ALEX Lesson Plans
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Title: Have Your Math and Eat It, Too!
Description:
In this twoday lesson, students will collaborate to create a healthy pizza using only geometric items that have been precisely measured. Students must identify the items as triangle, quadrilateral (parallelogram), or cube. Next, students will measure the items that they place on their pizza. Finally, students will bake their pizza; therefore, having their math and eating it, too!
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Human Services (7), or Mathematics (4  7)
Title: Have Your Math and Eat It, Too!
Description: In this twoday lesson, students will collaborate to create a healthy pizza using only geometric items that have been precisely measured. Students must identify the items as triangle, quadrilateral (parallelogram), or cube. Next, students will measure the items that they place on their pizza. Finally, students will bake their pizza; therefore, having their math and eating it, too!
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Title: Thinking outside the "BOX"
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The students will find the area of each two dimensional figure on a net of a rectangular prism. In groups, students will cut out the net and create a rectangular prism. Groups will then discuss how to find the lateral area and the total surface area of the solid.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics (6  7)
Title: Thinking outside the "BOX"
Description: The students will find the area of each two dimensional figure on a net of a rectangular prism. In groups, students will cut out the net and create a rectangular prism. Groups will then discuss how to find the lateral area and the total surface area of the solid.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Applications of Area Abound
Description:
The teacher will first provide direction instruction on area formulas and provide students an opportunity to practice using those formulas. Students will then apply their knowledge of area to reallife situations. They will write a short story to go along with the area problem, then record themselves "acting" it out, and finally add clip art images to illustrate their story. They will then turn all of this into a podcast using Photo Story 3, which can be uploaded to the Internet.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics (6  7), or Technology Education (9  12)
Title: Applications of Area Abound
Description: The teacher will first provide direction instruction on area formulas and provide students an opportunity to practice using those formulas. Students will then apply their knowledge of area to reallife situations. They will write a short story to go along with the area problem, then record themselves "acting" it out, and finally add clip art images to illustrate their story. They will then turn all of this into a podcast using Photo Story 3, which can be uploaded to the Internet.
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Title: Polygons  Changing Area versus Changing Perimeter
Description:
Students will investigate what happens to the perimeter of a polygon when the area stays the same. Students will investigate what happens to the area when the perimeter stays the same.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Character Education (K  12), or Mathematics (6  7)
Title: Polygons  Changing Area versus Changing Perimeter
Description: Students will investigate what happens to the perimeter of a polygon when the area stays the same. Students will investigate what happens to the area when the perimeter stays the same.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Geometry City
Description:
In this lesson, students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] (8) 19: Understand that a twodimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them. [8G4]
Subject: Mathematics (6  8), or Technology Education (6  8)
Title: Geometry City
Description: In this lesson, students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Multiplying Polynomials
Description:
Students will be introduced to multiplication of polynomials by looking at an area example. They will have an opportunity to use an interactive website to manipulate an area problem. (optional activity) A PowerPoint presentation will be used to demonstrate that the multiplication of polynomials is an extension of the distributive property. A worksheet is provided for skill practice. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] AL1 (912) 10: Understand that polynomials form a system analogous to the integers; namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. [AAPR1]
Subject: Mathematics (6  12)
Title: Multiplying Polynomials
Description: Students will be introduced to multiplication of polynomials by looking at an area example. They will have an opportunity to use an interactive website to manipulate an area problem. (optional activity) A PowerPoint presentation will be used to demonstrate that the multiplication of polynomials is an extension of the distributive property. A worksheet is provided for skill practice. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Dog Gone Again!
Description:
In this lesson, the students' dogs have escaped once again from the backyard because there is not a fence to contain the dog when it goes out to use the bathroom. The student is to design a rectangular fence that will keep the dog from escaping the yard again. Students will find the perimeter and area of their fence. The students' products will be a Microsoft Word drawing.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project, funded by the Malone Family Foundation.
Standard(s): [MA2015] (4) 21: Apply the area and perimeter formulas for rectangles in realworld and mathematical problems. [4MD3]
Subject: Mathematics (3  7), or Technology Education (3  5)
Title: Dog Gone Again!
