**Title:** Factorials: Let's have a Dinner Party!

**Description:**
In collaborate groups of four, students will act out a dinner party where four dinner guests will attend. The students must act out the different ways to arrange four dinner guests.
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[MA2015] (6) 17: Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6-EE6]

**Subject:**Mathematics (6)

**Title:**Factorials: Let's have a Dinner Party!

**Description:**In collaborate groups of four, students will act out a dinner party where four dinner guests will attend. The students must act out the different ways to arrange four dinner guests. This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** Is My Vari"able" to Stand?

**Description:**
This cross-curricular lesson is designed to require students to apply algebra to a real world, natural disaster situation. Students will be asked to design a treehouse including a ladder. Students will set up an algebraic equation and solve for the variable. Will their treehouse be able to withstand a "jelloquake"? Students will test the strength of their treehouse and ladder in science class.
This is a College- and Career-Ready Standards showcase lesson plan.
**Standard(s): **

[S1] (6) 2: Describe factors that cause changes to Earth's surface over time.

**Subject:**Mathematics (6), or Credit Recovery Science (6), or Science (4)

**Title:**Is My Vari"able" to Stand?

**Description:**This cross-curricular lesson is designed to require students to apply algebra to a real world, natural disaster situation. Students will be asked to design a treehouse including a ladder. Students will set up an algebraic equation and solve for the variable. Will their treehouse be able to withstand a "jelloquake"? Students will test the strength of their treehouse and ladder in science class. This is a College- and Career-Ready Standards showcase lesson plan.

**Title:** What did you say? Translating from verbal to algebraic.

**Description:**
Students will learn about translating between verbal and algebraic expressions via game play and possibly working on an interactive web site. The four steps to explicit instruction (I do, we do, y'all do, and you do) are labeled in the procedures section.
**Standard(s): **

[MA2015] (6) 17: Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6-EE6]

**Subject:**Mathematics (6)

**Title:**What did you say? Translating from verbal to algebraic.

**Description:**Students will learn about translating between verbal and algebraic expressions via game play and possibly working on an interactive web site. The four steps to explicit instruction (I do, we do, y'all do, and you do) are labeled in the procedures section.

**Title:** The Pattern of Graphing Linear Equations

**Description:**
The students will extend the knowledge of algebraic expressions from geometric representations and ultimately graph linear equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations. Students may also acquire a deeper understanding of independent and dependent variables.
**Standard(s): **

[MA2015] (6) 20: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. [6-EE9]

**Subject:**Mathematics (6)

**Title:**The Pattern of Graphing Linear Equations

**Description:**The students will extend the knowledge of algebraic expressions from geometric representations and ultimately graph linear equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations. Students may also acquire a deeper understanding of independent and dependent variables.

**Title:** The Pattern of Graphing Quadratic Equations

**Description:**
The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.
**Standard(s): **

[MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2]

**Subject:**Mathematics (6)

**Title:**The Pattern of Graphing Quadratic Equations

**Description:**The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.

**Title:** Express Yourself with Patterns

**Description:**
During this lesson, the students will use growing patterns to develop an algebraic expression with understanding. The students will also learn mathematical vocabulary with the use of the newly created expression.
**Standard(s): **

[MA2015] (6) 15: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). [6-EE4]

**Subject:**Mathematics (6)

**Title:**Express Yourself with Patterns

**Description:**During this lesson, the students will use growing patterns to develop an algebraic expression with understanding. The students will also learn mathematical vocabulary with the use of the newly created expression.

**Title:** My Favorite Number

**Description:**
The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character of the number, and write a word problem. The purpose of this activity is to be a review of the number theory topics taught during middle school.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (6) 17: Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6-EE6]

**Subject:**Mathematics (4 - 6)

**Title:**My Favorite Number

**Description:**The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character of the number, and write a word problem. The purpose of this activity is to be a review of the number theory topics taught during middle school.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Discovering Pi

**Description:**
This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7-G4]

**Subject:**Mathematics (6 - 7)

**Title:**Discovering Pi

**Description:**This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** "Introducing Pi!"

**Description:**
The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, hands-on, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.
**Standard(s): **

**Subject:**Mathematics (6 - 7)

**Title:**"Introducing Pi!"

**Description:**The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, hands-on, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.

