**Title:** What's the Question Again?

**Description:**
This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels.
This is a College- and Career-Ready Standards showcase lesson plan.
**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)

**Title:**What's the Question Again?

**Description:**This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels. This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators

**Description:**
This hands-on, minds-on activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among different-sized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.
**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 (5)

**Title:**Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators

**Description:**This hands-on, minds-on activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among different-sized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.

**Title:** Exploring Prime Numbers

**Description:**
Exploring Prime Numbers is a hands-on, minds-on math lesson that engages students in the discovery of prime numbers through the construction of multiplication arrays. Students then extend on their background knowledge of multiples and their new understanding of prime and composite numbers to complete an Eratosthenes’ Sieve.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
**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 (4 - 5)

**Title:**Exploring Prime Numbers

**Description:**Exploring Prime Numbers is a hands-on, minds-on math lesson that engages students in the discovery of prime numbers through the construction of multiplication arrays. Students then extend on their background knowledge of multiples and their new understanding of prime and composite numbers to complete an Eratosthenes’ Sieve. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.

**Title:** Aquarium Project

**Description:**
The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (6) 6: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]

**Subject:**Mathematics (5 - 6), or Technology Education (6 - 8)

**Title:**Aquarium Project

**Description:**The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Math: Navigating the World Around Me

**Description:**
Students often ask, "When will I ever use math?" In this lesson, students discover and explore mathematical procedures as they navigate the world around them. Careful reading of information and understanding of mathematical language are important to finding appropriate solutions. In groups, students will create their own realistic math story problems and demonstrate how to find the answer. Each group will present their findings by creating multimedia presentation.
**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 (5), or Technology Education (3 - 5)

**Title:**Math: Navigating the World Around Me

**Description:**Students often ask, "When will I ever use math?" In this lesson, students discover and explore mathematical procedures as they navigate the world around them. Careful reading of information and understanding of mathematical language are important to finding appropriate solutions. In groups, students will create their own realistic math story problems and demonstrate how to find the answer. Each group will present their findings by creating multimedia presentation.

**Title:** Adding and Subtracting Mixed Numbers

**Description:**
During this technology based lesson, students learn how to add and subtract mixed numbers by exploring websites on the Internet. Students demonstrate their knowledge of fractions by participating in practice activities on the Internet.
**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 (4 - 5), or Technology Education (3 - 5)

**Title:**Adding and Subtracting Mixed Numbers

**Description:**During this technology based lesson, students learn how to add and subtract mixed numbers by exploring websites on the Internet. Students demonstrate their knowledge of fractions by participating in practice activities on the Internet.

**Title:** Happy Trails

**Description:**
Math can be experienced everywhere and every day. During this lesson, students become active learners while discovering and sharing the mathematics existing in their everyday environment. Students explore the school and create mathematical problems using different concepts relating to what they find.
**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 (3 - 5), or Technology Education (3 - 5)

**Title:**Happy Trails

**Description:**Math can be experienced everywhere and every day. During this lesson, students become active learners while discovering and sharing the mathematics existing in their everyday environment. Students explore the school and create mathematical problems using different concepts relating to what they find.

**Title:** Introduction to Spreadsheets

**Description:**
Students will utilize Excel or other spreadsheet software to create both text and numerical valued columns to produce a Christmas or birthday wish list.
**Standard(s): **

[MA2015] (5) 17: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general by reasoning about the relationship between multiplication and division. However, division of a fraction by a fraction is not a requirement at this grade.)
[5-NF7]

**Subject:**Mathematics (5), or Technology Education (6 - 8)

**Title:**Introduction to Spreadsheets

**Description:**Students will utilize Excel or other spreadsheet software to create both text and numerical valued columns to produce a Christmas or birthday wish list.

**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:** 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:** Inch by Inch

**Description:**
In this lesson, one of a multi-part 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. [5-MD2]

**Subject:**Mathematics

**Title:**Inch by Inch

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

**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:** 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