Measuring Quarter Lengths

Overview

In this ninth lesson of the unit Sharing Halves and Quarters, students use equal quarter-length pieces to build, compare and sequence strips. They connect the language of fractions with direct measurement, explaining how quarters combine to make halves and wholes.

Learning intentions

• WALT use quarters to measure and sequence lengths.
• WALT make and name quarter-lengths.
• WALT compare lengths using measurement language.
• WALT explain and justify the order of lengths.

Success criteria

• I can make and name a quarter-length.
• I can line up lengths at the same starting point to compare them.
• I can order lengths from shortest to longest.
• I can explain why my order is correct.

Curriculum links

• Mathematics and Statistics — Number: recognise quarters as equal parts of a whole and combine unit fractions.
• Mathematics and Statistics — Measurement: compare and order lengths using direct comparison and appropriate language.
• Mathematics and Statistics — Mathematical practices: represent ideas with materials, communicate mathematical thinking and justify conclusions.
• Mathsteasers: develop higher-order thinking through accessible challenge and explanation.

Lesson structure (60 minutes)

1. 0–7 min · Hook and revisit. Teacher displays a whole strip, a half strip and a quarter strip using the hook and fraction comparison slides. Ask: “How many quarter pieces make a half? How many make a whole?” Students turn and talk, then show answers with fingers or by drawing the pieces. Reinforce that all pieces must be the same size and that a quarter is one of four equal parts.

2. 7–17 min · Model measuring with quarters. Teacher demonstrates placing equal quarter pieces end to end, keeping them straight and lining up the first piece with the zero/start line. Use the slides’ visual demonstration and model statements such as, “This strip is three quarters long” and “Three quarters is longer than one quarter.” Students practise repeating and completing oral sentence frames: “The ___ strip is ___ quarters long”; “___ quarters is shorter/longer than ___ quarter(s).”

3. 17–32 min · Build and name strips. Organise students into five groups of four. Give each group equal-sized coloured quarter pieces and a simple measuring mat. Teacher calls or displays lengths from one to four quarters; students build each strip, count the pieces and name its length. Distribute the quarter-length measuring worksheet for students to draw or record three built strips and label them one quarter, two quarters, three quarters or four quarters. Circulate and check that pieces touch without gaps or overlaps.

4. 32–45 min · Compare and sequence. Place three or four completed strips on each group’s table. Students line up their endpoints, compare the strips and arrange them from shortest to longest. They record the order on the worksheet and use oral reasoning: “First is ___ because it has ___ quarters”; “___ is longer than ___ but shorter than ___.” Display the sequencing and discussion slides to prompt partner explanations. Invite groups to compare two orders and resolve disagreements by rebuilding or aligning the strips.

5. 45–54 min · Challenge and extension. Provide selected groups with six strips made from one to six quarter pieces, or ask them to combine quarter pieces with half pieces. Students sequence all available lengths and explain what changes when one half is replaced by two quarters. Advanced learners create several strips with the same total length, for example one half plus two quarters and four quarters, then prove they are equal by placing them together and explaining their representation.

6. 54–60 min · Plenary and exit check. Revisit the WALT using the plenary and exit-question slide. Ask: “Which is longer: two quarters or three quarters? How do you know?” Students complete the final worksheet prompt by drawing or circling the correct order of one, two and four quarters, then orally explain their answer to a partner. Collect responses and invite two students to share different justifications.

Resources

• the quarter measurement and sequencing slide deck
• the quarter-length measuring worksheet
• Equal-sized quarter-length strips in several colours
• Half-length and whole-length strips for comparison
• Measuring mats with a clear start line
• Large-print labels: quarter, half, whole, shorter, longer, equal
• Floor or table space for arranging strips
• Pencils, crayons and blu-tack

Assessment

• Observe whether students use equal pieces, count quarters accurately and line up endpoints before comparing.
• Ask individuals to show two quarters, name the length and explain its relationship to one half.
• Use the final ordering task and oral explanation as an exit check. Note students who confuse piece size, starting position or the meaning of “longer”.

Differentiation

• Support learners with equal-sized, colour-coded pieces, a visual ordering mat and large-print labels. Keep the number of objects to three and provide a worked example before independent practice.
• Use icons beside measurement words, short oral instructions, repeated demonstrations and sentence starters. Accept pointing, building and oral responses instead of requiring extensive writing.
• For dyslexia-friendly access, use uncluttered worksheets, a clear sans-serif font, generous spacing, high-contrast colours and one instruction at a time. Read all worksheet text aloud.
• Extend confident learners gradually from three to six objects. Ask them to include halves and quarters in equivalent strips and prove equality by matching pieces and explaining their reasoning.