Mathematics · Junior Infants

Active learning ideas

Fractions: Equivalence and Simplification

Active learning helps young learners grasp equivalence and simplification because fractions are abstract until they see and handle equal parts. When children manipulate physical objects, they build mental images that connect symbols like 1/2 to real quantities, making comparisons and reductions meaningful.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Strand 3: Number - N.1.3

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 25 min · Pairs

Manipulative Matching: Fraction Equivalence Cards

Prepare cards showing 1/2 as a shaded circle, 2/4, and 3/6. Children match visuals to fraction names and build equivalents with linking cubes. Discuss why they match.

Compare different methods for finding equivalent fractions.

Facilitation Tip

Before starting Manipulative Matching, ask partners to describe their fraction cards aloud to reinforce vocabulary like numerator and denominator.

What to look for

Give students a paper plate divided into 4 sections and another divided into 8 sections. Ask them to shade 2 sections on the first plate and 4 sections on the second. Then, ask: 'Are these amounts the same? Write a sentence to explain why or why not.'

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

Activity 02

• Stations Rotation
• 30 min · Small Groups

Playdough Pizzas: Simplifying Shares

Children divide playdough balls into pizzas, cut into halves then quarters, and simplify by combining pieces. They compare 2/4 pizza to 1/2 and record with drawings.

Justify why simplifying a fraction does not change its value.

Facilitation Tip

While making Playdough Pizzas, circulate to prompt students to combine pieces and verbalize how many parts make the whole.

What to look for

Present students with two fraction bars, one showing 2/6 and another showing 1/3. Ask: 'How can we show these fractions are the same amount? What do we call fractions that are the same amount?' Facilitate a discussion about dividing the 2/6 bar into two equal parts to match the 1/3 bar.

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

Activity 03

• Stations Rotation
• 20 min · Individual

Paper Folding: Equivalent Strips

Give strips of paper; fold to show 1/2, then refold for 2/4. Children label, cut, and swap to find matches, explaining unchanged size.

Analyze how common factors are used in simplifying fractions.

Facilitation Tip

During Paper Folding, model how to fold one strip into halves and another into fourths, then lay them side-by-side to highlight matching lengths.

What to look for

Hold up interlocking cubes. Show a group of 6 cubes, with 2 of them red. Ask: 'What fraction of the cubes are red?' (2/6). Then, ask: 'Can we make this fraction simpler? How many groups of red cubes do we have if we put them together?' Guide them to see 1/3.

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

Activity 04

• Stations Rotation
• 35 min · Whole Class

Sharing Snacks: Fraction Circles

Use circle mats and counters for fair shares. Show 1/2 with two counters on 4 spaces (2/4), simplify by removing pairs, and compare values.

Compare different methods for finding equivalent fractions.

Facilitation Tip

As students share Snacks, pause to ask them to prove their fraction using the circle pieces before eating, reinforcing concrete-to-symbol connections.

What to look for

Give students a paper plate divided into 4 sections and another divided into 8 sections. Ask them to shade 2 sections on the first plate and 4 sections on the second. Then, ask: 'Are these amounts the same? Write a sentence to explain why or why not.'

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

A few notes on teaching this unit

Teachers should begin with real objects before symbols, letting children explore equivalence through partitioning and recombining. Avoid rushing to written work; instead, insist on oral explanations paired with visuals so students internalize the concept. Research shows that physical manipulation strengthens spatial reasoning, which supports fraction understanding more than drills alone.

By the end of these activities, students will confidently show equivalent fractions with concrete materials, explain why 2/4 equals 1/2 using visuals, and simplify fractions to their lowest terms with support. They will use language like same amount and simplest form when describing their work.

---

Watch Out for These Misconceptions

• During Manipulative Matching, watch for students who believe 2/4 is larger than 1/2 because the numbers are bigger.

  Have them physically place the 2/4 card over the 1/2 card on the fraction strip board to see the areas align, then ask them to count the sections to confirm they cover the same space.

• During Playdough Pizzas, watch for students who think simplifying a fraction makes it smaller.

  Ask them to roll two identical playdough pizzas, divide one into 4 equal slices and the other into 8. Then, combine two slices from the 8-slice pizza to match one slice from the 4-slice pizza, showing the amounts are the same.

• During Paper Folding, watch for students who believe equivalent fractions look different so they are unequal.

  Have them fold one strip into thirds and another into sixths, then unfold both to compare the creases side-by-side, counting the equal segments to prove they represent the same length.

---

Methods used in this brief

• Stations Rotation