Explore the ideas and history behind numbers, shapes, patterns and mathematical thinking. Choose an article below; its reading controls let you move between the available levels.
1,419 public articles · Page 12 of 30
For printable practice and answer guides, visit Maths worksheets.
We can follow a path with a pen. This path can be a curve. It can even be a loop. We use math to find things along these paths. This helps us solve hard puzzles. It can even help with science. Can you draw a loop?
Early Reader · Change the reading level on the articleSometimes things do not fit together. You cannot be both here and not here. It is like saying a cat is black and white at once. This helps us find the truth. Can you find things that fit?
Early Reader · Change the reading level on the articleSome ideas work in two ways. If it rains, you wear a coat. If you have no coat, it is not raining. Both ways are true. This helps us think. It is like a puzzle. Can you find a way to flip a rule?
Early Reader · Change the reading level on the articleSometimes we add numbers that never end. We want to know if they stay small. We can use special ways to check. These ways help us find the answer. It is like a math puzzle. Can you find a pattern?
Early Reader · Change the reading level on the articleYou can add many things together. Sometimes the total stays small. It gets closer to one number. This helps us find a sum. It is like a fun puzzle. Can you find a pattern?
Early Reader · Change the reading level on the articleTwo shapes can blend together. One shape moves over the other. They change how they look. This helps us see new things. It can even help us see better. Can you find shapes in your room?
Early Reader · Change the reading level on the articleMath helps us see patterns. We can mix two things together. This makes a new pattern. It is like mixing colors. It helps us understand sounds. Math is very cool! Can you find a pattern today?
Early Reader · Change the reading level on the articleYou can play a game with dots. Some dots live and some die. They follow simple rules. You watch them grow and change. It is fun to see what they do. Can you find a pattern?
Early Reader · Change the reading level on the articleDots can sit on a flat sheet. This flat sheet is a plane. Some dots stay on the same sheet. Other dots might pop out. This helps us see shapes. Can you find a flat sheet?
Early Reader · Change the reading level on the articleSome numbers share nothing in common. They do not have the same parts. For example, eight and nine are special. Only the number one fits into both. This helps us make things work well. Can you find two numbers like this?
Early Reader · Change the reading level on the articleYou can put things together. Imagine you have two small groups. You can make one big group. This big group holds both small ones. It is like a new home for them. Can you think of things to join?
Early Reader · Change the reading level on the articleSometimes one idea helps us find another. It is like a new step. If you know one thing, you can see the next thing fast. This makes math easy to use. It helps us learn more. Can you find a new idea today?
Early Reader · Change the reading level on the articleCorrado Segre loved math. He lived in Italy. He studied shapes and numbers. He taught many students. He helped make new ideas. He was a great teacher. Do you like math too?
Early Reader · Change the reading level on the articleThings often change together. One thing goes up when another goes up. We can use numbers to see this. It helps us see how things match. It is like a pattern. Do you see patterns in your day?
Early Reader · Change the reading level on the articleTwo things can happen at once. They might seem to go together. But one may not cause the other. A third thing might be the real reason. We must look closely to know. Do you see things like that?
Early Reader · Change the reading level on the articleYou can count many things. Use your fingers to count. You can use marks on paper too. Counting helps us know how many. It is a fun way to learn. Can you count your toys?
Early Reader · Change the reading level on the articleDots and lines make a special shape. Each dot has three lines. This shape is named for a man. It helps us study patterns. It is very neat to look at. Can you see the lines?
Early Reader · Change the reading level on the articleWe use math to solve puzzles. It helps us find missing numbers. One man found a way to do this. His name was Gabriel Cramer. It helps us learn how things work. Can you solve a math puzzle?
Early Reader · Change the reading level on the articleMath helps us see how things move. It can show how heat spreads. It can show how water flows. This helps us learn about the world. It is a very smart way to use numbers. Do you like to see how things change?
Early Reader · Change the reading level on the articleWe use math to guess things. We look for a group of numbers. Most of the right answers are in that group. It helps us know what is likely. It makes our guesses better. Can you guess a number?
Early Reader · Change the reading level on the articleA line can go up and down. It can reach a top or a bottom. These spots are special. We call them critical points. They help us see the shape of the line. Can you find a top or a bottom?
Early Reader · Change the reading level on the articleSometimes lines cross each other. This can make things messy. We want to find the fewest crossings. This helps us see things clearly. It can help us plan a factory. Can you draw lines without crossing?
Early Reader · Change the reading level on the articleThink about a block shape. Imagine making a big cube. How many small blocks did we use? A cube root helps us find that number. It is a fun math puzzle. Can you find a cube shape?
Early Reader · Change the reading level on the articleSome lines make a curvy shape. They can go up and down. They can even turn around. This helps us draw smooth paths. It is a fun way to see shapes. Can you see the curve?
