North Otago Fraction Fair

Overview

In this final lesson of Fraction Detectives in Action, teams apply their fraction knowledge to a realistic North Otago context. Students model, solve and explain a challenge, then complete an individual check to show what they can do independently.

Learning intentions

• WALT apply fraction knowledge to solve and explain problems.
• WALT represent fractions using shapes, sets, quantities, measurements and number lines.
• WALT compare fractions, recognise equivalent fractions, and add or subtract fractions with the same denominator.
• WALT find the whole when given one-half, one-third or one-quarter.

Success criteria

• I can show a fraction using a model, drawing, number line or objects.
• I can compare fractions and identify equivalent fractions.
• I can add or subtract same-denominator fractions.
• I can find the whole when I know one-half, one-third or one-quarter.

Curriculum links

• Fractions and proportional thinking: representing, comparing and solving problems involving equal parts.
• Number: using additive strategies and mathematical relationships to solve practical problems.
• Measurement: applying fractions to length, capacity, area and quantities.
• Mathematical communication: explaining strategies, using representations and checking whether answers make sense.

Lesson structure (60 minutes)

1. 0–5 minutes – Welcome and learning goal

Open with the hook and learning intention slides. Display a North Otago farm, garden or water-tank image and ask: “Where might people use fractions in our community?” Share the WALT and success criteria in child-friendly language. Explain that today is the Fraction Fair—the final challenge in the unit.

2. 5–12 minutes – Quick fraction detective warm-up

Use the warm-up questions to show a shaded shape, a set of objects, a short measurement and a number line. Students think, pair and share: “What fraction is shown?”, “Which is greater?” and “What is the whole if one-third is 6?” Encourage students to justify answers with drawings or materials rather than guessing.

3. 12–17 minutes – Model how to solve and explain

Demonstrate a manageable example: “One-third of the seedlings is 6. How many seedlings are there altogether?” Build three equal groups with counters, draw the groups, write 6 + 6 + 6 = 18, and explain that the whole is 18. Briefly model how to record: model → number sentence → explanation → answer with units. Refer to the worked example and presentation checklist.

4. 17–37 minutes – Team challenge investigation

Arrange students in six teams of three. Give each team a tiered North Otago challenge card and distribute the Fraction Fair investigation sheet. Teams choose or are assigned a context: fencing, planting, produce, recipes or water tanks. They must solve the problem and create a model using drawings, counters, fraction strips or a number line. Make the fraction wall and strip cards available for students who need a hands-on comparison or equivalence model.

Circulate and ask: “What is the whole?”, “How do you know the parts are equal?”, “Can you show it another way?” Check that every student has a role: reader, builder/drawer and explainer. Read tasks aloud and highlight key information where needed.

5. 37–49 minutes – Fraction Fair presentations

Each team gives a two-minute presentation using its model. The explanation must state the context, the fraction problem, the strategy and the answer. After each presentation, invite one audience question, such as “Why are those fractions equivalent?” or “How could you check the answer?” Use the presentation prompts to keep explanations focused.

6. 49–57 minutes – Individual check

Distribute the final section of the individual fraction check. Include short tasks covering: representing a fraction of a shape or set, placing a fraction on a number line, comparing or identifying an equivalent fraction, adding or subtracting same-denominator fractions, and finding a whole from one-half, one-third or one-quarter. Students work independently; accept drawings, manipulatives, oral responses or scribing where appropriate.

7. 57–60 minutes – Reflect and celebrate

Return to the success criteria and reflection slide. Students complete the sentence: “Today I used fractions to…” Invite two or three responses. Celebrate clear mathematical explanations and remind students that mathematicians can use different models to prove the same answer.

Resources

• the North Otago Fraction Fair slide deck
• the Fraction Fair investigation sheet
• the fraction wall and strip cards
• Counters, cubes, bottle tops or small farm-themed objects
• Paper, pencils, crayons, rulers and mini-whiteboards
• Prepared tiered challenge cards
• Large paper or cardboard for team presentations
• Highlighters and reading rulers
• Optional tablets or voice-recording device for oral explanations

Assessment

• Observe team models, mathematical language and explanations during the investigation and presentations.
• Use the individual check to assess representation, comparison, equivalence, same-denominator addition/subtraction and finding the whole.
• Record which students need further support with equal parts, fraction language, number lines or explaining their thinking.

Differentiation

• Provide tiered task cards: concrete one-step tasks, supported two-step tasks, and open-ended problems. Highlight key information and read instructions aloud or provide audio text.
• Offer counters, fraction strips, drawings, number lines, oral responses or a scribe. Allow extra processing time and purposeful mixed-ability partnerships.
• For dyslexia-friendly access, use a clear sans-serif font, short lines, generous spacing, uncluttered worksheets, coloured fraction models and one instruction at a time.
• Extension: students design a multi-step North Otago challenge and solve it in two different ways, explaining why both methods work.