Tangram as Teaching Aid in Mathematics - Part 1 or 2
7.9 هزار بار بازدید -
3 سال پیش
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Use tangram puzzle to teach
Use tangram puzzle to teach basic concepts in Geometry.
Link for the SVG and PDF files
https://textbookscience.blogspot.com/...
Tangram, is a Chinese geometrical puzzle .
Seven pieces, cut from a square, can be used to form various other shapes.
Tangrams are a great exercise in spatial awareness.
Individual shapes must be slid, rotated and flipped to form a new shape.
Let us explore the use of Tangram as a teaching aid for some mathematical concepts.
In this video, We will cover Transformations, Congruence, Symmetry.
In the next video we will cover perimeter area and fractions using Tangram.
Let's get started.
Instead of buying Tangram from the market,
we will create our own with a thick card sheet and print out with a tangram profile.
We will explore A4 paper so that all students can perform these activities.
Tangram puzzle is made up of seven polygons or “tans.”
Each piece is also called tan.
There are five triangles, one square and one parallelogram .
There are two large triangles, one medium triangle and two small triangles.
First graders are introduced to two dimensional shapes.
Students get used to using the correct name for shapes as well as imagining how those shapes move and rotate through space.
These puzzles are also an easy way to build vocabulary surrounding geometric shapes like Triangles, Square and Rectangle.
We can make all kinds of different shapes with 7 tans.
Basic shapes can also be constructed with seven or fewer tans .
Restrict the number of tans and ask how many shapes are possible with these tans.
Constructing squares using 1, 2, 3, 4, and 7 . Can we do it with 6 pieces only ?
Do analysis and find out why it is not possible.
Make other shapes like triangle, trapezoid, parallelogram and polygons with more than 4 sides.
Let us visit basic actions first.
Transformations are changes that are made to a shape.
Slide, Turn and Flip are position changes you can make to a shape.
These changes describe motions and the result of a motion.
I can slide this triangle to the top, bottom, diagonally, to the left or to the right.
Slides are the simplest transformation just moving something from one place to another.
No rotation, resizing or anything else, just moving.
In pre-primary grade, children learn to describe relative position using words like: above, below and between.
In primary grades, we usually describe a slide using relative position words, such as "slide to the left" or
"slide down and to the right". Slides are also known as translation.
In higher grades, we often use grid coordinates, so a translation by (5, 0), means to slide right 5 units.
translation by (0,-5) means slide down 5 units and so on.
(-5,4) means slide left 5 units and slide up 4 units.
Just like we flip the paper, shapes can also be flipped.
let's start with two triangles.
We will place one triangle on the top of the other.
I can flip the triangle on the vertical side.
This is the original position and this is the position after flipping.
Flipped triangle is the reflection of the original position.
We can place a mirror on this vertical side and see the reflection as well.
Same triangle can be flipped on the horizontal side like this.
Again, it's a reflection of the triangle.
Try flipping the triangle on the longer side .
Flipping is always performed with respect to a line.
If we flip the triangle in this position with respect to the middle line, its orientation remains unchanged.
Try the same activity with a square and parallogram.
You can also trace the shape on normal paper with a sketch pen.
Flip the paper and you see its image just like you flip the shape.
A turn or a rotation describes the motion of turning a shape as if it were drawn on a piece of paper, and you turned the whole piece of paper.
The usual primary-grades vocabulary is a "turn" and the usual middle-grade vocabulary is "rotation".
Rotate the triangle clockwise or anticlockwise.You can rotate it by full turn. One fourth of a turn or half turn.
Triangle in this square can be rotated counterclockwise to form another triangle.
Same triangle can be rotated counterclockwise by 45 degrees, 90 degrees and 180 degrees.
With the help of grid lines, we can rotate the shape in steps of 90 degrees and measure the angle as well.
90 degrees,180 degrees, 270 degrees and so on.
Right now we are rotating a triangle around one corner. But with the help of pushpin you can rotate around any point on the triangle.
