Math solving game

20 Math Puzzles to Engage Your Students

It’s time for math class, and your students are bored.

It might sound harsh, but it’s true -- only about half of students report being engaged at school, and engagement levels only drop as students get older.

Math puzzles are one of the best -- and oldest -- ways to encourage student engagement. Brain teasers, logic puzzles and math riddles give students challenges that encourage problem-solving and logical thinking. They can be used in classroom gamification, and to inspire students to tackle problems they might have previously seen as too difficult.

Puzzles to Print

Take a crossword, and make it math: that’s the basic concept behind this highly adaptable math challenge. Instead of words, students use numbers to complete the vertical and horizontal strips. Math crossword puzzles can be adapted to teach concepts like money, addition, or rounding numbers. Solutions can be the products of equations or numbers given by clues.

Have students practice their addition, subtraction, multiplication and division skills by searching for hidden math equations in a word search-style puzzle. It can be adapted to any skill you want students to practice, and promotes a solid understanding of basic math facts.

Do your students love word problems? Try giving them some math riddles that combine critical thinking with basic math skills. Put one up on the board for students to think about before class begins, or hand them out as extra practice after they’ve finished their work.

Prodigy is an engaging, game-based platform that turns math into an adventure! While it’s not a math puzzle in the traditional sense, Prodigy uses many of the same principles to develop critical thinking skills and mathematical fluency.

Students complete curriculum-aligned math questions to earn coins, collect pets and go on quests. Teachers can deliver differentiated math content to each student, prep for standardized tests and easily analyze student achievement data with a free account.

KenKenKenKen

is a “grid-based numerical puzzle” that looks like a combined number cross and sudoku grid. Invented in 2004 by a famous Japanese math instructor named Tetsuya Miyamoto, it is featured daily inThe New York Times and other newspapers. It challenges students to practice their basic math skills while they apply logic and critical thinking skills to the problem.

Pre-algebraic puzzles use fun substitutions to get students ready to perform basic functions and encourage them to build problem-solving skills. They promote abstract reasoning and challenge students to think critically about the problems in front of them.As an added bonus, students who suffer from math anxiety might find the lack of complicated equations reassuring, and be more willing to attempt a solution.

Games 4 Gains

There are hundreds of ways to use dominoes in your math classroom, but this puzzle gives students a chance to practice addition and multiplication in a fun, hands-on way. You can have students work alone or in pairs to complete the puzzle.

2048

This online game and app challenges players to slide numbered tiles around a grid until they reach 2048. It’s highly addictive and not as easy as it sounds, so consider sending it home with students or assigning it after the rest of the lesson is over. It encourages students to think strategically about their next move, and it’s a great tool for learning about exponents.

Math in English

Kakuro, also called “Cross Sums,” is another mathematical crossword puzzle. Players must use the numbers one through nine to reach “clues” on the outside of the row. Decrease the size of the grid to make it easier for younger players, or keep it as is for students who need a challenge. Students can combine addition and critical thinking and develop multiple skills with one fun challenge.

Wikipedia

Magic square shave been around for thousands of years, and were introduced to Western civilization by translated Arabic texts during the Renaissance. While magic squares can be a variety of sizes, the three by three grid is the smallest possible version and is the most accessible for young students.

This is also a great math puzzle to try if your students are tactile learners. Using recycled bottle caps, label each with a number from one to nine. Have your students arrange them in a three by three square so that the sum of any three caps in a line (horizontally, vertically and diagonally) equals 15.

This activity uses the same materials and concept as the magic square, but asks students to arrange the numbers one to six in a triangle where all three sides equal the same number. There are a few different solutions to this puzzle, so encourage students to see how many they can find.

Sudoku is an excellent after-lesson activity that encourages logical thinking and problem solving. You’ve probably already played this classic puzzle, and it’s a great choice for your students. Sudoku puzzles appear in newspapers around the world every day, and there are hundreds of online resources that generate puzzles based on difficulty.

There’s a pretty good chance that by now, fidget spinners have infiltrated your classroom. If you want to counter that invasion, consider challenging your students to create flexagons. Flexagons are paper-folded objects that can be transformed into different shapes through pinching and folding, and will keep wandering fingers busy and focused on the wonders of geometry.

TransumThis puzzle

seems simple, but it just might stump your students. After setting up sticks in the required order, challenge them to make the fish swim in the other direction -- by moving just three matchsticks.

