Toy Joy (Preparatory Stage Math)
Worksheet A: Concepts
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bottle → cylinder; ice-cream cone → cone; dice → cube; brick → cuboid; ball → sphere.
Solution
Everyday toys and containers map to basic solids used in the chapter’s craft tasks.
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Sphere, cylinder, cone (on curved side).
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Curved surfaces allow rolling; flat faces tend to slide or stop.
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Sphere.
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A sphere’s surface is entirely curved; cylinders and cones also have flat faces.
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Cuboid.
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A cube is a cuboid with all edges equal and all faces squares.
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Flat only: cube, cuboid. Curved only: sphere. Both: cone, cylinder.
Solution
Use faces/edges vocabulary from the lesson to classify solids by surface type.
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Tip: cone; body: cylinder.
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Pointed cone for tip and long cylinder for body match the models shown.
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Cubes, cuboids, cylinders (flat face down).
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Flat faces support stacking; curved-only or pointed tips reduce stability.
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Edges: cube/cuboid (edges where faces meet). No edges: sphere.
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Edges are line segments between flat faces; a sphere has a smooth surface without edges.
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The cone is on top of the cylinder; the cylinder is on top of the cuboid.
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Verbal sequence matches the “construct and describe” game instructions in the lesson.
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Colour+shape distinguishes parts that share a shape or colour, preventing confusion.
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Two attributes make categories unique (e.g., red cylinders vs grey cuboids) for accurate tallies.
Worksheet B: Computational Skills
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3 cubes.
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Count exact matches to “cube”; others are different solids.
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✓, ✗, ✓, —, ✗.
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Two cones get a tick; cylinders get a cross; cube is neither (dash).
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Opposite 1 → 6; opposite 2 → 5; opposite 3 → 4.
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Standard dice pair to sums of 7 across opposite faces.
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6 faces; 12 edges.
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Each cube has 6 square faces and 12 edges where faces meet.
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10 parts.
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Add 2+3+4+1 to get a total of all labelled pieces.
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Cubes — faces.
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Flat faces meet neatly; curved spheres leave gaps.
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3 per layer; 2 layers.
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Split 6 into equal groups: 3+3 for two layers of a simple rectangular block.
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flat 2, curved 1.
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Top and bottom are flat circles; the side is one curved surface.
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2 ways: a straight row of 3; an L-shape (2+1).
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Tri-cube polycubes give two distinct edge-connected layouts up to rotation/reflection in a simple view.
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Top: cone; Under the cylinder: pink cone.
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Order words “on top of” and “under” indicate vertical positions in the construction sequence.
Worksheet C: Problem-Solving & Modeling
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Sample: cylinder—chalk; cube—dice; cuboid—eraser; cone—party cap; sphere—ball.
Solution
Real objects help identify shapes used throughout the chapter’s activities.
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wheels—cylinders; chimney—cylinder or cone on top.
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Cylinders model wheels; a cylinder with a cone cap matches pictures in the lesson.
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Rectangle — big flat face.
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Large flat faces stand out; the chapter asks what is visible from a distance.
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Cuboid — flat base.
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Flat base prevents rolling; curved base tips easily.
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Place cuboid; put cylinder on it; put cone on the cylinder.
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Converting verbal sequence to action mirrors the group game in the chapter.
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Flat faces: cube & cuboid; Curved: cylinder & sphere (cones also have a curved surface).
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Similarities/differences build precise vocabulary about faces and surfaces.
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Yes; the cone’s curved surface.
Solution
Adding a cone introduces a curved surface to a mostly flat-face model.
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Cylinder — faces.
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A cylinder can present flat circular faces to contact cuboids; a sphere contacts at a point.
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Which shape is most common? Which is least common?
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Interpreting tallies with most/least reflects the “find the most/least” prompts in the lesson.
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Examples: tower of 6; block of 2 layers with 3 cubes each.
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Multiple layouts use the same pieces, supporting spatial planning highlighted in the chapter.
Two best activities
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One learner builds with 3–4 solids and describes; partners recreate without seeing, then compare.
Solution
Use cones, cylinders, cubes, cuboids, spheres. The “leader” says: “Cylinder on cuboid; cone on cylinder.” Others build from instructions only. Swap roles. This develops spatial language, listening, and model-to-instruction mapping emphasized in the lesson.
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Hunt real objects for cylinder/cube/cuboid/cone/sphere, tally counts, then present most/least with reasons.
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Teams collect examples (chalk—cylinder, dice—cube, etc.), fill a table, and explain which shapes are easiest to find and why (usage, faces/curved, stacking). Connect to “faces/edges” and “flat vs curved” language from the chapter to build precise communication.