Doodles Do Math

**Length:** 79 daily lessons

**Includes:** Printable lessons and teacher’s guide

**Age/Grade:** 4th – 6th Grades

Print a Certificate of Completion

### How to Use This Course

Doodles Do Math is all about helping kids learn the mental math skills they need to succeed in higher math in the future. It is based on the teaching methodology and sequence that teachers used in the 1700s and 1800s in America and answers the question, “Why do I have to learn this?”

### Course Introduction

This course includes the student work pages, teacher’s notes, and answer key. This series is focused heavily on notes to the teacher so you are equipped to help your child learn and comprehend math, even if math wasn’t your favorite subject at their age! Alternatives for teaching each lesson are provided so that you can adjust the material to fit your child. No matter how your child learns and understands math best, you’ll find suggestions here.

All of us, at one time or another, have asked, “But why do I have to know this?” This curriculum is designed to eliminate those questions. Children begin solving real life problems that get progressively harder, perhaps even pushing your own limits of concentration. But, our instructor guarantees your child will breeze through the material! At the end of this book, the concept of the unknown as a way to keep track of the bits and parts of a problem is introduced. Then your child will fully understand why they are learning algebra, not just how to do the problems.

**The Story Behind Doodles Do Math**

Doodles Do Math is designed specifically to help you answer the, “But, why?” question for your kids. My children run circles around me every day with questions and ideas, and I want to share my math teaching techniques and tools with you.

There was one particular day filled with math questions from my kids. I was teaching them how to expand certain algebraic fractions into an infinite series, a process which requires long division of polynomials. As I began describing the process to them over lunch, I realized that the first time we talked through long division of polynomials, my kids understood the mechanics, or the “how,” but not the “why.” And so my daughter told me over the dining table that I could explain the “how” until I was blue in the face but that neither she nor her brother would ever remember how to do this type of algebraic math unless I could explain the “why.”

I sat back and, asking what they meant, watched as they both picked up bits of chalk and began drawing on our chalkboard. My daughter began talking about infinite series and elephants and drew pictures to illustrate her point. My son agreed with her and piped up with an added example and drew a picture of a spiral based on 1×2 rectangles.

Then came the inevitable twin discussion between them about the downsides of the various math curricula and why the “why” was so important. That afternoon, I sat down to create “Doodles Do Math” for my children. And now that they have successfully completed the lessons, I am sharing them with you.

- Lesson One
- Lesson Two
- Lesson Three
- Lesson Four
- Lesson Five
- Lesson Six
- Lesson Seven
- Lesson Eight
- Lesson Nine
- Lesson Ten
- Lesson Eleven: Using Unknowns to Add
- Lesson Twelve: Multiplying and Unknowns
- Lesson Thirteen: Unknowns and ‘Less Than’ (Subtraction)
- Lesson Fourteen: Using The Unknown To Solve A Simple Word Problem
- Lesson Fifteen: Review Day
- Lesson Sixteen: Solving For The Unknown
- Lesson Seventeen: Solving for X
- Lesson Eighteen: Algebra Vocabulary & Definition of a Quantity
- Lesson Nineteen: Magnitude Versus Multitude
- Lesson Twenty: Measuring Units & Units of Measure
- Lesson Twenty-One: Concrete and Unencumbered Numbers
- Lesson Twenty-Two: Theorems & Problems
- Lesson Twenty-Three: Known Versus Unknown Quantities
- Lesson Twenty-Four: Reviewing The Signs
- Lesson Twenty-Five: Numerical Coefficients
- Lesson Twenty-Six: The Literal Coefficient
- Lesson Twenty-Seven: Calculating Powers
- Lesson Twenty-Eight: A Surprise (no peeking!)
- Lesson Twenty-Nine: Roots & How To Calculate Them
- Lesson Thirty: What is a Monomial
- Lesson Thirty-One: Recognizing Polynomials
- Lesson Thirty-Two: Homogeneous Algebra
- Lesson Thirty-Three: Evaluating Expressions
- Lesson Thirty-Four: Writing Equations
- Lesson Thirty-Five: Reviewing Some Basic Math
- Lesson Thirty-Six: Learning Algebraic Addition
- Lesson Thirty-Seven: Addition Practice With Subtraction
- Lesson Thirty-Eight: Adding and the Distributive Property (Hippo Hopping)
- Lesson Thirty-Nine: Practice
- Lesson Forty: Adding Complicated Expressions
- Lesson Forty-One: Subtraction and Word Problems
- Lesson Forty-Two: Understanding Algebraic Subtraction
- Lesson Forty-Three: Subtracting Polynomials
- Lesson Forty-Four: Subtraction Practice
- Lesson Forty-Five: Algebra and Subtraction of Negative Values
- Lesson Forty-Six: Rewriting and Regrouping in Algebra
- Lesson Forty-Seven: The Concept of Multiplication and Algebra
- Lesson Forty-Eight: Commutative Multiplication
- Lesson Forty-Nine: Practicing Muliplication of Monomials
- Lesson Fifty: Distributive Property and Hippo Hopping
- Lesson Fifty-One: Multiplying Polynomials
- Lesson Fifty-Two: Practice More Polynomial Multiplication
- Lesson Fifty-Three: And More Polynomial Multiplication
- Lesson Fifty-Four: Practice More Polynomial Multiplication
- Lesson Fifty-Five: Polynomial Multiplication and Negatives
- Lesson Fifty-Six: Practice Polynomial Multiplication with Negatives
- Lesson Fifty-Seven: And More Polynomial Multiplication with Negatives
- Lesson Fifty-Eight: Multiplication of Bigger Polynomials
- Lesson Fifty-Nine: Practice Multiplying Big Polynomials
- Lesson Sixty: More Practice Multiplying Big Polynomials
- Lesson Sixty-One: Polynomial Multiplication and Reducing
- Lesson Sixty-Two: Multiplying 3 and 4 Polynomials
- Lesson Sixty-Three: Practice Multiplying 4 Polynomials
- Lesson Sixty-Four: Last Practice With Polynomial Multiplication
- Lesson Sixty-Five: Thinking About Division and Algebra
- Lesson Sixty-Six: Practice Dividing Monomials
- Lesson Sixty-Seven: More Practice Dividing Monomials
- Lesson Sixty-Eight: More Practice Dividing
- Lesson Sixty-Nine: Dividing Polynomials That Are Factors
- Lesson Seventy: Shhh… Don’t Peek!
- Lesson Seventy-One: More Practice Dividing Polynomials
- Lesson Seventy-Two: Practice More Algebraic Division
- Lesson Seventy-Three: And More Algebraic Division
- Lesson Seventy-Four: Last Practice with Algebraic Division
- Lesson Seventy-Five: Long Division of Polynomials
- Lesson Seventy-Six: Practice the Algebra Division Waltz
- Lesson Seventy-Seven: And More Algebra Division Waltz
- Lesson Seventy-Eight: Even More Practice Dividing Polynomials
- Lesson Seventy-Nine: And More Polynomial Division Waltzing

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