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(special note just hit ctrl f then type in what word or phrase you need, will take you directly to it) Whole
Numbers Expanded Form and
Numeral Translation Expanded form
Expanded form
with zeros
Numeral
translation: Problem type 1
Numeral
translation: Problem type 2
Addition and
Subtraction Addition without
carry
Addition with
carry
Addition with
carry to the hundreds place
Addition of large
numbers
Subtraction
without borrowing
Subtraction with
borrowing
Subtraction with
multiple regrouping steps
Subtraction and
regrouping with zeros
Word problem
using addition or subtraction
Multiplication
and Division One-digit
multiplication s Multiplication
without carry
Multiplication
with trailing zeros: Problem type 1 Multiplication
with trailing zeros: Problem type 2 Multiplication
of large numbers Simple
division
Division
without carry Division
with carry
Division
with trailing zeros: Problem type 1
Division
with trailing zeros: Problem type 2
Division
involving quotients with intermediate zeros
Quotient
and remainder: Problem type 1
Quotient
and remainder: Problem type 2
Quotient
and remainder: Problem type 3
Word
problem using division
Basic word
problem using multiplication or division
Rounding
and Ordering Introduction
to inequalities
Ordering
large numbers
Rounding:
Problem type 1
Rounding:
Problem type 2
Estimating
a sum
Estimating
a difference
Estimating
a product or quotient
Average
of two numbers
Order of
Operations and Arithmetic Properties Introduction to
parentheses
Order of
operations: Problem type 1
Order of
operations: Problem type 2
Evaluating a
simple algebraic expression: Problem type 3
Introduction to
properties of addition
Introduction to
properties of multiplication
Introduction to
the distributive property
Factors and Prime
Numbers Factors
Prime numbers
Prime number
factorization
Greatest common
factor
Least
common multiple
Word
problem with common multiples
Decimals
& Percents Place value,
Rounding, and Ordering Decimal place
value Rounding decimals
Ordering decimals
Ordering fractions
and decimals
Conversion
between Fractions and Decimals
Introduction to
converting a fraction to a decimal
Converting a
decimal to a fraction Converting a
fraction to a terminating decimal
Converting a
fraction to a repeating decimal
Introduction to
writing a decimal as a mixed number
Converting a
mixed number to a decimal
Converting a
mixed number to a decimal
Addition of aligned
decimals
Subtraction of
aligned decimals
Word
problem with one decimal operation: Problem type 1
Word
problem with one decimal operation: Problem type 2
Multiplication
and Division Multiplication
of a decimal by a power of ten
Multiplication
of a decimal by a whole number
{this
gives the number of decimal place in the answer} Decimal
multiplication: Problem type 1
Word
problem with powers of ten
Word
problem using decimal addition and multiplication
Division
of a decimal by a power of ten
Division
of a decimal by a whole number
Decimal
division
Word
problem using decimal subtraction and division
Percent:
Introduction
to percent
Converting
between percentages and decimals Converting
a percentage to a fraction
Converting
a fraction to a percentage Percentage
of a whole number
Writing
a ratio as a percentage
Word
problem on percentage: Problem type 1
Word
problem on percentage: Problem type 2
Word
problem on percentage: Problem type 3
Simple
interest
Interpreting
circle graphs or pie charts
Computations
from circle graphs
Random
samples and prediction
Variable
Expressions & Polynomials Integer
and Signed Numbers Plotting
integers on a number line
Plotting
rational numbers on a number line
Absolute
value of a number
Operations
with absolute value
Integer
addition: Problem type 1
Integer
addition: Problem type 2
Integer
subtraction
Integer
multiplication and division
Signed
fraction addition
Signed
fraction multiplication
Signed
decimal addition
Variable
Expressions Evaluation
of a linear expression in two variables
Evaluation
of a polynomial in one variable Distributive
property: Basic
Additive
property of equality 1
Distributive
Property: Advanced
Combining
like terms: Basic
Combining
like terms: Advanced
Writing
a mathematical expression
Exponents: Introduction
to exponents
Evaluating
expressions with exponents: Problem type 1
Evaluating
expressions with exponents: Problem type 2
Exponents
and order of operations
Product
rule of exponents
Quotients
of expressions involving exponents
Power
rule: Positive exponents
Ordering
numbers with positive exponents
Polynomials: Simplifying a
polynomial expression
Greatest common
factor of two monomials
Multiplying
monomials
Multiplying two
binomials
Squaring a
binomial
Multiplying
polynomials
Square Roots perfect
square Square
root of a rational perfect square
Estimating
a square root
Geometry Lines and Angles:
Naming segments,
rays, and lines
Measuring an
angle with the protractor
Acute, obtuse,
and right angles
Supplementary and
complementary angles
Supplementary and
vertical angles
````` Acute, obtuse,
and right triangles
Scalene,
isosceles, and equilateral triangles
Area of a
triangle
Sum of
the angle measures of a triangle
Solving
a triangle: Problem type 1
Pythagorean
Theorem
Polygons
and Quadrilaterals Classifying
quadrilaterals
Perimeter
of a square or a rectangle
Perimeter
of a polygon
Finding
the side length of a rectangle given its perimeter or area
Sides of
polygons having the same perimeter
Perimeter
of a piecewise rectangular figure
Distinguishing
between area and perimeter
Areas of
rectangles with the same perimeter Area of
a square or a rectangle
Area of
a piecewise rectangular figure
Area of
a parallelogram
Area of
a trapezoid
Area
between two rectangles
Area
involving rectangles and triangles
Circles Circumference
of a circle
Circumference
and area of a circle
Finding
the radius or the diameter of a circle given its circumference
Circumference
ratios
Perimeter
involving rectangles and circles
Area
between two concentric circles
Area
involving rectangles and circles
Area
involving inscribed figures
Volume and
Surface Area: Volume of a cube
or a rectangular prism
Volume of a
piecewise rectangular prism
Volume of a
triangular prism
Volume of a
cylinder
Rate of filling
of a solid
Nets of solids Surface area of a
solid made of unit cubes
Surface area of a
cube or a rectangular prism
Similarity:
Similar polygons Similar right
triangles
Indirect
measurement
Fractions
& Proportions Equivalent
Fractions Introduction to
fractions
Introduction to
ratios
Understanding
