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Foundations of Mathematical Thinking · Senior Infants

Active learning ideas

Moving and Turning Shapes

Active learning lets children feel transformations in their bodies, which helps them understand abstract ideas like sliding, flipping, and turning. When students move shapes on a grid or hold them up to mirrors, they connect physical actions to spatial vocabulary in a way that quiet paper work cannot.

NCCA Curriculum SpecificationsNCCA: Junior Cycle - Geometry and Trigonometry - GT.4
20–45 minPairs → Whole Class4 activities

Activity 01

Stations Rotation45 min · Small Groups

Stations Rotation: Transformation Stations

Prepare three stations with grids: one for sliding shapes (translations), one with mirrors for flips (reflections), one with pins for turns (rotations). Children rotate every 10 minutes, draw the new position, and label the change. End with a gallery walk to share.

Can you slide this shape along the table without turning it?

Facilitation TipDuring Transformation Stations, place a small checklist at each station so children mark off each transformation they complete, keeping the rotation smooth and orderly.

What to look forProvide students with cut-out shapes and a simple coordinate grid. Ask them to perform a specific transformation, for example: 'Slide this square three steps to the right.' Observe if they can move the shape accurately.

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Activity 02

Experiential Learning20 min · Pairs

Pairs: Mirror Shape Challenge

Partners face each other across a line on the floor. One holds a shape and performs a transformation while the other copies using their shape. Switch roles, then describe the action to the teacher. Use simple grids for accuracy.

What happens to this shape if we flip it over?

Facilitation TipFor the Mirror Shape Challenge, give each pair two identical cut-out shapes so one child can flip while the other checks the mirror image against the original.

What to look forShow students an image of a shape that has been transformed. Ask: 'What happened to this shape? Did it slide, flip, or turn? How do you know?' Listen for their use of vocabulary like translation, reflection, or rotation.

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Activity 03

Experiential Learning30 min · Whole Class

Whole Class: Follow the Leader Transforms

Teacher calls out a transformation like 'slide your square up two, flip over the line.' Children hold shapes and move on a large floor grid. Repeat with peer leaders to practise describing.

Show me how to turn this shape so it faces the other way.

Facilitation TipIn the Follow the Leader Transforms game, model how to say the transformation aloud before moving, so the language becomes part of the movement.

What to look forGive each student a card with a picture of a shape and a description of a transformation (e.g., 'Flip this triangle'). Have them draw the transformed shape on the back of the card. Collect and check for accuracy.

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Activity 04

Experiential Learning25 min · Individual

Individual: Shape Journal Transforms

Each child gets a grid worksheet with a shape. They perform and draw three transformations: slide, flip, turn. Label with words like 'turned clockwise.' Share one with the class.

Can you slide this shape along the table without turning it?

What to look forProvide students with cut-out shapes and a simple coordinate grid. Ask them to perform a specific transformation, for example: 'Slide this square three steps to the right.' Observe if they can move the shape accurately.

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Templates

Templates that pair with these Foundations of Mathematical Thinking activities

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A few notes on teaching this unit

Teach one transformation at a time, using the same shape across activities to build consistency. Use think-alouds to name each step out loud while you demonstrate, and avoid mixing transformations until children are confident with each on its own. Research shows that three to five clear examples with immediate practice lead to stronger spatial reasoning.

By the end of the activities, children will use precise terms to describe transformations, correctly position shapes after each move, and recognize that size and shape do not change during a transformation. Their language will include words like slide, flip, turn, left, right, clockwise, and mirror line.


Watch Out for These Misconceptions

  • During Transformation Stations, watch for children who change the size of the shape while spinning it on the geoboard.

    Ask the child to measure the shape’s sides with a ruler before and after turning; the sides should remain the same length, proving the shape did not grow or shrink.

  • During Mirror Shape Challenge, listen for pairs who describe a flip as a turn.

    Have the pair place the original shape and the mirror image side by side and trace the distance from the mirror line to each vertex on both shapes to show the flip, not a spin.

  • During Follow the Leader Transforms, notice if children tilt the shape slightly while sliding it across the floor grid.

    Remind the child that a true slide keeps the shape flat and parallel to the starting position; peers can use a ruler held flat against the shape to check for tilting.


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