Fraction Toolkit Sprint

Overview

In this four-minute, highly structured intervention, students use visual fraction models and concrete pieces to identify, compare and explain simple fractions. The teacher uses rapid checks and flexible questioning so students can respond at an appropriate level of challenge.

Learning intentions

Students will:

• recognise fractions as equal parts of a whole
• represent simple fractions using fraction pieces and drawings
• compare fractions with the same denominator
• use an answer toolkit to explain their thinking

Success criteria

• I can show a fraction using pieces or a picture.
• I can identify the numerator and denominator.
• I can compare two fractions with the same denominator.
• I can explain my answer using “greater than”, “less than” or “equal to”.

Curriculum links

• Mathematics Measurement — use proportion and scaling to solve practical problems and interpret solutions.
• Mathematics spatial problem solving — design, test and communicate solutions using practical and digital tools.
• Auslan signed and visual exchanges — discuss, plan and reflect on learning with peers.
• Auslan informative and multimodal texts — use visual features to communicate information clearly.

Lesson structure (4 minutes)

1. 0–1 min · Hook and connect. Teacher opens the fraction comparison hook and displays two equal-sized fraction models, one showing 1/2 and one showing 2/4; students silently point to or sign whether the amounts are equal.

2. 1–2 min · Hands-on model. Teacher distributes the fraction toolkit worksheet and places fraction pieces or drawn fraction bars where all students can see them. Students build one fraction named by the teacher, then identify the denominator as the number of equal parts and the numerator as the parts selected.

3. 2–3 min · Guided quiz. Teacher shows three rapid questions in the visual fraction quiz: “Which is greater: 2/5 or 4/5?”, “Show 3/4”, and “Is 1/2 equal to 2/4?” Students answer by holding up a response card, pointing, signing or writing; the teacher checks every student and immediately models one answer.

4. 3–4 min · Explain and exit check. Teacher directs students to use the answer toolkit and exit question and prompts, “I know because…”. Students complete one item: draw or build 2/3, circle the larger fraction in 2/3 and 1/3, and give one spoken, signed or written explanation.

Resources

• the fraction comparison and quiz deck
• the fraction toolkit worksheet
• Fraction circles, fraction strips or paper fraction pieces
• Small response cards labelled A, B and Equal
• Whiteboard and marker
• Visual timer
• Optional tablet camera for recording signed responses

Assessment

• During modelling, check whether each student identifies the numerator and denominator correctly and can represent the named fraction.
• During the quiz, record responses using three levels: independent, prompted, or not yet demonstrated.
• Use the final worksheet response as an exit check: students must represent one fraction and justify one comparison using a model, words or signs.

Differentiation

• Support students with pre-divided fraction strips, a numerator/denominator visual cue, reduced choices and the sentence frame “___ is greater than ___ because ___ parts are shaded.”
• Allow students to respond through pointing, selecting cards, drawing, writing, signing or using an AAC system; accept equivalent representations.
• Pair students strategically, giving one student the role of builder and the other the role of checker, then swap roles.
• Extend confident students by asking whether 1/2, 2/4 and 4/8 represent the same amount and to prove it with fraction pieces.