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High School Algebra

  • Algebraic Methods
    • Exponents
    • Zero, negative and fractional exponents
    • Factoring
    • Multiplying parentheses
    • The distributive property
    • Algebraic fractions
    • Equations, formulas and identities
    • Solving linear equations
    • Equations with parentheses and fractions
    • Using equations to solve problems
    • Substituting into formulas
    • Formula problems
    • Rearranging a formula
    • Manipulating formulas
    • Generating formulas
    • Factoring quadratic expressions
    • Completing the square
    • Quadratics and completing the square
    • The quadratic formula
    • Solving quadratic equations
    • Equations involving quadratic fractions
    • Problems leading to quadratic equations
    • Quadratic equations and factoring
    • Sequences and rules
    • Arithmetic sequences
    • Geometric sequences
    • Quadratic sequences part 1
    • Quadratic sequences part 2
    • Other types of sequences
    • Sequences and series
    • The sum of an arithmetic series
    • The sum of a geometric series
    • Binomial coefficients
    • Operations with polynomials
    • Dividing polynomials
    • The factor theorem
  • Number Sense
    • Classifying numbers
    • Set notation
    • Calculating with integers
    • LCM and GCF
    • Exponents and roots
    • Exponent laws
    • Negative exponents and reciprocals
    • Rational exponents
    • Radicals
    • Manipulating radicals
    • Scientific notation
    • Calculations involving scientific notation
    • Fractions, decimals and percentages
    • Percentages of quantities
    • Finding a percentage change
    • Increasing and decreasing by a percentage
    • Percentage problems
    • Compound percentages
    • Ratio
    • Dividing in a given ratio
    • Direct proportion
    • Inverse proportion
  • Statistics and Probability
    • Specifying the problem and planning
    • Types of data
    • Collecting data
    • Comparing data
    • Methods of sampling part 1
    • Methods of sampling part 2
    • Bar graphs
    • Box and whisker plots
    • Calculating the mean from frequency tables
    • Cumulative frequency step polygons
    • Cumulative frequency graphs
    • Scatter plots
    • Lines of best fit
    • Measuring correlation
    • Linear regression
    • Non-linear relationships
    • Histograms
    • Frequency diagrams
    • Misleading charts
    • The Mode
    • The Median
    • The Mean
    • Which measure of central tendency?
    • Linear transformations and the mean
    • The range and interquartile range
    • Quartiles and box plots
    • Standard deviation
    • Introduction to probability
    • Probabilities of single events
    • Combined events part 1
    • Combined events part 2
    • Probabilities from tables and Venn diagrams
    • Dependent events
    • Probability from experiments
    • Probability notation
    • The normal distribution
    • The binomial distribution part 1
    • The binomial distribution part 2
    • Permutations
    • Combinations
  • Functions and Graphs
    • Linear graphs
    • Slopes and intercepts
    • Parallel and perpendicular lines
    • Inequalities
    • Solving linear inequalities
    • Inequalities and regions
    • Inequalities in two variables
    • Quadratic inequalities
    • Solving quadratic inequalities
    • Systems of equations and graphs
    • The elimination method for systems of equations
    • The substitution method for systems of equations
    • Systems of linear and quadratic equations
    • One linear and one quadratic equation
    • Problems leading to systems of equations
    • Real life graphs
    • Graphs of important non-linear functions
    • Using graphs to solve equations
    • Solving equations by trial and error
    • Non-linear functions
    • Function notation
    • Graphs of quadratic equations
    • Plotting and sketching graphs
    • Functions and relations
    • Domain, range and composite functions
    • Inverse functions
    • Absolute truth functions
    • Transforming functions part 1
    • Transforming functions part 2
    • Even, odd and periodic functions
    • Exponentials and logarithms
    • Exponential growth and decay
    • The laws of logarithms
    • Solving equations involving logarithms
    • Simplifying rational functions
    • Operations with algebraic fractions
    • Improper fractions
    • Partial fractions
    • Introducing the Pythagorean theorem
    • Finding unknown lengths
    • Applying the Pythagorean Theorem in 2-D
    • Applying the Pythagorean Theorem in space
    • Pythagorean triples
    • Right triangles
    • The three trigonometric ratios
    • Finding trigonometric ratios
    • Finding side lengths
    • Finding angles
    • Coordinate geometry
    • The equation of a straight line
    • The equation of a circle
    • Cylinders, cones and spheres

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