Thinkfinity Lesson Plans
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Title: Communicating about Mathematics Using Games
Description:
The mathematical game in this fourlesson unit from Illuminations fosters mathematical communication as students explain and justify their moves to one another. In addition, the game motivates students and engages them in thinking about and applying concepts and skills.
Standard(s): [MA2015] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics,Professional Development Title: Communicating about Mathematics Using Games
Description: The mathematical game in this fourlesson unit from Illuminations fosters mathematical communication as students explain and justify their moves to one another. In addition, the game motivates students and engages them in thinking about and applying concepts and skills. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Eggsactly with Eighteen Eggs
Description:
In this lesson, one of a multipart unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problemsolving and reasoning as they examine relationships among the fractions used to describe part of a set of eighteen.
Standard(s): [MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Eggsactly with Eighteen Eggs
Description: In this lesson, one of a multipart unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problemsolving and reasoning as they examine relationships among the fractions used to describe part of a set of eighteen. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Eggsactly Equivalent
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In this lesson, one of a multipart unit from Illuminations, students use twelve eggs to identify equivalent fractions. Construction paper cutouts are used as a physical model to represent various fractions of the set of eggs. Students investigate relationships among fractions that are equivalent.
Standard(s): [MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Eggsactly Equivalent
Description: In this lesson, one of a multipart unit from Illuminations, students use twelve eggs to identify equivalent fractions. Construction paper cutouts are used as a physical model to represent various fractions of the set of eggs. Students investigate relationships among fractions that are equivalent. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Fun with Fractions
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In this sevenlesson unit from Illuminations, students explore relationships among fractions through work with the set model. This early work with fraction relationships helps students make sense of basic fraction concepts and facilitates work with comparing and ordering fractions and working with equivalency.
Standard(s): [MA2015] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1]
Subject: Mathematics Title: Fun with Fractions
Description: In this sevenlesson unit from Illuminations, students explore relationships among fractions through work with the set model. This early work with fraction relationships helps students make sense of basic fraction concepts and facilitates work with comparing and ordering fractions and working with equivalency. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Expanding Our Pattern Block Fraction Repertoire
Description:
In this lesson, one of a multipart unit from Illuminations, students expand the number of fractions they can represent with pattern blocks by increasing the whole. Instead of representing the whole with one yellow hexagon, the students explore fractional relationships when two, three, and four yellow hexagons constitute the whole.
Standard(s): [MA2015] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics Title: Expanding Our Pattern Block Fraction Repertoire
Description: In this lesson, one of a multipart unit from Illuminations, students expand the number of fractions they can represent with pattern blocks by increasing the whole. Instead of representing the whole with one yellow hexagon, the students explore fractional relationships when two, three, and four yellow hexagons constitute the whole. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Investigating Equivalent Fractions with Relationship Rods
Description:
In this lesson, one of a multipart unit from Illuminations, students investigate the length model by working with relationship rods to find equivalent fractions. Students develop skills in reasoning and problem solving as they explain how two fractions are equivalent (the same length). Relationship rods are wooden or plastic rods in ten different colors, ranging in length from one to ten centimeters.
Standard(s): [MA2015] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2]
Subject: Mathematics Title: Investigating Equivalent Fractions with Relationship Rods
Description: In this lesson, one of a multipart unit from Illuminations, students investigate the length model by working with relationship rods to find equivalent fractions. Students develop skills in reasoning and problem solving as they explain how two fractions are equivalent (the same length). Relationship rods are wooden or plastic rods in ten different colors, ranging in length from one to ten centimeters. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: More Fun with Fraction Strips
Description:
In this lesson, one of a multipart unit from Illuminations, students work with fraction strips to compare and order fractions. Building on work done with fraction relationships in a previous lesson, students develop skills in problem solving and reasoning as they make connections between various fractions.
Standard(s): [MA2015] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics Title: More Fun with Fraction Strips
Description: In this lesson, one of a multipart unit from Illuminations, students work with fraction strips to compare and order fractions. Building on work done with fraction relationships in a previous lesson, students develop skills in problem solving and reasoning as they make connections between various fractions. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: A Brownie Bake
Description:
This lesson, one of a multipart unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problemsolving techniques being a central theme. Students prepare, after determining minimum amounts of ingredients required, a commercial brownie mix and serve equal portions to all class members.
