to do just that.
136. Math Picture Books For Kids
Do you need some supplements for your math lessons? These math picture books are absolutely perfect! Preschool kids will love these fun activities.
More Educational Activities For Kids From Kids ACtivities BLog:
Kids are naturally curious and love to learn more than just numbers! Nurture their minds with these educational crafts and activities!
- Free Educational Apps for Kids
- Lego Balance Scale STEM Project
- Flashlight Solar System
- 25 Fun Weather Activities and Crafts
- 10 Fun Math Games for Kids!
- Super Fun Math Games
- Fraction Game: Cookie Math
- FREE Printable Math Activities
- Fun math games
Comment below with your family’s favorite number crafts and activities!
Algebra and number theory | Mehmat BSU
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Name of discipline
Algebra and number theory (part 1)
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Course of study, specialty
1, Mathematics (scientific and pedagogical activity).
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Semester of study
1
4
Number of credits
4
5
Full name of lecturer
Voronovich I.I.
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The objectives of the study of discipline
Teaching students fundamental methods of general algebra, linear algebra, number theory; familiarity with the basic algebraic structures - groups, rings and fields; creation of a base for mastering the basic concepts and methods of modern mathematics; formation of the foundations of mathematical thinking among students; familiarity with the methods of mathematical proofs; study of algorithms for solving specific mathematical problems; instilling in students the ability to independently study educational and scientific literature in the field of mathematics.
As a result of studying the academic discipline, the student should be able to:
- perform operations with complex numbers in algebraic and trigonometric form, extract roots from complex numbers, apply De Moivre's formula;
- calculate determinants;
- perform operations on matrices;
- solve systems of linear equations;
- find the basis of a vector space, sums and intersections of subspaces, vector coordinates in a given basis, find the rank of a matrix and a system of vectors;
- find eigenvalues and eigenvectors of a matrix and a linear operator;
- bring the quadratic form to the canonical form;
- reduce an orthogonal operator to a canonical form;
- find an orthonormal basis, an orthogonal complement to a subspace;
- determine whether the given subset is a subgroup in a group, a subring or an ideal in a ring, a subfield in a field;
- perform calculations in a factor group, factor ring;
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Prerequisites
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Content of discipline
Integer arithmetic. Comparisons
Divisibility of integers and its properties. Division theorem with remainder. Greatest common divisor. Euclid's algorithm and GCD notation as an integer linear combination.
Coprime numbers, coprime criterion. Least common multiple. Prime and composite numbers, infinity of prime numbers. Fundamental theorem of arithmetic. Comparisons and their properties.
Deduction classes. Operations on classes of residues.
The Euler number-theoretic function, its multiplicativity. Euler's and Fermat's theorems. Solving linear comparisons from one unknown. Chinese remainder theorem.
Algebraic operation, basic algebraic structures
Algebraic operation. Properties of an algebraic operation: commutativity and associativity. Neutral element and symmetric elements of a set with respect to an algebraic operation. Theorems on the uniqueness of a neutral element and on the uniqueness of a symmetric element with respect to an associative algebraic operation.
Definitions of groups, rings, fields. Examples. Ring of residue classes. Reversible classes of residues. End fields.
Complex number field
Complex number field definition. Algebraic form of complex numbers. Complex conjugation. complex plane. Modulus and argument of a complex number, their properties.
Trigonometric form of a complex number. Operations on complex numbers in trigonometric form. De Moivre formula and its application in real calculations.
Geometric interpretation of operations with complex numbers. Extracting the root of a complex number. Roots from unity.
Matrices and their operations
Dimension Matrix Concept . Matrix types: square matrix, diagonal matrix, upper and lower triangular matrix, identity matrix, zero matrix, row vector, column vector. Matrix equality.
Operations on matrices: addition and multiplication of matrices, multiplication of a matrix by a scalar, transposition. Properties of operations on matrices. A polynomial in a matrix.
Permutations and substitutions
Definition of permutations and substitutions, their number. Inversions and orders, permutation parity. Transpositions and cycles. Multiplication of permutations and its properties, symmetric group.
Decomposition of a substitution into a product of independent cycles and transpositions. Permutation parity.
Determinants and their uses
Determinants of the second and third orders. Determinant of a square matrix of arbitrary order and its properties. Determinant of the transposed matrix.
Minors and algebraic additions. Laplace's theorem. Decomposition of the determinant in row and column. Triangular matrix determinant. Vandermonde determinant. Determinant of the product of square matrices.
Inverse Matrix: Existence Criterion and Calculation Methods. The complete line group. Cramer's theorem.
Polynomials in one and several variables
Polynomial ring in one variable over a field. The degree of a polynomial and its properties. Division theorem with remainder for polynomials. Greatest common divisor of polynomials, Euclid's algorithm. Relatively simple polynomials. Irreducible polynomials. Theorem on the decomposition of a polynomial into irreducible factors.
Polynomial value at point, polynomial root. Bezout's theorem and its consequences. Horner's scheme. Derivative of a polynomial and its properties. The multiplicity of the root of a polynomial. Fundamental theorem of algebra.
