ALEX Lesson Plans
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Title: Fibonacci Poetry
Description:
Students will review the Fibonacci sequence and compose poems with the number of syllables in each line corresponding to the the numbers of that sequence.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [ELA2013] (9) 22: Write narratives to develop real or imagined experiences or events using effective technique, wellchosen details, and wellstructured event sequences. [W.910.3] [ELA2013] (9) 21: Write informative or explanatory texts to examine and convey complex ideas, concepts, and information clearly and accurately through the effective selection, organization, and analysis of content. [W.910.2] [ELA2013] (9) 20: Write arguments to support claims in an analysis of substantive topics or texts, using valid reasoning and relevant and sufficient evidence. [W.910.1] [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3]
Subject: English Language Arts (9), or Mathematics (9  12)
Title: Fibonacci Poetry
Description: Students will review the Fibonacci sequence and compose poems with the number of syllables in each line corresponding to the the numbers of that sequence.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Symmetry: Theory, Reality and Art!
Description:
Students will explore symmetry as defined in geometry, as seen in their community and through the art of EscherEscher Art Website. Technology and art are incorporated in this lesson. The incorporation of art is an important element in developing the ‘whole child’ if a school system has been forced to eliminate a formal arts program. 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): [AED] VA1 (712) 5: Demonstrate the use of traditional, digital, and multimedia techniques to create works of art. [AED] VA1 (712) 1: Create original works of art from direct observation. [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
Subject: Arts Education (7  12), or Mathematics (9  12)
Title: Symmetry: Theory, Reality and Art!
Description: Students will explore symmetry as defined in geometry, as seen in their community and through the art of EscherEscher Art Website. Technology and art are incorporated in this lesson. The incorporation of art is an important element in developing the ‘whole child’ if a school system has been forced to eliminate a formal arts program. 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: Discovering Earth's History
Description:
This lesson introduces the basic principles that are used to interpret geologic time. It associates the relationships between the rock record and historical events that created the landforms on our planet. It explains how the rock record can be interpreted by geologists.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): [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] AQU (912) 6: Describe adaptations that allow organisms to exist in specific aquatic environments. [S1] CHE (912) 3: Use the periodic table to identify periodic trends, including atomic radii, ionization energy, electronegativity, and energy levels. [S1] CHE (912) 8: Distinguish among endothermic and exothermic physical and chemical changes. [S1] CHE (912) 9: Distinguish between chemical and nuclear reactions. [S1] E&S (912) 7: Explain techniques for determining the age and composition of Earth and the universe. [S1] E&S (912) 10: Identify scientists and their findings relative to Earth and space, including Copernicus, Galileo, Kepler, Newton, and Einstein. [S1] ENV (912) 4: Identify the impact of pollutants on the atmosphere. [S1] ENV (912) 7: Identify reasons coastal waters serve as an important resource. [S1] FOR (912) 2: Explain ways to collect and preserve evidence from a crime scene. [S1] FOR (912) 6: Describe the decomposition process. [S1] FOR (912) 7: Identify the importance of skeletal remains in forensics. [S1] GEL (912) 2: Relate the concept of equilibrium to geological processes, including plate tectonics and stream flow. [S1] GEL (912) 3: Explain natural phenomena that shape the surface of Earth, including rock cycles, plate motions and interactions, erosion and deposition, volcanism, earthquakes, weathering, and tides. [S1] GEL (912) 4: Describe the topography of the sea floor and the continents. [S1] GEL (912) 6: Explain the concept of geological time within the framework of the geologic time scale. [S1] GEL (912) 7: Describe processes of rock formation. [S1] GEL (912) 11: Identify mass movements, including topples, slides, spreads, and flows. [S1] GEL (912) 15: Identify geological regions in Alabama and the southeastern United States. [S1] MAR (912) 1: Select appropriate equipment for scientific field investigations in marine environments. [S1] MAR (912) 3: Describe physical characteristics of oceans, including topography of the ocean floor, plate tectonics, wave motion, depth, and pressure. [S1] MAR (912) 6: Describe components of major marine ecosystems, including estuaries, coral reefs, benthic communities, and openocean communities. [S1] PHS (912) 1: Recognize periodic trends of elements, including the number of valence electrons, atomic size, and reactivity. [S1] PHS (912) 5: Describe physical and chemical changes in terms of endothermic and exothermic processes. [S1] PHS (912) 7: Relate velocity, acceleration, and kinetic energy to mass, distance, force, and time. [S1] PHS (912) 8: Relate the law of conservation of energy to transformations of potential energy, kinetic energy, and thermal energy. [S1] PHS (912) 10: Explain the relationship between electricity and magnetism. [S1] PHS (912) 11: Describe the nuclear composition of unstable isotopes and the resulting changes to their nuclear composition. [MA2013] ALC (912) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] ALC (912) 7: Use analytical, numerical, and graphical methods to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. (Alabama) [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] AL1 (912) 41: Represent data with plots on the real number line (dot plots, histograms, and box plots). [SID1]
