**Title:** Students Only! No Teachers Aloud

**Description:**
The students will be introduced to area and perimeter.The teacher will pose a real-life situation in which the students will have a chance to explore an actual section outside to determine the area and perimeter of a set location.
**Standard(s): **

[MA2015] (4) 21: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. [4-MD3]

**Subject:**Mathematics (3 - 4)

**Title:**Students Only! No Teachers Aloud

**Description:**The students will be introduced to area and perimeter.The teacher will pose a real-life situation in which the students will have a chance to explore an actual section outside to determine the area and perimeter of a set location.

**Title:** Finding Area with a geoboard

**Description:**
Students will use a geoboard to visualize the concept of square units, as well as measure with those units. They will also be able to visualize the formal formula to different polygons after working with this manipulative.
**Standard(s): **

**Subject:**Mathematics (3 - 4)

**Title:**Finding Area with a geoboard

**Description:**Students will use a geoboard to visualize the concept of square units, as well as measure with those units. They will also be able to visualize the formal formula to different polygons after working with this manipulative.

**Title:** Abundant Area

**Description:**
This is an inquiry and technology-based lesson that allows students to discover the relationship between perimeter and area. Students apply problem-solving strategies to solve the real-life problem posed in this lesson. This lesson may easily be divided into sections and completed over several days if needed.
**Standard(s): **

[MA2015] (4) 21: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. [4-MD3]

**Subject:**English Language Arts (4), or Mathematics (3 - 4), or Technology Education (3 - 5)

**Title:**Abundant Area

**Description:**This is an inquiry and technology-based lesson that allows students to discover the relationship between perimeter and area. Students apply problem-solving strategies to solve the real-life problem posed in this lesson. This lesson may easily be divided into sections and completed over several days if needed.

**Title:** Another Look at Fractions of a Set

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students identify fractions in real-world contexts from a set of items that are not identical. Students develop skills in problem-solving and reasoning as they think about their set and how to create new sets given specific fractional characteristics.
**Standard(s): **

[MA2015] (5) 24: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5-G2]

**Subject:**Mathematics

**Title:**Another Look at Fractions of a Set

**Description:**In this lesson, one of a multi-part unit from Illuminations, students identify fractions in real-world contexts from a set of items that are not identical. Students develop skills in problem-solving and reasoning as they think about their set and how to create new sets given specific fractional characteristics.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Covering the Plane with Rep-Tiles

**Description:**
In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Rep-tiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved.
**Standard(s): **

[MA2015] GEO (9-12) 16: Use the properties of similarity transformations to establish the angle-angle (AA) criterion for two triangles to be similar. [G-SRT3]

**Subject:**Mathematics

**Title:**Covering the Plane with Rep-Tiles

**Description:**In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Rep-tiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**Title:** Perimeter and Area of a Rectangle

**Digital Tool:**
Online Math Game **Web Address URL:**
http://www.mathplayground.com/area_perimeter.html **Standard(s): **

[MA2015] (3) 22: Relate area to the operations of multiplication and addition. [3-MD7]**Digital Tool Description:** This tool is an online game, which not only grabs the students' attention, but also enables them to enhance their knowledge and understanding of finding perimeter and area. The tool reteaches the concepts of perimeter and area and then allows students to practice with using measurement and formulas to find the perimeter and area.

**Title:**Perimeter and Area of a Rectangle

**Digital Tool:**Online Math Game

**Digital Tool Description:**This tool is an online game, which not only grabs the students' attention, but also enables them to enhance their knowledge and understanding of finding perimeter and area. The tool reteaches the concepts of perimeter and area and then allows students to practice with using measurement and formulas to find the perimeter and area.

**Title:** Number and Operations Web Links

**Description:**
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**Subject:**Mathematics

**Title:**Number and Operations Web Links

**Description:**This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,1,2,3,4,5,6,7,8,9,10,11,12

**Title:** Communicating about Mathematics Using Games: Playing Fraction Tracks

**Description:**
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**Subject:**Mathematics

**Title:**Communicating about Mathematics Using Games: Playing Fraction Tracks

**Description:**Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** IGD: Area of a Parallelogram

**Description:**
This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram.
**Standard(s): **

[MA2015] GEO (9-12) 11: Prove theorems about parallelograms. *Theorems include opposite sides are congruent, opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals.* [G-CO11]

**Subject:**Mathematics

**Title:**IGD: Area of a Parallelogram

**Description:**This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**Title:** Interactive Geometry Dictionary: Areas in Geometry

**Description:**
This student interactive, from Illuminations, demonstrates how to find the area of three common shapes. Interactive investigations demonstrate finding the area of a rectangle, parallelogram, and triangle.
**Standard(s): **

[MA2015] GEO (9-12) 12: Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. *Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.* [G-CO12]

**Subject:**Mathematics

**Title:**Interactive Geometry Dictionary: Areas in Geometry

**Description:**This student interactive, from Illuminations, demonstrates how to find the area of three common shapes. Interactive investigations demonstrate finding the area of a rectangle, parallelogram, and triangle.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8