Cool Math 4 Kids

This puzzle challenges students to connect all the dots in a three by three grid using only four straight lines. While it may sound easy, chances are that it will take your class a while to come up with the solution. (Hint: it requires some “out of the box” thinking.)

While they don’t always deal directly with math skills, brain teasers can be important tools in the development of a child’s critical thinking skills. Incorporate brain teasers into a classroom discussion, or use them as math journal prompts and challenge students to explain their thinking.

Bonus: For a discussion on probability introduce an older class to the Monty Hall Problem, one of the most controversial math logic problems of all time.

17. Tower of Hanoi

This interactive logic puzzle was invented by a French mathematician named Edouard Lucas in 1883. It even comes with an origin story: According to legend, there is a temple with three posts and 64 golden disks.

Priests move these disks in accordance with the rules of the game, in order to fulfill a prophecy that claims the world will end with the last move of the puzzle. But not to worry -- it’s going to take the priests about 585 billion years to finish, so you’ll be able to fit in the rest of your math class.

Starting with three disks stacked on top of each other, students must move all of the disks from the first to the third pole without stacking a larger disk on top of a smaller one. Older students can even learn about the functions behind the solution: the minimum number of moves can be expressed by the equation 2n-1, wherenis the number of disks.

Wikipedia

Tangram puzzles -- which originated in China and were brought to Europe during the early 19th century through trade routes -- use seven flat, geometric shapes to make silhouettes. While Tangrams are usually made out of wood, you can make sets for your class out of colored construction paper or felt.

Tangrams are an excellent tool for learners who enjoy being able to manipulate their work, and there are thousands of published problems to keep your students busy.

Str8ts

Similar to Sudoku, Str8ts challenges players to use their logic skills to place numbers in blank squares. The numbers might be consecutive, but can appear in any order. For example, a row could be filled with5, 7, 4, 6and8. This puzzle is better suited to older students, and can be used as a before-class or after-lesson activity to reinforce essential logic skills.

Is it magic? Is it geometry? Your students will be so amazed they might have a hard time figuring it out. Have them model the problem with strips of paper and see for themselves how it works in real life. With older students, use mobius bands to talk about geometry and surface area.

Math puzzles encourage critical thinking

Critical thinking and logic skills are important for all careers, not just STEM-related ones. Puzzles challenge students to understand structure and apply logical thinking skills to new problems.

A study from the Eurasia Journal of Mathematics, Science and Technology Education found that puzzles “develop logical thinking, combinatorial abilities, strengthen the capacity of abstract thinking and operating with spatial images, instill critical thinking and develop mathematical memory.”

All these skills allow young students to build a foundation of skills they’ll draw on for the rest of their lives, no matter what kind of post-secondary route they pursue.

Math games can help students build a basic understanding of essential math concepts, and as another study shows, can also help them retain concepts longer.

In the study, early elementary students gradually moved from using the “counting” part of their brains to complete math problems to the “remembering” part that adults use, suggesting math puzzles and repeated problems can help build the essential skill of math fluency.

Many of the math puzzles above allow students to practice essential addition, subtraction, multiplication and division skills, while advanced or modified problems can be used to introduce pre-algebraic concepts and advanced logic skills.

No matter what curriculum you’re using, there’s a good chance it emphasizes problem-solving, critique and abstract thinking. This is especially true of Common Core math and similar curricula.

How Math Skills Impact Student Development

Math puzzles allow students to develop foundational skills in a number of key areas, and can influence how students approach math practically and abstractly. You can also tie them into strategies like active learning and differentiated instruction.

Instead of just teaching facts and formulas, math puzzles allow you to connect directly with core standards in the curriculum. You can also use them to provide a valuable starting point for measuring how well students are developing their critical thinking and abstract reasoning skills.

Now that you’ve got some great math puzzles, it might be tricky to figure out how to best incorporate them into your classroom. Here are some suggestions for making the most of your lesson time:

If the problems are too easy, students will get bored and disengage from the lesson. However, if the problems are too difficult to solve, there’s a good chance they’ll get frustrated and give up early.

While math puzzles are a great way to engage your students in developing critical thinking skills, they’re not a tool for teaching important math concepts. Instead, use them to reinforce the concepts they’ve already learned.

