ALEX Lesson Plans
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Title: Popcorn  Bucket or Box?
Description:
In this exploration, students will apply their knowledge of finding volume and surface area of cylinders and rectangular prisms. Students will make recommendations to the local movie theater after determining which package is cost effective. Students will support their decision through a presentation.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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  8)
Title: Popcorn  Bucket or Box?
Description: In this exploration, students will apply their knowledge of finding volume and surface area of cylinders and rectangular prisms. Students will make recommendations to the local movie theater after determining which package is cost effective. Students will support their decision through a presentation.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Pump Up the Volume
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In this lesson, students will be required to generate a formula for volume of a rectangular prism. Students working in cooperative groups will use prior knowledge for finding area of a rectangle to determine the "amount of area in a rectangular prism" they have created with a stack of cards.
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: Pump Up the Volume
Description: In this lesson, students will be required to generate a formula for volume of a rectangular prism. Students working in cooperative groups will use prior knowledge for finding area of a rectangle to determine the "amount of area in a rectangular prism" they have created with a stack of cards.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Thinkfinity Lesson Plans
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Title: Are They Possible?
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In this lesson, one of a multipart unit from Illuminations, students examine some isometric drawings that seem to be impossible. They investigate one method that Dutch artist M.C. Escher used to create such impossible figures.
Standard(s): [MA2015] (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 Title: Are They Possible?
Description: In this lesson, one of a multipart unit from Illuminations, students examine some isometric drawings that seem to be impossible. They investigate one method that Dutch artist M.C. Escher used to create such impossible figures. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Are They Possible? Overhead
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This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures.
Standard(s): [MA2015] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Subject: Mathematics Title: Are They Possible? Overhead
Description: This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Building Using the FrontRightTop View
Description:
In this lesson, one of a multipart unit from Illuminations, students explore drawing the frontrighttop view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the frontrighttop view.
Standard(s): [MA2015] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4]
Subject: Mathematics Title: Building Using the FrontRightTop View
Description: In this lesson, one of a multipart unit from Illuminations, students explore drawing the frontrighttop view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the frontrighttop view. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Do They Match? Overhead
Description:
This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of threedimensional figures. Students determine whether the drawings in each pair represent the same shape as one another.
Standard(s): [MA2015] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3]
Subject: Mathematics Title: Do They Match? Overhead
Description: This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of threedimensional figures. Students determine whether the drawings in each pair represent the same shape as one another. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Do They Match?
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In this lesson, one of a multipart unit from Illuminations, students use three dimensional figures they have constructed to determine when two isometric drawings can represent the same shape. They also determine what possible shapes might have the same isometric drawing and explain their reasoning.
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: Do They Match?
Description: In this lesson, one of a multipart unit from Illuminations, students use three dimensional figures they have constructed to determine when two isometric drawings can represent the same shape. They also determine what possible shapes might have the same isometric drawing and explain their reasoning. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Finding Surface Area and Volume
Description:
In this lesson, one of a multipart unit from Illuminations, students use an isometric drawing tool to build threedimensional figures. They then find the surface area and volume of each figure.
Standard(s): [MA2015] 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]
Subject: Mathematics Title: Finding Surface Area and Volume
Description: In this lesson, one of a multipart unit from Illuminations, students use an isometric drawing tool to build threedimensional figures. They then find the surface area and volume of each figure. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Using Cubes and Isometric Drawings
Description:
In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context.
Standard(s): [MA2015] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4]
Subject: Mathematics Title: Using Cubes and Isometric Drawings
Description: In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Purple Prisms
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In this lesson, one of a multipart unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two threedimensional rectangular prisms to learn about edge lengths and surface area relationships.
Standard(s): [MA2015] (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]
Subject: Mathematics Title: Purple Prisms
Description: In this lesson, one of a multipart unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two threedimensional rectangular prisms to learn about edge lengths and surface area relationships. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Mathematics and Children's Literature
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In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
Standard(s): [ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 68 text complexity band independently and proficiently. [RL.8.10]
Subject: Language Arts,Mathematics Title: Mathematics and Children's Literature
Description: In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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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): [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
ALEX Podcasts
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Title: Friendly Fractions part 3
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting unlike fractions (unlike denominators). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. Standard(s):
[MA2015] (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]
Friendly Fractions part 3 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting unlike fractions (unlike denominators). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
Thinkfinity Learning Activities
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Title: Isometric Drawing Tool
Description:
Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2D and 3D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.
Standard(s): [MA2015] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4]
Subject: Mathematics Title: Isometric Drawing Tool
Description: Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2D and 3D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
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Title: Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids
Description:
This is part two of a twopart eexample from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two threedimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). 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 Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids
Description: This is part two of a twopart eexample from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two threedimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). 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