Description: In this lesson, the students' dogs have escaped once again from the backyard because there is not a fence to contain the dog when it goes out to use the bathroom. The student is to design a rectangular fence that will keep the dog from escaping the yard again. Students will find the perimeter and area of their fence. The students' products will be a Microsoft Word drawing.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project, funded by the Malone Family Foundation.
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Title: Exploring Length and Perimeter
Description:
In this lesson students manipulate and calculate the perimeter of geometric shapes on a grid through the use of a technologybased resource. Handson activities and class discussion reinforce the concept. This lesson can be used as a followup lesson or to introduce perimeter and length.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Mathematics (6), or Technology Education (6  8)
Title: Exploring Length and Perimeter
Description: In this lesson students manipulate and calculate the perimeter of geometric shapes on a grid through the use of a technologybased resource. Handson activities and class discussion reinforce the concept. This lesson can be used as a followup lesson or to introduce perimeter and length.
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Title: Swimming Pool Math
Description:
Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
Standard(s): [MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9]
Subject: Mathematics (6  12)
Title: Swimming Pool Math
Description: Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
Thinkfinity Lesson Plans
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Title: A Swath of Red
Description:
In this lesson, one of a multipart unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.
Standard(s): [MA2015] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2]
Subject: Mathematics Title: A Swath of Red
Description: In this lesson, one of a multipart unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Polygons
Description:
This reproducible activity sheet, from an Illuminations lesson, features line drawings of several polygons including squares, triangles, rectangles, parallelograms, and trapezoids.
Standard(s): [MA2015] GEO (912) 3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. [GCO3]
Subject: Mathematics Title: Polygons
Description: This reproducible activity sheet, from an Illuminations lesson, features line drawings of several polygons including squares, triangles, rectangles, parallelograms, and trapezoids. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Getting into the Electoral College
Description:
In this unit of 3 lessons from Illuminations, students are engaged in activities involving percentages, ratios, and area, with a focus throughout on building problemsolving and reasoning skills. They are designed to be used individually to fit within curriculum being covered at the time of an election. Additionally, the lesson extensions include many ideas for interdisciplinary activities and some possible schoolwide activities.
Standard(s): [MA2015] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Mathematics Title: Getting into the Electoral College
Description: In this unit of 3 lessons from Illuminations, students are engaged in activities involving percentages, ratios, and area, with a focus throughout on building problemsolving and reasoning skills. They are designed to be used individually to fit within curriculum being covered at the time of an election. Additionally, the lesson extensions include many ideas for interdisciplinary activities and some possible schoolwide activities. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Area Contractor
Description:
In this Illuminations lesson, students are given the opportunity to explore surface area in the same way that a contractor might when providing an estimate to a potential customer. Once the customer accepts the estimate, a more detailed measurement is taken and a quote prepared.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Area Contractor
Description: In this Illuminations lesson, students are given the opportunity to explore surface area in the same way that a contractor might when providing an estimate to a potential customer. Once the customer accepts the estimate, a more detailed measurement is taken and a quote prepared. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Linking Length, Perimeter, Area, and Volume
Description:
In this fourlesson unit, from Illuminations, students explore ratio, proportion, scale factor and similarity using perimeter, area, volume and surface area of various rectangular shapes. Students use an online interactive applet to explore how the perimeters, areas, and side lengths of similar rectangles are related.