Kitty Rutherford, a Mathematics Consultant in North Carolina, emphasizes that math puzzles and games shouldn’t be based solely on mental math skills, but on “conceptual understanding” that builds fluency over time. Math puzzles help build the essential balance between thinking and remembering.

Rachel Keen, from the Department of Psychology at the University of Virginia, conducted a study about problem-solving skills in preschoolers. She found that “playful, exploratory learning leads to more creative and flexible use of materials than does explicit training from an adult.”

Give your students space to struggle with a problem and apply their own solutions before jumping in to help them. If the problem is grade-appropriate and solvable, students will learn more from applying their own reasoning to it than just watching you solve it for them.

Use problems like the mobius strip to awe and amaze your students before drawing them into a larger discussion about the mathematical concept that it represents. If possible, make math puzzles physical using recycled craft supplies or modular tools.

Afterward, have a class discussion or put up math journal prompts. What methods did your students try? What tools did they use? What worked and what didn’t? Having students explicitly state how they got to their solution (or even where they got stuck) challenges them to examine their process and draw conclusions from their experience.

Be aware that it might take a while to get all your students on board -- they could be hesitant about approaching unfamiliar problems or stuck in the unenthusiasm that math class often brings. Consider creating a weekly leaderboard in your classroom for the students that complete the most puzzles, or work through a few as a class before sending students off on their own.

Instead of yawns and bored stares, get ready to see eager participants and thoughtful concentration. Whether you choose to use them as an after-class bonus, a first day of school activity or as part of a targeted lesson plan, math puzzles will delight your students while also allowing them to develop critical skills that they’ll use for the rest of their lives.

What are you waiting for? Get puzzling!

>>Create or log in to your teacher account on Prodigy– an engaging, game-based learning platform for math that’s easy to use for educators and students alike. Aligned with curricula across the English-speaking world, it’s used by more than a million teachers and 50 million students.

Math Games - SolveMyMath.com

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Welcome to our to math games section! These online games cover the basic skills needed for solving any math problem. Addition, multiplication, subtraction etc. and logic skills are the building blocks of further mathematical knowledge later on. And best of all they are free to play and will develop your children's appetite for math.

	Cannon Math - Help the family of acrobats perform their act by using your precision and math skills.		Addition Attack - Destroy the UFOs using your addition skills by shooting the correct answers to the questions with your laser cannon.
	Arithmetic Puzzle - Solve the puzzle presented to you by chosing the numbers that validate the equations.		Order the Balls - Prove you math skills by ordering the balls in ascending order. Three levels are included: natural numbers, integers and fractions!
	Dr. Brain - Help the doctor program his robot using your arithmetic skills.		Math Lander - Land your spaceship on the correct landing pad by solving the math questions.
	Seesaw Logic - Find out the heaviest item based on their relative weights and develop your logic skills.		More or Less - Interesting game where you have to ick up the most or least numbered group as fast as you can.
	Quick Math - Answer the mathematical questions as fast as possible by choosing the sign (+, -, *, /) that validates the equations.		Planes Division - Defend your base against incoming planes and practice mathematical division in our Division game
	Make Fractions - Improve your fraction skills with this game. Answer the fraction questions by counting the total number of parts and object is divided and the number of parts colored		Bar Charts Game - Learn to make bar charts in three different types and have fun at the same time! Great learning tool for all!
	Place Values - Answer Mr. Rabbit's questions by specifying the place value of a digit in a large number.		Aquarium Mutiples - Learn the numbers multiples and help our little fish survive in the Aquarium. In order to help our friend, click on the fish with number that is a multiple of the number on our fish
	Country Flags - Identify the country who's flag you see on the screen to earn points and pass the levels.		Alien Count - Improve your math skills and count the alien invaders in this fun math game.
	Mail Delivery - Help the small and quiet town of Quantum Village Mail by collecting the lost mail.		Country Capitals - Identify the country who's capital city you see on the screen to earn points and pass the levels.
	Equation Begone -Subtraction - Help defend our planet from invading aliens by skillfully answering these math subtraction questions.		Mutiplication Game 2 - Defend your ship and our planet from the alien intruders by destroying the alien ship containing the corrent answer to an equation.
	Mutiplication Game 1 - Assist our friendly farmer by helping him load the right number of sheep onto his tractor		Addition Game 2 - Exercise your math addition skills while preventing the aliens from invading our planet.
	Sheep Count - Improve your basic math counting skills by using our fun sheep counting game.		Geography Game - Demonstrate or improve your geography knowledge by naming the correctly identifying the US states
	Addition Game 1 - Learn basic math addition and help out our tractor driver deliver the right number of sheeps.		Subtraction Game 1 - Learn number subtraction online with this fun and easy-to-use math game.
	Expo Balls - Clear up all the balls from the screen using your logic skills

Top 10 math games in class for bored students K12

Here we have a list of 10 math games for class . It can be great icebreakers, brain breaks, or just games to play if you have some free time.