equivalent fractions Equivalent
fractions
Reduced fraction
Ordering
Fractions Plotting
fractions on a number line
Ordering
fractions with same denominator
Ordering
fractions with same numerator
Ordering
fractions
Addition and
Subtraction Addition or
subtraction of fractions with the same denominator
Addition or
subtraction of fractions with different denominators
Fractional part
of a circle
Multiplication
and Division The reciprocal of
a number
Product of a unit
fraction and a whole number
Unit fraction
multiplication
Product of a
fraction and a whole number
Fraction
multiplication
Word problem with
fractions
fraction division
Mixed
numbers Introduction
to mixed numbers and improper fractions
Writing
an improper fraction as a mixed number
Writing
a mixed number as an improper fraction
Addition
or subtraction of mixed numbers with same denominator
Addition
of mixed numbers with same denominator and carry
Subtraction
of mixed numbers with same denominator and borrowing
Addition
or subtraction of mixed numbers with different denominators
Mixed
number multiplication: Problem type 1
11ixed
number multiplication: Problem type 2
Mixed
number division
Proportion: Basic
word problem on rates
Word
problem on rates
Solving
a proportion: Basic
Simple word
problem on proportions
Word
problem on proportions: Problem type 1
Word
problem on proportions: Problem type 2
Measurement,
Data & Probability Measurement: Conversions
involving measurements in feet and inches
Adding customary
units of length
Customary
unit conversion with whole number values
Customary
unit conversion with whole number values, two-step conversion Customary
unit conversion with mixed number values
Customary
unit conversion with mixed number values, two-step conversion
Metric
distance conversion with whole number values
Metric
mass or capacity conversion with whole number values
Metric distance
conversion with decimal values
Metric
conversion with decimal values, two-step conversion
Time
unit conversion with whole number values
Conversion
between metric and customary unit systems
Data
Analysis Histograms
for numerical data
Bar
graphs for non-numerical data
Interpreting
bar graphs
Double
bar graphs
Interpreting
line graphs
Mode of
a data set
Mean and
median of a data set
Finding
the value for a new score that will yield a given mean
How
changing a value affects the mean and median
Probability: Introduction
to probability of an event
Probability
of an event
Tree
diagrams
Equations
& Graphs Additive
and Multiplicative Properties of Equality: Additive
property of equality: Problem type 1
Additive
property of equality with decimals
Additive
property of equality with fractions
Additive
property of equality: Problem type 2
Additive
property of equality: Problem type 3
Multiplicative
property of equality: Problem type 1
Multiplicative
property of equality with fractions
Multiplicative
property of equality: Problem type 2
Solving Linear
Equations: Solving a linear
equation: Problem type 1
Solving a linear
equation: Problem type 2
Solving a linear
equation: Problem type 3
Solving a linear
equation with several occurrences of the variable: Problem type 1
Solving a linear
equation with several occurrences of the variable: Problem type 2
Solving a linear
equation with several occurrences of the variable: Problem type 3
Solving a linear
equation with several occurrences of the variable: Problem type 4
Applications of
Linear Equations: Translating
sentences into equations
Solving
a word problem using a linear equation: Problem type 1
Solving a word
problem using a linear equation: Problem type 2
Solving a word
problem using a linear equation: Problem type 3
Solving a word
problem using a linear equation: Problem type 4
Functions and
Graphs: Finding
a function rule: Problem type 1
Finding
the next terms of a simple sequence
Reading
a point in the coordinate plane
Plotting
a point in the coordinate plane
Solutions
to a linear equation in two variables: Problem type 1
Solutions
to a linear equation in two variables: Problem type 2
x-and
y-intercepts of a line given the equation in standard form
Graphing
a line given the x-and y-intercepts
Graphing
a line given its equation in slope-intercept form
Graphing
a line given its equation in standard form
Graphing
a vertical or horizontal line
Basic
Algebra Arithmetic
readiness Whole numbers Fractions Decimals Percents Geometry Data analysis Linear
equations & inequalities Linear equations Inequalities Applications Integer
exponents & polynomials Exponents Polynomial
arithmetic Factoring Radicals
& rational exponents Square roots Pythagoras
theorem Rational
exponents Real
numbers & variables Integers and
rational numbers
Properties of
real numbers Variables and algebraic
expressions Functions,
lines, systems of equations Sets, relations,
and functions Graphing linear
equations and inequalities Properties of
lines Systems of linear
equations Rational
expressions & proportions Simplifying
expressions Solving equations
Applications Complex
numbers & quadratic equations Quadratic
equations and functions Graphing Arithmetic
readiness Whole numbers: Order of
operations: Problem type 1
Order of
operations: Problem type:2
Factors
Prime numbers
Prime number
factorization Greatest common
factor Least common
multiple Simple word
problem on proportions Fractions: Equivalent
fractions Reduced fraction Addition
or subtraction of fractions with the same denominator Addition
or subtraction of fractions with different denominators The
reciprocal of a number Product
of a unit fraction and a whole number Unit
fraction multiplication Product
of a fraction and a whole number Fraction
multiplication Fraction
division Word
problem with fractions Writing
an improper fraction as a mixed number Writing
a mixed number as an improper fraction Addition
of mixed numbers with same denominator and carry Subtraction
of mixed numbers with same denominator
and borrowing Addition
or subtraction of numbers with
different denominators Mixed
number multiplication: Problem type 1 Mixed
number division Decimals: Decimal
place value Rounding
decimals Converting
a decimal to a fraction Converting
a fraction to a terminating decimal Converting
a fraction to a repeating decimal Converting
a mixed number to a decimal Multiplication
of a decimal by a power of ten Multiplication
of a decimal by a whole number Decimal
multiplication: Problem type 1 Division
of a decimal by a power of ten Division
of a decimal by a whole number Decimal
division Word
problem with one decimal operation: Problem type 1 Word problem
