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Algebra 1
Numbers
Classify numbers
Compare and order integers
Compare and order rational numbers
Absolute value and opposites
Number lines
Convert decimals to fractions
Convert fractions to decimals
Square Roots
Cube Roots
Operations
Add Integers
Subtract Integers
Multiply Integers
Divide Integers
Order of operations with integers
Evaluate variable expressions involving integers
Add and subtract rational numbers
Multiply rational numbers
Divide rational numbers
Order of operations with rational numbers
Ratios and proportions
Identify equivalent ratios
Equivalent ratios: fill in the missing number
Unit rates
Unit prices
Solve proportions
Solve proportions: word problems
Scale drawings and scale factors
Percents
Convert a percent to a decimal
Convert a percent to a fraction
Convert a decimal to a percent
Convert a fraction to a percent
Solve percent equations
Percent word problems
Percent of change
Percent of change: word problems
Percent of a number: tax, discount, and more
Find the percent: tax, discount, and more
Multi-step problems with percents
Measurement
Convert rates and measurements: customary units
Convert rates and measurements: metric units
Unit prices with unit conversions
Precision
Greatest possible error
Maximum and minimum area
Minimum and maximum volume
Percent error
Geometry
Perimeter
Perimeter: find the missing side
Area
Volume
Surface Area
Similar figures: side lengths and angle measures
Similar triangles and indirect measurement
Dilations
Dilations: enlargement or reduction
Dilations: scale factor
Dilations: find the coordinates
Perimeter and area of similar figures
Area between two shapes
Similar Solids
Similar Solids
Volume of similar solids
Surface Area of Similar Solids
Perimeter, area, and volume: changes in scale
Pythagorean Theorem
Pythagorean Theorem: find hipotenuse
Pythagorean Theorem: find sides
Pythagorean Theorem: word problems
Converse of the Pythagorean theorem: is it a right triangle?
Special Right Triangles
Coordinate Graphs
Coordinate Graphs review
Midpoints
Distance Between two points
Variable expressions and equations
Write variable expressions
Simplify variable expressions involving like terms
Simplify variable expressions involving the distributive property
Write variable equations
Does x satisfy the equation?
Find solutions from a replacement set
Solve equations using order of operations
Solve Equations
Solve one-step linear equations
Solve two-step linear equations
Solve advanced linear equations
Solve equations with variable on both sides
Identities and equations with no solutions
Solve linear equations: word problems
Single-variable inequalities
Write inequalities from graphs
Identify solutions to inequalities
Solve one-step linear inequalities
Solve two-step linear inequalities
Solve advanced linear inequalities
Write compound inequalities from graphs
Solve compound inequalities
Absolute value equations and inequalities
Solve Absolute Value Equations
Solve absolute value inequalities
Matrices
Matrix Vocabulary
Matrix operation rules
Add and subtract matrices
Multiply a matrix by a scalar
Linear combinations of matrices
Multiply two matrices
Data and graphs
Bar graphs
Line graphs
Histograms
Circle Graphs
Stem and Leaf Plot
Quadratic Equations
Solve quadratic equations using square roots
Solve quadratic equations using the zero product property
Solve quadratic equations by factoring
Complete the square
Solve quadratic equations by completing the square
Solve quadratic equation using the quadratic formula
Using the discriminant
Algebra 2
Arithmetics
Comparing whole numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Divisibility
Prime numbers
Factoring
Multiples
Divisibility rules
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Identify fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Reciprocals
Exponents
Multplication properties
Division properties
Power of a power
Proportional reasoning
Ratio
Proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Polynomial Vocabulary
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Polynomial Function
Factoring
Factoring
Factoring Trinomials a=1
Factoring trinomials a not equal to 1
Difference of Perfect Squares
Perfect Trinomial Squares
Factoring by grouping
Factoring the Sum or Difference of Cubes
Factoring Complicated Expressions
Solving equations by Factoring
Variable expressions
Write variable expressions
Write variable expresions to represent diagrams
Identify terms and coefficients
Evaluate single-variable expressions
Evaluate multi-variable expressions
Add like terms
Subtract like terms
Simplify variable expressions
Linear Equations
Solving equations
Equations with parentheses
Equations with fractions
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Linear Functions
Evaluate Linear Functions
Does (x,y) satisfy the linear equation?