Standard(s): [MA2015] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2]
Subject: Mathematics Title: Linking Length, Perimeter, Area, and Volume
Description: In this fourlesson unit, from Illuminations, students explore ratio, proportion, scale factor and similarity using perimeter, area, volume and surface area of various rectangular shapes. Students use an online interactive applet to explore how the perimeters, areas, and side lengths of similar rectangles are related. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Area Formulas
Description:
In this unit of four lessons, from Illuminations, students use the area formula for a rectangle to discover the area formulas for triangles, parallelograms and trapezoids. Students also consider irregular figures whose areas can be determined by estimation or decomposition.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Area Formulas
Description: In this unit of four lessons, from Illuminations, students use the area formula for a rectangle to discover the area formulas for triangles, parallelograms and trapezoids. Students also consider irregular figures whose areas can be determined by estimation or decomposition. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Discovering the Area Formula for Triangles
Description:
In this lesson, one of a multipart unit from Illuminations, students learn the area formula for a triangle. Students find the areas of rectangles and squares and compare them to the areas of triangles derived from the original shape.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Discovering the Area Formula for Triangles
Description: In this lesson, one of a multipart unit from Illuminations, students learn the area formula for a triangle. Students find the areas of rectangles and squares and compare them to the areas of triangles derived from the original shape. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Finding the Area of Trapezoids
Description:
In this lesson, one of a multipart unit from Illuminations, students discover the area formula for trapezoids and explore alternative methods for calculating the area of a trapezoid.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Finding the Area of Trapezoids
Description: In this lesson, one of a multipart unit from Illuminations, students discover the area formula for trapezoids and explore alternative methods for calculating the area of a trapezoid. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Finding the Area of Irregular Figures
Description:
In this lesson, one of a multipart unit from Illuminations, students estimate the areas of highly irregular shapes and use a process of decomposition to calculate the areas of irregular polygons.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Finding the Area of Irregular Figures
Description: In this lesson, one of a multipart unit from Illuminations, students estimate the areas of highly irregular shapes and use a process of decomposition to calculate the areas of irregular polygons. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Unknown Triangles
Description:
This reproducible activity, from an Illuminations lesson, instructs students to find the area of two triangles, for which base length and height are provided.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Mathematics Title: Unknown Triangles
Description: This reproducible activity, from an Illuminations lesson, instructs students to find the area of two triangles, for which base length and height are provided. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Trapezoid
Description:
This reproducible activity sheet, from an Illuminations lesson, features several drawings of trapezoids of different sizes. Students first estimate then measure the area of the trapezoids.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Trapezoid
Description: This reproducible activity sheet, from an Illuminations lesson, features several drawings of trapezoids of different sizes. Students first estimate then measure the area of the trapezoids. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Go the Distance
Description:
This lesson is the fourth part of a fourpart Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.''
Standard(s): [MA2015] (8) 18: Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates. [8G3]
Subject: Language Arts,Mathematics Title: Go the Distance
Description: This lesson is the fourth part of a fourpart Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.'' Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Finding the Area of Parallelograms
Description:
In this lesson, one of a multipart unit from Illuminations, students use their knowledge of rectangles to discover the area formula for parallelograms.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Finding the Area of Parallelograms
Description: In this lesson, one of a multipart unit from Illuminations, students use their knowledge of rectangles to discover the area formula for parallelograms. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Archimedes' Puzzle
Description:
In this lesson, students learn about the history of the Stomachion, an ancient tangramtype puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces.
Standard(s): [MA2015] (8) 19: Understand that a twodimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them. [8G4]
Subject: Mathematics Title: Archimedes' Puzzle
Description: In this lesson, students learn about the history of the Stomachion, an ancient tangramtype puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Creating A Firewise Defensible Space
Description:
In this lesson, one of a multipart unit from Illuminations, students learn about creating defensible space around a home using a series of fire protection zones. Students then draw the zones that surround a house and estimate the area of each zone.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Creating A Firewise Defensible Space
Description: In this lesson, one of a multipart unit from Illuminations, students learn about creating defensible space around a home using a series of fire protection zones. Students then draw the zones that surround a house and estimate the area of each zone. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Patterns and Function
Description:
In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two and threedimensional shapes.
Standard(s): [MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9]
Subject: Mathematics Title: Patterns and Function
Description: In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two and threedimensional shapes. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Constant Dimensions
Description:
In this Illuminations lesson, students measure the length and width of a rectangle using both standard and nonstandard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising.
