Shapes and Designs: Investigation 3: Polygon Properties and Tiling 
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 threedimensional 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 shaperotational 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. 