Fraction Conversion Snapshot

Overview

This one-minute micro-lesson introduces the connected representations of a fraction, decimal and percentage. It is designed as a rapid diagnostic or lesson opener; a full practice lesson would be needed for students to develop secure fluency.

Learning intentions

• WALT connect fractions, decimals and percentages.
• WALT use an equivalent representation to convert between forms.
• WALT explain the relationship between the three representations.

Success criteria

• I can identify that a fraction, decimal and percentage can describe the same quantity.
• I can convert a familiar fraction such as one-half into a decimal and percentage.
• I can explain one strategy, such as dividing the numerator by the denominator or multiplying the decimal by 100.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge advanced learners and deepen understanding.
• Mathematics and Statistics — Mathsteasers / Alignment: mathematical challenge connected to existing classroom learning.
• Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: extension through reasoning, representation and explanation.

Lesson structure (1 minute)

1. 0–15 sec · Hook. Display the question on the opening conversion prompt: “Which is greater: 1/2, 0.5 or 50%?” Students show a quick response using fingers: 1, 2 or 3.

2. 15–35 sec · Model. Teacher states and briefly records: “These are equal. One-half means 1 divided by 2, which is 0.5; 0.5 multiplied by 100 is 50%.” Students repeat the conversion chain aloud: “1/2 = 0.5 = 50%.”

3. 35–50 sec · Check. Teacher asks, “What is one-quarter as a decimal and percentage?” using the rapid-check slide. Students give an answer to a partner or call-and-response: “0.25 and 25%.”

4. 50–60 sec · Exit response. Teacher asks students to write or say one equivalent set from the one-minute conversion prompt: “Convert 3/4 into a decimal and percentage.” Students submit their response or hold it up for a quick check.

Resources

• the fraction–decimal–percentage micro-deck
• the one-minute conversion prompt
• Whiteboard and marker
• Student pens or pencils

Assessment

• Use the opening finger response to identify whether students recognise equivalent representations.
• Listen for accurate use of the conversion chain during the call-and-response check.
• Check the final response: 3/4 = 0.75 = 75%. Record students needing follow-up teaching on division, place value or percentage meaning.

Differentiation

• Support students with the visual conversion chain on the slide and the sentence frame: “___ as a fraction is equal to ___ as a decimal and ___%.”
• Allow students to use a calculator or a place-value reference if the focus is representation rather than computation.
• For students ready for challenge, ask them to justify why multiplying a decimal by 100 changes it to a percentage.
• EAL learners benefit from hearing and seeing the terms fraction, decimal, percentage, equal and equivalent; pair students strategically for the oral response.