Complete a function table
Write a rule for a function table
Find points on a function graph
Linear function word problems
Identify proportional relationship
Find the constant of variation from graph
Find the constant of variation from a table
Find the constant of variation: word problems
Graphs of linear equations
Rectangular Coordinate System
Midpoint Formula
Definition of Slope
Positive and negative slope
Determine the slope of a line
Find the slope from two points
Find the slope from an equation
Slope of parallel and perpendicular lines
Find the slope of parallel lines
Find the slope of perpendicular lines
Equations of lines
Slope-Intercept Form
Point-Slope Form
Standard Form
Equation of lines (from graph)
Applications of linear equations
Inequalities
Linear inequalities
Multistep inequalities I
Multistep inequalities II
Quadratic functions
Solve quadratic equations using square roots
Solve quadratic equations using the zero product property
Solve quadratic equations by factoring
Complete the square
Solve quadratic equations using quadratic formula
Using the discriminant
Problems
Solve quadratic equations in quadratic form
The quadratic function
Graphs of quadratic equations
Exploring Quadratic Graphs
Graphing Quadratic Equations
Using a table to graph a Quadratic Equation
Vertical and Horizontal Shifts of Quadratic Graphs
Vertical Stretching and Shrinking of Quadratic Graphs
Vertex and Intercepts of a Quadratic Graph
Applications
Absolute Value
Definition
Absolute Value Equations
Absolute Value Inequalities
Absolute Value Graphs
Radical expressions
Adding and subtracting
Rationalizing
Radical equations
Exponential equations
Logarithmic equations
System of equations
Introduction
Substitution
Elimination
Graphing
Using the augmented matrix
Using the inverse matrix
Word problems
System of 3 variables
Graphs and functions
Plotting points and naming quadrants
Interpreting Graphs
Relations and Functions
Function Notation
Writing a Linear Equation from a Table
Writing a Linear Equation to describe a Graph
Direct Variation
Indirect Variation
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Sequences and series
Introduction to sequences
Series and Summation Notation
Arithmetic sequences
Arithmetic series
Geometric sequences
Geometric series
Recursion Sequence
Matrices
Concept of matrix
Definitions
Addition and subtraction
Multiplication
Multiplication properties
Solve linear systems (augmented matrix)
Solve linear system (inverse matrix method)
Matrix equations
Inverse of a matrix
Determinants
Inner product
Geometry
Triangles
Classify triangles
Find the unknown angle
Area of a triangle
Isosceles Triangle
Triangle Side Inequality
Side and Angle Inequalities
Remote Interior Angles
SSS and SAS
ASA and AAS
HL
CPCTC
Isosceles Triangle Property
Quadrilaterals
Classifiy quadrilaterals
Find the missing angle in quadrilaterals
Points, lines, and segments
Lines, line segments, and rays
Lengths of segments on number lines
Distance formula
Angles
Types of angles
Measure angles with a protractor
Complementary and supplementary angles
Lines in the coordinate plane
Find points on a coordinate plane
Quadrants
Coordinate Graphs Review
Polygons
Interior Angles Sum
Equiangular Polygon Sums
Exterior Angles
Kite Properties
Triangle Midsegment
Trapezoid Midsegment
Parallelogram Properties
Rhombus Properties
Rectangle Properties
Square Properties
2-D Figures
Polygon vocabulary
Interior angles of polygons
Area of a Triangle
Area of a Square
Area of a Rectangle
Area of a Rhombus
Area of a Trapezoid
Area of a Parallelogram
Area of Regular polygon
Area of a Circle
3-D Figures
Types of solids
Prism
Pyramid
Cylinder
Cone
Sphere
Areas
Triangle I
Triangle II
Square
Rectangle I
Rectangle II
Parallelogram I
Parallelogram II
Kite and Rhombus I
Kyte and Rhombus II
Trapezoid I
Trapezoid II
Regular polygon
Circe
Sector
Annulus
Segment
Regions between circles and squares
Surface Area
Cube
Rectangular Prism
Pyramids
Cylinder
Cones
Spheres
Joined Solids
Volume
Volume of prisms
Volume of pyramids
Volume of cylinders
Volume of cones
Volume of spheres
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Space Diagonals
Converse of the Pythagorean Theorem
Pythagorean Triples
45-45-90 Triangles
Building Blocks
Lines, line segments, and rays
Congruent segments and midpoints
Midpoint
Parallel and skew lines
Parallel lines and planes
Angles
Complementary and supplementary angles
Using a protractor
Angle bisector
Polygons
Regular polygons
Concave and convex polygon
Congruent polygon
Vertex and diagonal
Perimeter
Parts of a circle
Concentric circles
Congruent circles
Geometry Transformations
Transformations and Isometries
Identify translations, reflections and rotations
Translations
Reflections
Rotations
Symmetry
- Reflectional symmetry
- Rotational symmetry
Dilations
Parallel, coincident and intersepting lines
Distances in the plane
Between two points
From a point to a line
Between two lines
Lines in space
Lines in space
Intersection 2 lines
Plane in space
Planes in the Space
Line-Plane Intersection
Intersection of Two Planes
Intersection of Three Planes
Sheaf of Planes
Angles in the space
Line-Line angle
Line-Plane angle
Plane-Plane Angle
Exercises
Distances in the space
Point-Line Distance
Point-Plane Distance
Line-Line Distance
Plane-Plane Distance
Similarity
Precalculus
Sequences and series
Introduction to sequences
Series and Summation Notation
Arithmethic sequences
Arithmetic series
Geometric sequences
Geometric series
Recursion Sequences
Graphs
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Quadratic functions
Solve quadratic equations using square roots
Solve quadratic equations by factoring
Solve quadratic equations by completing the square
Solve quadratic equations using quadratic formula
Using the discriminant
Parallel, coincident and intersepting lines
Introduction to Functions
Seven Basic Functions
Limits
Limit of a function
Limits approaches a constant
Limits approaches infinity
Evaluating limits
One-Sided Limits
Continuity
Continuity
Discontinuities
Asymptotes
Vertical Asymptote
Horizontal Asymptote
Slant Asymptote
Trigonometry
Trigonometric ratios
Sine
Cosine
Tangent
The reciprocal trigonometric ratios
Cosecant
Secant
Cotangent
Trigonometric ratios of related angles
Complementary angles
Supplementary angles
Angles that differ by 180º
Opposite angles
Trigonometric identities
Solving right angles
Given: One side and one angle
Given: Two sides
Law of sines
Law of cosines
Domain of trigonometric functions
Statistics
Mean
Median
Mode
Quartiles
Deciles
Percentiles
Mean deviation
Variance
Standard Deviation
Coefficient of variation
Skewness
kurtosis
Frequency distribution
Previous concepts
Ungrouped data
Grouped data
Graphing statistics & Data
Bar chart
Histogram
Pie chart
Frequency Polygon
Pictogram
Cartogram
Factorial
Variations without repetition
Variations with repetition
Permutations without repetition
Permutation with repetition
Circular permutation
Binomial coefficient
Combinations without repetition
Combinations with repetition
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