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Fraction Tiles Exploration

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Fraction Tiles Exploration

Fraction Tiles Exploration

Fraction tiles and mathematical symbols

🧩 Part 1: Building Fractions with Tiles

1. Use your fraction tiles to build ONE WHOLE in different ways. Draw your combinations below and write the equation.

Example: 2 halves = 1 whole → ½ + ½ = 1

Equation: _________________ = 1

Equation: _________________ = 1

2. Build these fractions using your tiles and draw them:

a) One half (½)

b) One third (⅓)

c) Two eighths (⅛ + ⅛)

Write as one fraction: ⅛ + ⅛ = _______

📏 Part 2: Fractions on Number Lines

3. Place these fractions on the number line by marking and labelling them:

Fractions to place: ½, ¼, ¾, 1, 1¼

4. Circle the correct answers about fractions on number lines:

Fractions less than 1 are placed to the left of 1

Fractions greater than 1 are placed to the left of 1

½ is exactly halfway between 0 and 1

🔢 Part 3: Fraction Combinations

5. Use fraction tiles to create these combinations. Write the equation and draw your model:

a) A fraction more than 1 but less than 1½

Equation: _______________ = _______

b) A fraction less than ¾ but more than ¼

Equation: _______________ = _______

6. Fill in the missing parts of these fraction equations:

¼ + ¼ + _______ = 1

⅓ + ⅓ + _______ = 1

½ + _______ + ⅛ = 1

🎯 Part 4: Fraction Vocabulary

7. Match the fraction terms with their meanings:
1. Numerator
2. Denominator
3. Unit fraction
4. Improper fraction
A. A fraction with 1 as the numerator
B. The bottom number in a fraction
C. A fraction greater than 1 whole
D. The top number in a fraction
8. Check all the unit fractions:

½

¾

2/5

🤔 Part 5: Reflection and Reasoning

9. What do you notice about fractions that are less than one whole? Write your observations:
10. Can you find another way to make 1½ using fraction tiles? Show your work:
11. Complete this pattern and explain the rule:

⅛ + ⅛ = ¼

¼ + ¼ = ½

½ + ½ = ___

1 + 1 = ___

What is the rule? ________________________________

12. Challenge: Convert these improper fractions to mixed numbers:

5/4 = _____ (Hint: How many wholes can you make?)

7/3 = _____

9/4 = _____

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