Cover, Count, Compare

Overview

In this ninth lesson of the ten-lesson Shape, Space and Measure unit, students develop area as the amount of surface covered by equal-sized square units. They build on prior work with 2D shapes and measuring length, using tiles to cover, count and compare areas before connecting repeated addition with simple multiplication.

Learning intentions

• WALT describe area as the amount of surface covered.
• WALT measure area using equal-sized square tiles without gaps or overlaps.
• WALT count square units and compare the areas of shapes.
• WALT connect repeated addition with simple multiplication.

Success criteria

• I can cover a shape completely using equal-sized square tiles.
• I can count and record the number of square units in a shape.
• I can explain which shape has the greater area and how I know.
• I can write repeated addition or a multiplication sentence to represent an area.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that deepen understanding for advanced learners.
• Mathematics and Statistics — Mathsteasers / Alignment: challenge connected to classroom mathematics content.
• Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: opportunities for reasoning, explaining and investigating different solutions.
• Shape, Space and Measure: measuring and comparing area using informal units.

Lesson structure (45 minutes)

1. 0–5 min · Hook and revisit. Display two differently shaped regions and ask, “Which one has the greater area? How could we prove it?” Use the opening comparison slide to elicit predictions, then remind students that area describes the surface covered, not the distance around a shape. Students think independently, discuss with a partner and share what they notice.

2. 5–12 min · Model covering area. Demonstrate covering a rectangle with equal-sized square tiles, placing them edge-to-edge with no gaps or overlaps. Use the area modelling slides to highlight the words area, square unit, gap and overlap, and model counting by rows and columns, for example 3 + 3 + 3 + 3 = 12 and 4 × 3 = 12. Students help check whether coverings are fair and explain why equal-sized squares are needed.

3. 12–27 min · Partner investigation. Organise 10 mixed-ability pairs and provide each pair with tiles and a shape-covering task. Distribute the cover, count and compare worksheet and direct students to cover each printed shape, record the number of square units, compare areas and write repeated-addition sentences where appropriate. Students work hands-on, checking that every part is covered exactly once and discussing how they know one shape is larger, smaller or equal in area.

4. 27–35 min · Reasoning discussion. Pause the investigation and show two shapes with the same area but different arrangements using the investigation discussion slides. Ask: “Does a shape need to look the same to have the same area?” and “What makes our measurement reliable?” Students compare strategies, explain their counting, and connect rows of equal squares with multiplication. Invite students to identify any worksheet shapes with equal area.

5. 35–41 min · Independent application. Students complete the final comparison questions on the cover, count and compare worksheet independently, including one explanation using words, repeated addition or multiplication. The teacher conferences with students, asking them to point to each square unit and justify their total rather than accepting an unsupported answer.

6. 41–45 min · Plenary and exit check. Use the plenary slides to display a small shape made from 12 square units. Students complete an oral or written exit response: “The area is ___ square units because ___.” Invite two students to explain different ways to count 12, then collect responses and preview the next lesson’s focus on investigating area and perimeter.

Resources

• the area and comparison slide deck
• the cover, count and compare worksheet
• Equal-sized square tiles or linking cubes arranged as squares; enough for 10 pairs
• Pencil, ruler and coloured pencils
• Small whiteboards or scrap paper
• Enlarged demonstration shape or magnetic square tiles
• Visual timer
• Word/picture prompts for area, square unit, gap and overlap

Assessment

• Observe whether students use equal-sized square units and cover shapes without gaps or overlaps. Ask selected students to explain why their method is fair.
• Check worksheet recordings for accurate counting, sensible comparisons and connections between repeated addition and multiplication.
• Use the exit response to identify students who can describe area and justify their measurement, rather than only state a number.

Differentiation

• Support students with grid paper, physical tiles, larger shapes, smaller numbers and a worked example showing one complete row. Allow students to trace or mark each counted square.
• Provide a clear visual sequence: cover, check, count, record and compare. Use short oral instructions, demonstration before independent work and sentence starters such as “The area is ___ square units because ___.”
• For dyslexic learners, use a dyslexia-friendly worksheet layout, uncluttered print, adequate spacing and opportunities to respond orally or with manipulatives. Pair students thoughtfully and avoid requiring rapid reading.
• For autistic learners or students who benefit from predictability, show the six-step lesson sequence, offer a defined workspace and give advance notice before transitions. Extension students can create different shapes with the same area or investigate how changing a shape changes its perimeter.