**Title:** 2020 - Year of the Cool School!

**Description:**
Hey! Are you tired of your old lame school? Are the halls too narrow? Do you like walking outside to get to the cafeteria? Are the classrooms too small? Is the design too simple - just too wacky for a middle school? Well, now is the biggest break of your lives - You and your peers will design the school of the future and make history! Your biggest challenge is to create a section of a dream school that oozes and awes your peers. Each team will design a section (cafeteria, library, performing arts room, or recreational room) of the school, research different floor coverings for the section, research different loans to cover the cost of the floor coverings, and design a model of each section. Grab your math knowledge and as many construction tools as you can because you are about to construct a building for the world to remember. But wait, THE CATCH - your team will be competing against other groups. So put your thinking caps on and let the building begin!
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics (7), or Technology Education (6 - 8)

**Title:**2020 - Year of the Cool School!

**Description:**Hey! Are you tired of your old lame school? Are the halls too narrow? Do you like walking outside to get to the cafeteria? Are the classrooms too small? Is the design too simple - just too wacky for a middle school? Well, now is the biggest break of your lives - You and your peers will design the school of the future and make history! Your biggest challenge is to create a section of a dream school that oozes and awes your peers. Each team will design a section (cafeteria, library, performing arts room, or recreational room) of the school, research different floor coverings for the section, research different loans to cover the cost of the floor coverings, and design a model of each section. Grab your math knowledge and as many construction tools as you can because you are about to construct a building for the world to remember. But wait, THE CATCH - your team will be competing against other groups. So put your thinking caps on and let the building begin!

**Title:** Water Tank Creations Part I

**Description:**
In this lesson students will study the surface area and volume of three-dimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 4-5 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.
**Standard(s): **

[MA2015] GEO (9-12) 40: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, British Thermal Units (BTUs) per cubic foot).* [G-MG2]

**Subject:**Mathematics (7 - 12), or Technology Education (9 - 12)

**Title:**Water Tank Creations Part I

**Description:**In this lesson students will study the surface area and volume of three-dimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 4-5 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.

**Title:** Creating a Water Tank - Part II "Selling the Tank"

**Description:**
Working in groups of 4-5 students will take the information,pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics (7 - 12), or Technology Education (9 - 12)

**Title:**Creating a Water Tank - Part II "Selling the Tank"

**Description:**Working in groups of 4-5 students will take the information,pictures and 3-D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.

**Title:** Cubes Everywhere

**Description:**
In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. Students are given the opportunity to build and take apart structures based on cubes.
**Standard(s): **

[MA2015] GEO (9-12) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [G-MG3]

**Subject:**Mathematics

**Title:**Cubes Everywhere

**Description:**In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. Students are given the opportunity to build and take apart structures based on cubes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Exploring the Isometric Drawing Tool

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. They explore polyhedra using different representations and perspectives.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Exploring the Isometric Drawing Tool

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. They explore polyhedra using different representations and perspectives.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Inequalities in Triangles

**Description:**
In this Illuminations lesson, students use pasta to create models of triangles and non-triangles in order to investigate the relationship between the longest side of the triangle and the sum of the other two sides of the triangle. In addition, students measure the sides and angles of a scalene triangle and investigate the relationship between the location of the largest angle and largest side in a triangle. There are also links to online activity sheets.
**Standard(s): **

[MA2015] GEO (9-12) 17: Prove theorems about triangles. *Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity.* [G-SRT4]

**Subject:**Mathematics

**Title:**Inequalities in Triangles

**Description:**In this Illuminations lesson, students use pasta to create models of triangles and non-triangles in order to investigate the relationship between the longest side of the triangle and the sum of the other two sides of the triangle. In addition, students measure the sides and angles of a scalene triangle and investigate the relationship between the location of the largest angle and largest side in a triangle. There are also links to online activity sheets.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Triangle Classification

**Description:**
In this Illuminations lesson, based on the Triangle Classification problem, students attempt to classify triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment. Students classify triangles according to sides and angles. In addition, there are links to online activity sheets and other related resources.
**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:**Triangle Classification

**Description:**In this Illuminations lesson, based on the Triangle Classification problem, students attempt to classify triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment. Students classify triangles according to sides and angles. In addition, there are links to online activity sheets and other related resources.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Triangle Classification

**Description:**
This transparency, from an Illuminations lesson, asks students to identify all points that create right, obtuse, isosceles, acute, scalene and equilateral triangles when given an AB segment.
**Standard(s): **

[MA2015] GEO (9-12) 26: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. [G-C3]

**Subject:**Mathematics

**Title:**Triangle Classification

**Description:**This transparency, from an Illuminations lesson, asks students to identify all points that create right, obtuse, isosceles, acute, scalene and equilateral triangles when given an AB segment.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Mathematics and Children's Literature

**Description:**
In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
**Standard(s): **

[ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 6-8 text complexity band independently and proficiently. [RL.8.10]

**Subject:**Language Arts,Mathematics

**Title:**Mathematics and Children's Literature

**Description:**In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** Sorting Polygons

**Description:**
In this Illuminations lesson, students identify and classify polygons according to various attributes. Extensions to fundamental ideas about probability and statistics are also included.
**Standard(s): **

[MA2015] (7) 12: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. [7-G2]

**Subject:**Mathematics

**Title:**Sorting Polygons

**Description:**In this Illuminations lesson, students identify and classify polygons according to various attributes. Extensions to fundamental ideas about probability and statistics are also included.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Angles

**Overview:**
This is a student-narrated PowerPoint about angles. The student defines different types of angles such as right, acute, obtuse, straight, vertical, interior, and exterior. She also describes angle measurement and application of angle measurement. **Standard(s): **

[MA2015] (7) 12: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. [7-G2]

**Overview:**

This is a student-narrated PowerPoint about angles. The student defines different types of angles such as right, acute, obtuse, straight, vertical, interior, and exterior. She also describes angle measurement and application of angle measurement.

