Naming and describing 2D and 3D shapes
Describing where a shape is, naming flat shapes correctly, and telling flat shapes apart from solid ones
About three lessons of 30 to 35 minutes
A tilted square is still a square
Draw a square. Now turn the paper so it sits on one corner, like a diamond. It looks different, but it is still exactly the same shape: 4 equal sides, 4 corners. A shape's name never changes just because it is bigger, smaller, or turned a different way.
Today you will name flat shapes correctly no matter how they are turned, tell flat shapes apart from solid ones you can pick up and hold, and use position words like above, below, and beside to say exactly where something is.
- A square turned to sit on its cornerstill a square, 4 equal sides, 4 corners, just rotated
- A soccer ball and a paper circlethe ball is a solid sphere, the paper circle is flat
- A book on top of a table'on top of' describes the book's position
- A sugar cube next to a drawn squarethe cube is 3D and solid, the square is 2D and flat
What students will be able to do
Students will describe the position of objects using words like above, below, beside and next to, correctly name basic 2D shapes no matter their size or orientation, and tell the difference between flat 2D shapes and solid 3D shapes.
- I can describe where an object is using position words like above, below, beside, and next to.
- I can name a shape correctly even when it is turned or a different size.
- I can say whether a shape is flat (2D) or solid (3D).
Standards this unit teaches
- K.G.A.1Common Core (US)Describe positions of shapes
Describe where objects are in the environment using terms like above, below, beside, in front of, and next to.
- K.G.A.2Common Core (US)Name shapes
Correctly name basic shapes regardless of their size or orientation.
- K.G.A.3Common Core (US)Flat versus solid shapes
Tell the difference between two dimensional flat shapes and three dimensional solid shapes.
- AC9MFSP01Australian Curriculum v9 (ACARA)Sort and name familiar shapes (Foundation)
Sort, name and make familiar shapes, and spot them in objects around the classroom and home.
- AC9MFSP02Australian Curriculum v9 (ACARA)Describe position and location (Foundation)
Describe where they and objects are using everyday position words like next to, under, above and behind.
Prior knowledge
This unit builds on skills students should already have met. Revisit any that are shaky first.
Words to teach and display
- Position
- where an object is, described with words like above, below, beside, and behind
- 2D (flat) shape
- a shape with only length and width, like a square drawn on paper, that you cannot pick up as a solid
- 3D (solid) shape
- a shape with length, width and depth, like a ball or a box, that you can pick up and hold
- Orientation
- which way a shape is turned or facing
Teach it: concrete, pictorial, abstract
The lesson moves from things students can hold, to pictures and diagrams, to the written maths. The diagrams below are drawn from data, so they are accurate and print cleanly. Teach straight from them.
1. Describing where something is
ConcretePosition words tell someone exactly where an object is without pointing. A cup can be above a table, below a shelf, beside a plate, in front of a chair, or next to a book. The same object can have several true position descriptions depending on what you compare it to.
Practise using a position word in a full sentence: the ball is under the chair, the lamp is beside the bed. Being specific with position words is an early step toward describing location precisely, a skill that later grows into reading maps and coordinate grids.
- If a book is resting on top of a table, which position word describes that?
- Describe where your pencil is right now using a position word.
2. Naming a shape no matter how it is turned
ConcreteA square has 4 equal sides and 4 corners. Draw it sitting flat, or turn it to balance on one corner like a diamond, and it is still a square, because what makes it a square, 4 equal sides and 4 corners, has not changed. The same goes for every shape: a triangle turned upside down is still a triangle, and a large circle and a tiny circle are both still circles.
A common trap is to think a tilted square is a different shape, sometimes even called a 'diamond' as though that were its own shape family. It is not; it is a square, simply rotated. What defines a shape is its sides and corners, not which way it happens to be facing.
A triangle is drawn pointing downward instead of upward. Is it still a triangle?
- Check what makes a shape a triangle: 3 straight sides and 3 corners.
- The downward-pointing shape still has exactly 3 straight sides and 3 corners.
- Turning a shape does not change its sides or corners.
Answer: Yes, it is still a triangle, just rotated to point the other way.
- Is a small circle still a circle, or does size change its name?
- A square is turned to balance on one corner. What shape is it?
3. Flat shapes versus solid shapes
PictorialA shape drawn on paper, like a circle or a square, is flat: it has length and width but no thickness you can hold. A shape you can pick up, like a ball or a box, is solid: it has length, width, and depth all at once. Flat shapes are called 2D, and solid shapes are called 3D.
A useful test: can you pick this shape up and turn it around in your hand to see a different side of it? If yes, it is solid (3D). If it is just ink or pencil marks on flat paper, it is flat (2D). A drawing of a cube on paper is still a flat 2D drawing, even though it represents a 3D object.
- Is a basketball flat (2D) or solid (3D)?