Learning is not easy in the world of Xbox and PlayStation. Math students, like all other students, experience all sorts of distractions, and with the digitization of just about everything around us, it’s hard for them to focus on their numbers…

…fun games to play in class anyway. If you're a math teacher and are struggling to capture the attention of students in the digital age, there are a few classroom math games that work. with rather than against students' often innate desire to play

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1. math games in the classroom cover almost all math topics, offering students fun regardless of the lesson. These games, from elementary to high school students, cover the whole gamut of simple concepts like addition and subtraction, to more complex ones like algebra and trigonometry.
2. Teachers can use these games to make lessons boring more enjoyable . Younger students can play as cute colorful characters to solve problems, while older students can get more addicted to puzzles.
3. Math games at school represent the curriculum in Novel, in a different way. At first glance, this looks like a normal fun game, but at each level of the game, students learn a new concept and a new strategy that helps to motivate and engage them in the subject.
4. Math games and quizzes at the end of the lesson can help students practice what they just learned in class. This helps to better understand the concepts and makes a long learning process more productive .

1. Country of Mathematics
2. AgaSlides
3. Math Game Prodigy
4. Komodo Math
5. Monster Math
6. Master of Mathematics
7. 2048
8. Quento
9. Cartoon Math
10. Mental Math Master

10 Math Games to Play in the Classroom

Here is a list of 10 interactive math games for students to help develop problem solving skills by overcoming fun math problems. Just bring them to the big screen and play them with your class, live or online.

Let's dive into ...

#1 - Math Land

Best for: Ages 4 to 12

To complete the level, students must use addition, subtraction, multiplication, division and counting to help the protagonist Ray navigate through different parts of the sea in search of hidden treasures.

MathLand has 25 levels full of surprises and challenges to help your students build core concepts with 100% attention and participation. All the main features of the game are free and compatible with all Android and IOS devices.

#2 - AhaSlides

Best for: Age 7 +

Naturally, there's always the option to make your own math game in class very quickly.

With the right quiz tool, you can create a math quiz for your students to complete together in class or alone at home.

The AgaSlides team math game that makes all your students buzz might be just what the doctor ordered for musty, unresponsive classrooms. All they need is a phone or tablet to send their responses in real time, just like Kahut.

As a bonus, AhaSlides has a free play tool. spinning wheel games, many of which are great for math. Use it to randomly select students, give random equations, or play tons of icebreaker math games together!

After a quiz or game, you can see how everyone did with a full class report showing the questions the students faced and the ones they did well.

For teachers, AhaSlides has an exclusive offer for just $1.95 per month, or completely free if you teach in small classes.

Take a free math test!

Best for: Ages 4 to 14

This game has a variety of activities to help you learn an impressive 900 math skills.

The Prodigy Math Game is specifically designed to teach fundamental math concepts and not only covers a wide range of RPG math quests, but also provides the teacher with the ability to easily track the progress of the entire class at once, as well as individual students.

It comes with an automatic assessment option that evaluates the student for their performance at any level of the game. All of these assessments happen in real time, eliminating the need to submit grades or repeat homework.

#4 - Komodo Math

Best for: Ages 4 to 16

Komodo Math is specifically designed to help both teachers and parents build math foundations for their kids. It works on a rewarding basis with personalized options that can be modified to suit student needs.

What's great about this classroom math game is that it's not just class-specific. Parents can also work with this app at home, and students can do math without having to be in the classroom.

It runs on a Duolingo-style leveling system and boasts a dashboard to help track progress. It shows how well the student is doing and also helps to highlight the categories in which the student is having difficulty.

Komodo Math is compatible with regular Android and IOS phones and does not require a special device.

#5 - Monster Math

Best for: Ages 4 to 12

Monster Math helps kids practice math while having fun and having fun with very well thought out storylines and characters.

