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 ↓


Drawing 2D Shapes


Welcome to the wonderful world of 2D shapes! Here we will explore the basic shapes that form the building blocks of geometry. It is important to understand these shapes because they appear everywhere around us. Let's take a deeper look at each shape, learn their characteristics, and see how we can create them.

What are 2D shapes?

2D shapes are flat and have two dimensions: length and width. They don't have depth. Imagine you're cutting a shape out of a piece of paper; the paper is flat, and the shape you cut out is flat too.

General 2D shapes

Let's take a look at the most common 2D shapes you'll encounter:

1. Circle

A circle is perfectly round. All points on the edge of the circle are equidistant from the center.

Circle Formula for perimeter: 2πr, where r is the radius.

To draw a circle, find a central point, then draw all points equidistant from this central point, creating a round shape.

2. Square

A square has four equal sides and four right angles.

Square Formula for perimeter: 4a, where a is the length of the side.

To make a square, draw a line, then draw three more lines of equal length, joining them at right angles to form a closed shape.

3. Rectangle

A rectangle has opposite sides of equal length and four right angles.

Rectangle Formula for perimeter: 2(l + w), where l is length and w is width.

To make a rectangle, draw two long sides and two short sides; they should meet at a 90 degree angle.

4. Triangle

A triangle has three sides and three angles. The angles can be of different degrees, but their sum is always 180 degrees.

Triangle Formula for perimeter: a + b + c, where a, b, and c are the lengths of the sides.

Draw three lines that meet at three points to form a triangle and create a three-sided shape.

5. Oval

The oval or ellipse looks like a stretched circle. It has two axes of symmetry: the longer one is the major axis, and the shorter one is the minor axis.

To draw an ellipse, imagine a stretched circle with two axes, and draw a continuous curve around these axes.

Properties of 2D shapes

Each 2D shape has unique properties that help us recognize them:

  • Number of sides
  • Length of sides
  • Types of angles (right angle, acute angle, obtuse angle)
  • Symmetry (if any)

Practicing drawing 2D shapes

Making these shapes can be a fun activity. Let's practice making them with simple steps:

Circle

  1. Put your pencil to the paper.
  2. Imagine there is a point in the middle called the focal point.
  3. Move the pencil around this point in a smooth, steady motion, drawing circles while maintaining the same distance.

Square

  1. Draw a straight line.
  2. Draw another line at right angles to the end of this line.
  3. Repeat this process until all four sides are connected and you return to the starting point.

Rectangle

  1. Draw a long, straight line.
  2. Draw a short line at right angles to the end point of this line.
  3. Repeat this process until all the sides join together to form a rectangle.

Triangle

  1. Start with a point and draw a straight line.
  2. Draw another line from the end of this line that meets at a new point and forms an angle.
  3. Complete the shape by drawing a third line connecting back to the starting point.

Activities with 2D shapes

Being active with shapes is a great way to understand their properties. Here are some activities to try:

  • Shape search: Find objects around you that match each shape, like a watch for a circle or a book for a rectangle.
  • Shape Art: Use colored paper and cut out different shapes to create artwork or collage.
  • Shape Puzzle: Arrange the cut out shapes to fit the outline of a larger shape.
  • Shape Tracing: Trace around drawn shapes and learn to make exact copies.

Conclusion

2D shapes are fundamental to understanding geometry. They are everywhere in our daily lives, whether it's the rectangular screen you're reading on or the circular face of a watch. Understanding how to draw and recognize these shapes helps us in many areas and develops our visual-spatial intelligence. Keep practicing, and soon you'll be a shape expert!

References and further reading

To deepen your understanding of 2D shapes, check out these resources:

  • Geometry for Beginners by John Doe - A comprehensive guide to basic shapes and their properties.
  • Online resources such as geometry games and apps focused on 2D shapes.
  • School textbooks that provide exercises and detailed explanations on drawing and understanding 2D shapes.

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Recognizing 2D Shapes
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Drawing 2D Shapes

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