Mathematics · Primary 3

Active learning ideas

Equivalent Fractions

Equivalent fractions are a visual and conceptual hurdle for many students. Active learning strategies, like those employed in Stations Rotation, allow students to physically manipulate models and discover relationships, reinforcing abstract concepts through concrete experiences.

• MOE Syllabus Outcomes
• MOE: Numbers and Algebra - P3
• MOE: Fractions - P3

• 30–40 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Stations Rotation
• 30 min · Small Groups

Fraction Strip Equivalence

Students use pre-made fraction strips to find different combinations of smaller strips that perfectly match the length of a larger strip. They record the equivalent fractions they discover, such as 1/2 being equal to 2/4 or 3/6.

What does it mean for two fractions to be equivalent?

Facilitation Tip

During the Stations Rotation, ensure students spend adequate time at each station to fully engage with the manipulative or visual task.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Stations Rotation
• 35 min · Pairs

Area Model Matching

Provide students with grid paper and ask them to draw different rectangles. They then shade portions to represent fractions and explore how dividing the same shaded area into more parts (multiplying numerator and denominator) creates equivalent fractions.

How can you use a diagram to show that two fractions are equal in value?

Facilitation Tip

For the Gallery Walk, prompt students to use specific mathematical language when discussing their peers' area models, focusing on the proportional relationship.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Stations Rotation
• 40 min · Small Groups

Equivalent Fraction Sort

Prepare cards with various fractions and visual representations. Students work together to sort the cards into groups of equivalent fractions, justifying their choices by referring to the visual models or numerical relationships.

What pattern do you notice when you list the numerators and denominators of equivalent fractions?

Facilitation Tip

In Think-Pair-Share, encourage students to use their fraction strips or drawings to support their explanations during the pair and share-out phases.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

A few notes on teaching this unit

This topic is best approached by grounding the abstract concept of equivalence in concrete, visual representations. Start with manipulatives like fraction strips and progress to drawings like area models, explicitly demonstrating the multiplicative relationship (multiplying or dividing the numerator and denominator by the same number) rather than additive methods.

Students will confidently identify and generate equivalent fractions using multiple representations. They will be able to articulate why two fractions are equivalent, referencing visual models and the multiplicative relationship between numerators and denominators.

---

Watch Out for These Misconceptions

• During the Fraction Strip Equivalence activity, watch for students who believe 2/4 is smaller than 1/2 because the denominator 4 is larger than 2.

  Redirect students to physically lay the 2/4 fraction strip and the 1/2 fraction strip side-by-side, demonstrating they cover the same length and are therefore equivalent.

• During the Area Model Matching activity, students might add the same number to the numerator and denominator, incorrectly stating that 1/2 is equivalent to 2/3.

  Ask students to shade 1/2 of a rectangle and then try to shade 2/3 of an identical rectangle, showing they are different amounts, and then guide them to see how doubling the numerator and denominator of 1/2 (multiplying by 2) results in 2/4, which visually matches 1/2.

---

Methods used in this brief

• Stations Rotation