**Title:** Express Yourself

**Description:**
This lesson presents students with the abstract idea that letters represent unknown numbers or variables. Vocabulary pertinent to writing English phrases as algebraic expressions and sentences as equations and vice versa is introduced. A mathematics and language arts relationship is also stressed.
**Standard(s): **

[MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2]

**Subject:**Mathematics (6)

**Title:**Express Yourself

**Description:**This lesson presents students with the abstract idea that letters represent unknown numbers or variables. Vocabulary pertinent to writing English phrases as algebraic expressions and sentences as equations and vice versa is introduced. A mathematics and language arts relationship is also stressed.

**Title:** It's In The Bag

**Description:**
This lesson provides students with a real-life application of problem solving. Students will use color counters to model writing expressions and equations. They are given a scenario to follow where clues about the content of bags are used to determine the type of canned goods in each bag.
**Standard(s): **

[MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2]

**Subject:**Mathematics (6)

**Title:**It's In The Bag

**Description:**This lesson provides students with a real-life application of problem solving. Students will use color counters to model writing expressions and equations. They are given a scenario to follow where clues about the content of bags are used to determine the type of canned goods in each bag.

**Title:** Balancing Shapes

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students balance shapes using an interactive pan balance applet to study equality, essential to understanding algebra. Equivalent relationships are recognized when the pans balance, demonstrating the properties of equality.
**Standard(s): **

[MA2015] (7) 10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7-EE4]

**Subject:**Mathematics

**Title:**Balancing Shapes

**Description:**In this lesson, one of a multi-part unit from Illuminations, students balance shapes using an interactive pan balance applet to study equality, essential to understanding algebra. Equivalent relationships are recognized when the pans balance, demonstrating the properties of equality.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Real Estate Tycoon

**Description:**
This year-long project, from Illuminations, is divided into three parts and reinforces skills that lay a foundation for algebra, such as measurement, fractions, decimals, percents, and proportions. Students design, build, and sell a house and then simulate investment of the profits in the stock market. Along the way, students make scale drawings, compute with fractions and decimals in various contexts, solve simple equations, and learn valuable lessons about how money really works.
**Standard(s): **

[SS2010] CIV (7) 9: Apply principles of money management to the preparation of a personal budget that addresses housing, transportation, food, clothing, medical expenses, insurance, checking and savings accounts, loans, investments, credit, and comparison shopping.

**Subject:**Arts,Mathematics,Social Studies

**Title:**Real Estate Tycoon

**Description:**This year-long project, from Illuminations, is divided into three parts and reinforces skills that lay a foundation for algebra, such as measurement, fractions, decimals, percents, and proportions. Students design, build, and sell a house and then simulate investment of the profits in the stock market. Along the way, students make scale drawings, compute with fractions and decimals in various contexts, solve simple equations, and learn valuable lessons about how money really works.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Classifying Numbers

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use Venn diagrams to organize information about numbers. Using the Product Game board, students look for relationships and characteristics of numbers to determine what numbers belong to a descriptor and what numbers belong to more than one descriptor.
**Standard(s): **

[MA2015] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7-EE1]

**Subject:**Mathematics

**Title:**Classifying Numbers

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use Venn diagrams to organize information about numbers. Using the Product Game board, students look for relationships and characteristics of numbers to determine what numbers belong to a descriptor and what numbers belong to more than one descriptor.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Making Your Own Product Game

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students review strategies for playing the Product Game. In this game, players start with a set of given factors and multiply to find the product. Students then work in groups to create their own game boards.
**Standard(s): **

[MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2]

**Subject:**Mathematics

**Title:**Making Your Own Product Game

**Description:**In this lesson, one of a multi-part unit from Illuminations, students review strategies for playing the Product Game. In this game, players start with a set of given factors and multiply to find the product. Students then work in groups to create their own game boards.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**Title:** Mathematics and Children's Literature

**Description:**
In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
**Standard(s): **

[ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 6-8 text complexity band independently and proficiently. [RL.8.10]

