Grade 3/Fractions
Complete the Fraction Twin (604)
Students practice writing equivalent fractions by counting parts in visual models. They bridge visual understanding to numerical representation.
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Quick Tip
In the Second shape, count how many parts are shaded (top number), then count all parts (bottom number). Write your answer as a fraction.
Teacher Resources
Teaching Notes
Progression from recognition (603) to production. Students must carefully count both shaded and total parts in second shape. Common issue: rushing and miscounting. Encourage systematic counting: point at each section. Check: Does my answer make sense? Does it show the same amount as first fraction? Some students may try to see patterns in numbers rather than count - redirect to visual model.
Vocabulary
Equivalent Fractions: Fractions that name the same amount.
Numerator: The top number in a fraction.
Denominator: The bottom number in a fraction.
Common Mistakes
- Counting errors: especially with 6ths and 8ths
- Confusing which number is numerator vs denominator
- Trying to solve numerically instead of counting visually
- Not double-checking that answer represents same amount
- Copying first fraction numbers instead of counting second shape
- Incorrectly counting total parts.
- Not understanding equal parts.
- Misidentifying the whole.
- Ignoring the size of the whole.
Differentiation
SupportUse finger or pencil to touch each section while counting. Circle the shaded parts before counting. Complete only even-numbered problems (6 total). Peer support: work with partner, check each other's counting.
ChallengeHide second visual, determine equivalent numerically using patterns (multiply both numbers by same amount). Reverse challenge: Given 2/4, create visual showing equivalent. Find ALL possible equivalents for given fraction.
Discussion Questions
- What strategy helps you count accurately?
- How do you know your answer is correct?
- Did you notice any patterns in the numbers?
- When might you need to find equivalent fractions in real life?
- How can you tell if two fractions are equivalent?
- What happens to the number of parts when you find an equivalent fraction?
- Does the total amount change for equivalent fractions?
- Can you think of real-life examples of equivalent fractions?
Extension Activities
- Create equivalent fraction puzzles for classmates
- Use fraction strips to verify answers physically
- Pattern investigation: Chart all answers, look for number relationships
- Challenge: Find equivalent WITHOUT visual model, then verify with drawing
Parent Tip
Ask your child to divide a cookie or fruit into equal parts and name the fractions.
Learning Path
Skill Cluster
Fractions & Proportions
Estimated Time
18 minutes
Skills Practiced
equivalent writingfraction notation fluencyvisual to numerical translation
Prerequisites
- 603
- Understanding unit fractions
- Identifying shaded parts
- Counting equal parts
Next Steps
- Comparing fractions
- Simplifying fractions
- Adding fractions with like denominators
- Comparing Fractions with Models
- Simplifying Fractions Visually
- Adding Fractions: Like Denominators