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Name shapes regardless of orientation or size

Students will correctly name 2D and 3D shapes even when they are presented in non-standard orientations, tilted positions, or unusual sizes. They focus on defining properties, not appearance.

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Name shapes regardless of orientation or size

Kindergarten · Identifying and Naming Shapes · question 1 of 3

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12 rungs. A star at the top.

123

The circle is number ___.

How it is taught

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A shape keeps its name when turned.

Size does not change the name.

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Read it: 4 sides after a turn

A square sits on your paper. Turn it, and it looks like a diamond. Count the 4 sides.

  1. Count the 4 sides of the turned square.
  2. Count the 4 corners the same way.
  3. Name it a square: 4 sides, 4 corners.

A turn does not glue on a new side or snip one off, so you still have 4.

Each corner is still a corner after a tilt; 4 corners stay 4.

Pointing a new way can make a square look like a diamond. 4 matching sides still mean square.

Count the 4 sides and 4 corners after a turn: the name stays square.

Calling a tilted square a diamond because it no longer sits on a flat side.

Count the 4 matching sides and 4 corners. It is still a square.

A flat shape has 3 sides. It is turned and made bigger. What is it called? — triangle. Turning a shape or changing its size does not rename it. 3 sides make it a triangle.

Three triangles — different sizes and orientations

Today we'll learn that a shape stays the same shape, even when it tilts or changes size.

Here is a triangle. It has three straight sides and three corners.

Kindergarten · A shape is still itself when it tilts or grows

Let's count: one, two, three sides. Three sides means it's a triangle!

Now look at this one. It's much bigger — but let's count its sides.

One, two, three. Three sides! So this big shape is also a triangle.

Here's another. It's tipped on its side, like it's tumbling over.

One, two, three sides. Even tilted, it's still a triangle.

The rule: count the sides and corners. Size and tilt don't change the shape's name.

All three are triangles, because each one has three straight sides. Great job!

Now you try. Name the shape you see. What is this shape?

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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