**Subject:**Language Arts,Mathematics

**Title:**Mathematics and Children's Literature

**Description:**In this five-lesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**Title:** Area Formulas

**Description:**
In this unit of four lessons, from Illuminations, students use the area formula for a rectangle to discover the area formulas for triangles, parallelograms and trapezoids. Students also consider irregular figures whose areas can be determined by estimation or decomposition.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Area Formulas

**Description:**In this unit of four lessons, from Illuminations, students use the area formula for a rectangle to discover the area formulas for triangles, parallelograms and trapezoids. Students also consider irregular figures whose areas can be determined by estimation or decomposition.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Finding the Area of Trapezoids

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students discover the area formula for trapezoids and explore alternative methods for calculating the area of a trapezoid.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Finding the Area of Trapezoids

**Description:**In this lesson, one of a multi-part unit from Illuminations, students discover the area formula for trapezoids and explore alternative methods for calculating the area of a trapezoid.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Finding the Area of Irregular Figures

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students estimate the areas of highly irregular shapes and use a process of decomposition to calculate the areas of irregular polygons.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Finding the Area of Irregular Figures

**Description:**In this lesson, one of a multi-part unit from Illuminations, students estimate the areas of highly irregular shapes and use a process of decomposition to calculate the areas of irregular polygons.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Surface Area

**Description:**
This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for computing the surface area of cylinders and rectangular prisms.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**Subject:**Mathematics

**Title:**Surface Area

**Description:**This reproducible transparency, from an Illuminations lesson, features equations for finding the ratios for computing the surface area of cylinders and rectangular prisms.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Discovering the Area Formula for Circles

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles.
**Standard(s): **

[MA2015] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7-G4]

**Subject:**Mathematics

**Title:**Discovering the Area Formula for Circles

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Finding the Area of Parallelograms

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use their knowledge of rectangles to discover the area formula for parallelograms.
**Standard(s): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Finding the Area of Parallelograms

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use their knowledge of rectangles to discover the area formula for parallelograms.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Archimedes' Puzzle

**Description:**
In this lesson, students learn about the history of the Stomachion, an ancient tangram-type puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces.
**Standard(s): **

[MA2015] (8) 19: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. [8-G4]

**Subject:**Mathematics

**Title:**Archimedes' Puzzle

**Description:**In this lesson, students learn about the history of the Stomachion, an ancient tangram-type puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**Title:** Patterns and Function

**Description:**
In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensional shapes.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**Subject:**Mathematics

**Title:**Patterns and Function

**Description:**In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensional shapes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** On Fire

**Description:**
This unit of five lessons, from Illuminations, introduces the components of a fire-safe and fire-wise environment. Students create a fire-wise location through calculations and measurement of percent slope, defensible space distance and various vegetation separation distances. The unit plan culminates with students designing a fire-wise property and testing their fire-wise IQ.
**Standard(s): **

[MA2015] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8-SP3]

**Subject:**Mathematics

**Title:**On Fire

**Description:**This unit of five lessons, from Illuminations, introduces the components of a fire-safe and fire-wise environment. Students create a fire-wise location through calculations and measurement of percent slope, defensible space distance and various vegetation separation distances. The unit plan culminates with students designing a fire-wise property and testing their fire-wise IQ.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids

**Description:**
This is part two of a two-part e-example from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). 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] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**Subject:**Mathematics

**Title:**Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids

**Description:**This is part two of a two-part e-example from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). 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:**6,7,8

**Title:** Pan Balance -- Expressions

**Description:**
This interactive pan balance, from Illuminations, allows students to enter and compare numeric or algebraic expressions. They can '' weigh'' the expressions they want to compare by entering them on either side of the balance, allowing them to practice arithmetic and algebraic skills, as well as to investigate the concept of equivalence.
**Standard(s): **

[MA2015] (8) 12: Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [8-F2]

**Subject:**Mathematics

**Title:**Pan Balance -- Expressions

**Description:**This interactive pan balance, from Illuminations, allows students to enter and compare numeric or algebraic expressions. They can '' weigh'' the expressions they want to compare by entering them on either side of the balance, allowing them to practice arithmetic and algebraic skills, as well as to investigate the concept of equivalence.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12