|Shapes and Designs:
Investigation 4: Building Polygons
Vocabulary on this page
Parents Help Links on this page
| Homework Help
|Multiple-Choice Skills Practice
|Active Math Online
|Did You Know?
Video Links Here
Pearson Video Tutor
|Core Support Files
|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
- Calculate Perimeters
- Area of Rectangles
Circle: find the circumference and the area.
Review what you've learned about geometry
Angles and Lines
Area and Perimeter
|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.
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.
|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
|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
|obtuse: an angle greater than
|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.