Standard(s): [MA2015] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2]
Subject: Mathematics Title: A Brownie Bake
Description: This lesson, one of a multipart unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problemsolving techniques being a central theme. Students prepare, after determining minimum amounts of ingredients required, a commercial brownie mix and serve equal portions to all class members. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Inch by Inch
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In this lesson, one of a multipart unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2015] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Inch by Inch
Description: In this lesson, one of a multipart unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Pattern Block Fractions
Description:
In this lesson, one of a multipart unit from Illuminations, students focus on the identification of fractional parts of a region and record them in standard form. Students develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form.
Standard(s): [MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Pattern Block Fractions
Description: In this lesson, one of a multipart unit from Illuminations, students focus on the identification of fractional parts of a region and record them in standard form. Students develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: SMART Math
Digital Tool:
XL Learning Web Address URL:
http://www.ixl.com/math/grade4 Standard(s):
[MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] Digital Tool Description: XL is an interactive website for grades K12 and covers many subject areas. Teachers can access this website and view different tools, games, and ideas about how to use interactive games when teaching different subjects. Teachers can access the site to locate different fraction games according to how in depth the students have progressed.
Title: SMART Math Digital Tool: XL Learning Digital Tool Description: XL is an interactive website for grades K12 and covers many subject areas. Teachers can access this website and view different tools, games, and ideas about how to use interactive games when teaching different subjects. Teachers can access the site to locate different fraction games according to how in depth the students have progressed.
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Title: Fraction animation.
Digital Tool:
Stop Animation by Stop Motion Studio Web Address URL:
http://itunes.apple.com/us/app/stopmotionstudio Standard(s):
[MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] Digital Tool Description: This digital tool will allow teachers to check for understanding by having students create their own educational videos based on the lesson content just received. The students can use the app to make a short video reteaching the introductory lesson on creating equivalent fractions in their own creative way using a stop animation program. With this they can get creative, think outside the box, and discover new methods to explain the concepts.
Title: Fraction animation. Digital Tool: Stop Animation by Stop Motion Studio Digital Tool Description: This digital tool will allow teachers to check for understanding by having students create their own educational videos based on the lesson content just received. The students can use the app to make a short video reteaching the introductory lesson on creating equivalent fractions in their own creative way using a stop animation program. With this they can get creative, think outside the box, and discover new methods to explain the concepts.
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Title: Can IXL at Math?
Digital Tool:
IXL Grade 4 Fractions Q Web Address URL:
http://www.ixl.com/math/grade4 Standard(s):
[MA2015] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2] Digital Tool Description: This is a paid membership site, linked to CCRS where students can practice problem solving and computation as parents and teachers monitor students progress using multiple levels of reports.
Title: Can IXL at Math? Digital Tool: IXL Grade 4 Fractions Q Digital Tool Description: This is a paid membership site, linked to CCRS where students can practice problem solving and computation as parents and teachers monitor students progress using multiple levels of reports.
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Title: Interactive Fraction Comparisons
Digital Tool:
Illuminations:Fraction Game Web Address URL:
http://illuminations.nctm.org/ActivityDetail.aspx?ID=18 Standard(s):
[MA2015] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] Digital Tool Description: This interactive game allows students to practice finding equivalent fractions, and adding fractions
Title: Interactive Fraction Comparisons Digital Tool: Illuminations:Fraction Game Digital Tool Description: This interactive game allows students to practice finding equivalent fractions, and adding fractions
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Title: Can Fractions be Equal?
Digital Tool:
Simplifying Fractions Web Address URL:
http://illuminations.nctm.org/ActivityDetail.aspx?id=80 Standard(s):
[MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] Digital Tool Description: This tool allows the participant to visually create two equivalent fractions based on the fraction provided. This can be used as an introduction since it allows you to determine your own fraction and construct models. You can also use it as a closing activity to check students understanding by asking them to construct a visual model.
Title: Can Fractions be Equal? Digital Tool: Simplifying Fractions Digital Tool Description: This tool allows the participant to visually create two equivalent fractions based on the fraction provided. This can be used as an introduction since it allows you to determine your own fraction and construct models. You can also use it as a closing activity to check students understanding by asking them to construct a visual model.
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: Calculation Nation
Description:
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
Standard(s): [MA2015] DM1 (912) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)
Subject: Mathematics Title: Calculation Nation
Description: Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9
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Title: Fraction Models
Description:
This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.
Standard(s): [MA2015] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2]
Subject: Mathematics Title: Fraction Models
Description: This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Fraction Game
Description:
This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines.
Standard(s): [MA2015] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Fraction Game
Description: This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Equivalent Fractions
Description:
This student interactive, from Illuminations, allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions.
Standard(s): [MA2015] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Equivalent Fractions
Description: This student interactive, from Illuminations, allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions. Thinkfinity Partner: Illuminations Grade Span: 3,4,5

