**Title:** Become a "ruler" of the ruler!

**Description:**
In order to practice basic sewing skills, students must be able to read and use a ruler for a variety of tasks. In this hands-on lesson, students will work collaboratively to demonstrate their mastery of how to read "English" units of measurements (inches). Students will learn how to read both 1/8" and 1/16" measurements through the use of yardsticks, rulers, and flexible measuring tape. This lesson can be used as part of a unit or as a remediation for students who will be using a ruler on assignments and projects.
**Standard(s): **

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

**Subject:**Human Services (7), or Mathematics (4)

**Title:**Become a "ruler" of the ruler!

**Description:**In order to practice basic sewing skills, students must be able to read and use a ruler for a variety of tasks. In this hands-on lesson, students will work collaboratively to demonstrate their mastery of how to read "English" units of measurements (inches). Students will learn how to read both 1/8" and 1/16" measurements through the use of yardsticks, rulers, and flexible measuring tape. This lesson can be used as part of a unit or as a remediation for students who will be using a ruler on assignments and projects.

**Title:** The Class Quilt

**Description:**
Students will design a 12 inch quilt square consisting of geometrical shapes.They must use their knowledge of fractions and polygons in order to create an exact 12" by 12" square.Students will use knowledge of area of a figure in order to create a quilt using their squares.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

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

**Subject:**Mathematics (3 - 5)

**Title:**The Class Quilt

**Description:**Students will design a 12 inch quilt square consisting of geometrical shapes.They must use their knowledge of fractions and polygons in order to create an exact 12" by 12" square.Students will use knowledge of area of a figure in order to create a quilt using their squares.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Quest for The Rajah's Rice

**Description:**
After reading The Rajah's Rice, a mathematical folktale by Dave Barry, students will complete a WebQuest. The WebQuest includes a compare/contrast activity, a recipe activity, and opportunities for more extensions related to the story.
**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:**Quest for The Rajah's Rice

**Description:**After reading The Rajah's Rice, a mathematical folktale by Dave Barry, students will complete a WebQuest. The WebQuest includes a compare/contrast activity, a recipe activity, and opportunities for more extensions related to the story.

**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:** 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:** 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:** 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:** Flipping Fractions

**Digital Tool:**
Mixed Number to Improper Fraction Video **Web Address URL:**
https://www.youtube.com/watch?v=ggYdPef3Nuk **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]**Digital Tool Description:** This YouTube Video is a tool used to review changing mixed numbers to improper fractions when preparing to teach the students adding and subtracting fractions and mixed numbers.

**Title:**Flipping Fractions

**Digital Tool:**Mixed Number to Improper Fraction Video

**Digital Tool Description:**This YouTube Video is a tool used to review changing mixed numbers to improper fractions when preparing to teach the students adding and subtracting fractions and mixed numbers.

**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. [5-NF1]**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

**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