ALEX Lesson Plans
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!
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.
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.
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.
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
Subject: Mathematics Title: A Swath of Red
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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
Subject: Mathematics Title: IGD: Area of a Parallelogram
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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
Subject: Mathematics Title: IGD: Area of a Triangle
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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
Subject: Mathematics Title: Interactive Geometry Dictionary: Lines in Geometry
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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
Subject: Mathematics Title: Interactive Geometry Dictionary: Areas in Geometry
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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
Subject: Mathematics Title: Polygons
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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
Subject: Mathematics Title: Getting into the Electoral College
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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
Subject: Mathematics Title: Area Contractor
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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
Subject: Mathematics Title: Learning about Multiplication Using Dynamic Sketches of an Area Model
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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
Subject: Mathematics Title: Linking Length, Perimeter, Area, and Volume
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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
Subject: Mathematics Title: IGD: Area of a Rectangle
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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
Subject: Mathematics Title: Area Formulas
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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
Subject: Mathematics Title: Discovering the Area Formula for Triangles
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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
Subject: Mathematics Title: Finding the Area of Trapezoids
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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
Subject: Mathematics Title: Finding the Area of Irregular Figures
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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
Subject: Mathematics Title: Unknown Triangles
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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
Subject: Mathematics Title: Trapezoid
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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
Subject: Language Arts,Mathematics Title: Go the Distance
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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
Subject: Mathematics Title: Finding the Area of Parallelograms
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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
Subject: Mathematics Title: Archimedes' Puzzle
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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
Subject: Mathematics Title: Creating A Firewise Defensible Space
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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
Subject: Mathematics Title: Calculation Nation
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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
Subject: Mathematics Title: Patterns and Function
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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
Subject: Mathematics Title: Constant Dimensions
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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