Subject: Mathematics (9  12), or Science (9  12)
Title: Discovering Earth's History
Description: This lesson introduces the basic principles that are used to interpret geologic time. It associates the relationships between the rock record and historical events that created the landforms on our planet. It explains how the rock record can be interpreted by geologists.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: Let’s Tessellate
Description:
This lesson is a handson, technologybased project that will take place in the classroom and computer lab. Students will discover which regular polygons tessellate the plane by constructing polygonal tessellations. Students will also use a spreadsheet to calculate the area and perimeter of the polygons.
Standard(s): [TC2] CA2 (912) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. [MA2013] (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] [MA2013] (8) 17: Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. [8G2] [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama) [MA2013] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama) [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama) [MA2013] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
Subject: Mathematics (7  12), or Technology Education (9  12)
Title: Let’s Tessellate
Description: This lesson is a handson, technologybased project that will take place in the classroom and computer lab. Students will discover which regular polygons tessellate the plane by constructing polygonal tessellations. Students will also use a spreadsheet to calculate the area and perimeter of the polygons.
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Title: Golden Ratios of the Body, Architecture, and Nature
Description:
Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
Standard(s): [TC2] CA2 (912) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. [MA2013] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama) [MA2013] MI1 (912) 3: Use special numbers, including e, i, π and the golden ratio, to solve applicationbased problems. [MA2013] GEO (912) 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).* [GMG3] [MA2013] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama) [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] (7) 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7SP4] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (6) 24: Represent threedimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving realworld and mathematical problems. [6G4]
Subject: Mathematics (6  12), or Technology Education (9  12)
Title: Golden Ratios of the Body, Architecture, and Nature
Description: Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
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Title: Soda Cans
Description:
This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.
Standard(s): [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1] [MA2013] 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] [MA2013] GEO (912) 24: Prove that all circles are similar. [GC1] [MA2013] GEO (912) 25: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [GC2] [MA2013] GEO (912) 27: (+) Construct a tangent line from a point outside a given circle to the circle. [GC4] [MA2013] GEO (912) 28: Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. [GC5] [MA2013] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3] [MA2013] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4] [MA2013] GEO (912) 39: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).* [GMG1] [MA2013] GEO (912) 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).* [GMG3] [MA2013] ALC (912) 7: Use analytical, numerical, and graphical methods to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. (Alabama) [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] ALC (912) 10: Critique measurements in terms of precision, accuracy, and approximate error. (Alabama) [MA2013] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Mathematics Title: Soda Cans
Description: This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Transformations and Frieze Patterns
Description:
In two lessons, this unit will introduce students to the world of symmetry and rotation in figures and patterns. Students learn to recognize and classify symmetry in decorative figures and frieze patterns, and will also get the chance to create and classify their own figures and patterns using JavaSketchpad applets.
Standard(s): [MA2013] GEO (912) 5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. [GCO5] [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama)
Subject: Mathematics Title: Transformations and Frieze Patterns
Description: In two lessons, this unit will introduce students to the world of symmetry and rotation in figures and patterns. Students learn to recognize and classify symmetry in decorative figures and frieze patterns, and will also get the chance to create and classify their own figures and patterns using JavaSketchpad applets. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Classifying Transformations
Description:
Students will identify and classify reflections and symmetries in figures and patterns. They will also have the opportunity to create frieze patterns from each of the seven classes using the supplemental online activities.
