**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:** 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:** 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:** Communicating about Mathematics Using Games

**Description:**
The mathematical game in this four-lesson 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. [4-NF2]

**Subject:**Mathematics,Professional Development

**Title:**Communicating about Mathematics Using Games

**Description:**The mathematical game in this four-lesson 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

**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:** Expanding Our Pattern Block Fraction Repertoire

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

**Subject:**Mathematics

**Title:**Expanding Our Pattern Block Fraction Repertoire

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

**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:** 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:** 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. [5-NBT3]

**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

**Title:** Can IXL at Math?

**Digital Tool:**
IXL- Grade 4 Fractions Q **Web Address URL:**
http://www.ixl.com/math/grade-4 **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]**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.

**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:** 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