Books & Videos

Table of Contents

  1. Chapter 1 What is Algebra?: Solving for unknowns...

    1. It all started with a big gaming sale

    2. What does a system really cost?

    3. Algebra is about solving for unknowns

    4. Jo’s got more unknowns

    5. X marks the spot unknown

    6. Equations are math sentences

    7. Now SOLVE for the unknown

    8. So which operation do you use when?

    9. Jo is ready to accessorize!

    10. Equation training

    11. Jo has an awesome setup!

    12. Math Toolbox

  2. Chapter 2 (More) Complicated Equations: Taking Algebra on the road

    1. Paul loves “Pajama Death”

    2. Always start with what you know

    3. There’s a COST for each guy

    4. Replace your words with numbers

    5. Now solve for g... one step at a time

    6. ... but you have to keep the equation equal!

    7. If you follow the rules, you’ll ALWAYS get the right answer

    8. Whole numbers are usually easier to work with

    9. A variable can appear in an equation MORE THAN ONE TIME

    10. Checking your work proves your answer

    11. What’s a road trip without some girls?

    12. We need another variable

    13. A term is a chunk of an algebraic equation

    14. Tools for your Algebra Toolbox

  3. Chapter 3 Rules for Numeric Operations: Follow the rules

    1. Math or No Math

    2. There’s an order for working expressions

    3. You can re-group your equations

    4. It’s an important round...

    5. Distributing a value over a grouping doesn’t change a problem’s value

    6. A constant stands in for a number

    7. Roll the credits...

    8. Tools for your Algebra Toolbox

  4. Chapter 4 Exponent Operations: Podcasts that spread like the plague (that’s a good thing...)

    1. Addie’s got a podcast

    2. Let’s mobilize Addie’s listeners

    3. Can Addie and Alex get enough hits?

    4. Alex is flaking out on his sister

    5. There’s always a villain...

    6. The order of operations says exponents FIRST

    7. A root is the INVERSE of an exponent

    8. Tools for your Algebra Toolbox

  5. Chapter 5 Graphing: A picture’s worth 1,000 words

    1. Edward’s Lawn Mowing needs help...

    2. Why don’t you just SHOW me the money?

    3. Now we can LOOK at Ed’s cash pattern

    4. Graphs show an ENTIRE relationship

    5. Let’s graph Ed’s equation on the Cartesian Plane

    6. Ed’s figuring out the SLOPE of lawns

    7. Linear equations in point-slope form

    8. How does a point and a slope get you a line?

    9. Let’s use the point-slope form

    10. Equations also have a standard form

    11. The slope-intercept form is EASY to graph

    12. Tools for your Algebra Toolbox

  6. Chapter 6 Inequalities: Can’t quite get enough?

    1. Kathleen really loves football

    2. The cost of all players can’t be more than $1,000,000

    3. Inequalities are COMPARISONS

    4. Inequalities involving some negative number operations need special treatment

    5. Negative inequalities work BACKWARD

    6. FLIP the inequality sign with negative multiplication and division

    7. When you’re working with an inequality and negative multiplication or division...

    8. You can visualize a solution set on a number line

    9. Inequalities can have TWO variables

    10. Use a graph to visualize the solutions to an inequality

    11. Answers made in the shade

    12. Are you ready for some football?

    13. Tools for your Algebra Toolbox

  7. Chapter 7 Systems of Equations: Know what you don’t know

    1. A line means infinite solutions

    2. You can’t have -1 gallons of liquid!

    3. How does the sparkling equation work?

    4. The INTERSECTION of the lines solves BOTH linear equations

    5. Solve multiple unknowns with a SYSTEM of EQUATIONS

    6. Two kinds of glasses... that’s TWO unknowns

    7. Let’s solve the glasses problem

    8. You can substitute substitution for graphing

    9. f is gone with almost no work

    10. Manipulate your equations for elimination

    11. Zach’s party rocks!

    12. Sometimes two equations aren’t two lines