Standard(s): [MA2015] (7) 10: Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7EE4]
Subject: Mathematics Title: Constant Dimensions
Description: In this Illuminations lesson, students measure the length and width of a rectangle using both standard and nonstandard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Technology in Math (Small Group/Centers)
Digital Tool:
Tenmarks Web Address URL:
http://www.tenmarks.com Standard(s):
[MA2015] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5] Digital Tool Description: Tenmarks is a free web resource for math. In addition, educators can create accounts for students in which students can access the site 24/7. Tenmarks is design for students in grades second though tenth grades. Tenmarks provides a multiple choice styles of questions for students. Tenmarks allows teachers to personlize instruction for students whether they are below, on, or above grade level in math. In addition, tenmarks is great for small group instruction, centers, and intervention. It provides indivdualize data for students and is a good tool to measure mastery of standards for testing and content knowledge.
Title: Technology in Math (Small Group/Centers) Digital Tool: Tenmarks Digital Tool Description: Tenmarks is a free web resource for math. In addition, educators can create accounts for students in which students can access the site 24/7. Tenmarks is design for students in grades second though tenth grades. Tenmarks provides a multiple choice styles of questions for students. Tenmarks allows teachers to personlize instruction for students whether they are below, on, or above grade level in math. In addition, tenmarks is great for small group instruction, centers, and intervention. It provides indivdualize data for students and is a good tool to measure mastery of standards for testing and content knowledge.
ALEX Podcasts
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Title: A Reference Tool: Finding the area of a triangle, square, and parallelogram
Overview:
This Podcast will be used as a reference tool. Students can refer to this tool to refresh their knowledge on how to find the area of a triangle, square, and parallelogram. Standard(s):
[MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
A Reference Tool: Finding the area of a triangle, square, and parallelogram Overview: This Podcast will be used as a reference tool. Students can refer to this tool to refresh their knowledge on how to find the area of a triangle, square, and parallelogram.
Thinkfinity Interactive Games
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Title: Learning about Multiplication Using Dynamic Sketches of an Area Model
Description:
Students can learn to visualize the effects of multiplying a fixed positive number by positive numbers greater than 1 and less than 1 with this tool. Using interactive figures, students can investigate how changing the height of a rectangle with a fixed width changes its area. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2015] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics Title: Learning about Multiplication Using Dynamic Sketches of an Area Model
Description: Students can learn to visualize the effects of multiplying a fixed positive number by positive numbers greater than 1 and less than 1 with this tool. Using interactive figures, students can investigate how changing the height of a rectangle with a fixed width changes its area. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Thinkfinity Learning Activities
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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 (912) 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. [GCO11]
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
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Title: IGD: Area of a Triangle
Description:
This student interactive, from Illuminations, helps students understand and investigate how to find the area of a triangle by finding a way to make it look like a simpler shapone whose area formula is known. Students make a copy of the triangle, and then make a parallelogram using the triangle and its copy. Students then determine that the area of the triangle is onehalf that of the parallelogram.
Standard(s): [MA2015] GEO (912) 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. [GSRT4]
Subject: Mathematics Title: IGD: Area of a Triangle
Description: This student interactive, from Illuminations, helps students understand and investigate how to find the area of a triangle by finding a way to make it look like a simpler shapone whose area formula is known. Students make a copy of the triangle, and then make a parallelogram using the triangle and its copy. Students then determine that the area of the triangle is onehalf that of the parallelogram. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Interactive Geometry Dictionary: Lines in Geometry
Description:
This student interactive, from Illuminations, explores lines and their importance to geometry. Students can investigate the definitions and properties of perpendicular lines, segments, medians, Euler lines, and more.
Standard(s): [MA2015] GEO (912) 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. [GCO12]
Subject: Mathematics Title: Interactive Geometry Dictionary: Lines in Geometry
Description: This student interactive, from Illuminations, explores lines and their importance to geometry. Students can investigate the definitions and properties of perpendicular lines, segments, medians, Euler lines, and more. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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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 (912) 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. [GCO12]
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
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Title: IGD: Area of a Rectangle
Description:
This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Mathematics Title: IGD: Area of a Rectangle
Description: This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Calculation Nation
Description:
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
Standard(s): [MA2015] DM1 (912) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)
Subject: Mathematics Title: Calculation Nation
Description: Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9

