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 → Position and Direction ↓


Near and Far


In geometry, it is important to understand the concept of position and direction, especially when explaining the ideas of "near" and "far." In grade 1, students begin to learn these basic concepts that help them navigate their world. By understanding "near" and "far," they can begin to understand the spatial relationships between objects. In this explanation, we will take a deeper look at what "near" and "far" mean and how they are used in geometry, through text and visual examples.

Understanding "Near"

When something is "near," it means that it is close to or a short distance from a given point or object. For example, if you are standing near a chair, you are near it. Objects that are close are often easier to see, reach, and touch without taking many steps.

Consider the following example:

        Object A: A book kept on the table.
        Object B: A lamp next to the book.
        
        Object B (lamp) is near object A (book).
Book Chirag

In the above visual example, the distance between the book and the lamp is small, which indicates that they are close to each other.

Understanding "Away"

On the other hand, when something is "far away," it means that it is a great distance from a given point or object. Faraway objects may not be easily reachable and may require many steps or movements to touch or interact with them.

Consider this example:

        Object A: A tree in the park.
        Object B: A bench at the other end of the park.
        
        Object B (the bench) is far from object A (the tree).
Tree bench

In this visual example, the long distance between the tree and the bench indicates that they are far away from each other.

Use of "near and far" in everyday life

Understanding the concepts of “near” and “far” is not limited to geometry. These terms apply to our daily lives and help us understand the environment around us. Here are some common scenarios where “near” and “far” are used:

  • When hosting a party, you can ensure that the food table is placed close to the guests for their easy access.
  • In the classroom, a student sitting far away from the board may have difficulty seeing it clearly.
  • In parks, parents often make sure their children play close to them for safety.

The importance of learning "near and far"

Learning about "near" and "far" is foundational to helping children develop spatial awareness. This understanding aids in later learning in math, geography, and even physical activities. The skills gained from understanding these simple concepts help children estimate distances, recognize patterns, and navigate efficiently in different spaces.

Explore with "Near and Far"

A fun activity to better understand "near" and "far" is to explore your surroundings. You can create a simple game in which you pick objects or places in your home or classroom, and guess whether they are near or far from you. Here's a simple way to do it:

Activity: Near or far play

  1. Choose a place to stand or sit.
  2. Look around and pick out an object.
  3. Decide whether the object is near or far from you.
  4. Walk to the object. Count the steps it takes to reach it.
  5. Repeat with different objects from different locations.

While playing this game, pay attention to which objects are near and which are far. Try to estimate the distance before starting to walk. This also improves your ability to estimate.

Expansion of the concept: "near" and "far"

Once you're familiar with "near" and "far," you can start thinking about "near" and "far." These words help compare two or more distances. For example:

        Object A: A toy lying on the floor.
        Object B: A toy on the sofa.
        Object C: A toy in the hallway.

        Object B (the sofa toy) is closer to you than object C (the hallway toy).
        Object C (the hallway toy) is further away from you than object A (the floor toy).
Floor toy Sofa Toy Hallway toy

By using "near" and "far", we can compare how close or far different objects are from a specific point or from each other. This understanding is the foundation for more complex mathematical concepts in later grades.

Conclusion

The concepts of "near" and "far" play an important role for Grade 1 students to develop spatial reasoning and understand positional language. They help children understand their environment by evaluating proximity and distance. With the help of examples and activities, children can master these concepts, which will increase their confidence and readiness for more complex spatial explorations in the future.

Always remember, these concepts are the first steps in mathematical learning and are excellent tools to engage children in their educational journey in a playful and interactive way.


Grade 1 → 5.3.4


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Inside and Outside
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Near and Far

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