with one decimal operation: Problem type 2 Word
problem using decimal addition and multiplication Word
problem using decimal subtraction and division Percents: Converting
between percentages and decimals Converting a
percentage to a fraction Converting a
fraction to a percentage Percentage of a
whole number Writing a ratio
as a percentage Word problem on
percentage: Problem type 1 Word problem on
percentage: Problem type 2 Word problem on
percentage: Problem type 3 Simple interest Geometry: Supplementary and
complementary angles Perimeter
of a square or a rectangle Perimeter
of a polygon Area of
a square or a rectangle Area of
a triangle Circumference
and area of a circle Volume
of a cube or a rectangular prism Volume
of a cylinder Data
analysis: Mean and
median of a data set Interpreting
bar graphs Computations
from circle graphs Interpreting
circle graphs or pie charts Linear
equations & inequalities Linear
equations Additive
property of equality: Problem type 1 Additive
property of equality: Problem type 2 Additive
property of equality: Problem type 3 Additive
property of equality with decimals Additive
property of equality with fractions Multiplicative
property of equality: Problem type 1 Multiplicative
property of equality: Problem type 2 Multiplicative
property of equality with fractions Using
two steps to solve an equation Solving
a linear equation: Problem type 1 Solving
a linear equation: Problem type 2 Solving
a linear equation: Problem type 3 Solving
a linear equation with several occurrences of the variable: Problem type 1 Solving
a linear equation with several occurrences of the variable: Problem type 2 Solving
a linear equation with several occurrences of the variable: Problem type 3 Solving
a linear equation with several occurrences of the variable: Problem type 4 Solving
a linear equation with several occurrences of the variable: Problem type 5 Inequalities: Writing
an inequality Writing
a compound inequality Solving
a linear inequality: Problem type 1 Solving
a linear inequality: Problem type 2 Solving
a linear inequality: Problem type 3 Solving
a linear inequality: Problem type 4 Graphing
a linear inequality on the number line Graphing
a compound linear inequality on the number line Applications: Translating
sentences into equations Introduction
to algebraic symbol manipulation Algebraic
symbol manipulation Solving
a word problem using a linear equation: Problem type 1 Solving
a word problem using a linear equation: Problem type 2 Solving
a word problem using a linear equation: Problem type 3 Solving
a word problem using a linear equation: Problem type 4 Finding
the value for a new score that will yield a given mean Sum of
the angle measures of a triangle Vertical
angles and linear pairs Finding
the side length of a rectangle given its perimeter or area Area and
perimeter of a rectangle Word
problem 'with linear inequalities Integer
exponents & polynomials Exponents: Product
rule of exponents Quotients
of expressions involving exponents Writing
a positive number without a negative exponent Writing
a negative number without a negative exponent Power
rule: Positive exponents Power
rule: Negative exponents Multiplying
monomials Product
rule of exponents in a multivariate monomial Ordering
numbers with positive exponents Ordering
numbers with negative exponents Scientific
notation with positive exponent Scientific
notation with negative exponent Multiplying
and dividing numbers written in scientific notation Polynomial
arithmetic Combining like
terms: Advanced Simplifying a
polynomial expression Multiplying two
binomials Squaring a
binomial Multiplying
polynomials Degree of a
multivariate polynomial Polynomial long
division: Linear divisor Polynomial long
division: Quadratic divisor Factoring: Factoring
a quadratic with leading coefficient 1 Factoring
a quadratic with leading coefficient greater than 1 Factoring
a perfect square Factoring
a quadratic polynomial in two variables Factoring
a product of a quadratic trinomial and a monomial Factoring
a difference of squares Factoring
with repeated use of the difference of squares formula Greatest
common factor of two monomials Factoring
a multivariate polynomial by grouping: Problem type 1 Factoring
a multivariate polynomial by grouping: Problem type 2 Factoring
a sum or difference of two cubes Radicals
& rational exponents Square
roots Square root
of a rational perfect square Square
root of a perfect square monomial Square
root simplification Simplifying
a radical expression: Problem type 1 Simplifying
a radical expression: Problem type 2 Square
root addition Simplifying
a sum of radical expressions Square
root multiplication Simplifying
a product of radical expressions Simplifying
a product of radical expressions using the distributive property Rationalizing
the denominator of a radical expression Rationalizing
the denominator of a radical expression using conjugates Solving
an equation with radicals: Problem type 1 Solving
an equation with radicals: Problem type 2 Solving
an equation with radicals: Problem type 3 Pythagoras
theorem Pythagorean
Theorem Rational
exponents: Cube root of an
integer Simplifying a
higher radical: Problem type 1 Simplifying
a higher radical: Problem type 2 Even
root property Solving
an equation with exponent using the even-root property Real
numbers & variables Integers
and rational numbers Plotting
rational numbers on a number line Integer
addition: Problem type 1 Integer
addition: Problem type 2 Integer
subtraction Integer
multiplication and division Signed
fraction addition Signed
fraction multiplication Signed
decimal addition Introduction
to exponents Evaluating
expressions with exponents: Problem type 1 Evaluating
expressions with exponents: Problem type 2 Exponents
and order of operations Square
root of a perfect square Estimating
a square root Absolute
value of a number Properties of
real numbers: Integers and
rational numbers Rational and
irrational numbers Properties of
addition Properties of
real numbers Variables and
algebraic expressions: Evaluation of a
linear expression in two variables Evaluation of a
polynomial in one variable Distributive
property: Basic Distributive
Property: Advanced Combining like
terms: Basic Writing a
mathematical expression Functions,
lines, systems of equations Sets, relations,
and functions: Set builder
notation Function tables Graphing integer
functions Domain and range:
Problem type 1 Vertical line
test Graphing linear
equations and inequalities: Reading a point
in the coordinate plane Plotting a point
