ALEX Lesson Plans
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Title: Circling Around
Description:
Students will calculate the diameter, circumference, and ratio of a real world object. Students will create an electronic slideshow to illustrate the process of determining the diameter, circumference, and ratio of these objects.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [TC2] (68) 2: Publish digital products that communicate curriculum concepts. [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software.
Subject: Mathematics (7), or Technology Education (6  8)
Title: Circling Around
Description: Students will calculate the diameter, circumference, and ratio of a real world object. Students will create an electronic slideshow to illustrate the process of determining the diameter, circumference, and ratio of these objects.
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Title: Circles All Around Us
Description:
In this lesson, students will estimate several dimensions of circles in everyday objects. Students will use the metric and customary systems for their estimations. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [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) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (7)
Title: Circles All Around Us
Description: In this lesson, students will estimate several dimensions of circles in everyday objects. Students will use the metric and customary systems for their estimations. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Discovering Pi
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This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (6  7)
Title: Discovering Pi
Description: This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Applications of Area Abound
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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): [TC2] CA2 (912) 12: Use digital tools to publish curriculumrelated content. [MA2013] (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] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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]
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: It's Around There Somewhere! Perimeter, and Circumference
Description:
The purpose of this lesson is to review the concepts of perimeter, and circumference.Students will also use their knowledge to apply perimeter, and circumference formulas within practical applications such as in spatial design.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): [MA2013] GEO (912) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. [GGMD1] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [MA2013] (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 (7  12)
Title: It's Around There Somewhere! Perimeter, and Circumference
Description: The purpose of this lesson is to review the concepts of perimeter, and circumference.Students will also use their knowledge to apply perimeter, and circumference formulas within practical applications such as in spatial design.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: "Introducing Pi!"
Description:
The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, handson, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2]
Subject: Mathematics (6  7)
Title: "Introducing Pi!"
Description: The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, handson, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.
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Title: Bu Bu Bubbles!
Description:
Students will employ the Scientific Method, measurement skills and spreadsheet software to generate and report relevant data. The data generated from this activity is used to illustrate the need for consumer awareness and the strength of advertising.
Standard(s): [TC2] (35) 9: Use technology tools to organize, interpret, and display data. [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (7), or Technology Education (3  5)
Title: Bu Bu Bubbles!
Description: Students will employ the Scientific Method, measurement skills and spreadsheet software to generate and report relevant data. The data generated from this activity is used to illustrate the need for consumer awareness and the strength of advertising.
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Title: How Big Can a Bee Be?
Description:
Students will study the relationship between surface area and volume. Math, science, and technology components are included.
Standard(s): [S1] (8) 1: Identify steps within the scientific process. [S1] (7) 1: Describe characteristics common to living things, including growth and development, reproduction, cellular organization, use of energy, exchange of gases, and response to the environment. [S1] BIO (912) 2: Describe cell processes necessary for achieving homeostasis, including active and passive transport, osmosis, diffusion, exocytosis, and endocytosis. [TC2] CA2 (912) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. [TC2] CA2 (912) 14: Use digital tools to defend solutions to authentic problems. [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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]
Subject: Mathematics (7), or Science (7  12), or Technology Education (9  12)
Title: How Big Can a Bee Be?
Description: Students will study the relationship between surface area and volume. Math, science, and technology components are included.
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Title: Apple Pi
Description:
In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Apple Pi
Description: In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: The Ratio of Circumference to Diameter
Description:
In this lesson, one of a multipart unit from Illuminations, students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula.
Standard(s): [MA2013] (6) 2: Understand the concept of a unit rate ^{a}/_{b} associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. [6RP2] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: The Ratio of Circumference to Diameter
Description: In this lesson, one of a multipart unit from Illuminations, students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Square Circles
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This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumferencenamely pi.
Standard(s): [MA2013] (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] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Square Circles
Description: This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumferencenamely pi. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Apple Pie Recording Chart
Description:
This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [MA2013] (7) 17: Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. [7SP1] [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] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1] [MA2013] (8) 26: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. [8SP2] [MA2013] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8SP3] [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 22: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). [AREI10] [MA2013] AL1 (912) 28: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.* [FIF4] [MA2013] AL1 (912) 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [FIF5] [MA2013] AL1 (912) 30: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.* [FIF6] [MA2013] AL1 (912) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7] [MA2013] AL1 (912) 34: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL1 (912) 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [FLE1] [MA2013] AL1 (912) 38: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table). [FLE2] [MA2013] AL1 (912) 40: Interpret the parameters in a linear or exponential function in terms of a context. [FLE5] [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics Title: Apple Pie Recording Chart
Description: This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Discovering the Area Formula for Circles
Description:
In this lesson, one of a multipart unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles.