Early Reader · Change the reading level on the articleSome lines are straight. Other lines bend. A bend can be small or big. A big bend is very sharp. A small bend is soft. This helps us see shapes. Can you find a bend?
Early Reader · Change the reading level on the articleImagine a path that goes in a loop. You start at one spot. You follow a line. Then you go back to the start. This is called a cycle. It is like a big ring. Can you find a loop like this?
Early Reader · Change the reading level on the articleSome things move in a circle. You can use one step to find every spot. It is like a pattern that repeats. This helps us see how shapes turn. It is a neat way to count. Can you find a circle?
Early Reader · Change the reading level on the articleImagine a wheel rolling on the ground. A tiny dot on the wheel makes a path. This path is a special curve. It looks like a series of hills. It helps things roll very fast. Can you find a wheel?
Early Reader · Change the reading level on the articleA cylinder is a round shape. It looks like a tube. It has two flat ends. These ends are circles. You can see them in a can. Can you find a cylinder in your house?
Early Reader · Change the reading level on the articleWe can find spots in a circle. You look how far to go. You look how far to turn. Then you look how high to go. It helps us find things in a tube. It is fun to use. Can you find a tube?
Early Reader · Change the reading level on the articleDaina loves math and yarn. She uses yarn to make shapes. She uses a hook to crochet. These shapes help people learn math. It is a fun way to see math. Can you crochet a shape?
Early Reader · Change the reading level on the articleWe look at facts to learn things. We find patterns in numbers. This helps us make good choices. It helps us solve puzzles. It is a way to see the world. Can you find a pattern today?
Early Reader · Change the reading level on the articleA decagon is a shape. It has ten sides. It also has ten corners. You can see it in patterns. It is a fun shape to draw. Can you find ten sides?
Early Reader · Change the reading level on the articleWe use marks in numbers. These marks show parts of a whole. Some people use a dot. Other people use a comma. It helps us read big numbers. Do you see marks in your numbers?
Early Reader · Change the reading level on the articleSome questions have only two answers. You can say yes or no. It is like asking if a number is special. We can use steps to find the answer. Some questions are too hard to solve. Can you think of a yes or no question?
Early Reader · Change the reading level on the articleWe all make choices every day. Sometimes it is hard to pick. You might pick a snack or a toy. We can think about what might happen. This helps us make good choices. What will you pick today?
Early Reader · Change the reading level on the articleImagine dots joined by lines. We can count the lines. We count how many lines touch one dot. This helps us see how things connect. It is like friends holding hands. Can you count the lines?
Early Reader · Change the reading level on the articleWe use math to count things. You can count lines and dots. It shows how many lines join at one spot. This helps us see how things connect. Math is all around us. Can you find a pattern?
Early Reader · Change the reading level on the articleMath helps us see shapes. It can show how things turn. We use it to find patterns. It helps us work with numbers. It is a fun way to learn. Can you find shapes today?
Early Reader · Change the reading level on the articleRules help us sort things. We can say one thing is not true. We can also change how we say it. This helps us with computers. It helps us find things. It is a smart way to think. Can you find patterns too?
Early Reader · Change the reading level on the articleYou can find your way through a maze. You go down one path as far as you can. If you hit a wall, you turn back. This helps you find the end. It is a smart way to look for things. Do you like mazes?
Early Reader · Change the reading level on the articleWe use numbers to tell a story. We can use one number to show a group. It helps us see how things look. It can show how a player plays. It can show how a student does. It makes a lot of facts easy. Can you find…
Early Reader · Change the reading level on the articleWe can use math to change size. Imagine a shape gets bigger or smaller. Some math tools do this work. They use a line of numbers to help. It can even change a shape. Do you like to make things big?
Early Reader · Change the reading level on the articleSome lines are very smooth. They do not have sharp turns. They do not have any breaks. They look like a gentle hill. This helps us see how things change. It is a neat way to look at shapes. Can you find a smooth line?
Early Reader · Change the reading level on the articleShapes can look smooth like a ball. We use maps to see them. These maps help us study how they change. This helps us learn about space. It is very cool! Do you like shapes?
Early Reader · Change the reading level on the articleMath helps us measure things. We can measure a line. We can measure a flat shape. We can even measure a big space. It helps us see how things change. It is a very cool way to look at the world. Can you find a shape…
Early Reader · Change the reading level on the articleMath helps us see how things change. It can show a tiny change. This change is very, very small. It is smaller than anything else. We use it to learn more. It helps us understand the world. Can you find things that…
Early Reader · Change the reading level on the articleMath can help us see how things change. It looks at how shapes grow or move. We can use it to solve puzzles. It helps us understand our world. Do you like to solve puzzles?
Early Reader · Change the reading level on the article