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Resources for Grade nine

Numbers

How to compare and order rational numbers

How to convert between decimals and fractions

How to calculate square roots

How to calculate cube roots

How to determine absolute values and opposites

Operations

How to add, subtract, multiply and divide integers

How to add, subtract, multiply and divide rational numbers

What is the order of operations with integers

What is the order of operations with rational numbers

How to evaluate variable expressions involving rational numbers or integers

Ratios and proportions

How to identify equivalent ratios

How to solve proportions

Percents

How to convert between percents, fractions and decimals

How to solve percent equations

Measurement

Convert rates and measurements for metric and customary units

What is the percent error

How to determine the greatest possible error

Geometry

How to determine perimeters, areas and volumes

How to identify similar figures

How to master the Pythagorean theorem

How to determine areas, perimeters and volumes of similar figures

How to determine the area between two shapes

Variable expressions and equations

How to write variable expressions

How to write variable equations

How to solve equations using order of operations

How to write and solve equations that represent diagrams

How to solve a one-step or a two-step linear equation

How to solve equations with variables on both sides

How to solve advanced linear equations

Single-variable inequalities

How to graph inequalities

How to write inequalities from graphs

How to solve one-step linear inequalities

How to graph solutions to one-step linear inequalities

How to solve two-steps linear inequalities

How to graph solutions to one-step linear inequalities

How to graph compound inequalities

How to write compound inequalities from graphs

How to solve compound inequalities

How to graph solutions to compound inequalities

Absolute value equations and inequalities

How to solve absolute value equations and graph their solutions

How to solve absolute value inequalities and graph their solutions

Matrix

What are the different matrix operation rules

How to add and subtract matrices

How to multiply a matrix by a scalar

How to multiply two matrices

Data and graphs

How to create and interpret line graphs, bar graphs and histograms

How to interpret box-and-whisker plots

How to interpret stem-and-leaf plots

How to interpret scatter plots

Number sequences

How to identify arithmetic and geometric sequences

How to write variable expressions for geometric sequences

How to write variable expressions for arithmetic sequences

How to evaluate variable expressions for number sequences

Relations and functions

How to determine the domain and the range of a relation

How to identify functions

How to identify independent and dependent variables

How to graph a function

How to evaluate and write function rules

How to find points on a function graph

Direct and inverse variation

How to graph a proportional relationship

How to write and solve direct variation equations

How to identify direct variation and inverse variation

How to write and solve inverse variation equations

Linear functions

How to identify linear functions

How to find the slope of a graph

What is the slope-intercept form

How to find a slope from two points

How to compare linear functions

How to graph a vertical or horizontal line

What is the standard form

What is the point-slope form

How to determine slopes of parallel and perpendicular lines

How to write an equation for a parallel or perpendicular line

How to write equations in standard form

Linear inequalities

How to graph a linear inequality in the coordinate plane

How to solve a system of linear inequalities by graphing

Systems of linear equations

How to solve a system of equations by graphing

How to determine the number of solutions to a system of equations by graphing

How to classify a system of equations

How to solve a system of equations using substitution

How to solve a system of equations using elimination

How to solve a system of equations using augmented matrices

Exponents

How to calculate exponents with fractional or decimal bases

How to calculate negative exponents

How to do multiplication and division of exponents

How to simplify expressions involving exponents

How to evaluate integers raised to rational exponents

Scientific notation

How to convert between standard and scientific notation

How to compare, multiply and divide numbers written in scientific notation

Exponential functions

How to evaluate an exponential function

How to match exponential functions and graphs

Monomials

How to identify and compare monomials

How to multiply and divide monomials

Polynomials

How to add and subtract polynomials

How to multiply a polynomial by a monomial

How to multiply two binomials

How to multiply polynomials

Factoring

How to determine the GCF of monomials

How to factor polynomials

How to factor quadratics

Quadratic equations

What are the characteristics of quadratic functions

How to solve a quadratic equation by using square roots

How to solve a quadratic equation by factoring

How to solve a quadratic equation using the quadratic formula

How to solve a quadratic equation using determinant

Absolute value functions

Domain and range of absolute value functions

How to graph absolute value functions

Radical functions and expressions

How to simplify radical expressions

How to add, subtract and multiply and divide radical expressions

How to evaluate radical functions

How to determine domains and ranges of radical functions

How to solve radical equations

Trigonometry

How to determine trigonometric ratios sin, cos and tan

How to determine the inverses of trigonometric functions

Probability

How to calculate permutations, combinations and factorials

What is the difference between theoretical and experimental probability

How to identify independent and dependent events

How to find the number of outcomes of compound events

Statistics

How to determine median, mean, range and mode

How to identify an outlier

How to identify biased samples

How to determine variance and standard deviation

What is a quartile