Standard(s): [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Discovering the Area Formula for Circles
Description: In this lesson, one of a multipart unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Approximations of Pi
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This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [MA2013] (8) 1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8NS1] [MA2013] (8) 2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π^{2}). [8NS2] [MA2013] GEO (912) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments. [GGMD1] [MA2013] MI1 (912) 4: Explain the development and uses of sets of numbers, including complex, real, rational, irrational, integer, whole, and natural numbers. (Alabama) [MA2013] AM1 (912) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)
Subject: Mathematics Title: Approximations of Pi
Description: This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Patterns and Function
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In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two and threedimensional shapes.
Standard(s): [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (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] [MA2013] (6) 22: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving realworld and mathematical problems. [6G2] [MA2013] (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] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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) 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: Circle Packing
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In this unit of three Illuminations lessons, students explore circles. In the first lesson students apply the concepts of area and circumference to explore arrangements for soda cans that lead to a more efficient package. In the second lesson they then experiment with threedimensional arrangements to discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more advanced mathematical concept of curvature. There are also links to online interactives that are used in the lessons.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3] [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]
Subject: Mathematics Title: Circle Packing
Description: In this unit of three Illuminations lessons, students explore circles. In the first lesson students apply the concepts of area and circumference to explore arrangements for soda cans that lead to a more efficient package. In the second lesson they then experiment with threedimensional arrangements to discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more advanced mathematical concept of curvature. There are also links to online interactives that are used in the lessons. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Soda Rack
Description:
In this lesson, one of a threepart unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources.
Standard(s): [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) 13: Describe the twodimensional figures that result from slicing threedimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. [7G3] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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] 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) 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]
Subject: Mathematics Title: Soda Rack
Description: In this lesson, one of a threepart unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Soda Cans
Description:
In this lesson, one of a threepart unit from Illuminations, students investigate various designs for packaging soda cans and use geometry to analyze their designs. Students work to create more efficient arrangements that require less packaging material than the traditional rectangular arrays. In addition, there are links to online activity sheets and other related resources.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9] [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]
Subject: Mathematics Title: Soda Cans
Description: In this lesson, one of a threepart unit from Illuminations, students investigate various designs for packaging soda cans and use geometry to analyze their designs. Students work to create more efficient arrangements that require less packaging material than the traditional rectangular arrays. In addition, there are links to online activity sheets and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Pi  The Mathematical Dessert
Overview:
Watch this podcast and discover the mathematical number pi! Discussion includes the history of pi, mathematical concept of pi, and modern notation of the ∏ symbol used today. Interesting trivia, jokes, pi reciting contests, and pi day celebrations are included. This podcast is a must to add to your mathematics classroom and especially any pi day celebration. Standard(s):
[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] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3]
Pi  The Mathematical Dessert Overview: Watch this podcast and discover the mathematical number pi! Discussion includes the history of pi, mathematical concept of pi, and modern notation of the ∏ symbol used today. Interesting trivia, jokes, pi reciting contests, and pi day celebrations are included. This podcast is a must to add to your mathematics classroom and especially any pi day celebration.
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Title: What Is Pi?
Description:
Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why?
Standard(s): [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: CrossDisciplinary  History , CrossDisciplinary  Informal Education , Language Arts  Vocabulary , Social Studies  Civics , Social Studies  Comparative Political Systems , Social Studies  Technology and Civilization , Social Studies  United States Constitution , Social Studies  United States Government , Social Studies  United States History , Informal Education  Academic Enrichment Title: What Is Pi?
Description: Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why? Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Area of a Circle
Description:
This is a video showing the development and applications of the formula for finding the area of a circle.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Area of a Circle
http://www.artofprob...
This is a video showing the development and applications of the formula for finding the area of a circle.
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Title: Alcumus Online Learning System
Description:
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Standard(s): [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3] [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) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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]
Alcumus Online Learning System
http://www.artofprob...
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Interactives/Games
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Title: Alcumus Online Learning System
Description:
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Standard(s): [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3] [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) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4] [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]
Alcumus Online Learning System
http://www.artofprob...
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Thinkfinity Learning Activities
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Title: What Is Pi?
Description:
Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why?
Standard(s): [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3] [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: CrossDisciplinary  History , CrossDisciplinary  Informal Education , Language Arts  Vocabulary , Social Studies  Civics , Social Studies  Comparative Political Systems , Social Studies  Technology and Civilization , Social Studies  United States Constitution , Social Studies  United States Government , Social Studies  United States History , Informal Education  Academic Enrichment Title: What Is Pi?
Description: Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why? Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Circle Tool
Description:
This interactive from Illuminations allows students to compare the relationships between radius, diameter, circumference, and area by manipulating a circle and increasing or decreasing its size.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Circle Tool
Description: This interactive from Illuminations allows students to compare the relationships between radius, diameter, circumference, and area by manipulating a circle and increasing or decreasing its size. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

