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#### Description:

In this activity, students compute the area of a polygon constructed of squares on a coordinate plane. This activity allows students to explore areas of polygons and compare the area and perimeter of different figures. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

#### Subjects:

• Mathematics > General

#### Keywords:

Informal Education,Grade 3,oai:nsdl.org:2200/20120614151531337T,NSDL,Upper Elementary,Grade 5,Elementary School Programming,Grade 4,Middle School,Grade 6,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,Elementary School,Vocational/Professional Development Education,Mathematics,Middle School Programming

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.3.MD.C.5a: Common Core State Standards for Mathematics

A square with side length 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.

#### CCSS.Math.Content.3.MD.C.5b: Common Core State Standards for Mathematics

A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

#### CCSS.Math.Content.3.MD.C.6: Common Core State Standards for Mathematics

Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

#### CCSS.Math.Content.3.MD.C.7b: Common Core State Standards for Mathematics

Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

#### CCSS.Math.Content.3.MD.C.7d: Common Core State Standards for Mathematics

Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

#### CCSS.Math.Content.3.MD.D.8: Common Core State Standards for Mathematics

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

#### CCSS.Math.Content.3.G.A.2: Common Core State Standards for Mathematics

Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.

#### CCSS.Math.Content.6.G.A.3: Common Core State Standards for Mathematics

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
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