Fun Math: Shapes and Positions
Hello! On this summary page, we are going to learn all about "Different Shapes" and "Positions (Locations) of Objects."
Take a look around your room or classroom. You will see so many things: tissue boxes, notebooks, soccer balls, water bottles, and more!
What kind of "shapes" do they have? And where are they placed?
Let’s have fun learning together so you can describe them clearly using words! It might feel a little tricky at first, but don't worry. Let's take it step by step!
1. Features of Different Shapes
Let's collect things around us and sort them into groups by their shapes.
We can mainly sort them into the following three groups.
① Box Shapes (Dice, snack boxes, etc.)
These shapes are made entirely of flat surfaces (faces).
[Features]
・Because they have flat faces, you can stack them on top of each other.
・You can slide them across the floor, but they will not roll.
・They stand firmly, whether you place them upright or on their side.
② Ball Shapes (Balls, oranges, marbles, etc.)
These shapes are completely round no matter which way you look at them.
[Features]
・Because their entire surface is curved, they roll easily in any direction.
・They have no flat surfaces, so if you try to stack something on top of them, it will slip right off.
③ Cylinder (Tube) Shapes (Canned food, paper towel rolls, water bottles, etc.)
These shapes share the best features of both box shapes and ball shapes.
[Features]
・The top and bottom are flat, so if you stand them upright, you can stack things on top.
・If you lay them on their side, you can roll them around smoothly.
[Key Points]
・Box shapes: Stack firmly!
・Ball shapes: Roll in any direction!
・Cylinder shapes: Stack when standing up, roll when lying down!
[Fun Fact]
Why do you think car tires and train wheels are "round" or shaped like "cylinders"?
If tires were "box-shaped," they would bump and rattle, and the car wouldn't be able to move forward smoothly! People use shapes that roll easily to create helpful vehicles.
2. Making and Moving Shapes
Let's use the boxes and cylinders we collected to build tall towers or castles!
How can we stack them tall without letting them tumble down?
Tips for Great Stacking
・At the bottom: Place big, heavy "box shapes" so the base doesn't wobble.
・In the middle: Try placing "cylinder shapes" standing upright.
・At the very top: Put "ball shapes"—which can't be stacked on—right on the very top!
Tracing to Draw Pictures (Tracing Shapes)
Place a box or a cylinder on a piece of paper and trace around it with a pencil.
・Tracing the face of a box shape gives you a rectangle or square.
・Tracing the base of a cylinder shape gives you a circle.
This shows how you can find flat shapes from 3D objects!
[Common Mistake]
If you lay a "cylinder shape" on its side and try to put another box on top of it, it will roll and crash down.
When stacking, always stand it up so that the flat faces are on the top and bottom!
3. Positions of Objects (Words Describing Where Things Are)
When you want to tell someone where something is, use words that describe "position."
Let’s learn these useful words!
① Top / Above (On) and Bottom / Below (Under)
・The clock is on top of the bookshelf.
・The backpack is under the desk.
② Front and Back (Behind)
・The remote control is in front of the TV.
・Tanaka is lined up behind me.
③ Right and Left
・The hand you hold your chopsticks with is your right hand (※ for left-handed people, it is the hand you hold your bowl with).
・The notebook is on the left side of the desk.
④ Between and Middle (Center)
・The banana is between the apple and the orange.
・Let's gather in the middle of everyone.
[Key Points]
When telling someone a location, it is important to clearly say "from what object" and "in which direction."
(Examples: "on top of the desk," "to the right of the box")
[Common Mistake]
Be careful when figuring out the "right" and "left" of a friend who is facing you!
What is "right" from your point of view becomes "left" from the point of view of the friend facing you.
Always think: "Whose right (or left) are we talking about?"
4. Which One in Line? (Order and Position)
You can also use numbers to describe the position of things.
Counting from the Front or Back
・\(1\)st from the front, \(2\)nd from the front, \(3\)rd from the front...
・\(2\)nd from the back
Counting from the Left or Right
・\(4\)th from the left
・\(3\)rd shelf from the bottom
[Fun Fact]
"3 people (amount)" and "3rd person (order)" are different!
・"3 people from the front": All the people together—the 1st, 2nd, and 3rd person (3 people in total).
・"3rd person from the front": Only "one single person"—the one at position number 3.
Listen and read the words carefully so you don't mix them up!
5. Summary and Review
Let's review the important things we learned in this unit!
◎ Shapes
・Box shapes: Have lots of flat faces and can be stacked easily.
・Ball shapes: Completely round and roll in any direction they like.
・Cylinder shapes: Can be stacked when standing upright, and roll when laid on their side.
◎ Positions of Objects
・Describe locations using words like "above / below," "front / behind," "right / left," and "between."
・Describing "which one from where," like "\(2\)nd from the left," helps tell someone the exact location!
Try looking around your home or school and ask: "What shape is that?" or "Where is this located?" Have fun exploring and sharing what you find!