| Shapes and Designs: Investigation 3: Polygon Properties and Tiling |
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MMS Math
Essentials &
Vocabulary Vocabulary on this page Parents Help Links on this page ![]() |
| Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts. | |
| Geoboard - Circular – Use circular geoboards to illustrate angles and degrees. | |
| Geoboard - Coordinate – Rectangular geoboard with x and y coordinates. | |
| Geoboard - Isometric – Use geoboard to illustrate three-dimensional shapes. |
Practice identifying types of triangles: obtuse, right, isoleses and equilateral. Learn how to find the area of a triange and use the Pythagoran Theorem to find the length of the hypotenuse.
Identify different polygons. Learn to find the perimeter of a rectangle and the area of a rectangle.
- Lines of Symmetry
- Transformation: Rotation, Translation, and Reflection
- Identify Polygons
- Polygons
- Calculate Perimeters
- Area of Rectangles
Circle: find the circumference and the area.
Review what you've learned about geometry
Angles and Lines
Polygons
Area and Perimeter
Translations
| Transformations - Composition – Explore the effect of applying a composition of translation, rotation, and reflection transformations to objects. | |
| Transformations - Dilation – Dynamically interact with and see the result of a dilation transformation. | |
| Transformations - Reflection – Dynamically interact with and see the result of a reflection transformation. | |
| Transformations - Rotation – Dynamically interact with and see the result of a rotation transformation. | |
| Transformations - Translation – Dynamically interact with and see the result of a translation transformation. |

Concept
with Explanation
Selected
Homework from ACE
Shapes and Designs was created to help students to:
Understand some important properties of polygons and recognize polygonal shapes both in and out of the classroom;
Investigate the symmetries of a shape-rotational or reflectional;
Estimate the size of any angle using reference to a right angle and other benchmark angles;
Use an angle ruler for making more accurate angle measurements;
Explore parallel lines and angles created by lines intersecting parallel lines;
Find patterns that help determine angle sums of polygons;
Determine which polygons fit together to cover a flat surface and why;
Explain the property of triangles that makes them useful as a stable structure for building;
Reason about and solve problems involving shapes.
| Vocabulary |
| Picture | Vocabuary |
| angle | |
| side | |
| parallel: lines in a plane that never meet | |
| perpendicular: lines at right angles to each other | |
| right angle: an angle of 90 degrees | |
| quadrilateral: four sided polygon | |
| triangle: three sided polygon | |
| pentagon: five sided polygon | |
| hexagon: six sided polygon | |
| heptagon: seven sided polygon | |
| octagon: eight sided polygon | |
| symmetric, reflection symmetry: a shape whose reflection is an identical shape | |
| angle sum: |
|
| verical angles: angles that are
opposite at an intersection of lines. |
|
| complementary: two angles that add up to 90 degrees | |
| supplementary: two angles that
add up to 180 degrees |
|
| acute: an angle less than 90
degrees |
|
| obtuse: an angle greater than
180 degrees |
|
| ray: a part of a line starting
at a point and including all points to one side. |
|
| rectangle: a parallelogram with
4 right angles (including squares) |
|
| regular polygon: a polygon with
all sides of equal length |
|
| rhombus: a quadrilateral with
all sides of equal length |
|
| right triangle: has one 90
degree or right angle |
|
| rotation symmetry: a shape that
can be rotated less than 360 degrees and look the same. |
|
| scalene triangle: no side
lengths are equal |
|
| straight angle: 180 degree angle |
|
| tiling: aka tesselation:
covering a surface with shapes that leave no gaps. |