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 → Fractions ↓


Understanding Fourths


Understanding fractions may seem like a big idea, especially in Grade 1. But don't worry! Today, we will understand the concept of "fourth" in a very simple and fun way. We will explain it step by step with lots of examples. So, put on your math hat, and start this exciting journey into fractions!

What is the fourth one?

The word "quarter" means to divide something into four equal parts. Imagine you have a delicious pizza. You can divide the pizza into four parts so that you and your three friends can eat an equal amount of pizza. Each slice of pizza is one quarter of the whole pizza.

Fraction symbols

In math, we use a special symbol to show fractions like quarters. Here's what a quarter looks like in a fraction:

1/4

The number 1 on top is called the numerator, and it tells us how many parts we have. The number 4 on the bottom is called the denominator, and it tells us how many equal parts the whole is divided into.

Visualization of the fourth

To really understand quarters, it can be helpful to look at them visually. Let's draw some shapes and divide them into quarters.

Circle example

In this circle we have divided it into four equal parts by drawing two lines, one vertical and one horizontal. Each part is one fourth of the whole circle. Now, if you shade any one part, you can see what 1/4 looks like.

Rectangle example

Let's try with a rectangle too:

This rectangle is also divided into four equal parts. Like the pizza and the circle, each piece of the rectangle is a quarter. No matter how we look at it, 1/4 is always a piece of a whole that is divided into four equal parts.

Everyday examples of the fourth

Fourths are everywhere around us! Let's take a look at some everyday examples of how we use fourths in real life.

Money example

Suppose you have a dollar and you want to divide it into four equal parts. Each part will be worth 25 cents. This is because:

1/4 of a dollar = 25 cents

Clock example

The clock is another good place to look for fourths. If you divide an hour into four equal parts, each part is 15 minutes long. So, when you say "a quarter past," it means that 15 minutes of the hour have passed.

1/4 of an hour = 15 minutes

Measuring cup example

In the kitchen, you may find measuring cups that have quarts. If you're baking and a recipe calls for 1/4 cup of sugar, that means you're using one of four equal parts of a cup of sugar.

Practicing with the Fourth

Activity: Segmenting shapes

Let's practice dividing different shapes into quarters. You can use a piece of paper and a pencil to draw a square, a triangle, and an oval. Try dividing each shape into four equal parts.

  1. Draw a square and divide it by drawing two diagonal lines from corner to corner.
  2. Draw a triangle and try to divide it into four equal parts.
  3. Draw an oval shape and imagine cutting it into four equal parts.

Each part of your shapes represents a quarter. Is each part the same size? Remember, for a fraction to be a true quarter, each part must be exactly the same size.

Practice: Calculation

1. If you have 4 apples and you want to share them equally with three friends, how many apples will each friend get?

Answer: Each friend gets 1 apple, which is 1/4 of the total apples.

2. If a pizza is cut into 8 pieces and you eat two pieces, how many quarters of the pizza have you eaten?

Answer: Since 2 slices equal 1/4 of the pizza (because 4 slices is 1/2 = 2/4, and eating two slices is half of that).

Why is it important to understand IVs?

Understanding quarters is important because it helps us learn how to divide something into equal parts. This is a skill we use in many areas of life, such as cutting pizza or sharing toys. When you understand fractions like quarters, you develop better math skills for future subjects.

The fourth fraction also helps us measure things properly, whether it's time, money, or ingredients in a recipe. By knowing fractions, you can make sure everyone gets a fair share and everything is balanced.

Conclusion

And that's the magic of quarters! By dividing things into four equal parts, we can better understand the world around us. We can share equally, measure accurately, and develop our brains to think mathematically.

Fourth fractions may seem difficult, but once you start practicing and seeing them in your daily life, they become easy. Keep drawing, cutting, and visualizing fourth fractions, and soon you will master this important mathematical concept.

Remember, math is like a puzzle. The more pieces you put together, the clearer the whole picture becomes. So keep exploring fractions and enjoy the journey!


Grade 1 → 8.2


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Understanding Halves
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Understanding Fourths

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