Mathematics
Grade 3
15 min
Identify two-dimensional shapes
Identify two-dimensional shapes
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1
Introduction & Learning Objectives
Learning Objectives
Define and identify key attributes of two-dimensional shapes, including sides and vertices (corners).
Identify and name common polygons like triangles, quadrilaterals, pentagons, hexagons, and octagons.
Classify quadrilaterals (squares, rectangles, rhombuses, parallelograms) based on their specific properties.
Compare and contrast different two-dimensional shapes based on their number of sides and vertices.
Recognize two-dimensional shapes in real-world objects.
Draw a two-dimensional shape when given its name or attributes.
Have you ever noticed that a slice of pizza, a stop sign, and a window are all different shapes? 🍕🛑🖼️ Let's become shape detectives and learn their secret names!
In this lesson, we will explore the world of flat shapes, also c...
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Key Concepts & Vocabulary
TermDefinitionExample
Two-Dimensional (2D) ShapeA flat shape that has only length and width, but no thickness. You can draw it on a piece of paper.A drawing of a circle, a square, or a triangle.
PolygonA closed 2D shape made of straight lines.A triangle is a polygon, but a circle is not because it has a curved line.
SideOne of the straight lines that make up a polygon.A square has 4 sides.
Vertex (plural: Vertices)A point where two sides of a polygon meet. It's a corner.A triangle has 3 vertices.
AngleThe space inside a shape between two sides that meet at a vertex.A square has 4 angles that all look like the corner of a piece of paper (right angles).
QuadrilateralAny polygon that has exactly 4 sides and 4 vertices.Squares, rectangles, and rhombuses are all types of quadrilaterals.
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Core Formulas
Polygon Naming Rule
Name = f(Number of Sides)
The name of a polygon is determined by how many sides it has. For example, 3 sides is a triangle, 4 is a quadrilateral, 5 is a pentagon, and 6 is a hexagon.
Square Identification Rule
(Sides = 4) \land (All Sides Equal) \land (4 Right Angles) \rightarrow Square
To be a square, a shape must have exactly 4 sides, all of those sides must be the same length, and all four of its corners must be perfect right angles (like the corner of a book).
Rectangle Identification Rule
(Sides = 4) \land (Opposite Sides Equal) \land (4 Right Angles) \rightarrow Rectangle
To be a rectangle, a shape must have 4 sides and 4 right angles. The sides opposite each other are equal in length, but they don't all have to be the same.
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Challenging
I am a quadrilateral. All my sides are equal in length. I do NOT have any right angles. What is the most specific name for my shape?
A.Square
B.Trapezoid
C.Rectangle
D.Rhombus
Challenging
A repeating pattern of shapes is made of a triangle, then a square, then a hexagon. What is the total number of SIDES in the first 4 shapes of this pattern?
A.13
B.16
C.17
D.20
Challenging
You want to completely cover a large rectangle with smaller shapes without any gaps or overlaps. Which set of smaller shapes would be IMPOSSIBLE to use?
A.Several small squares
B.Several small rectangles
C.Several small circles
D.Two large triangles
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