**Title:** IGD: Angle Bisector

**Description:**
This student interactive, from Illuminations, helps students understand and investigate angle bisectors. Students read a definition and then construct an angle bisector using the interactive tool. Finally, students take a closer look at the properties of angle bisectors by answering a set of questions and then checking their answers.
**Standard(s): **

[MA2015] MI1 (9-12) 11: Describe the development of mathematical tools and their applications. (Alabama)

**Subject:**Mathematics

**Title:**IGD: Angle Bisector

**Description:**This student interactive, from Illuminations, helps students understand and investigate angle bisectors. Students read a definition and then construct an angle bisector using the interactive tool. Finally, students take a closer look at the properties of angle bisectors by answering a set of questions and then checking their answers.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** IGD: Euler Line

**Description:**
This student interactive, from Illuminations, helps students understand and investigate Euler lines. Students read a definition and then construct the Euler line of a triangle using the interactive tool. They learn that the Euler line involves three points associated with triangles: the circumcenter, orthocenter, and centroid.
**Standard(s): **

[MA2015] MI1 (9-12) 11: Describe the development of mathematical tools and their applications. (Alabama)

**Subject:**Mathematics

**Title:**IGD: Euler Line

**Description:**This student interactive, from Illuminations, helps students understand and investigate Euler lines. Students read a definition and then construct the Euler line of a triangle using the interactive tool. They learn that the Euler line involves three points associated with triangles: the circumcenter, orthocenter, and centroid.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** IGD: Median

**Description:**
This student interactive, from Illuminations, helps students understand and investigate the median of a triangle. Students read a definition and then use the interactive tool to manipulate and explore the properties of triangle medians by changing the shape of a triangle.
**Standard(s): **

[MA2015] GEO (9-12) 26: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. [G-C3]

**Subject:**Mathematics

**Title:**IGD: Median

**Description:**This student interactive, from Illuminations, helps students understand and investigate the median of a triangle. Students read a definition and then use the interactive tool to manipulate and explore the properties of triangle medians by changing the shape of a triangle.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** IGD: Perpendicular Bisector

**Description:**
This student interactive, from Illuminations, helps students understand and investigate perpendicular bisectors, which are lines perpendicular to a segment that divide it into two congruent segments. Students read a definition and then construct a perpendicular bisector of a segment using the interactive tool.
**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:**IGD: Perpendicular Bisector

**Description:**This student interactive, from Illuminations, helps students understand and investigate perpendicular bisectors, which are lines perpendicular to a segment that divide it into two congruent segments. Students read a definition and then construct a perpendicular bisector of a segment using the interactive tool.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Isometric Dot Paper

**Description:**
Print this isometric grid worksheet and use it to easily draw three-dimensional figures, such as cubes.
**Standard(s): **

[MA2015] (7) 13: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. [7-G3]

**Subject:**Mathematics

**Title:**Isometric Dot Paper

**Description:**Print this isometric grid worksheet and use it to easily draw three-dimensional figures, such as cubes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Isometric Drawing Tool

**Description:**
Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.
**Standard(s): **

[MA2015] GEO (9-12) 38: Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. [G-GMD4]

**Subject:**Mathematics

**Title:**Isometric Drawing Tool

**Description:**Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.

**Thinkfinity Partner:**Illuminations

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

**Title:** Triangle Classification

**Description:**
This student interactive, from an Illuminations lesson, allows students to turn a segment into a right triangle, an isosceles triangle, and an obtuse triangle.
**Standard(s): **

[MA2015] GEO (9-12) 17: Prove theorems about triangles. *Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity.* [G-SRT4]

**Subject:**Mathematics

**Title:**Triangle Classification

**Description:**This student interactive, from an Illuminations lesson, allows students to turn a segment into a right triangle, an isosceles triangle, and an obtuse triangle.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Triangle Island

**Description:**
This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a polygon to its sides and determine the sum of these distances.
**Standard(s): **

[MA2015] GEO (9-12) 17: Prove theorems about triangles. *Theorems include a line parallel to one side of a triangle divides the other two proportionally, and conversely; and the Pythagorean Theorem proved using triangle similarity.* [G-SRT4]

**Subject:**Mathematics

**Title:**Triangle Island

**Description:**This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a polygon to its sides and determine the sum of these distances.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Fractal Tool

**Description:**
This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Mathematics

**Title:**Fractal Tool

**Description:**This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.

**Thinkfinity Partner:**Illuminations

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