**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. [3-NF3]

**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.

**Title:** Numerator/Denominator Introduction

**Description:**
This is an introductory lesson on numerators and denominators. Students will have the opportunity to practice dividing using hands-on activities.
**Standard(s): **

[MA2015] (4) 14: Understand a fraction ^{a}/_{b} with *a* > 1 as a sum of fractions ^{1}/_{b}. [4-NF3]

**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 hands-on activities.

**Title:** Cookie Monster Fraction Math

**Description:**
Using cookies, students will learn parts of a whole. This is a hands-on, technology based lesson. Students will not only learn fractional parts of a whole, but will be able to eat the cookie when lesson is complete.
**Standard(s): **

[MA2015] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into *b* equal parts; understand a fraction ^{a}/_{b} as the quantity formed by *a* parts and size ^{1}/_{b}. [3-NF1]

**Subject:**Mathematics (3), or Technology Education (3 - 5)

**Title:**Cookie Monster Fraction Math

**Description:**Using cookies, students will learn parts of a whole. This is a hands-on, technology based lesson. Students will not only learn fractional parts of a whole, but will be able to eat the cookie when lesson is complete.

**Title:** Probability Paper Bags

**Description:**
The students will use paper bags with color tiles to calculate probability of colors. This is a fun activity to use with the students. The objectives of probability are taught in a non-threatening way.
**Standard(s): **

[MA2015] (5) 16: Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5-NF6]

**Subject:**Mathematics (3 - 5), or Technology Education (3 - 5)

**Title:**Probability Paper Bags

**Description:**The students will use paper bags with color tiles to calculate probability of colors. This is a fun activity to use with the students. The objectives of probability are taught in a non-threatening way.

**Title:** Delicious Fractions

**Description:**
This lesson will be implemented during a study of fractions. Manipulatives and the Internet will be used to explore fractions.
**Standard(s): **

[MA2015] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into *b* equal parts; understand a fraction ^{a}/_{b} as the quantity formed by *a* parts and size ^{1}/_{b}. [3-NF1]

**Subject:**Mathematics (3), or Technology Education (3 - 5)

**Title:**Delicious Fractions

**Description:**This lesson will be implemented during a study of fractions. Manipulatives and the Internet will be used to explore fractions.

**Title:** Eggsactly with Eighteen Eggs

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problem-solving 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. [4-NF1]

**Subject:**Mathematics

**Title:**Eggsactly with Eighteen Eggs

**Description:**In this lesson, one of a multi-part unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problem-solving 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

**Title:** Fun with Fractions

**Description:**
In this seven-lesson 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. [5-NF1]

**Subject:**Mathematics

**Title:**Fun with Fractions

**Description:**In this seven-lesson 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

**Title:** Investigating Equivalent Fractions with Relationship Rods

**Description:**
In this lesson, one of a multi-part 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. [5-NF2]

**Subject:**Mathematics

**Title:**Investigating Equivalent Fractions with Relationship Rods

**Description:**In this lesson, one of a multi-part 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

**Title:** More Fun with Fraction Strips

**Description:**
In this lesson, one of a multi-part 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. [4-NF2]

**Subject:**Mathematics

**Title:**More Fun with Fraction Strips

**Description:**In this lesson, one of a multi-part 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

**Title:** Parts of a Square

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students investigate the ways shapes can be divided into equal pieces with one or two cuts. The lesson provides a review of the vocabulary terms square, triangle, rectangle, congruent, one-half, and one-fourth. Several pieces of literature appropriate for use with this lesson are suggested.
**Standard(s): **

[MA2015] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into *b* equal parts; understand a fraction ^{a}/_{b} as the quantity formed by *a* parts and size ^{1}/_{b}. [3-NF1]

**Subject:**Arts,Language Arts,Mathematics

**Title:**Parts of a Square

**Description:**In this lesson, one of a multi-part unit from Illuminations, students investigate the ways shapes can be divided into equal pieces with one or two cuts. The lesson provides a review of the vocabulary terms square, triangle, rectangle, congruent, one-half, and one-fourth. Several pieces of literature appropriate for use with this lesson are suggested.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Making and Investigating Fraction Strips

**Description:**
In this lesson, one of a multi-part 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. [3-NF3]

**Subject:**Mathematics

**Title:**Making and Investigating Fraction Strips

**Description:**In this lesson, one of a multi-part 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

**Title:** A Brownie Bake

**Description:**
This lesson, one of a multi-part unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problem-solving 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. [5-NF2]

**Subject:**Mathematics

**Title:**A Brownie Bake

**Description:**This lesson, one of a multi-part unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problem-solving 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

**Title:** Pattern Block Fractions

**Description:**
In this lesson, one of a multi-part 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. [4-NF1]

**Subject:**Mathematics

**Title:**Pattern Block Fractions

**Description:**In this lesson, one of a multi-part 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

**Title:** Virtual Pattern Blocks

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. They investigate relationships between parts and wholes using virtual fractions. Students use conversation to explain their understandings in order to extend and clarify their mathematical content knowledge.
**Standard(s): **

[MA2015] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into *b* equal parts; understand a fraction ^{a}/_{b} as the quantity formed by *a* parts and size ^{1}/_{b}. [3-NF1]

**Subject:**Mathematics

**Title:**Virtual Pattern Blocks

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. They investigate relationships between parts and wholes using virtual fractions. Students use conversation to explain their understandings in order to extend and clarify their mathematical content knowledge.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** Planning a Mini-quilt

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show one-half and one-fourth. Several pieces of literature appropriate for use with this lesson are suggested.
**Standard(s): **

[MA2015] (4) 28: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. [4-G3]

**Subject:**Arts,Mathematics

**Title:**Planning a Mini-quilt

**Description:**In this lesson, one of a multi-part unit from Illuminations, students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show one-half and one-fourth. Several pieces of literature appropriate for use with this lesson are suggested.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**Title:** Investigating with Pattern Blocks

**Description:**
This lesson, one of a multi-part unit from Illuminations, promotes problem-solving 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. [3-G2]

**Subject:**Mathematics

**Title:**Investigating with Pattern Blocks

**Description:**This lesson, one of a multi-part unit from Illuminations, promotes problem-solving 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

**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 two-dimensional figures in a hierarchy based on properties. [5-G4]

**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

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**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 (9-12) 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

**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. [7-NS2]

**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

**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. [5-MD2]

**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