in the coordinate plane Graphing
a line given the x-and y-intercepts Graphing
a line given its equation in slope-intercept form Graphing
a line given its equation in standard form Graphing
a line through a given point with a given slope Graphing
a vertical or horizontal line Graphing
a linear inequality in the plane: Problem type 1 Graphing
a linear inequality in the plane: Problem type 2 Writing
equations and drawing graphs to fit a narrative Properties
of lines Solutions
to a linear equation in two variables: Problem type 1 Solutions
to a linear equation in two variables: Problem type 2 Y-intercept
of a line X-and
y-intercepts of a line given the equation in standard form Finding
the slope of a line given its equation Determining
the slope of a line given its graph Writing
an equation of a line given the y-intercept and a point Writing
the equation of a line given the slope and a point on the line Writing
the equation of the line through two given points Writing
the equations of vertical and horizontal lines through a given point Application
problem with a linear function: Problem type 1 Application
problem with a linear function: Problem type 2 Slopes
of parallel and perpendicular lines: Problem type 1 Slopes of
parallel and perpendicular lines: Problem type 2 Interpreting
line graphs Interpreting
the graphs of two functions Systems
of linear equations Classifying
a system of linear equations Solving
a system of linear equations Solving
a word problem using a system of linear equations: Problem type 1 Solving
a word problem using a system of linear equations: Problem type 2 Solving
a word problem using a system of linear equations: Problem type 3 Solving
a word problem using a system of linear equations: Problem type 4 Solving
a word problem using a system of linear equations: Problem type 5 Graphing
a system of linear inequalities Rational
expressions & proportions Simplifying
expressions: Multiplying rational
expressions: Problem type 1 Multiplying
rational expressions: Problem type 2 Dividing
rational expressions Complex
fraction: Problem type 1 Adding
rational expressions with common denominator Adding
rational expressions Least
common multiple of two monomials Adding
rational expressions with different denominators Adding
and subtracting rational expressions: Problem type 1 Adding
and subtracting rational expressions: Problem type 2 Simplifying
a ratio of polynomials: Problem type 1 Ratio of
multivariate polynomials Solving equations: Solving
a proportion: Basic Solving
a proportion: Advanced Restriction
on variable in a denominator Solving
a rational equation that simplifies to a linear equation: Problem type 1 Solving
a rational equation that simplifies to a linear equation: Problem type 2 Solving
a rational equation that simplifies to a linear equation: Problem type 3 Solving
a rational equation that simplifies to a quadratic equation: Problem type 1 Solving
a rational equation that simplifies to a quadratic equation: Problem type 2 Applications Basic
word problem on rates Word
problem on rates Word
problem involving multiple rates Word
problem on proportions: Problem type 1 Word
problem on proportions: Problem type 2 Word
problem on inverse proportions Word problem
on direct variation Word
problem on inverse variation Similar
polygons Metric
distance conversion with whole number values Customary
unit conversion with whole number values Complex
numbers & quadratic equations Quadratic
equations and functions Graphing Arithmetic readiness Whole numbers: Order of
operations: Problem type 1 Order of
operations: Problem type:2 Factors Prime numbers Prime number
factorization Greatest common
factor Least common
multiple Simple word problem
on proportions Fractions: Equivalent
fractions Reduced fraction Addition
or subtraction of fractions with the same denominators Addition
or subtraction of fractions with different denominators The
reciprocal of a number Product
of a unit fraction and a whole number Unit
fraction multiplication Product
of a fraction and a whole number Fraction
multiplication Fraction
division Word
problem with fractions Writing
an improper fraction as a mixed number Writing a
mixed number as an improper fraction Addition
of mixed numbers with same denominator and carry Subtraction
of mixed numbers with same denominator
and borrowing Addition
or subtraction of mixed numbers with
different denominators Mixed
number multiplication: Problem type 1 Mixed
number division Decimals: Decimal
place value Rounding
decimals Converting
a decimal to a fraction Converting
a fraction to a terminating decimal Converting
a fraction to a repeating decimal Converting
a mixed number to a decimal Multiplication
of a decimal by a power of ten Multiplication
of a decimal by a whole number Decimal
multiplication: Problem type 1 Division
of a decimal by a power of ten Division
of a decimal by a whole number Decimal
division Word
problem with one decimal operation: Problem type 1 Word
problem with one decimal operation: Problem type 2 Word
problem using decimal addition and multiplication Word
problem using decimal subtraction and division Percents: Converting between
percentages and decimals Converting a
percentage to a fraction Converting a
fraction to a percentage Percentage of a
whole number Writing a ratio
as a percentage Word problem on
percentage: Problem type 1 Word problem on
percentage: Problem type 2 Word problem on
percentage: Problem type 3 Simple interest Geometry: Supplementary and
complementary angles Perimeter
of a square or a rectangle Perimeter
of a polygon Area of
a square or a rectangle Area of
a triangle Circumference
and area of a circle Volume
of a cube or a rectangular prism Volume
of a cylinder Data
analysis Mean and
median of a data set Interpreting
bar graphs Computations
from circle graphs Interpreting
circle graphs or pie charts Linear
equations & inequalities Linear
equations Additive
property of equality: Problem type 1 Additive
property of equality: Problem type 2 Additive
property of equality: Problem type 3 Additive
property of equality with decimals Additive
property of equality with fractions Multiplicative
property of equality: Problem type 1 Multiplicative
property of equality: Problem type 2 Multiplicative
property of equality with fractions Using
two steps to solve an equation Solving
a linear equation: Problem type 1 Solving
a linear equation: Problem type 2 Solving
a linear equation: Problem type 3 Solving
a linear equation with several occurrences of the variable: Problem type 1 Solving
