Covering Surfaces

Children in Senior Infants learn best when they can see and touch the math they are doing. Covering surfaces with square tiles lets them feel the space inside shapes while solving a real problem. This hands-on work builds a clear picture of area that will stay with them long after the lesson ends.

• Senior Infants
• Foundations of Mathematical Thinking
• 4 activities
• 25 min–45 min

Learning Objectives

1. Compare the area of two different surfaces by counting the number of square units required to cover each.
2. Calculate the total number of square units needed to cover a rectangular or square surface.
3. Identify and name square units used for measuring area.
4. Demonstrate how to tile a surface without gaps or overlaps using square units.

Stations Rotation

⏱ 45 min·Small Groups

Stations Rotation: Tiling Stations

Prepare four stations with rectangles of varying sizes, square tiles, and recording sheets. Small groups rotate every 10 minutes, cover each shape completely, count tiles, and note findings. End with a class share-out comparing results.

Prepare & details

How many tiles does it take to cover this book?

Facilitation Tip: At the Tiling Stations, model how to slide each tile snugly against the previous one so no gaps appear between them.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Experiential Learning

⏱ 30 min·Pairs

Pairs: Object Tiling Challenge

Pairs select classroom items like books or desks, cover surfaces with paper squares, and count tiles used. They compare two objects and predict which needs more tiles before tiling. Record counts on shared charts.

Prepare & details

Which surface is bigger — the table or the chair seat?

Facilitation Tip: In the Object Tiling Challenge, ask pairs to explain their count to each other before sharing with the class to build verbal precision.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Experiential Learning

⏱ 35 min·Whole Class

Whole Class: Floor Shape Mosaic

Draw large rectangles on the floor with tape. Class works together to fill with tiles, counting aloud as they go. Discuss why some shapes take more tiles and erase to retry.

Prepare & details

Can you cover this shape using only square tiles?

Facilitation Tip: For the Floor Shape Mosaic, assign each student a colored tile and guide them to place it in the correct square to avoid crowding.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Experiential Learning

⏱ 25 min·Individual

Individual: Personal Tile Mat

Each child draws a rectangle on paper, tiles it with squares, counts, and labels the area. They swap with a partner to verify coverage and count.

Prepare & details

How many tiles does it take to cover this book?

Facilitation Tip: During the Personal Tile Mat, remind students to trace the outline of their mat first so they know exactly where to place tiles inside.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Teaching This Topic

Start with everyday objects so children see the purpose of tiling right away. Teach them to press tiles firmly against edges and corners to avoid gaps, then model counting in rows and columns to prevent double-counting. Avoid using the word ‘cover’ without pointing to the inside space; always trace the edge with your finger first so they feel the boundary of the area.

What to Expect

By the end of these activities, students will confidently cover flat surfaces with square tiles without gaps or overlaps and count the total correctly. They will compare two surfaces by counting tiles and explain which one has the larger area using clear language about the space covered.

Watch Out for These Misconceptions

Common Misconception

During Tiling Stations, watch for children tracing the outside edge of a shape and counting that line as the area.

What to Teach Instead

Have them trace the edge once to mark the border, then place tiles only inside the traced line and count the tiles, not the border.

Common Misconception

During the Object Tiling Challenge, watch for students choosing the longer object as the larger area without checking both dimensions.

What to Teach Instead

Ask them to tile both objects fully and compare the tile counts side by side to see that width matters just as much as length.

Common Misconception

During the Floor Shape Mosaic, watch for tiles that do not touch edge to edge, leaving small empty spaces.

What to Teach Instead

Remind students to slide tiles until they click together, then count again to confirm the whole surface is filled before declaring the total.

Assessment Ideas

Exit Ticket

After the exit-ticket tiling task with the small rectangular paper and 1-inch tiles, collect the papers and check that every tile touches its neighbor with no gaps and the written count matches the actual number of tiles used.

Discussion Prompt

After the Object Tiling Challenge, show the book and placemat and ask the class which they think has the bigger area. Listen for students who suggest tiling both surfaces and counting, then have volunteers demonstrate their plan to the group.

Quick Check

During the Floor Shape Mosaic activity, circulate with a clipboard and mark which students count the tiles in rows and columns accurately, which students skip squares, and which students recount correctly after a peer points out a missed tile.

Extensions & Scaffolding

• Challenge: Give a student a rectangular mat and ask them to cover it with the fewest tiles possible, then try the same mat with smaller tiles. Compare the two counts and discuss why the smaller tiles give a larger number.
• Scaffolding: Provide a small book with pre-drawn 1-inch squares inside so children can place tiles directly on the marks and count without gaps.
• Deeper exploration: Ask students to create their own rectangular mat on paper, tile it, and write two sentences comparing its area to another student's mat using the words ‘more,’ ‘less,’ or ‘same.’

Key Vocabulary

Area	The amount of flat space a surface covers. It is measured by counting how many square units fit onto the surface.
Square unit	A square shape used to measure area. Common examples include square tiles or square centimeter grids.
Tile	To cover a surface completely with shapes, like square units, without any spaces in between.
Cover	To place shapes, such as square units, over an entire surface so that no part of the surface is visible.