Fraction Detectives

Overview

Students represent, compare and explain simple fractions using concrete materials, diagrams and words. They build on equal sharing and multiplication knowledge, then apply their learning independently in “My Name in Fractions”. Students work in three ability-flexible groups of approximately eight, rotating through one teacher-led station and two partner stations.

Learning intentions

• WALT recognise a whole divided into equal parts.
• WALT use numerator and denominator language to describe fractions.
• WALT compare fractions with the same denominator.
• WALT represent and explain simple equivalent fractions.

Success criteria

• I can show a fraction using objects, a diagram or a number line.
• I can explain what the numerator and denominator tell me.
• I can compare fractions with the same denominator and justify my answer.
• I can find or identify equivalent fractions using a representation.

Vocabulary: whole, equal parts, fraction, numerator, denominator, unit fraction, equivalent, greater than, less than, equal to.

Curriculum links

• Te Mātaiaho Mathematics and Statistics — Number: rational numbers, including unit fractions and representing fractions.
• Te Mātaiaho Mathematics and Statistics — Number: comparing fractions with the same denominator.
• Te Mātaiaho Mathematics and Statistics — Number: identifying equivalent fractions through representations.
• Mathematical practices: reasoning, communicating mathematical thinking, and using representations to solve problems.

Lesson structure (60 minutes)

1. 0–5 min · Hook and prior knowledge. Display the opening fraction image showing two apparently different ways of sharing one chocolate bar. Ask, “Who has more? How do you know?” Students think, pair-share, and sketch a fraction they already know. Check that students understand a whole, sharing equally, and halves/quarters.

2. 5–15 min · Explicit teaching and modelling. Use the teaching and worked-example slides and demonstrate folding a paper strip into equal parts. Model that the denominator names the total number of equal parts and the numerator names how many parts are selected. Show unit fractions such as 1/3 and 1/5, then compare 2/6 and 5/6 using fraction strips: with the same denominator, the fraction with more selected parts is greater. Briefly fold a strip to show that 1/2 and 2/4 cover the same amount; explain that these are equivalent fractions. Emphasise that parts must be equal and ask students to justify each answer using “because”.

3. 15–18 min · Rotation instructions. Explain that groups rotate after 12 minutes, with a one-minute transition. Display the three-station instruction slide and assign students to groups flexibly, balancing confidence, independence and support needs. Students collect only the materials needed for their current station and use quiet mathematical talk.

4. 18–30 min · Rotation 1.

• Teacher station: Students build fractions with fraction circles or paper strips. Prompt: “Show 1/4. What does the 4 tell us? Show 3/4. Which is greater, 1/4 or 3/4? How do you know?” Year 4 learners find a matching equivalent representation, such as 1/2 and 2/4.
• Partner station: number line: Students use the fractions on a number line strategy mat to place 1/2, 1/4, 3/4 and 2/4 on a number line, explaining their placement to a partner.
• Independent worksheet station: Distribute the fraction representation and comparison worksheet. Students shade, label and compare fractions, then complete one explanation using a sentence frame.

5. 30–42 min · Rotation 2. Students move to the next station. At the teacher station, model and question with new examples, including 2/5, 4/5, 2/3 and 1/3. Ask, “What stays the same when denominators are the same?” and “Can you prove your answer with a strip or drawing?” At the number-line station, students order same-denominator fractions from least to greatest and identify a pair of equivalent fractions where possible. At the worksheet station, students complete comparison and representation tasks. Pause halfway for a whole-class “show me” check using fingers or mini-whiteboards.

6. 42–54 min · Rotation 3 and individual application. Complete the final rotation for 10 minutes, then students begin My Name in Fractions independently. Students write their name, count the total letters, choose a category such as vowels, consonants, letters with curves or letters with straight lines, and shade or mark the relevant letters. They write at least three fraction statements, for example, “3/8 of my letters are vowels”, and explain whether any statements are equivalent. Students may use a diagram or fraction strip to prove their thinking. Display the My Name in Fractions instructions and example.

7. 54–60 min · Share and assess. Invite two students to share one statement and its representation. Revisit the opening question and ask students to explain how their thinking has changed. Finish with the exit-ticket and reflection slide. Students complete an individual exit ticket: draw and label 3/4, circle the greater fraction (2/6 or 5/6), and explain whether 1/2 and 2/4 are equivalent.

Resources

• the complete fraction lesson slide deck
• the fraction representation and comparison worksheet
• Paper strips, fraction circles or pattern blocks
• Mini-whiteboards and pens
• Pencils, coloured pencils and rulers
• Prepared group labels and timer
• Exit-ticket slips
• Observation checklist

Assessment

• During modelling and the teacher station, record whether each student identifies equal parts, uses numerator/denominator language, compares same-denominator fractions, and explains reasoning.
• Listen for misconceptions: unequal parts being called fractions, believing a larger denominator always means a larger fraction, or confusing numerator and denominator.
• Use the exit ticket and “My Name in Fractions” statements to identify students needing further concrete practice and students ready for more complex equivalence.

Differentiation

• Support: Provide pre-divided fraction strips, fraction circles, large-print examples and the sentence frames “The denominator tells me…” and “___ is greater because…”. Allow students to build before drawing or writing.
• Concrete and language support: Pair students strategically, rehearse vocabulary orally, use gestures for whole/part, and accept labelled diagrams or oral explanations before written sentences. Read worksheet instructions aloud.
• Year 4 challenge: Ask confident learners to generate a second equivalent fraction, explain why 2/6 equals 1/3, or compare fractions with different denominators using a fraction wall or number line.
• Adjust group membership during the lesson in response to observation rather than treating groups as fixed ability levels.