Use a pen to trace various angles of rotation and build a nice design.
Know more on my blog .
#tangram, #mathematics #teachingaids
Link for the SVG and PDF files
https://textbookscience.blogspot.com/...
Tangram, is a Chinese geometrical puzzle .
Seven pieces, cut from a square, can be used to form various other shapes.
Tangrams are a great exercise in spatial awareness.
Individual shapes must be slid, rotated and flipped to form a new shape.
Let us explore the use of Tangram as a teaching aid for some mathematical concepts.
In this video, We will cover Transformations, Congruence, Symmetry.
In the next video we will cover perimeter area and fractions using Tangram.
Let's get started.
Instead of buying Tangram from the market,
we will create our own with a thick card sheet and print out with a tangram profile.
We will explore A4 paper so that all students can perform these activities.
Tangram puzzle is made up of seven polygons or “tans.”
Each piece is also called tan.
There are five triangles, one square and one parallelogram .
There are two large triangles, one medium triangle and two small triangles.
First graders are introduced to two dimensional shapes.
Students get used to using the correct name for shapes as well as imagining how those shapes move and rotate through space.
These puzzles are also an easy way to build vocabulary surrounding geometric shapes like Triangles, Square and Rectangle.
We can make all kinds of different shapes with 7 tans.
Basic shapes can also be constructed with seven or fewer tans .
Restrict the number of tans and ask how many shapes are possible with these tans.
Constructing squares using 1, 2, 3, 4, and 7 . Can we do it with 6 pieces only ?
Do analysis and find out why it is not possible.
Make other shapes like triangle, trapezoid, parallelogram and polygons with more than 4 sides.
Let us visit basic actions first.
Transformations are changes that are made to a shape.
Slide, Turn and Flip are position changes you can make to a shape.
These changes describe motions and the result of a motion.
I can slide this triangle to the top, bottom, diagonally, to the left or to the right.
Slides are the simplest transformation just moving something from one place to another.
No rotation, resizing or anything else, just moving.
In pre-primary grade, children learn to describe relative position using words like: above, below and between.
In primary grades, we usually describe a slide using relative position words, such as "slide to the left" or
"slide down and to the right". Slides are also known as translation.
In higher grades, we often use grid coordinates, so a translation by (5, 0), means to slide right 5 units.
translation by (0,-5) means slide down 5 units and so on.
(-5,4) means slide left 5 units and slide up 4 units.
Just like we flip the paper, shapes can also be flipped.
let's start with two triangles.
We will place one triangle on the top of the other.
I can flip the triangle on the vertical side.
This is the original position and this is the position after flipping.
Flipped triangle is the reflection of the original position.
We can place a mirror on this vertical side and see the reflection as well.
Same triangle can be flipped on the horizontal side like this.
Again, it's a reflection of the triangle.
Try flipping the triangle on the longer side .
Flipping is always performed with respect to a line.
If we flip the triangle in this position with respect to the middle line, its orientation remains unchanged.
Try the same activity with a square and parallogram.
You can also trace the shape on normal paper with a sketch pen.
Flip the paper and you see its image just like you flip the shape.
A turn or a rotation describes the motion of turning a shape as if it were drawn on a piece of paper, and you turned the whole piece of paper.
The usual primary-grades vocabulary is a "turn" and the usual middle-grade vocabulary is "rotation".
Rotate the triangle clockwise or anticlockwise.You can rotate it by full turn. One fourth of a turn or half turn.
Triangle in this square can be rotated counterclockwise to form another triangle.
Same triangle can be rotated counterclockwise by 45 degrees, 90 degrees and 180 degrees.
With the help of grid lines, we can rotate the shape in steps of 90 degrees and measure the angle as well.
90 degrees,180 degrees, 270 degrees and so on.
Right now we are rotating a triangle around one corner. But with the help of pushpin you can rotate around any point on the triangle.
Use a pen to trace various angles of rotation and build a nice design.
Know more on my blog .
#tangram, #mathematics #teachingaids
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