The game allows students to play the role of a monster who must fight enemies to protect one of his friends. To complete a level, students must work within a limited time to find the correct answer, otherwise they will not be able to move on.

This is a simple game that teaches simple calculation and arithmetic problem solving skills under time constraints.

#6 - Math Master

Best for: Ages 12+

Math Master is perhaps the most appropriate interactive math game for learners of all ages: kids as young as 8 enjoy simpler things and adults as global tasks.

It has categories of arithmetic problems that can be solved individually, such as division or subtraction problems, or if you want to mix it all up, you can get this as well.

It has true/false arithmetic problems, as well as equality and memory questions. While it doesn't have the same sense of adventure that other math games for learners on this list have, it's perfect for preparing for simple exams and helps overcome any difficulty students face when solving arithmetic problems.

#7 - 2048

Best for: Age 12 +

2048 , Math games in the classroom or even an online game is kind of a wildcard in this list. It's more like a puzzle game, but addictive enough for students to learn multiplication as they go.

It works on a grid of tiles, each with a number that merges when you place two tiles with the same number. This game is perfect for most learner ages, but perhaps best suited for older learners as it requires a unique strategy to try and hit the total 2048.

While this mostly works as a puzzle, it certainly increases classroom engagement and can act as a great icebreaker as students are likely to be thinking about numbers for a long time.

2048 is a free game compatible with Android and IOS devices. You can also play it on a laptop using the link above for better viewing in class.

#8 - Quento

Best for: Ages 12+

Speaking of puzzles. Quento is a unique and enjoyable classroom math puzzle game for students of all age groups (but perhaps best for older students).

In Quento, students must complete a number by adding or subtracting the various available numbers. It works with simple addition and subtraction of numbers, but like 2048, it works with moving tiles to available spaces.

If the sum of number tiles equals the target number, the player receives a star; once all the stars are unlocked, the player can move on to the next round. This is a colorful and addictive puzzle game with various tasks and arithmetic problems.

This is also a great logic game as it helps students think on multiple levels at once.

#9 - Cartoon Math

Best for: Ages 6 to 14

Cartoon Math, Classroom Math Games is a fun school math game, and not just in the sense that it is with suspicion is similar to the popular game Temple Run .

In the game, the student's character is being chased by a monster, and the student must use the concepts of addition, subtraction, multiplication to get away from it. Specifically, the students encounter math problems along the way, and they must jump onto the track with the correct answer to keep the monster running.

This is a very cute, interesting and well structured game that is ideal for children from grades 1 to 5 learning basic arithmetic.

Aside from copyright infringement, it has a good balance of adventure, fun and a sense of learning that Temple Run certainly doesn't have.

Basic Toon Math features are free, but upgrades can cost up to $14.

#10 - Master of Mental Mathematics

Best for: Ages 12 +

Mental Math Master , Classroom Math Games, as the name suggests, is a mind game. There are no adventures, characters or storylines here, but the game has interesting and challenging levels, each requiring a new strategy and approach to problem solving.

Because of this, it is better suited for older students than younger ones. This also applies to the content of the game, which focuses a bit more on higher levels of mathematics, including logarithms, square roots, factorials, and other more advanced topics.

The questions themselves are not so simple; they require a bit of sharp thinking. This makes it the perfect math class game for students who want to test their math skills and prepare for even more difficult arithmetic problems.

Math games for preschoolers and first graders

The development of a child's mathematical abilities is one of the aspects of preparing for school. It can be difficult for a preschooler to operate with numbers, so experts advise starting a child’s acquaintance with numbers and mathematical calculations from games. Complex and sometimes boring examples and tasks do not cause rejection in the baby when they are presented in the form of interesting colorful tasks.

If a child understands at an early age that mathematics is exciting and fun, it will be much easier for him to master the school subject. By the way, mathematical games develop not only the skills of working with numbers, but also logic and non-standard thinking. What are the mathematical games for preschoolers - in our material.

Math games for 4-5 year olds

Math games for preschoolers 4-5 years old include simple math examples for addition and subtraction within 10.

1. Mathematical game "Labyrinth"

In this mathematical game, the child is faced with the task of seeing the pattern, passing the maze and helping the squirrel find the acorn.

Print the picture. Give the child a pencil. Let him draw a path along which the squirrel can get to the acorn.

