Grade 1
  1. Numbers and Counting  1.1. Counting to 10  1.2. Counting to 20  1.3. Counting to 50  1.4. Counting to 100  1.5. Writing Numbers 1 to 10  1.6. Writing Numbers 1 to 20  1.7. Writing Numbers 1 to 50  1.8. Writing Numbers 1 to 100  1.9. Reading Numbers 1 to 10  1.10. Reading Numbers 1 to 20  1.11. Reading Numbers 1 to 50  1.12. Reading Numbers 1 to 100  1.13. Comparing Numbers  1.14. Ordering Numbers  1.15. Odd and Even Numbers  1.16. Number Patterns  1.17. Skip Counting by 2s, 5s, and 10s  1.18. Understanding Zero
  2. Basic Addition and Subtraction  2.1. Understanding Addition  2.2. Addition Facts within 10  2.3. Addition Facts within 20  2.4. Adding Zero  2.5. Adding One More  2.6. Adding Two More  2.7. Adding Three More  2.8. Adding Using Pictures  2.9. Addition Word Problems  2.10. Understanding Subtraction  2.11. Subtraction Facts within 10  2.12. Subtraction Facts within 20  2.13. Subtracting Zero  2.14. Subtracting One  2.15. Subtracting Two  2.16. Subtraction Using Pictures  2.17. Subtraction Word Problems  2.18. Introduction to Doubles Facts  2.19. Introduction to Making 10
  3. Place Value and Number Sense  3.1. Understanding Tens and Ones  3.2. Counting by Tens  3.3. Place Value within 20  3.4. Place Value within 50  3.5. Place Value within 100  3.6. Reading and Writing Two-Digit Numbers  3.7. Comparing Two-Digit Numbers  3.8. Decomposing Numbers
  4. Measurement  4.1. Length  4.1.1. Comparing Lengths  4.1.2. Measuring with Non-Standard Units  4.1.3. Using Standard Units (Inches and Centimeters) in Length  4.2. Weight  4.2.1. Comparing Weights  4.2.2. Heavy and Light Objects  4.2.3. Introduction to Grams and Pounds  4.3. Capacity  4.3.1. Comparing Capacity  4.3.2. Full and Empty  4.3.3. Introduction to Liters and Milliliters  4.4. Time  4.4.1. Telling Time to the Hour  4.4.2. Telling Time to the Half Hour  4.4.3. Days of the Week  4.4.4. Months of the Year  4.4.5. Understanding Yesterday, Today, and Tomorrow  4.5. Money  4.5.1. Recognizing Coins  4.5.2. Counting Coins  4.5.3. Introduction to Dollar and Cents Symbols  4.5.4. Simple Addition and Subtraction with Money
  5. Geometry  5.1. 2D Shapes  5.1.1. Recognizing 2D Shapes  5.1.2. Drawing 2D Shapes  5.1.3. Naming 2D Shapes  5.1.4. Properties of 2D Shapes  5.1.5. Sorting 2D Shapes  5.1.6. Composing Simple Shapes  5.2. 3D Shapes  5.2.1. Recognizing 3D Shapes  5.2.2. Naming 3D Shapes  5.2.3. Properties of 3D Shapes  5.2.4. Sorting 3D Shapes  5.3. Position and Direction  5.3.1. Left and Right  5.3.2. Above and Below  5.3.3. Inside and Outside  5.3.4. Near and Far  5.3.5. In Front and Behind
  6. Patterns and Sorting  6.1. Recognizing Patterns  6.2. Extending Patterns  6.3. Creating Patterns  6.4. Sorting by Color  6.5. Sorting by Shape  6.6. Sorting by Size
  7. Data and Graphing  7.1. Introduction to Data  7.2. Collecting Data  7.3. Tally Marks  7.4. Bar Graphs  7.5. Picture Graphs  7.6. Interpreting Simple Graphs
  8. Fractions  8.1. Understanding Halves  8.2. Understanding Fourths  8.3. Dividing Shapes into Equal Parts  8.4. Identifying Equal and Unequal Parts

Grade 1 → Geometry → 2D Shapes ↓


Sorting 2D Shapes


Sorting 2D shapes is an essential part of learning geometry in the early stages of education. In this guide, we will explore the world of 2D shapes, discuss their characteristics, and learn how to sort them effectively. 2D shapes, or two-dimensional shapes, are flat figures that have length and width but no depth. They are everywhere in the world around us, from the pages of books to table surfaces.