a linear equation with several occurrences of the variable: Problem type 2 Solving
a linear equation with several occurrences of the variable: Problem type 3 Solving
a linear equation with several occurrences of the variable: Problem type 4 Solving a
linear equation with several occurrences of the variable: Problem type 5 Inequalities: Writing
an inequality Writing
a compound inequality Solving
a linear inequality: Problem type 1 Solving
a linear inequality: Problem type 2 Solving
a linear inequality: Problem type 3 Solving
a linear inequality: Problem type 4 Graphing
a linear inequality on the number line Graphing
a compound linear inequality on the number line Applications Translating
sentences into equations Introduction
to algebraic symbol manipulation Algebraic
symbol manipulation Solving
a word problem using a linear equation: Problem type 1 Solving
a word problem using a linear equation: Problem type 2 Solving
a word problem using a linear equation: Problem type 3 Solving
a word problem using a linear equation: Problem type 4 Finding
the value for a new score that will yield a given mean Sum of
the angle measures of a triangle Vertical
angles and linear pairs Finding
the side length of a rectangle given its perimeter or area Area and
perimeter of a rectangle Word
problem 'with linear inequalities Integer
exponents & polynomials Exponents: Product
rule of exponents Quotients
of expressions involving exponents Writing a
positive number without a negative exponent Writing
a negative number without a negative exponent Power
rule: Positive exponents Power
rule: Negative exponents Multiplying
monomials Product
rule of exponents in a multivariate monomial Ordering
numbers with positive exponents Ordering
numbers with negative exponents Scientific
notation with positive exponent Scientific
notation with negative exponent Multiplying
and dividing numbers written in scientific notation Polynomial
arithmetic Combining like
terms: Advanced Simplifying a
polynomial expression Multiplying two
binomials Squaring a
binomial Multiplying
polynomials Degree of a
multivariate polynomial Polynomial long
division: Linear divisor Polynomial long
division: Quadratic divisor Factoring: Factoring
a quadratic with leading coefficient 1 Factoring
a quadratic with leading coefficient greater than 1 Factoring
a perfect square Factoring
a quadratic polynomial in two variables Factoring
a product of a quadratic trinomial and a monomial Factoring
a difference of squares Factoring
with repeated use of the difference of squares formula Greatest
common factor of two monomials Factoring
a multivariate polynomial by grouping: Problem type 1 Factoring
a multivariate polynomial by grouping: Problem type 2 Factoring
a sum or difference of two cubes Radicals
& rational exponents Square
roots Square
root of a rational perfect square Square
root of a perfect square monomial Square
root simplification Simplifying
a radical expression: Problem type 1 Simplifying
a radical expression: Problem type 2 Square
root addition Simplifying
a sum of radical expressions Square
root multiplication Simplifying
a product of radical expressions Simplifying
a product of radical expressions using the distributive property Rationalizing
the denominator of a radical expression Rationalizing
the denominator of a radical expression using conjugates Solving
an equation with radicals: Problem type 1 Solving
an equation with radicals: Problem type 2 Solving
an equation with radicals: Problem type 3 Pythagoras
theorem Pythagorean
Theorem Rational
exponents Cube root of an
integer Simplifying a
higher radical: Problem type 1 Simplifying
a higher radical: Problem type 2 Even
root property Solving
an equation with exponent using the even-root property Real
numbers & variables Integers
and rational numbers: Plotting
rational numbers on a number line Integer
addition: Problem type 1 Integer
addition: Problem type 2 Integer
subtraction Integer
multiplication and division Signed
fraction addition Signed
fraction multiplication
Signed
decimal addition Introduction
to exponents Evaluating
expressions with exponents: Problem type 1 Evaluating
expressions with exponents: Problem type 2 Exponents
and order of operations Square
root of a perfect square Estimating
a square root Absolute
value of a number Properties of
real numbers Integers and
rational numbers Rational and
irrational numbers Properties of
addition Properties of
real numbers Variables and
algebraic expressions Evaluation of a
linear expression in two variables Evaluation of a
polynomial in one variable Distributive
property: Basic Distributive
Property: Advanced Combining like
terms: Basic Writing a
mathematical expression Functions,
lines, systems of equations Sets, relations,
and functions: Set builder
notation Function tables Graphing integer
functions Domain and range:
Problem type 1 Vertical line
test Graphing linear
equations and inequalities Reading a point
in the coordinate plane Plotting a point
in the coordinate plane Graphing
a line given the x-and y-intercepts Graphing
a line given its equation in slope-intercept form Graphing
a line given its equation in standard form Graphing
a line through a given point with a given slope Graphing
a vertical or horizontal line Graphing
a linear inequality in the plane: Problem type 1 Graphing
a linear inequality in the plane: Problem type 2 Writing
equations and drawing graphs to fit a narrative Properties
of lines: Solutions
to a linear equation in two variables: Problem type 1 Solutions
to a linear equation in two variables: Problem type 2 Y-intercept
of a line X-and
y-intercepts of a line given the equation in standard form Finding
the slope of a line given its equation Determining
the slope of a line given its graph Writing
an equation of a line given the y-intercept and a point Writing
the equation of a line given the slope and a point on the line Writing
the equation of the line through two given points Writing
the equations of vertical and horizontal lines through a given point Application
problem with a linear function: Problem type 1 Application
problem with a linear function: Problem type 2 Slopes
of parallel and perpendicular lines: Problem type 1 Slopes
of parallel and perpendicular lines: Problem type 2 Interpreting
line graphs Interpreting
the graphs of two functions Systems
of linear equations Classifying
a system of linear equations Solving
a system of linear equations Solving
a word problem using a system of linear equations: Problem type 1 Solving
a word problem using a system of linear equations: Problem type 2 Solving
