Covering+and+Surrounding

**Covering and Surrounding**

Problem-Solving Goals:
 * __Investigation 1:__**

 Problem-Solving Goals: 
 * Learn that the area of a figure is the number of square units needed to cover it.
 * Learn that the perimeter of an object is the number of units of length needed to surround it.
 * Understand that two figures with the same area may have different perimeters.
 * Use the relationship between length and width to develop formulas for the area and perimeter of a rectangle.
 * __Investigation 2:__**
 * Explore questions of maximum and minimum in the context of finding the largest and smallest perimeter for rectangles of fixed area.
 * Understand that the perimeters of rectangles with a fixed area can vary considerably.
 * Continue to develop facility using formulas for finding perimeter and area of rectangles.
 * Continue to develop a conceptual understanding of area and perimeter.
 * Find the minimum and maximum area of a rectangle with a fixed perimeter.
 * Construct diagrams, tables and graphs to organize and represent data.
 * Apply the understanding of the relationship between area and perimeter to nonrectangular figures.

Problem-Solving Goals: 
 * __Investigation 3:__**
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop and employ reasonable strategies for estimating the area of a triangle.
 * <span style="font-family: 'Comic Sans MS',cursive;">Find the relationships between rectangles and triangles and use these to develop techniques for finding the area of a triangle.
 * <span style="font-family: 'Comic Sans MS',cursive;">Distinguish among base, height, and side lengths of triangles.
 * <span style="font-family: 'Comic Sans MS',cursive;">Explore how triangles with the same base and height can look different but have the same area.
 * <span style="font-family: 'Comic Sans MS',cursive;">Apply techniques for finding the areas and perimeters of rectangles and triangles to a variety of situations.

Problem-Solving Goals: <span style="font-family: 'Comic Sans MS',cursive;"> Problem-Solving Goals: <span style="font-family: 'Comic Sans MS',cursive;">
 * __Investigation 4:__**
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop and employ reasonable strategies for finding the areas and perimeters of parallelograms.
 * <span style="font-family: 'Comic Sans MS',cursive;">Find area relationships between rectangles, triangles, and parallelograms.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use relationships between parallelograms and triangles to develop techniques for finding the areas of a parallelogram.
 * <span style="font-family: 'Comic Sans MS',cursive;">Distinguish among the base, height, and side lengths of a parallelogram
 * <span style="font-family: 'Comic Sans MS',cursive;">Understand that a parallelogram may be positioned in more than one way, and thus may have more than one base-height pair, but only one area.
 * <span style="font-family: 'Comic Sans MS',cursive;">Apply techniques for finding the areas and perimeters and parallelograms to a variety of problem solving situations.
 * __Investigation 5:__**
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop continuing techniques for estimating areas and perimeters of irregular figures.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use ideas about area and perimeter to solve practical problems.
 * <span style="font-family: 'Comic Sans MS',cursive;">Continue to develop a conceptual understanding of area and perimeter.
 * <span style="font-family: 'Comic Sans MS',cursive;">Discover that it takes slightly more than three diameters to equal the circumference of a circle.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use this discovery to develop a formula for the circumference of a circle.
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop strategies for organizing and comparing data.
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop techniques for estimating the area of a circle.


 * Resources:**

[|Video Tutorials:] Click this link for video tutorials for the major concepts taught for each investigation of Covering and Surrounding.

[|Area Formulas:] Tutorial website for finding the area of polygons.

[|Perimeter Formulas:] Tutorial website for finding the perimeter of polygons.

[|Circumference and Radius of Circles:]


 * 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 Covering and Surrounding. This is a resource for parents to help their child with homework.