Shapes+and+Designs

**Shapes and Designs

__Investigation 1:__** Problem-Solving Goals:

 Problem-Solving Goals:
 * Sort shapes according to some special properties and describe these properties.
 * Introduce students to rotation and reflection symmetries of figures.
 * Decide what shapes will tile a surface and what common properties these shapes may have.
 * __Investigation 2:__**

 Problem-Solving Goals:
 * Use and develop benchmarks to estimate the size of angles.
 * Increase the ability to reason with shapes.
 * Practice measuring angles and realize when precision in measurement is important.
 * Realize that as the sides of an angle are extended, the angle size or the amount of the turn does not change, but the distance between the two sides does not change.
 * Explore the patterns among angles created when two or more parallel lines are cut by another line.
 * Develop a better understanding of parallel lines and parallelograms.
 * __Investigation 3:__**

 Problem-Solving Goals:
 * Find angle sums of polygons
 * Determine relationships between the number of sides and the angle sum of a regular polygon
 * <span style="font-family: 'Comic Sans MS',cursive;">Form conjectures about the relationship between the number of sides and the angle sum of any polygon.
 * <span style="font-family: 'Comic Sans MS',cursive;">Decide which regular polygons will tile by themselves or in combinations using information about interior angles.
 * <span style="font-family: 'Comic Sans MS',cursive;">Explore the sum of the exterior angles of a polygon.
 * __Investigation 4:__**

<span style="font-family: 'Comic Sans MS',cursive;"> Resources:
 * <span style="font-family: 'Comic Sans MS',cursive;">Decide whether any three sides lengths will make a triangle.
 * <span style="font-family: 'Comic Sans MS',cursive;">Find that the sum of two side lengths of a triangle must be greater than the third side length.
 * <span style="font-family: 'Comic Sans MS',cursive;">Decide whether any four side lengths will make a quadrilateral.
 * <span style="font-family: 'Comic Sans MS',cursive;">Find that the sum of three side lengths of a quadrilateral must be greater than the fourth side length.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use properties of quadrilaterals to make specific quadrilaterals.

[|Video Resources:] Click this link for video tutorials for the major concepts taught for each investigation of Bits and Pieces 1.

<span style="color: rgb(0, 3, 255);"><span style="color: rgb(255, 0, 0);">Below are links to the math.com website that will provide students with additional instruction at home. These sites are very useful to share with parents at the beginning of the unit.

[|Measuring Angles:]

[|Lines of Symmetry:]

Assessments: Below are assessments that can be downloaded and viewed within the Exam View Program as well as a web page format.

- Exam View Version - Online Version

Parent Connection: The document below are the list of skills and concepts the students are learning throughout Bits and Pieces 3. This is a resource for parents to help their child with homework.