a word problem using a system of linear equations: Problem type 3 Solving
a word problem using a system of linear equations: Problem type 4 Solving
a word problem using a system of linear equations: Problem type 5 Graphing
a system of linear inequalities Simplifying
expressions multiplying
rational expressions: Problem type 1 Multiplying
rational expressions: Problem type 2 Dividing
rational expressions Complex
fraction: Problem type 1 Adding
rational expressions with common denominator Adding
rational expressions Least
common multiple of two monomials Adding
rational expressions with different denominators Adding and
subtracting rational expressions: Problem type 1 Adding
and subtracting rational expressions: Problem type 2 Simplifying
a ratio of polynomials: Problem type 1 Ratio of
multivariate polynomials Solving
equations Solving
a proportion: Basic Solving
a proportion: Advanced Restriction
on variable in a denominator Solving
a rational equation that simplifies to a linear equation: Problem type 1 Solving
a rational equation that simplifies to a linear equation: Problem type 2 Solving a
rational equation that simplifies to a linear equation: Problem type 3 Solving
a rational equation that simplifies to a quadratic equation: Problem type 1 Solving
a rational equation that simplifies to a quadratic equation: Problem type 2 Applications: Basic
word problem on rates Word
problem on rates Word
problem involving multiple rates Word
problem on proportions: Problem type 1 Word
problem on proportions: Problem type 2 Word
problem on inverse proportions Word
problem on direct variation Word
problem on inverse variation Similar
polygons Metric
distance conversion with whole number values Customary
unit conversion with whole number values Complex
numbers & quadratic equations Quadratic
equations and functions Solving equations
written in factored form Finding
the roots of a quadratic equation with leading coefficient 1 Finding
the roots of a quadratic equation with leading coefficient greater than 1 Solving
a quadratic equation needing simplification Solving
a word problem using a quadratic equation with rational roots Completing
the square Solving
a quadratic equation using the quadratic formula Discriminant
of a quadratic equation Solving
a word problem using a quadratic equation with irrational roots Graphing: Finding
the x-intercept(s) and the vertex of a parabola Graphing
a parabola: Problem type 1 Graphing
a parabola: Problem type 2 Graphing
a parabola: Problem type 3 Intermediate
Algebra Real
numbers & linear equations Real numbers Solving linear
equations Applications of
linear equations Absolute value Systems
of linear equations Solving and
graphing Applications Rational
expressions & functions Simplifying
expressions Solving equations
Applications Direct and
inverse variations Functions
& logarithms Functions Laws of
logarithms Solving equations
Graphing Graphs &
linear
functions Ordered pairs Graphing lines Equations of
lines Inequalities in
two variables Sets, Relations,
and Functions Exponents & polynomials
Integer and
rational exponents Manipulating
polynomial expressions Factoring
Radicals & quadratic
equations Radicals and
rational exponents Complex numbers Quadratic
equations Parabolas Real
numbers & linear equations Real numbers: Plotting
rational numbers on a number line Absolute
value of a number Operations
with absolute value Signed
fraction addition Signed
fraction multiplication Signed
decimal addition Evaluating
expressions with, exponents: Problem type 1 Evaluating
expressions with exponents: Problem type 2 Evaluation
of a linear expression in two variables Evaluation
of a polynomial in one variable Exponents
and order of operations Square
root of a perfect square Integers
and rational numbers Rational
and irrational numbers Writing
a mathematical expression Translating
sentences into equations Writing
an inequality Writing
a compound inequality Distributive
property: Basic Distributive
Property: Advanced Combining
like terms: Basic Combining
like terms: Advanced Properties
of addition Properties
of real numbers Solving
linear equations Additive
property of equality: Problem type 2 Additive
property of equality: Problem type 3 Multiplicative
property of equality with fractions Multiplicative
property of equality: Problem type 1 Multiplicative
property of equality: Problem type 2 Solving
a linear equation: Problem type 1 Solving
a linear equation: Problem type 2 Solving
a linear equation: Problem type 3 Solving a
linear equation with several occurrences of the variable: Problem type 1 Solving
a linear equation with several occurrences of the variable: Problem type 2 Solving
a linear equation with several occurrences of the variable: Problem type 3 Solving
a linear equation with several occurrences of the variable: Problem type 4 Solving
a linear equation with several occurrences of the variable: Problem type 5 Introduction
to algebraic symbol manipulation Algebraic
symbol manipulation Solving
a linear inequality: Problem type 1 Solving
a linear inequality: Problem type 2 Solving
a linear inequality: Problem type 3 Solving
a linear inequality: Problem type 4 Graphing
a linear inequality on the number line Graphing
a compound linear inequality on the number line Applications
of linear equations Solving
a word problem using a linear equation: Problem type 1 Solving
a word problem using a linear equation: Problem type 2 Solving
a word problem using a linear equation: Problem type 3 Solving
a word problem using a linear equation: Problem type 4 Word
problem ",1.th linear inequalities Random
samples and prediction Simple
interest Computations
from circle graphs Word
problem on percentage: Problem type 1 Word problem
on percentage: Problem type 2 Word
problem on percentage: Problem type 3 Finding
the value for a new score that will yield a given mean Perimeter
of a square or a rectangle Sides of
polygons having the same perimeter Area of
a square or a rectangle Finding
the side length of a rectangle given its perimeter or area Area and
perimeter of a rectangle Volume
of a cube or a rectangular prism Circumference
and area of a circle Area
between two concentric circles Surface
area of a cube or a rectangular prism Surface
area of a cylinder Volume
of a cylinder Rate of
filling of a solid Absolute
value Simple
absolute value equation Solving
an equation involving absolute value: Basic Solving an
equation involving absolute value: Advanced Solving
an inequality involving absolute value Solving
