ALEX Lesson Plans
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Title: Numerator/Denominator Introduction
Description:
This is an introductory lesson on numerators and denominators. Students will have the opportunity to practice dividing using handson activities.
Standard(s): [MA2015] (4) 14: Understand a fraction ^{a}/_{b} with a > 1 as a sum of fractions ^{1}/_{b}. [4NF3]
Subject: Mathematics (3  4), or Technology Education (3  5)
Title: Numerator/Denominator Introduction
Description: This is an introductory lesson on numerators and denominators. Students will have the opportunity to practice dividing using handson activities.
Thinkfinity Lesson Plans
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Title: Geometric Solids and Their Properties
Description:
In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Geometric Solids and Their Properties
Description: In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Investigating with Pattern Blocks
Description:
This lesson, one of a multipart unit from Illuminations, promotes problemsolving and reasoning with fractions as students investigate the relationships between various parts and wholes. It also focuses on representation as students are given multiple opportunities to investigate the relative value of fractions. Students use communication skills as they work in pairs to articulate and clarify their understanding of fraction relationships.
Standard(s): [MA2015] (3) 25: Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. [3G2]
Subject: Mathematics Title: Investigating with Pattern Blocks
Description: This lesson, one of a multipart unit from Illuminations, promotes problemsolving and reasoning with fractions as students investigate the relationships between various parts and wholes. It also focuses on representation as students are given multiple opportunities to investigate the relative value of fractions. Students use communication skills as they work in pairs to articulate and clarify their understanding of fraction relationships. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Shapes at Work
Description:
The purpose of this lesson, from Science NetLinks, is to look for shapes in both the natural and designed world; to investigate the ways in which shapes can be used; to design and build structures using appropriate shapes. In this lesson, students record shapes that they find around them, identifying those that can be used to solve practical problems and build larger structures. Students will explore the uses of various shapes and record their findings in a science journal. It would also be helpful to display class findings on a bulletin board entitled Shapes We Have Used (or Made).
Standard(s): [MA2015] (3) 25: Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. [3G2]
Subject: Mathematics Title: Shapes at Work
Description: The purpose of this lesson, from Science NetLinks, is to look for shapes in both the natural and designed world; to investigate the ways in which shapes can be used; to design and build structures using appropriate shapes. In this lesson, students record shapes that they find around them, identifying those that can be used to solve practical problems and build larger structures. Students will explore the uses of various shapes and record their findings in a science journal. It would also be helpful to display class findings on a bulletin board entitled Shapes We Have Used (or Made). Thinkfinity Partner: Science NetLinks Grade Span: 3,4,5
Thinkfinity Informational Materials
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Title: Number and Operations Web Links
Description:
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Number and Operations Web Links
Description: This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
Thinkfinity Interactive Games
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Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description:
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description: Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. 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: 3,4,5
Thinkfinity Learning Activities
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Title: Concentration
Description:
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
Standard(s): [MA2015] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4MD5]
Subject: Mathematics Title: Concentration
Description: This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5
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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: IGD: Area of a Parallelogram
Description:
This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram.
Standard(s): [MA2015] GEO (912) 11: Prove theorems about parallelograms. Theorems include opposite sides are congruent, opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals. [GCO11]
Subject: Mathematics Title: IGD: Area of a Parallelogram
Description: This student interactive, from Illuminations, helps students understand and investigate how to find the area of the parallelogram if they already know how to find the area of a rectangle. Students divide the parallelogram into pieces, arrange them together to form a rectangle, and then use the formula for the area of a rectangle to find the area of the parallelogram. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: IGD: Area of a Rectangle
Description:
This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height.
Standard(s): [MA2015] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1]
Subject: Mathematics Title: IGD: Area of a Rectangle
Description: This student interactive, from Illuminations, allows students to see interactively how to find the area of a rectangle by manipulating the length of two opposite sides of a rectangle. They discover that as the measurement of the base changes, the area of the rectangle remains base times height. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

