Fraction Number Line Counting

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$Number line with fractions illustration$

🎯 WALT (We Are Learning To)

Place numbers and common fractions (halves and quarters) on a number line from 1 to 10.

Success Criteria:

✓ Correctly identify and place whole numbers on a number line from 1 to 10
✓ Understand and place fractions ½, ¼, ¾ accurately between whole numbers
✓ Explain the relationship between fractions and whole numbers on the number line

📏 Part 1: Counting Fraction Spaces

Instructions: Look at each number line below. Count the spaces between each whole number and write the fractions in the correct positions.

1. Quarters Number Line: This line is divided into quarters (4 equal parts) between each whole number.
Count the spaces and write the fractions: ¼, ½, ¾

1 __|__ __|__ __|__ 2 __|__ __|__ __|__ 3 __|__ __|__ __|__ 4 __|__ __|__ __|__ 5

2. Halves Number Line: This line is divided into halves (2 equal parts) between each whole number.
Count the spaces and write the fraction: ½

1 ______|______ 2 ______|______ 3 ______|______ 4 ______|______ 5 ______|______ 6

3. Tenths Number Line: This line is divided into tenths (10 equal parts) between each whole number.
Count the spaces and write some fractions: 1/10, 2/10, 5/10, 8/10

1 _|_|_|_|_|_|_|_|_|_ 2 _|_|_|_|_|_|_|_|_|_ 3 _|_|_|_|_|_|_|_|_|_ 4

✏️ Part 2: Understanding Fractions

4. Circle the correct answer: What does ¼ mean?

1 out of 2 equal parts

1 out of 4 equal parts

4 out of 1 equal parts

5. Which fraction is bigger? Circle your answer:

They are the same

6. Complete this sentence:

Between the numbers 2 and 3, the fraction ½ would be placed _____________ in the middle.

7. If you walk ¾ of the way from 1 to 2 on a number line, how many quarter spaces have you walked?

8. Challenge Question: On the tenths number line above, which fraction is the same as ½?
Hint: Think about which tenth mark is exactly in the middle.

9. Explain in your own words: What is a fraction?