Transformations Project
Chelsea Jones
Math 1351
1st Grade TEKS
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§111.3. Grade 1, Adopted 2012.
(b) Knowledge and skills.
(6) Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes
and three-dimensional solids to develop generalizations about their properties. The student is expected to:
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(A) classify and sort regular and irregular two-dimensional shapes based on attributes using informal geometric language;
(B) distinguish between attributes that define a two-dimensional or three-dimensional figure and attributes that do not define the
shape;
(C) create two-dimensional figures, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and
hexagons;
(D) identify two-dimensional shapes, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and
hexagons and describe their attributes using formal geometric language;
(E) identify three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes), and triangular prisms,
and describe their attributes using formal geometric language;
(F) compose two-dimensional shapes by joining two, three, or four figures to produce a target shape in more than one way if possible;
(7) Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time.
The student is expected to:
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(A) use measuring tools to measure the length of objects to reinforce the continuous nature of linear measurement;
(B) illustrate that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or
overlaps, reach from one end of the object to the other;
(C) measure the same object/distance with units of two different lengths and describe how and why the measurements differ;
Transformations: Defined
When a shape and its points are moved on a plane, and the shape and its
points stay the same.
A transformation can include a turn, flip, slide, or resize.
Transformation: An Example
Interactive Transformation Link
To see an interactive view of a transformation for math, visit:
http://www.mathsisfun.com/geometry/transformations.html
Translation: Defined
When a shape slides to a different point position on a plane, but keeps its exact shape
and distance of points the same.
The points are slid the same direction and the same distance without rotating or
flipping the shape.
In essence, the shape looks the exact same, it is just in a different place on the plane.
Translation: An Example
Interactive Translation Link
For an interactive experience with translations, visit the
following link:
http://www.mathsisfun.com/geometry/translation.html
There is an interactive tool that allows students to
translate objects on a plane by changing the points
along an x and y axis, and the distance and angle of a
translation as well.
Reflection: Defined
When a shape is transformed across a line, or axis, creating a reflected (mirror)
image of itself.
Reflection: An Example
The shape is reflected like a mirror object across an x axis.
Interactive Reflection Link
For an interactive experience with
reflections, visit the following link:
http://www.mathsisfun.com/geometry/re
flection.html
This application allows for students to
identify an object’s reflection over an axis.
Rotation: Defined
A shape on a plane that is turned around a fixed center point.
The fixed center stays the exact same. Everything else on the plane also
rotates about the fixed center.
A full rotation is 360º degrees.
Rotation: An Example
The shape is being rotated
around a fixed center over an
axis.
Interactive Rotation Link
For an interactive experience with rotations,
visit the following link:
http://www.mathsisfun.com/geometry/rotat
ion.html
This link allows students to create their own
rotation of an object around a given fixed
point.
Citations
• http://hotmath.com/hotmath_help/topics/transformations-of-graphs.html
• http://www.mathsisfun.com/geometry/transformations.html
• http://www.mathsisfun.com/geometry/translation.html
• http://www.mathsisfun.com/geometry/reflection.html
• http://www.mathsisfun.com/geometry/rotation.html