ALEX Lesson Plans
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Title: A Slice of the Pie
Description:
Students will gain knowledge on how to recognize and generate simple equivalent fractions. They will learn the criss cross method of checking to see if their process of elimination is accurate in naming an equivalent fraction. Students will then model equivalent fractions.
Standard(s): [MA2015] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
Subject: Mathematics (3)
Title: A Slice of the Pie
Description: Students will gain knowledge on how to recognize and generate simple equivalent fractions. They will learn the criss cross method of checking to see if their process of elimination is accurate in naming an equivalent fraction. Students will then model equivalent fractions.
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Title: Fraction Find!
Description:
Students will explore fractions through an interactive website. They will apply this knowledge while finding shapes with equivalent fractions.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2015] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
Subject: Mathematics (1  3), or Technology Education (K  2)
Title: Fraction Find!
Description: Students will explore fractions through an interactive website. They will apply this knowledge while finding shapes with equivalent fractions.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Fractions on a Number Line
Description:
As students master the concept of the number line, they may be curious about where fractions would fit on a standard number line. Students will work cooperatively to explore the possibilities where fractions lie on number lines. Students will also work independently to extend and enrich their new knowledge of fractions on number lines.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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 (3  4)
Title: Fractions on a Number Line
Description: As students master the concept of the number line, they may be curious about where fractions would fit on a standard number line. Students will work cooperatively to explore the possibilities where fractions lie on number lines. Students will also work independently to extend and enrich their new knowledge of fractions on number lines.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Tangram Fractions
Description:
The teacher will engage the class by reading Grandfather Tang. Students will solve a tangram puzzle. Students will find the fractional value for each piece of the tangram. Students will create a picture using the pieces of the tangram. Students will find the fractional value of their partner's tangram picture. 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): [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 (3  5)
Title: Tangram Fractions
Description: The teacher will engage the class by reading Grandfather Tang. Students will solve a tangram puzzle. Students will find the fractional value for each piece of the tangram. Students will create a picture using the pieces of the tangram. Students will find the fractional value of their partner's tangram picture. 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: 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.
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Title: Equivalent Fractions
Description:
This lesson helps students discover how to obtain equal fractions by using both fraction strips and playing a fraction matching game. Students will learn that to obtain equal fractions they will need to multiply the numerator and denominator by the same number.
Standard(s): [MA2015] (4) 15: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. [4NF4]
Subject: Mathematics (3  4), or Technology Education (3  5)
Title: Equivalent Fractions
Description: This lesson helps students discover how to obtain equal fractions by using both fraction strips and playing a fraction matching game. Students will learn that to obtain equal fractions they will need to multiply the numerator and denominator by the same number.
Thinkfinity Lesson Plans
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Title: Exploring the Value of the Whole
Description:
In this lesson, one of a multipart unit from Illuminations, students consider the size or value of the same fraction when different wholes are compared. This lesson promotes problemsolving and reasoning as the students compare similar fractions with different wholes. Students develop communication skills as they work in pairs and share their understanding about the relationship between the value of a fraction and the whole.
Standard(s): [MA2015] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
Subject: Mathematics Title: Exploring the Value of the Whole
Description: In this lesson, one of a multipart unit from Illuminations, students consider the size or value of the same fraction when different wholes are compared. This lesson promotes problemsolving and reasoning as the students compare similar fractions with different wholes. Students develop communication skills as they work in pairs and share their understanding about the relationship between the value of a fraction and the whole. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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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.
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
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.
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: Making and Investigating Fraction Strips
Description:
In this lesson, one of a multipart unit from Illuminations, students make and use a set of fraction strips to represent the length model, discover fraction relationships, and work with equivalent fractions. They then create a virtual set of fraction strips using an online interactive activity.
Standard(s): [MA2015] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
Subject: Mathematics Title: Making and Investigating Fraction Strips
Description: In this lesson, one of a multipart unit from Illuminations, students make and use a set of fraction strips to represent the length model, discover fraction relationships, and work with equivalent fractions. They then create a virtual set of fraction strips using an online interactive activity. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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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.
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: The Variable Machine
Description:
This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values.
Standard(s): [MA2015] (5) 6: Read, write, and compare decimals to thousandths. [5NBT3]
Subject: Mathematics Title: The Variable Machine
Description: This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
ALEX Learning Assets Save to ALEX 
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Title: Fraction That!
Digital Tool:
ABCya.com Web Address URL:
http://www.abcya.com/equivalent_fractions_bingo.htm Standard(s):
[MA2015] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3] Digital Tool Description: ABCya.com is a free educational site equipped with computer games and activities for elementary students to learn on the web. All computer activities were created or approved by certified school teachers. All educational games are free and are modeled from primary grade lessons and enhanced to provide an interactive way for children to learn.
Title: Fraction That! Digital Tool: ABCya.com Digital Tool Description: ABCya.com is a free educational site equipped with computer games and activities for elementary students to learn on the web. All computer activities were created or approved by certified school teachers. All educational games are free and are modeled from primary grade lessons and enhanced to provide an interactive way for children to learn.
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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
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: 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