Canonical expansion of a polynomial over fields of complex and real numbers. Polynomials in variables. Symmetric polynomials.
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Recommended reading
1. Milovanov M.V., Tyshkevich R.I., Fedenko A.S. Algebra and analytic geometry. T. 1. Minsk: Amalfeya, 2001.
2. Milovanov M.V., Tolkachev M.M., Tyshkevich R.I., Fedenko A.S. Algebra and analytic geometry. T. 2. Minsk: Amalfeya, 2001.
3. Burdun A.A., Murashko E.A., Tolkachev M.M., Fedenko A.S. Collection of problems in algebra and analytic geometry. Minsk: University, 1999.
4. Monakhov V.S., Buzlanov A.V. Algebra and Number Theory: Workshop. Minsk: Ed. center of BSU, 2007.
5. Proskuryakov IV Collection of problems in linear algebra. M.: Nauka, 1974.
6. Faddeev DK, Sominsky IS Collection of problems in higher algebra. M.: Nauka, 1977.
7. Barkovich O.A. Algebra: tasks for practical exercises and independent work. At 2 pm Part 1. Introduction to Algebra. Minsk: BSPU, 2005.
8. Barkovich O.A. Algebra: tasks for practical exercises and independent work. At 2 pm. Part 2. Linear Algebra. Minsk: BSPU, 2006.
9. Kostrikin A.I. Introduction to algebra. T. 1-3. M.: Fiz.-mat. literature, 2000-2001.
10. Gelfand I.M. Lectures on linear algebra. M.: MTSNMO, 1998.
11. Kurosh A.G. Course of higher algebra. Moscow: Nauka, 1965 (and later editions).
12. Maltsev I.M. Fundamentals of linear algebra. M.: Nauka, 1970.
13. Faddeev D.K. Lectures on Algebra. M.: Nauka, 1984.
14. Vinberg E.B. Algebra course. M.: Factorial-press, 2001.
15. Vinogradov I.M. Fundamentals of number theory. M.: Nauka, 1976.
Further reading
16. Ireland K., Rosen M. A classic introduction to modern number theory. M.: Mir, 1987.
17. Van der Waerden Algebra. M.: Nauka, 1976.
18. Kostrikin A.I., Manin Yu.I. Linear algebra and geometry. M.: Nauka, 1983.
19. Kargapolov M.I., Merzlyakov Yu.I. Fundamentals of group theory. M.: Nauka, 1972.
20. Leng S. Algebra. M.: Mir, 1968.
21. Collection of problems in algebra. Ed. A. I. Kostrikin. M.: Nauka, 1987.
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Teaching methods
Verbal, visual, problematic, practical, dialogue-heuristic.
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Language of instruction
Russian
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Conditions (requirements), monitoring
- checking individual tasks,
- colloquium,
- control work.
Exam grade is based on:
40% - work in the semester,
60% - oral answer in the exam.
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Current certification form
Exam, test
Algebra i theory of the face
UMK Algebra and number theory
Synopsis of organized educational activities on FEMP topic: “The place of a number among other numbers, the composition of the number 4, 5 from two smaller numbers. Solving logical problems. (preparatory group) | Outline of a lesson in mathematics (preparatory group):
Summary of organized educational activities on FEMP topic: “The place of a number among other numbers, the composition of the number 4, 5 from two smaller numbers. Solving logical problems. (preparatory group)
GOALS:
Strengthen skills:
- Compare groups of objects, numbers on a visual basis;
- Determine the place of a number among other numbers in a series;
- Establish patterns in solving logical problems
- Fix the compilation of the number 4.5 from two smaller numbers.
The teacher draws the children's attention to an unusual tree. Instead of leaves, there are numbers on it (2 sets of different colors).
Educator: What an extraordinary magical tree! Guys, why is it magical?
Children: Because instead of leaves, numbers grow there.
Educator: Oh, guys, someone hid here. Want to know who?
Children: Yes!
Educator: Then guess the riddle:
This little girl wears
Red dress with polka dots.
And he knows how to fly deftly
This is ... (ladybug)Children find a ladybug with an envelope on a tree.
Ladybug: Hello guys! I have prepared many tasks for you. I will be very interested to play with you. Do you want to play?
Children: Yes!
The teacher takes out assignments from the envelope. Children sit on chairs.
Task 1: Name the neighbors of the number I will sit on.
2 task: Name what numbers the numbers 4.5 consist of.
3 task: Tear off all the numbers from the tree and quickly get together in teams according to the color of the numbers and in order. (Several numbers are missing in the number row)
4 task Go guys to the magic clearing. mushroom and 3 flowers.) How many leaves are in the clearing? How many flowers are in the meadow? How many mushrooms are in the clearing? What more? (The child answers: There are more leaves in the clearing than mushrooms and flowers.) What is less? (the child answers: There are the least mushrooms in the clearing.) How many fewer mushrooms than flowers? (The child answers: There are 1 fewer mushrooms in the clearing than flowers) How many more leaves than mushrooms in the clearing? (The child answers: There are 2 more leaves than mushrooms.
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