an inequality involving absolute value: Basic Systems
of linear equations Solving and
graphing Classifying a
system of linear equations Solving a system
of linear equations Creating an
inconsistent system of linear equations Interpreting the
graphs of two functions Graphing a system
of linear inequalities Applications: Solving
a word problem using a system of linear equations: Problem type 1 Solving
a word problem using a system of linear equations: Problem type 2 Solving
a word problem using a system of linear equations: Problem type 3 Solving
a word problem using a system of linear equations: Problem type 4 Solving a
word problem using a system of linear equations: Problem type 5 Rational
expressions & functions Simplifying
expressions Multiplying
rational expressions: Problem type 1 Multiplying
rational expressions: Problem type 2 Dividing
rational expressions Complex
fraction: Problem type 1 Complex
Fraction: Problem type 2 Adding
rational expressions with common denominator Adding
rational expressions Adding
rational expressions with different denominators Adding
and subtracting rational expressions: Problem type 1 Adding
and subtracting rational expressions: Problem type 2 Simplifying
a ratio of polynomials: Problem type 1 Simplifying
a ratio of polynomials: Problem type 2 Solving
equations Restriction
on variable in a denominator Solving a
rational equation that simplifies to a linear equation: Problem type 1 Solving
a rational equation that simplifies to a linear equation: Problem type 2 Solving
a rational equation that simplifies to a linear equation: Problem type 3 Solving
a rational equation that simplifies to a quadratic equation: Problem type 1 Solving
a rational equation that simplifies to a quadratic equation: Problem type 2 Solving
a rational equation that simplifies to a quadratic equation: Problem type 3 Applications: Word problem on
rates Basic word
problem on rates Solving a
proportion: Advanced Word problem on
proportions: Problem type 1 Word problem on
proportions: Problem type 2 Word problem
involving multiple rates Direct and
inverse variations: Ordering
fractions with variables Word problem on
inverse proportions Similar polygons Word problem on
direct variation Word problem on
inverse variation Ratio of volumes Circumference
ratios Functions
& logarithms Functions: Sum, difference,
and product of two functions Quotient
of two functions Domain
of a square root function Vertical
translation of the graph of a function Vertical
and horizontal translations of the graph of a function Horizontal
line test Inverse
functions: Basic Inverse
functions: Advanced Composition
of two functions: Domain and range Composition
of two functions: Basic Composition
of two functions: Advanced Laws of
logarithms: Exponential and
logarithmic equations Evaluating a logarithmic
expression Basic properties
of logarithms Change of base
for logarithms Solving
equations: Solving a
logarithmic equation: Problem type 1 Solving a
logarithmic equation: Problem type 2 Solving an
exponential equation: Problem type 1 Solving an
exponential equation: Problem type 2 Solving a word
problem using an exponential equation: Problem type 1 Solving a word
problem using an exponential equation: Problem type 2 Solving a word
problem using an exponential equation: Problem type 3 Graphing: Graphing a simple
cubic function Graphing an
equation involving absolute value in the plane Sketching the
graph of an exponential function: Basic Graphs &
linear
functions Ordered
pairs Reading
a point in the coordinate plane Plotting
a point in the coordinate plane Solutions
to a linear equation in two variables: Problem type 1 Solutions
to a linear equation in two variables: Problem type 2 Graphing lines Graphing a line
given the x-and y-intercepts Graphing a line
given its equation in slope-intercept form Graphing a line
given its equation in standard form Graphing a line
through a given point with a given slope Determining the
slope of a line given its graph Graphing a
vertical or horizontal line Equations of
lines X-and
y-intercepts of a line given the equation in standard form Finding the slope
of a line given its equation Writing an
equation of a line given the y-intercept and a point Writing the
equation of a line given the slope and a point on the line Writing the
equation of the line through two given points Writing the
equations of vertical and horizontal lines through a given point Writing equations
and drawing graphs to fit a narrative Application
problem with a linear function: Problem type 1 Application
problem with a linear function: Problem type 2 Slopes of
parallel and perpendicular lines: Problem type 1 Slopes of
parallel and perpendicular lines: Problem type 2 Inequalities in
two variables: Graphing a linear
inequality in the plane: Problem type 1 Graphing a linear
inequality in the plane: Problem type 2 Sets, Relations,
and Functions: Set
builder notation Union
and intersection of finite sets Set
builder and interval notation Union
and intersection of intervals Function
tables Graphing
integer functions Domain
and range: Problem type 1 Domain
and range: Problem type 2 Vertical
line test Exponents
& polynomials Integer
and rational exponents Product
rule of exponents Multiplying
monomials Quotients
of expressions involving exponents Power
rule: Positive exponents Writing
a positive number without a negative exponent Writing
a negative number without a negative exponent Power
rule: Negative exponents Product
rule of exponents in a multivariate monomial Ordering
numbers with positive exponents Ordering
numbers with negative exponents Scientific
notation with positive exponent Scientific
notation with negative exponent Multiplying
and dividing numbers Written in scientific notation Manipulating
polynomial expressions: Degree
of a multivariate polynomial Simplifying
a polynomial expression Multiplying
two binomials Squaring
a binomial Multiplying
polynomials Polynomial
long division: Linear divisor Polynomial
long division: Quadratic divisor Synthetic
division Factoring: Factoring
a quadratic with leading coefficient 1 Factoring
a quadratic with leading coefficient greater than 1 Factoring
a quadratic polynomial in two variables Factoring
a perfect square Factoring
a product of a quadratic trinomial and a monomial Finding
the roots of a quadratic equation with leading coefficient 1 Finding
the roots of a quadratic equation with leading coefficient greater than 1 Solving a
quadratic equation needing simplification Solving
equations written in factored form Roots of
a product of polynomials Solving
