**Title:** Inequalities: Solving and Graphing

**Description:**
The students will extend their knowledge from solving equalities to solving inequalities. They will also learn to graph the solutions of inequalities.
**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 (7)

**Title:**Inequalities: Solving and Graphing

**Description:**The students will extend their knowledge from solving equalities to solving inequalities. They will also learn to graph the solutions of inequalities.

**Title:** New York with $1200

**Description:**
CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!
**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:**Mathematics (7), or Social Studies (7), or Technology Education (6 - 8)

**Title:**New York with $1200

**Description:**CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!

**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:** Graphing What

**Description:**
This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Graphing What

**Description:**This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Square Circles

**Description:**
This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumference--namely pi.
**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:**Square Circles

**Description:**This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumference--namely pi.

**Thinkfinity Partner:**Illuminations

**Grade Span:**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:** Constant Dimensions

**Description:**
In this Illuminations lesson, students measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising.
**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:**Constant Dimensions

**Description:**In this Illuminations lesson, students measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units. For many middle school students, this discovery is surprising.

**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:** Solving 2 Step Equations

**Digital Tool:**
Read Write Think Webbing Tool **Web Address URL:**
http://www.readwritethink.org/classroom-resources/student-interactives/readwritethink-webbing-tool-30038.html **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]**Digital Tool Description:** Webbing tool to organize steps to solving equations.

**Title:**Solving 2 Step Equations

**Digital Tool:**Read Write Think Webbing Tool

**Digital Tool Description:**Webbing tool to organize steps to solving equations.

**Title:** Pan Balance -- Numbers

**Description:**
This student interactive, from Illuminations, can be used to find numerical expressions that are equivalent to one another. If equivalent expressions are placed in the blue and red pans on the virtual scale, it will balance.
**Standard(s): **

[MA2015] (8) 9: Solve linear equations in one variable. [8-EE7]

**Subject:**Mathematics

**Title:**Pan Balance -- Numbers

**Description:**This student interactive, from Illuminations, can be used to find numerical expressions that are equivalent to one another. If equivalent expressions are placed in the blue and red pans on the virtual scale, it will balance.

**Thinkfinity Partner:**Illuminations

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

**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:** 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