### Life of Fred

# Life of Fred High School Math Set 1 - Algebra (4 books)

现在是预购期间，没有现货。8月25日发货。Life of Fred won't be shipped until Aug. 25, 2020.

This set can be started with any student who has completed Life of Fred Fractions, Decimals and Percents, PreAlgebra 1 with Biology, and PreAlgebra 2 with Economics or has completed a Pre-Algebra program in another curriculum and is good with word problems.

This set includes:

Life of Fred: Beginning Algebra (Expanded Edition) (Sample Pages)

In this course you will learn about...

- Laws
- Distributive law
- Reflexive Law of Equality
- Proof of the distributive law
- Order of operations
- Symmetric Law of Equality
- Commutative laws
- Why you can't divide by zero

- Numbers
- Finite/Infinite Numbers
- Integers
- Natural numbers
- Whole numbers
- Rational numbers
- Real numbers
- Irrational numbers

- Quadratic Equations
- Solving quadratic equations by factoring
- Solving pure quadratic equations
- Quadratic equations in everyday life
- Solving quadratic equations by completing the square
- Quadratic formula

- Ratios
- Ratios
- Proportions
- Continued Ratios
- Averages
- Simplifying rational expressions
- Adding and subtracting rational expressions
- Multiplying and dividing rational expressions
- Rationalizing the denominator

- Set builder notation
- Signed Numbers
- Adding signed numbers
- Multiplying signed numbers

- Square Roots
- Square Roots
- Solving radical equations

- Types of Problems
- Age problems
- Coin problems
- Motion & Mixture
- Distance-rate-time problems
- Problems with two unknowns

- Equations
- Adding like terms
- Solving Equations
- Transposing
- Solving systems of equations by elimination
- Solving systems of equations by substitution
- Inconsistent and Dependent systems of equations
- Multiplying polynomials
- Long division of polynomials

- Exponents
- Negative exponents
- Fractional exponents

- Factoring
- Factorial function
- Common factors factoring
- Easy trinomial factoring
- Difference of squares factoring
- Grouping factoring
- Harder trinomial factoring

- Fractions
- Solving fractional equations

- Fahrenheit-Celsius conversions
- Functions & Slope
- Functions
- Slope
- Finding slope of a line from its equation
- Slope-intercept form of a line
- Range of a function
- Fast way to graph y = mx + b

- Graphing
- Graphs
- Plotting points
- Graphing linear equations
- Graphing any equation
- Solving systems of equations by graphing

- Geometry
- Rectangles
- Trapezoids
- Areas and volumes
- Sectors
- Pythagorean theorem

- Inequalities & Absolute Value
- Inequalities in the integers
- Absolute value
- Solving inequalities in one unknown
- Graphing inequalities

Life of Fred: Zillions of Practice Problems for Beginning Algebra

Life of Fred: Advanced Algebra (Expanded Edition) (Sample Pages)

In this course you will learn about...

- Matrices
- Proofs by math induction
- Linear Programming
- Determinants
- Cramer's rule
- Arithmetic progressions and series
- Adding and multiplying matrices
- Factorial
- Permutations
- Combinations

- Numbers
- Natural numbers
- Whole numbers
- Integers
- Irrational numbers
- Real numbers
- Imaginary numbers
- Complex numbers
- Scientific notation
- Sigma notation
- Fundamental principle of counting

- Other Topics
- Brief History of mathematics
- Conversion factors
- Unit analysis
- Velocity
- Using a scientific calculator

- Polynomials
- Multiplying binomials
- Factoring binomials
- Factoring a difference of squares
- Factoring trinomials
- Adding, subtracting, multiplying and dividing polynomial fractions
- Binomial formula
- Long division of polynomials

- Proportions
- Ratios
- Median averages
- Proportions
- Cross-multiplying
- Constants of proportionality
- Inverse variation
- Direct variation
- Joint variation
- Weight varies directly as the cube of the height
- Area varies directly as the square of the height
- Volume varies directly as the cube of the height

- Sets
- Venn diagrams
- Union of sets
- Disjoint sets
- Subsets
- Intersection of sets
- Domain
- Codomain
- Range

- Equations
- Dividing by zero
- Rationalizing the denominator
- Solving radical equations
- Significant digits in addition and multiplication
- Linear equations
- Quadratic equations
- Radical equations
- Systems of Equations
- Inconsistent, dependent and independent equations

- Exponents
- Laws of exponents
- Exponential equations

- Fractions
- Complex fractions
- Partial fractions

- Functions
- Definition of a function
- Functional notation
- One-to-one
- Inverse functions

- Geometry
- Pythagorean theorem
- Surface area of a cone
- Ellipses
- Circles
- Reflective property of ellipses
- Parabolas
- Hyperbolas
- Geometric sequences and progressions
- Pascal's Triangle

- Graphing
- Graphing
- Abscissa
- Ordinate
- Quadrants
- Slope
- Slope given two points
- Slope-intercept and double-slope forms of the line
- Slopes of perpendicular lines
- Graphing planes in three dimensions
- Graphing inequalities
- Ordered pairs

- Logarithms
- Logarithms
- Product, quotient, birdie, and power rules for logarithms
- Finding antilogs
- Three definitions of logarithms
- Change-of-base rule for logarithms

Life of Fred: Zillions of Practice Problems for Advanced Algebra