a word problem using a quadratic equation with rational roots Writing
a quadratic equation given the roots and the leading coefficient Factoring
a difference of squares Factoring
with repeated use of the difference of squares formula Factoring
a sum or difference of two cubes Greatest
common factor of two monomials Least
common multiple of two monomials Factoring
a multivariate polynomial by grouping: Problem type 1 Factoring
a multivariate polynomial by grouping: Problem type 2 Radicals
& quadratic equations Radicals
and rational exponents: Square
root of a rational perfect square Square
root simplification Square root
of a perfect square monomial Simplifying
a radical expression: Problem type 1 Simplifying
a radical expression: Problem type 2 Square
root addition Simplifying
a sum of radical expressions Square
root multiplication Simplifying
a product of radical expressions Simplifying
a product of radical expressions: Problem type 3 Simplifying
a product of radical expressions using the distributive property Rationalizing
the denominator of a radical expression Rationalizing
the denominator of a radical expression using conjugates Pythagorean
Theorem Solving
an equation with radicals: Problem type 1 Solving
an equation with radicals: Problem type 2 Solving
an equation with radicals: Problem type 3 Solving
an equation with radicals: Problem type 4 Cube
root of an integer Simplifying
a higher radical: Problem type 1 Simplifying
a higher radical: Problem type 2 Even
root property Odd root
property Solving
an equation with exponent using the even-root property Solving
an equation with exponent using the odd-root property Rational
exponents: Basic Rational
exponents: Negative exponents and fractional bases Rational
exponents: Powers of powers Converting
between radical form and exponent form Solving an
equation with positive rational exponent Solving
an equation with negative rational exponent Complex numbers: Adding and subtracting complex numbers Multiplying
complex numbers Dividing complex
numbers Simplifying a
power of I Quadratic equations:
Completing the
square Solving a
quadratic equation using the quadratic formula Solving a
quadratic equation with imaginary roots Discriminant of a
quadratic equation Discriminant of a
quadratic equation with parameter Solving a word problem
using a quadratic equation with irrational roots Solving a
quadratic inequality Parabolas: Graphing
a parabola: Problem type 1 Graphing
a parabola: Problem type 2 Graphing
a parabola: Problem type 3 Finding
the x-intercept(s) and the vertex of a parabola Graphing
a quadratic inequality Introduction
to Statistics Descriptive
statistics Graphical
displays Descriptive
measures Random
variables One
random variable Inferential
statistics Confidence
intervals and estimation Hypothesis tests ANOVA Goodness-of-fit
and non-parametric tests Probability Counting Events and
probability Conditional
probability Distributions Fundamental
distributions Correlation
and regression Correlation
and simple linear regression Descriptive
statistics Graphical
displays Histograms for
grouped data Frequency
polygons for grouped data Interpreting
relative frequency histograms Cumulative
distributions and ogives Box-and whisker
plots Descriptive
measures Mean, median, and
mode: Computations Percentiles Population
standard deviation Sample standard
deviation Estimating
the standard deviation of grouped data Chebyshev's
theorem and the empirical rule Mean, median,
and mode: Comparisons Random variables One
random variable: Classification
of variables and levels of measurement Inferential
statistics Confidence
intervals and estimation Selecting
a distribution for inferences on the population mean Confidence
interval for the population mean: Use of the standard normal Choosing
an appropriate sample size Confidence
interval for the population mean: Use of the t distribution Confidence
interval for a population proportion Confidence interval for the difference of
population means: Use of the standard normal Confidence
interval for the difference of population means: Use of the t distribution Confidence
interval for the difference of population proportions Hypothesis tests Determining null
and alternative hypotheses Type I and Type
II errors and power Hypothesis test
for the population mean: Z test Hypothesis test
for the population mean: t test Hypothesis test
for a population proportion Hypothesis test
for the difference of population means: Z test
Hypothesis test
for the difference of population means: Paired comparisons Hypothesis test
for the difference of population means: t test Hypothesis test
for the difference of population proportions ANOVA: ANOVA: Mean
squares and the common population variance ANOVA: Degrees of
freedom and the F statistic ANOVA: Hypothesis
tests and the ANOVA table Goodness-of-fit
and non-parametric tests Contingency
tables: Expected frequencies Chi-square goodness-of-fit
test Chi-square
test of independence Sign
test Wilcoxon
signed-ranks test Probability Counting: Probabilities of
draws with replacement Probabilities of
draws without replacement Events and
probability Venn diagrams:
Two events Venn diagrams:
Three events Venn diagrams:
Word problems Outcomes and
event probability Die rolling Probability of
intersection or union: Word problems Independent
events: Basic Probability
of union: Basic Mutually
exclusive events: Two events Mutually
exclusive events: Three events Independent
events: Two events Independent
events: Three events The
curious die Conditional
probability: Calculating
relative frequencies in a contingency table Tree
diagrams for conditional probabilities Distributions Fundamental
distributions Binomial
problems: Basic Binomial
problems: Advanced Standard
normal probabilities Standard
normal values: Basic Standard
normal values: Advanced Normal versus standard normal density curves Normal distribution raw scores Mean and
deviation of a normal distribution Normal distribution: Word problems Correlation
and regression Correlation
and simple linear regression Sketching
the least-squares regression line Linear
relationship and the sample correlation coefficient Predictions
from the least-squares regression line Computing
the sample correlation coefficient and the coefficients for the least squares
regression line Explained
and unexplained variation and the least-squares regression line Hypothesis
tests for the correlation coefficient and the slope of the least-squares
regression line |
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