The squirrel has started its journey. She took two steps. What is the difference between 3 and 1? How much more is it? And the number 5 compared to 3? It is desirable that the child himself see the pattern (adding 2 to each previous number). But if it doesn’t work out, don’t worry — explain. Calculate the next step together, and then let the baby go on his own.

2. Math crossword

If a child can count to 10, they may be interested in doing a math crossword.

Print out the crossword. Tell your child how to work with a mathematical crossword puzzle, how the numbers fit into it. You can explain such concepts as "horizontal" and "vertical".

Explain that each row and column must have correct equalities. Emphasize that a mathematical crossword puzzle differs from the usual example in that an unknown number can appear anywhere in it.

Show that in a crossword it is better to solve the examples not in an arbitrary sequence, but by moving from one intersection to another. And it is very important to do everything right, because a mistake in one place will lead to inaccuracies in another.

3. Mathematical game "Count the beads"

As in other examples, the picture can be printed.

There are two different tasks here.

On the left picture there are beads that you need to count and write the answers below, as shown in the first picture. Do not give the child the task right away - invite him to think about what the numbers below (in the first picture) mean. Perhaps he himself will find a correspondence between the number of beads and the number below. In this case, he will easily enter all the correct answers.

On the second, right, block of pictures, the number of beads is the same everywhere, and the number of filled beads is signed below. The kid can also guess about this on his own. After that, he will gladly color the required number of beads in each picture.

With this activity you can explain to your child what an abacus is and how to use it.

4. Mathematical game “Take the bear to the bear cub”

Examples are written on the ice. In this game, the child must complete each task and write the answer on the ice. After that, you can pave the way of the bear to the bear cub along the ice, on which the numbers 1, 2, 3 are written, and then in order up to 10.

Math games for preschoolers 6-7 years old

Math games for children 6-7 years old are a little more difficult and suitable for kids who can count to at least 20 and solve addition and subtraction problems in two steps.

1. Mathematical game "Insert the missing number"

The meaning of this mathematical game is to insert numbers into empty cells that come in sequence before, between or after a given number.

Thus, the child's idea of ​​the "number line" is formed.

For convenience, you can first draw this line, on which numbers are indicated from left to right, increasing each time by one. Then the baby will understand what “before”, “between” and “after” means, and will easily do all the exercises.

2. Mathematical game “Put fruits in baskets”

Print the picture, cut out all fruits and baskets separately. The kid must solve a mathematical example that is written on a fruit and "put" it in the correct basket.

These examples show the child that the same number can be obtained in several ways.

Note that the example does not show the same number of ways to get different numbers. So, 7 is obtained by five options: 4 + 3; 7 - 0; 1+6; 2+5; 14 - 7. And 18 - three: 9 + 9; 20 - 2; 12 + 6.

Explain that there are other ways to get the number 18. Give an example or have the child come up with their own.

3. Mathematical game "Find a suitable umbrella"

In this math game, you need to match an umbrella to each cloud. To do this, the child must solve the examples written inside the cloud and the umbrella, and then place the cloud over the desired umbrella.

In this task, you can not cut anything, but simply connect pictures with the same answer. Each cloud corresponds to one umbrella.

Math games for 1st grade

Math games for schoolchildren are suitable for children who can count up to 30, complete examples in several actions and have a basic understanding of fractions.

1. A chain of mathematical examples

On the path of the butterfly to the flower, do all the suggested actions. Some of the numbers are already in circles, others must be entered by solving the examples given above.

This math task is not for the little ones: here you need to be able to count to at least 30.

2. Math game "How much does a salad cost?"

The picture shows vegetables and their "value". Below are plates with a different set of vegetables. Invite the child to calculate how much each salad “costs”.

3. What is the fraction in the picture?

Pictures will help explain to your child what fractions are.

The images show circles divided into equal parts. Some of them are painted over. First you need to calculate how many parts there are. Next - how many of them are painted over.

The essence of a fractional number is easy to explain in this way.

For the first example: the circle is divided into 4 parts; three out of four are shaded, i.e. three-fourths. This is referred to as 3/4.

Second example (below): there are 6 beats in the circle, four of the six are shaded - four sixths, 4/6.

This algorithm will allow the child to choose from the options presented the answer corresponding to each circle. To check how the kid understood the material, ask him to show an integer (not a fractional) number on one of the circles, painting over the required number of parts. He will cope with the task if he figured out how a fractional number is formed and how a fraction differs from a whole.

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