Farm Fraction Track

Overview

Lesson 4 of 10 in Fraction Detectives in Action. Students use a giant 0-to-1 number line to place, name and explain unit fractions, connecting equal parts with movement, visual models and spoken counting. Plan for 18 students, with groups easily adjusted for a class of 22.

Learning intentions

• WALT place unit fractions on a number line from 0 to 1.
• WALT divide a whole into equal parts.
• WALT count in unit fractions to one.
• WALT explain why a fraction belongs at a particular position.

Success criteria

• I can divide a number line into equal parts.
• I can locate and label halves, thirds, quarters, fifths, eighths and tenths.
• I can count in unit fractions from 0 to 1.
• I can explain how I know where a unit fraction belongs.

Curriculum links

• Number: recognise, represent and locate fractions as equal parts of a whole.
• Number: use number lines to order and compare simple fractions.
• Mathematical language and communication: describe thinking using words, symbols and representations.
• Te Mātaiaho capabilities: make sense of mathematical situations, use tools and representations, and explain reasoning to others.

Lesson structure (60 minutes)

1. 0–7 minutes – Connect and notice Open with the farm-themed hook and learning intention slides. Show a picture of a farm track divided into equal sections and ask: “If the gate is 0 and the barn is 1, where could we stand to show one-half? One-quarter?” Gather predictions without correcting every answer. Introduce the words whole, equal parts and unit fraction.

2. 7–15 minutes – Teacher modelling Use a rope or chalk line to make a clear 0-to-1 number line. Model folding or measuring it into two equal parts, placing a student at one-half, and counting aloud: 0, one-half, one. Repeat briefly for thirds and quarters. Emphasise that the denominator tells how many equal parts the whole has and that a unit fraction names one of those parts. Refer to the number-line modelling slides.

3. 15–25 minutes – Build the giant track Outside or in a cleared space, create a 0-to-1 line with chalk, rope or cones. Work in three groups of six, or four groups if there are 22 students. Each group is given a denominator—halves, thirds, quarters, fifths, eighths or tenths—and must decide where the equal markers belong. Provide the fractions on a number line matching cards for pairs to match fraction labels with positions before placing them on the track.

4. 25–40 minutes – Become the fraction markers Students stand at selected points as human fraction markers. Partners take turns asking, “What fraction are you?” and “How do you know?” Students count in unit fractions along the track, for example, “one-fifth, two-fifths, three-fifths…” although the main focus remains the unit fraction. Rotate denominators so students experience several partitions. Use the activity instruction and discussion prompt slides to remind students to check equal spacing.

5. 40–50 minutes – Record and explain Distribute the fraction track recording sheet. Students draw or complete 0-to-1 number lines divided into halves, thirds, quarters and one chosen denominator. They label the unit fractions and answer: “How can you tell the parts are equal?” and “Which is closer to 0: one-fifth or one-eighth? Explain.” Encourage students to say their answer before writing it.

6. 50–56 minutes – Share and defend Invite pairs to explain one placement using the sentence frame: “I placed ___ at ___ because the whole is divided into ___ equal parts.” Discuss why unit fractions with larger denominators are smaller, using the giant track as evidence. Advanced learners estimate and defend the positions of unfamiliar unit fractions such as one-sixth or one-twelfth.

7. 56–60 minutes – Plenary check Return to the final challenge and reflection slides. Ask students to show with fingers or movement where one-half, one-quarter and one-eighth would be. Collect worksheets and listen for one clear explanation from each group.

Resources

• Slides deck: the complete farm fraction track slide deck
• Worksheet: the fraction track recording sheet
• Rope, chalk, cones or floor markers
• Large fraction labels and numeral cards
• Blu-tack or pegs
• Measuring tape or metre ruler
• Optional tactile markers such as beanbags or textured cards
• Outdoor or cleared indoor space

Assessment

• Observe whether students create equal intervals and correctly place unit-fraction markers.
• Question students about the denominator and listen for explanations using “equal parts”.
• Use the worksheet to check accurate labelling, counting and reasoning; note students needing further support in Lesson 5.

Differentiation

• Support: provide pre-marked number lines, large labels, tactile markers and a reduced choice of halves, quarters and eighths. Rehearse spoken counting while students move along the track.
• Dyslexia-friendly options: use uncluttered worksheets, large clear sans-serif print, strong contrast, short instructions and fraction symbols alongside words. Allow students to answer orally, point or use magnetic labels.
• EAL/SEN: model and repeat whole, equal, part, numerator and denominator with gestures and visuals. Pair students with a supportive peer and use the sentence frame during explanations.
• Extension: ask students to estimate and defend the positions of unfamiliar unit fractions, such as one-sixth or one-twelfth, then compare them with one-fifth or one-eighth.