    13. Tools for your Algebra Toolbox

  8. Chapter 8 Expanding Binomials & Factoring: Breaking up is hard to do

    1. Math or No Math semi-regional masters final

    2. Who’s right?

    3. Binomials are groups of two algebraic terms

    4. The distributive property, revisited

    5. Simplify binomials with the distributive property

    6. What about when the signs are the SAME?

    7. Sometimes there’s just not a pattern...

    8. FOIL ALWAYS works

    9. Un-distribution is called FACTORING

    10. Factoring is un-mulitplying

    11. Factor by looking for common terms

    12. Zero times anything is 0

    13. Tools for your Algebra Toolbox

  9. Chapter 9 Quadratic Equations: Getting out of line

    1. Head First U is at war!

    2. Jon’s upgrading his technology

    3. Where does Jon put the catapult?

    4. You should always factor with a PLAN

    5. Pi Gamma Delta built a wall!

    6. 9 feet is not a problem

    7. The quadratic formula

    8. Frat Wars, part deux

    9. How can you graph x2?

    10. A parabola is the shape of a quadratic equation

    11. Graphing a parabola depends upon the vertex

    12. Work with the parabola, the SMART way

    13. The discriminant can help with our graph, too

    14. Tools for your Algebra Toolbox

  10. Chapter 10 Functions: Everyone has limits

    1. Pajama Death TV

    2. Equations have limits (most of the time)

    3. The input limits are the domain of the function

    4. Functions have minimum and maximum outputs

    5. Algebra is really about relations

    6. Relations, equations, and functions all go TOGETHER

    7. Function graphs have LIMITS

    8. Just before the second episode of Pajama Death TV...

    9. Graphing reveals the nature of a relation

    10. Functions pass the vertical line test

    11. But... what about the REST of the tickets?

    12. Use the function piece you NEED

    13. The numbers are in... and?

    14. Pajama Death’s show was a hit!

    15. Tools for your Algebra Toolbox

  11. Chapter 11 Real-World Algebra: Solve the world’s problems

    1. Calculate interest from your interest rate and the principle amount you’re borrowing

    2. Max doesn’t own that car just yet...

    3. You don’t need to GUESS with Algebra

    4. Max plans to pay you to be his financial planner

  1. Appendix Leftovers: The Top Five Things (we didn’t cover)

    1. #1 Negative Exponents

    2. Working with negative exponents

    3. #2 Table of values for graphing

    4. #3 Absolute value equations

    5. #4 Calculators

    6. #5 More practice, especially for factoring

  2. Appendix Pre-Algebra Review: Build on a solid foundation

    1. Algebra starts with numbers

    2. How do you work with negative numbers?

    3. Addition and subtraction of integers

    4. Multiplication and division of integers

    5. Absolute Value

    6. What absolute value means

    7. Number sets - all together

    8. The number sets

    9. Three ways to split things up

    10. Decimal’s Anatomy

    11. Addition and subtraction with decimals

    12. Decimal multiplication

    13. Decimal division

    14. Decimal division training

    15. Special decimals

    16. You’re 100% right!

    17. Working with percents

    18. Fractions

    19. Fraction multiplication

    20. Improper fractions

    21. More about improper fractions

    22. Invert a fraction to get its reciprocal

    23. Adding and subtracting fractions

    24. Equivalent fractions get you matching denominators

    25. Use the lowest common denominator for addition

    26. Fraction addition and subtraction training

    27. Dividing by one doesn’t change the value

    28. Reduce fractions by dividing by 1

    29. Factor trees can eliminate lots of little steps

    30. Reduce fractions with the factor tree

    31. Putting it all together - fractions

    32. Converting decimals to fractions

    33. Division by Zero doesn’t work

    34. Sometimes multiplication takes forever!

    35. How quickly things spread...

    36. Why does all this matter?