Understanding 2D shapes

Before we get into sorting, let's understand what 2D shapes are. Common 2D shapes that children are exposed to at an early age include:

  • circle
  • square
  • rectangle
  • triangle
  • hexagon

These shapes can be classified mainly on the basis of their sides and angles.

Circle

A circle is a 2D shape with no sides or corners. All points on the boundary of a circle are equidistant from its center.

The formula to calculate the circumference of a circle is given as:

C = 2πr

Where C is the circumference and r is the radius.

Square

A square is a 2D shape with four equal sides and four right angles (90 degrees). It looks like this:

The formula to find the area of a square is:

A = s²

where A is the area and s is the side length.

Rectangle

A rectangle has four sides, with opposite sides being equal in length. It also has four right angles. Here is a rectangle:

The formula for finding the area of a rectangle is:

A = l × w

Where l is the length and w is the width.

Triangle

Triangles have three sides and there are several types: equilateral, isosceles and scalene. Here's a simple triangle:

The formula to find the area of a triangle is:

A = ½ × b × h

where b is the base and h is the height.

Hexagon

A hexagon has six sides. A regular hexagon has all the sides of the same length. Below is a hexagon:

The formula to calculate the area of a regular hexagon is:

A = (3√3/2) × s²

where s is the length of a side.

Sorting 2D shapes by sides and vertices

To sort 2D shapes, we can look at their sides and vertices. The number of sides or edges in a shape helps to classify them. Let's understand this in a better way:

Shapes with no sides

  • Circle: A shape that has no sides or vertices.

Circles are unique because unlike other 2D shapes, they have no edges.

Four-sided shapes

  • Square: Four equal sides, four vertices.
  • Rectangle: Opposite sides are equal, have four vertices.

Both square and rectangle are quadrilaterals because they have four sides.

Three-sided shapes

  • Triangle: Three sides, three vertices.

Triangles are the simplest polygons and can be classified as equilateral, isosceles and scalene triangles based on the angles.

Shapes with more than four sides

  • Hexagon: Six sides, six vertices.

These shapes are called polygons. The term "polygon" refers to any shape that has multiple straight sides. Another example, although not as common in early grade levels, is a pentagon with five sides.

Sorting by angles

Angles can also help us sort out shapes. Let's look at the two main types of angles in these shapes:

Right angles

Shapes that have at least one right angle (a 90 degree angle) include squares and rectangles.

No angles

Circles have no angles, which makes them easy to distinguish from other shapes.

Different angle types

Triangles can have different types of angles. Some common triangles based on angles are as follows:

  • Right-angled triangle: It has a right angle.
  • Acute triangle: All angles are less than 90 degrees.
  • Obtuse-angled triangle: One of its angles is more than 90 degrees.

Activities to practice sorting 2D shapes

Here are some simple activities to help children sort 2D shapes:

Shape sorting game

Gather various cut-outs of 2D shapes in different colours and sizes, including circles, squares, rectangles, triangles and hexagons. Ask children to sort them into groups based on the type of shapes.

Match the shapes

Draw different 2D shapes on a paper and cut out the same shapes from another sheet. Ask the children to match the cut out shapes with the drawn ones and place them over the corresponding pictures.

Calculate the sides

Give children worksheets showing different 2D shapes. Ask them to count and match the sides of each shape. This promotes recognition and counting skills.

Motif hunt

Ask children to find shapes around the classroom or home. They can look for objects that are shaped like common 2D shapes and list them. For example, they may find a clock as a circle or a book as a rectangle.

Conclusion

Sorting out 2D shapes is a foundational skill in geometry, helping young learners identify and classify different shapes. By focusing on characteristics such as the number of sides and angles, children can engage in meaningful exploration of the shapes that make up such a large part of the world around them. By practicing through activities and exercises, concepts become familiar, making math enjoyable and accessible.


Grade 1 → 5.1.5


U
username
0%
completed in Grade 1

← Prev (5.1.4)
Properties of 2D Shapes
Next (5.1.6) →
Composing Simple Shapes

Comments 



Sorting 2D Shapes

https://www.buddymath.com/g1/5.1.5?bmal=en