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 → Data and Graphing ↓


Tally Marks


Tally marks are a simple way to count things. It's easy and fun to use. If you want to know how many apples you have, or how many cars passed by, tally marks can help you. You draw lines to show the numbers. Every time you count something, you draw a line. After four lines, the fifth line goes across the first four lines. This group of five lines is called a tally group.

What do tally marks look like?

Tally marks are straight lines. Let's see how they are made:

1 = | 
2 = || 
3 = ||| 
4 = |||| 
5 = |||||

You see, each row represents one. When we get to five, the fifth row passes through four rows. This makes it easier to see the group of five.

Counting with tally marks

Now, let's try to count some things using tally marks. Let's say you have some pencils, and you want to count them.

You have 12 pencils. Let's use tally marks to count them:

1 2 3 4 5 = |||||
6 7 8 9 10 = |||||
11 12 = ||

Now you can see that 12 pencils are shown in two groups of five and two, which is easy to identify.

Steps to count with tally marks

Let's learn step by step how to count using tally marks:

  1. Pick up an object such as a marble or block. Let's say you have 18 marbles.
  2. Draw a line each time you count a marble.
  3. When you reach the fifth marble, draw a line between the four lines like this: 
    |||||
  4. Keep doing this until you've counted all the marbles. For 18 marbles, it looks like this:
    5. 5 marbles = |||||
10 marbles = |||||
15 marbles = |||||
plus 3 and = |||
  5. Now, just count the groups: three groups of five equals 15, and three equals 18. You've counted 18 marbles!

Why use tally marks?

Tally marks make counting easier, especially when you have a lot of things to count. This is a simple method, just use lines. No need to write long numbers.

Tally marks put items into groups of five, making counting easier. This is perfect for quickly seeing how many items there are.

Practice with tally marks

Let's practice the different things we can count:

Example 1: Counting cars

Imagine you are counting the cars that pass by your house. In one hour you count 22 cars. How would you record this on a tally mark?

5 cars = |||||
10 cars = |||||
15 cars = |||||
20 cars = |||||
plus 2 and = ||

Example 2: Counting apples

You have a basket full of apples and you want to know how many apples are in it. Suppose you discover that there are 31 apples in it.

5 apples = |||||
10 apples = |||||
15 apples = |||||
20 apples = |||||
25 apples = |||||
30 apples = |||||
plus 1 and = |

Example 3: Counting books

You are arranging book shelves and count 47 books. Let's write this down with tally marks.

5 books = |||||
10 books = |||||
15 books = |||||
20 books = |||||
25 books = |||||
30 books = |||||
35 books = |||||
40 books = |||||
Plus 7 and = |||||||

Fun ways to use tally marks

Here are some fun ways you can use tally marks:

  • Keep track of your score while playing the game.
  • If you have a store, count the number of people who come there.
  • Use these in a treasure hunt to find out how many clues you've collected.
  • Keep track of your workout sessions.

Conclusion

Tally marks are easy and fun to use. They help us count things quickly without having to write lots of numbers. They make it very easy to see groups of five and help when you have a lot of things to count.


Grade 1 → 7.3


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Collecting Data
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Bar Graphs

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Tally Marks

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