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Create New Shapes From Existing Ones
- Show lesson plan & teacher guide
- Show answers to discussion questions
- Show video only
- Allow visiting of other pages
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- We'll learn how to put together 2D shapes to make new shapes.
- We’ll also learn how to make 3D shapes from 2D shapes.
- And we'll explore how this knowledge can help us make origami, quilts and even pizza!
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Discussion Questions
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Before Video[Hold up or draw a square.] What shape is this? How do you know?ANSWER
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It’s a square because it has four square corners and four sides all the same length.
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It’s a triangle because it has three sides.
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It’s also a triangle because it also has three sides.
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It’s a cube because it is a 3D shape with six square faces.
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It’s a cylinder because it is a 3D shape with circles on both ends.
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After Video[Hold up or draw two identical right triangles with all three sides of different lengths.] How can you use these shapes to make a rectangle?ANSWER
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Put the two triangles next to each other with the long sides together.
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Put the two rectangles together. You can put the long sides together or the short sides together.
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Put the triangles together. The middle triangle is upside-down compared to the other two triangles.
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A rectangular prism.
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Stack all three cylinders together so the circular faces line up.
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Vocabulary
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2D
DEFINE
2D stands for two-dimensional. Two-dimensional shapes are flat, like squares and circles.
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3D
DEFINE
3D stands for three-dimensional. Three-dimensional shapes are solid, like cubes and cylinders.
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Cube
DEFINE
A solid shape with six square faces
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Circle
DEFINE
A flat shape that is round with no sides or corners.
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Triangle
DEFINE
A flat shape with three sides.
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Rectangle
DEFINE
A flat shape with four sides and four square corners.
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Square
DEFINE
A flat shape with four sides, four square corners, and all sides the same length.
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Trapezoid
DEFINE
A flat shape with four sides and at least one pair of sides that is parallel.
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Parallel
DEFINE
Two lines or sides that are always the same distance apart.
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Hexagon
DEFINE
A flat shape with six sides.
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Rectangular Prism
DEFINE
A solid shape with six rectangular faces.
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2D
DEFINE
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Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS CREATING NEW SHAPES FROM EXISTING ONES?You can put shapes together to make a new shape. You can use flat shapes to make new flat shapes and new solid shapes.
To better understand how to create new shapes from existing ones…
WHAT IS CREATING NEW SHAPES FROM EXISTING ONES?. You can put shapes together to make a new shape. You can use flat shapes to make new flat shapes and new solid shapes. To better understand how to create new shapes from existing ones…LET’S BREAK IT DOWN!
Review flat shapes.
Circles, triangles, rectangles, squares, and hexagons are all flat shapes. A circle is a round shape with no sides or corners. A triangle has 3 sides. A rectangle has 4 sides and 4 square corners. A square is a special type of rectangle with all sides the same length. A hexagon has 6 sides.
Review flat shapes. Circles, triangles, rectangles, squares, and hexagons are all flat shapes. A circle is a round shape with no sides or corners. A triangle has 3 sides. A rectangle has 4 sides and 4 square corners. A square is a special type of rectangle with all sides the same length. A hexagon has 6 sides.Make new shapes out of pizza triangles.
You have special pieces of pizza shaped like triangles. You can put shapes together to make a new shape. You can put 2 of these triangles together to make a square. You can put 4 of these triangles together to make a rectangle.
Make new shapes out of pizza triangles. You have special pieces of pizza shaped like triangles. You can put shapes together to make a new shape. You can put 2 of these triangles together to make a square. You can put 4 of these triangles together to make a rectangle.Make new shapes out of quilt patches.
You have quilt patches that are squares and triangles. What shapes can you make? You could put 1 square and 2 triangles together to make a new shape, called a trapezoid. Then, you could put two trapezoids together to make another new shape, a hexagon.
Make new shapes out of quilt patches. You have quilt patches that are squares and triangles. What shapes can you make? You could put 1 square and 2 triangles together to make a new shape, called a trapezoid. Then, you could put two trapezoids together to make another new shape, a hexagon.Make a solid shape out of 6 squares.
A flat shape is made up of 6 squares. If you fold it up, what shape do you have? You have a cube. It is a cube because it is not flat and it has 6 square faces.
Make a solid shape out of 6 squares. A flat shape is made up of 6 squares. If you fold it up, what shape do you have? You have a cube. It is a cube because it is not flat and it has 6 square faces.Make a new shape out of 2 cubes.
You have 2 cubes. What new shape can you make if you combine the cubes? The new shape has 6 rectangular faces, so it is a rectangular prism.
Make a new shape out of 2 cubes. You have 2 cubes. What new shape can you make if you combine the cubes? The new shape has 6 rectangular faces, so it is a rectangular prism. -
Practice Word Problems
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Practice Number Problems
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Teacher Resources
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[Hold up or draw six identical equilateral triangles.] How can you use these shapes to make a hexagon?
[Hold up or draw four cubes.] How can you use these shapes to make a rectangular prism?
Use the rectangular prism you made in the previous question. Make a second one just like it. How can you use the two rectangular prisms to make an even bigger rectangular prism?
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