- Is a square drawn on a piece of paper flat (2D) or solid (3D)?
Common misconceptions and how to address them
MisconceptionA square turned to balance on one corner is called a 'diamond' and treated as a different shape from a square.
Why it happens: The change in orientation looks dramatic, so the shape feels new, even though its sides and corners are unchanged.
How to address it: Rotate a paper square slowly in front of the class, from flat-sitting to corner-balanced and back, so students see it is the same physical shape the whole time, just turned.
MisconceptionA shape's size is thought to change its name, so a very large triangle and a very small triangle are treated as different shapes.
Why it happens: Big and small versions of a shape look visually very different, and a young learner has not yet separated the idea of a shape's defining features from its size.
How to address it: Line up triangles of clearly different sizes and count sides and corners on each. All have exactly 3 sides and 3 corners, so all are triangles, regardless of size.
MisconceptionA picture of a 3D object, such as a drawing of a cube on paper, is called '3D' because the object it shows is solid.
Why it happens: The label naturally attaches to what the picture is of, rather than to the physical drawing itself.
How to address it: Ask directly: can you pick this up and turn it in your hand? A drawing, even a drawing of a solid object, is still flat paper, so it is a 2D picture of a 3D shape.
MisconceptionPosition words are used inconsistently, such as saying an object is 'beside' something when it is actually above or below it.
Why it happens: Position words describe a relationship between two objects, and without practice it is easy to pick the wrong relationship word.
How to address it: Physically place two objects in a clear relationship (one directly on top of the other) and have the class say the matching word together, then change the relationship and repeat.
Guided practice (with answers)
1. A ball sits under a table. Which position word describes this?
Answer: Under (or below).
2. A square is turned to sit on one corner, like a diamond shape. What shape is it really?
Answer: Still a square, just rotated. It still has 4 equal sides and 4 corners.
3. Is a party hat, the kind you can pick up and wear, flat (2D) or solid (3D)?
Answer: Solid (3D), because you can pick it up and it has length, width and depth.
4. Is a triangle drawn on a piece of paper flat (2D) or solid (3D)?
Answer: Flat (2D), because it is just marks on paper with no depth to pick up.
5. A very large circle and a very small circle are drawn. Are they both circles?
Answer: Yes, size does not change a shape's name.
6. A cup is placed beside a plate on a table. Which position word describes this?
Answer: Beside (or next to).
Independent practice worksheets
Set the matching ChalkBee worksheets for independent work. The answer keys are computed in code, so they are never wrong. Positional words and 2D and 3D shapes worksheets practise this unit's three ideas directly.
Differentiation
- Practise with only the most familiar shapes first, circle, square, triangle, before adding rectangle, hexagon, and others.
- Physically rotate a cut-out paper shape by hand while naming it, so the connection between rotation and unchanged identity is felt, not just told.
- Pair every 3D solid shape with a real object the child already knows, such as a ball for a sphere and a box for a cube.
- Model one position-word sentence at a time before asking the child to produce their own.
- Describe an object's position using two position words at once, such as 'above the table and beside the lamp.'
- Sort a mixed pile of 2D and 3D shapes into two groups and explain the rule used for each group.
- Name less common shapes, such as a pentagon, hexagon, or oval, in addition to the most familiar ones.
- Draw the same shape at three different sizes and in three different orientations, and confirm all three share the same name.
Assessment: exit ticket
A three-question exit ticket for the last five minutes, sampling position words, naming a rotated shape, and flat versus solid.
1. A book is on top of a shelf. Which position word describes this?
Answer: On top of (or above).
2. A rectangle is turned on its side. Is it still a rectangle?
Answer: Yes, turning a shape does not change its sides or corners.
3. Is a tennis ball flat (2D) or solid (3D)?
Answer: Solid (3D), because it can be picked up and has depth.
Teacher notes and timings
- Rough timing across three lessons: Lesson 1 position words (section 1), Lesson 2 naming shapes regardless of orientation and size (section 2), Lesson 3 flat versus solid (section 3) plus the exit ticket.
- These three standards cluster naturally as the descriptive half of Kindergarten geometry: where a shape is, what a shape is called, and what dimension a shape belongs to, all before the next unit's building and composing skills.
- Language to keep saying: same sides and corners, no matter which way it is turned, and can you pick it up. These phrases pre-empt the most common slips in this unit.
- Curriculum note: US Kindergarten separates position (K.G.A.1), naming (K.G.A.2) and flat-versus-solid (K.G.A.3) into three standards. ACARA Foundation covers sorting and naming shapes under Space (AC9MFSP01) and position and location as a separate Space descriptor (AC9MFSP02), a close match across two AU descriptors.
- Present mode and print both work: use the Print button for a student worksheet, or project the page and rotate real shapes in front of the class to teach straight from the examples.