Standard(s): [MA2013] GEO (912) 3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. [GCO3] [MA2013] GEO (912) 4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. [GCO4] [MA2013] GEO (912) 5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. [GCO5] [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama)
Subject: Arts,Mathematics Title: Classifying Transformations
Description: Students will identify and classify reflections and symmetries in figures and patterns. They will also have the opportunity to create frieze patterns from each of the seven classes using the supplemental online activities. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Art Algorithms
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In this Science Update, from Science NetLinks, you'll hear about new methods of art conservation. Art conservation is traditionally a painstaking and timeconsuming business. But the process of fixing up a damaged da Vinci or a scarred Seurat may become a lot easier, thanks to the work of mathematicians. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.
Standard(s): [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] DM1 (912) 7: Solve problems through investigation and application of existence and nonexistence of Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits. (Alabama) [MA2013] DM1 (912) 8: Apply algorithms, including Kruskal's and Prim's, relating to minimum weight spanning trees, networks, flows, and Steiner trees. (Alabama) [MA2013] DM1 (912) 9: Determine a minimum project time using algorithms to schedule tasks in order, including critical path analysis, the listprocessing algorithm, and studentcreated algorithms. (Alabama) [MA2013] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
Subject: Arts, Mathematics, Science Title: Art Algorithms
Description: In this Science Update, from Science NetLinks, you'll hear about new methods of art conservation. Art conservation is traditionally a painstaking and timeconsuming business. But the process of fixing up a damaged da Vinci or a scarred Seurat may become a lot easier, thanks to the work of mathematicians. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
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Title: Golden Ratio
Description:
In this Illuminations lesson, students explore the Fibonacci sequence. They examine how the ratio of two consecutive Fibonacci numbers creates the Golden Ratio and identify reallife examples of the Golden Ratio.
Standard(s): [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3] [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] DM1 (912) 2: Determine characteristics of sequences, including the Fibonacci sequence, the triangular numbers, and pentagonal numbers. (Alabama) [MA2013] MI1 (912) 5: Identify beginnings of algebraic symbolism and structure through the works of European mathematicians. (Alabama) [MA2013] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
Subject: Mathematics Title: Golden Ratio
Description: In this Illuminations lesson, students explore the Fibonacci sequence. They examine how the ratio of two consecutive Fibonacci numbers creates the Golden Ratio and identify reallife examples of the Golden Ratio. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Thinkfinity Podcasts
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Title: Art Algorithms
Description:
In this Science Update, from Science NetLinks, you'll hear about new methods of art conservation. Art conservation is traditionally a painstaking and timeconsuming business. But the process of fixing up a damaged da Vinci or a scarred Seurat may become a lot easier, thanks to the work of mathematicians. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.
Standard(s): [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama) [MA2013] DM1 (912) 7: Solve problems through investigation and application of existence and nonexistence of Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits. (Alabama) [MA2013] DM1 (912) 8: Apply algorithms, including Kruskal's and Prim's, relating to minimum weight spanning trees, networks, flows, and Steiner trees. (Alabama) [MA2013] DM1 (912) 9: Determine a minimum project time using algorithms to schedule tasks in order, including critical path analysis, the listprocessing algorithm, and studentcreated algorithms. (Alabama) [MA2013] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
Subject: Arts, Mathematics, Science Title: Art Algorithms
Description: In this Science Update, from Science NetLinks, you'll hear about new methods of art conservation. Art conservation is traditionally a painstaking and timeconsuming business. But the process of fixing up a damaged da Vinci or a scarred Seurat may become a lot easier, thanks to the work of mathematicians. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8,9,10,11,12
Thinkfinity Learning Activities
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Title: Mirror Tool
Description:
This student interactive, from Illuminations, can be used to investigate symmetry. Students can view the results when they flip, rotate, or reflect a figure across a line.
Standard(s): [MA2013] ALC (912) 9: Analyze aesthetics of physical models for line symmetry, rotational symmetry, or the golden ratio. (Alabama)
Subject: Mathematics Title: Mirror Tool
Description: This student interactive, from Illuminations, can be used to investigate symmetry. Students can view the results when they flip, rotate, or reflect a figure across a line. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

