# Math puzzles

Math puzzles are brainteasers that involve mathematical concepts and problem-solving skills. These puzzles can come in a variety of forms, such as riddles, word problems, or logic problems. They can be used to teach or reinforce mathematical concepts, as well as to challenge and engage students in critical thinking and problem-solving.

See the following puzzles to explore various Math concepts:

## Concept of Area and Measurement

The concept of area is a measure of the size of a two-dimensional region. It is typically measured in square units, such as square inches, square feet, or square meters. The area of a shape is determined by the size of its dimensions and the type of shape it is.

To find the area of a shape, you need to know the formula for that specific shape. For example, the formula for the area of a rectangle is length x width, the formula for the area of a triangle is 1/2 x base x height, and the formula for the area of a circle is pi x radius squared.

In addition to finding the area of a specific shape, students can also learn about the concept of perimeter, which is the distance around the outer edge of a two-dimensional shape. The perimeter of a shape can be found by adding up the lengths of all of its sides.

Measuring area and perimeter can be useful in a variety of real-world situations, such as determining the amount of paint needed to cover a wall, calculating the amount of fencing needed to enclose a garden, or finding the dimensions of a room for furniture planning. Understanding these concepts can also help students develop their spatial reasoning skills and their ability to solve problems involving measurement.

There are many ways to explore and learn about the concepts of area and perimeter beyond traditional textbook ideas. Here are a few examples:

Using Lego blocks to explore area and perimeter: Lego blocks are a fun and engaging way to explore geometry concepts, including area and perimeter. You can use Lego blocks to build different shapes and measure their area and perimeter using a ruler or other measuring tool. This can help students learn about and understand these concepts in a hands-on, interactive way.

Using simulations for area and perimeter: There are many online simulations and interactive tools that can help students learn about and practice area and perimeter. These simulations often allow students to manipulate shapes and measure their area and perimeter, providing a visual and interactive way to learn about these concepts.

Using Tangram as a mathematics tool: Tangram is a traditional Chinese puzzle game that can be used as a tool to explore geometry concepts, including area and perimeter. By manipulating the tangram pieces to fit together to form different shapes, students can learn about the relationship between the shapes and their area and perimeter.

Calculating area using graph paper: Graph paper is a useful tool for exploring area and perimeter, as it allows students to visually represent shapes and measure their dimensions. Students can use graph paper to draw shapes and count the number of squares inside the shape to calculate the area, or measure the length of the sides to calculate the perimeter.

Estimating errors and understanding accuracy and precision: When exploring area and perimeter, it is important for students to understand the concepts of error, accuracy, and precision. By estimating errors in their measurements and understanding the difference between accuracy and precision, students can learn to critically evaluate the reliability of their measurements and make informed decisions based on the data.

## What is Tangram?

Tangram is a traditional Chinese puzzle game that originated in the Song Dynasty (960-1279). It consists of seven flat pieces called tans that are arranged to form a square or rectangle. The objective of the game is to rearrange the tans to form a specific shape or figure, usually a square or a rectangle, using all seven pieces without overlap.

The tans are traditionally made of wood or cardboard and are cut into various geometric shapes, including two large right angle triangles, two medium right angle triangles, two small right angle triangles, and one square. The tans are placed on a flat surface, and players must manipulate them to fit together to form the desired shape.

Tangram is a popular puzzle game that requires spatial reasoning and problem-solving skills. It is played by people of all ages and is a popular activity for kids to learn geometry and spatial awareness. Some people also use tangram as a meditation or mindfulness exercise, as it requires focus and concentration. Watch the following video to know more about Tangram and how to explore Maths using Tangram:

## Using Tangram pieces to explore geometry concepts on graph paper to calculate area and perimeter

Using tangram pieces to explore geometry concepts on graph paper can be a hands-on and interactive way to learn about and practice these concepts.

Take graph paper and place all of the pieces on the paper individually. Draw each shape by tracing the pieces.

Calculate the area of a shape made with tangram pieces on graph paper, you can count the number of squares inside the shape. Each square on the graph paper represents a unit of area, so you can determine the area of the shape by multiplying the number of squares by the area of one square. For example, if the shape takes up 4 squares on the graph paper, and each square represents 1 square unit, the area of the shape would be 4 square units.

To calculate the perimeter of a shape made with tangram pieces on graph paper, you can count the number of sides of the shape and measure the length of each side. The perimeter is the total distance around the outside of the shape, so you can determine the perimeter by adding up the length of all the sides. For example, if a shape has 4 sides that are each 1 square unit long, the perimeter of the shape would be 4 square units.