MOW+2

__**Links Legend **__ [T] - Teacher Created [S] - Student Created [E] - External Link

__Modeling: Applying Mathematics to Real World Problems __

 * **How to Model Mathematically **
 * **Find Your Essential Question - What do you want to know? **
 * **Check Available Data - Do you have enough data to create a model? (at least 3 data points) **
 * **Create or find Mathematical Model - Example: Use technology to fit data to curves/lines **
 * **Apply Model to Find Answer to Essential Question **
 * **Check Results of Model With Reality - Does the answer to your question "make sense"? **

**__Project __**

 * **Essential Question (file below) **
 * [[file:AT2012 Project EQ Checklist Revised.doc]]

**__Skills For Success __**

 * ===**Numbers Used in the Application of Mathematics [T]**===
 * **<span style="font-family: 'Comic Sans MS',cursive;">Operations on Integers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 1: Addition/Subtraction of Integers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Magic Squares: Integers [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Operations that make equations TRUE [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Pairs of Integers [T] **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Skill 1 Addition and Subtraction of Integers.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 2: Multiplication/Division of Integers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Identify Equivalent Expressions [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Identify Unique Pairs of Integers [T] **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Skill 2 Multiplication and Division of Integers.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Operations on Rational Numbers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 3: Basic Rational Numbers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Create Equivalent Rational Numbers [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Identify Rational Numbers Between... [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Putting Rational Numbers in Order [T] **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Skill 3 Basic Rational Numbers.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 4: Addition/Subtraction of Rational Numbers **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Magic Squares: Rational Numbers [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Find the sum [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Find the difference [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Unique pairs of rational numbers with a sum of... [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Unique pairs of rational numbers with a difference of... [T] **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Skill 4 Addition and Subtraction of Rational Numbers.pdf]]

>>
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 5: Multiplication/Division of Rational Numbers **
 * **Multiplying Rational Numbers [T]**
 * **Dividing Rational Numbers [T]**
 * [[file:Skill 5 Multiplication and Division of Rational Numbers.pdf]]
 * **<span style="font-family: 'Comic Sans MS',cursive;">Geometry **
 * **Skill 6: Basic Geometry**
 * **Dimensions of a Rectangle [T]**
 * **Circles (Exact Area and Circumference) [T]**
 * **Composite Figures (Exact Area) [T]**
 * [[file:Basic Geometry (Revised).pdf]]
 * [[file:Basic Geometry (Revised) Solutions.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Square Roots **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 7: Square Numbers vs. Square Roots **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Square Number vs Square Root.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Square Number vs Square Root Solutions.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 8: Simplifying Square Roots **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Simplifying Square Roots.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Simplifying Square Roots Solutions.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 9: Addition/Subtraction of Square Roots **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Square Roots Addition and Subtraction.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Square Roots Addition and Subtraction Solutions.pdf]]
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 10: Multiplication of Square Roots **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Square Roots Multiplication.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Square Roots Multiplication Solutions.pdf]]
 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 11: Division of Square Roots **
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Square Roots Simple Division.pdf]]
 * [[file:Division of Radicals Solutions.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Square Roots Simple Division.pdf]]
 * [[file:Division of Radicals Solutions.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">S ****<span style="font-family: 'Comic Sans MS',cursive;">kill 12: Approximation of Radicals **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 12 Approximation of Radicals.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">Skill 13: Monomials Addition and Subtraction **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 13 Monomials Addition Subtraction.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 14: Monomials Multiplication and Division **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 14 Monomials Multiplication Division.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 15: Multiplication of Binomials **
 * [[file:Skill 15 Polynomial Add Subt Multiply.pdf]]
 * [[file:Skill 15 Addendum.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 16: Basic Factoring **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 16 Basic Factoring.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 17:Quadratic Solutions **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 17 Quadratic Solutions.pdf]]
 * <span style="font-family: 'Comic Sans MS',cursive;">[[file:Skill 17 Addendum.pdf]]


 * **<span style="font-family: 'Comic Sans MS',cursive;">Skill 18: Quadratic Applications **
 * <span style="font-family: 'Comic Sans MS',cursive; line-height: 0px; overflow: hidden;">[[file:Skill 18 Quadratic Applications.pdf]]


 * __**<span style="font-family: 'Comic Sans MS',cursive;">Other Pencasts **__
 * <span style="font-family: 'Comic Sans MS',cursive;">**Converting Mixed Numbers to Pure Ratios** **[T]**


 * **<span style="font-family: 'Comic Sans MS',cursive;">Unit Conversions **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Representing One **<span style="font-family: 'Comic Sans MS',cursive;"> **[T]**
 * **<span style="font-family: 'Comic Sans MS',cursive;">From Tables to Ratios **<span style="font-family: 'Comic Sans MS',cursive;"> **[T]**


 * **<span style="font-family: 'Comic Sans MS',cursive;">Laws of Exponents **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Applying the Laws **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Simplifying Rational Expressions using Laws of Exponents **


 * **<span style="font-family: 'Comic Sans MS',cursive;">Functions / Function Notation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Identify Functions **
 * <span style="font-family: 'Comic Sans MS',cursive;">**Function Notation**
 * **<span style="font-family: 'Comic Sans MS',cursive;">Evaluation of Functions **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Advanced Evaluation **


 * **<span style="font-family: 'Comic Sans MS',cursive;">Sequences **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Identifying Sequences [T] **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Arithmetic Sequences [T]**
 * **<span style="font-family: 'Comic Sans MS',cursive;">Table to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Graph to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Equation to Graph **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Geometric Sequences [T]**
 * **<span style="font-family: 'Comic Sans MS',cursive;">Table to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Graph to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Equation to Graph **
 * ** Fibonacci Sequence ** **[T]**


 * **<span style="font-family: 'Comic Sans MS',cursive;">Exponential Equations **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Table to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Graph to Equation **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Equation to Graph **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Asymptotes and Range **


 * **<span style="font-family: 'Comic Sans MS',cursive;">Statistics **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Measures of Central Tendency **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Data Representations (Histograms, Dot and Box Plots) **
 * **<span style="font-family: 'Comic Sans MS',cursive;">Standard Deviation and Data Shape **