Grade 9 Math
CONTENTS


Numbers

Classify numbers
Compare rational numbers
Put rational numbers in order
Number lines
Convert between decimals and fractions
Square roots of perfect squares
Square roots of fractions and decimals
Estimate square roots
Operations

Add, subtract, multiply and divide integers
Evaluate numerical expressions involving integers
Evaluate variable expressions involving integers
Add and subtract rational numbers
Add and subtract rational numbers: word problems
Multiply and divide rational numbers
Multiply and divide rational numbers: word problems
Evaluate numerical expressions involving rational numbers
Evaluate variable expressions involving rational numbers
Ratios, rates and proportions

Identify equivalent ratios
Write an equivalent ratio
Unit rates
Unit prices
Solve proportions
Solve proportions: word problems
Scale drawings: word problems
Percents

Convert between percents, fractions and decimals
Solve percent equations
Percent word problems
Percent of change
Percent of change: word problems
Geometry

Perimeter
Area
Area of compound figures
Area between two shapes
Symmetry
Count lines of symmetry
Draw lines of symmetry
Interior angles of polygons
Transversal of parallel lines
Volume of prisms and pyramids
Volume of cones and cylinders
Volume of spheres
Nets of three-dimensional figures
Surface area of prisms and pyramids
Surface area of cones and cylinders
Surface area of spheres
Similar figures: side lengths and angle measures
Similar triangles and indirect measurement
Area and perimeter of similar figures
Similar solids
Volume and surface area of similar solids
Perimeter, area and volume: changes in scale
Identify reflections, rotations and translations
Reflections, rotations and translations: find the coordinates
Reflections, rotations and translations: graph the image
Dilations and scale factors
Pythagorean theorem
Pythagorean theorem: word problems
Converse of the Pythagorean theorem: is it a right triangle?
Circles

Parts of a circle
Circles: calculate area, circumference, radius and diameter
Circles: word problems
Central angles
Arc measure and arc length
Area of sectors
Circle measurements: mixed review
Arcs and chords
Tangent lines
Perimeter of polygons with an inscribed circle
Inscribed angles
Angles in inscribed right triangles
Angles in inscribed quadrilaterals I
Angles in inscribed quadrilaterals II
Coordinate plane

Coordinate plane review
Quadrants and axes
Distance between two points
Properties

Properties of addition and multiplication
Distributive property
Simplify variable expressions using properties
Properties of equality
Exponents

Understanding exponents
Exponents with integer bases
Exponents with decimal and fractional bases
Negative exponents
Multiplication with exponents – integral bases
Division with exponents – integral bases
Multiplication and division with exponents – integral bases
Power rule – integral bases
Multiplication with exponents – variable bases
Division with exponents – variable bases
Multiplication and division with exponents – variable bases
Power rule – variable bases
Evaluate expressions using properties of exponents
Identify equivalent expressions involving exponents
Scientific notation

Convert between standard and scientific notation
Compare numbers written in scientific notation
Multiply numbers written in scientific notation
Divide numbers written in scientific notation
Problem solving

Word problems: mixed review
Word problems with money
Consecutive integer problems
Rate of travel: word problems
Weighted averages: word problems
Number sequences

Identify arithmetic and geometric sequences
Arithmetic sequences
Geometric sequences
Evaluate variable expressions for number sequences
Write variable expressions for arithmetic sequences
Write variable expressions for geometric sequences
Number sequences: mixed review
Variable expressions and equations

Write variable expressions
Simplify variable expressions involving like terms and the distributive property
Identify equivalent linear expressions
Write variable equations
Does x satisfy the equation?
Solve equations using order of operations
Rearrange multi-variable equations
Solve equations

Model and solve equations using algebra tiles
Write and solve equations that represent diagrams
Solve one-step linear equations
Solve two-step linear equations
Solve advanced linear equations
Solve equations with variables on both sides
Solve equations: complete the solution
Find the number of solutions
Create equations with no solutions or infinitely many solutions
Solve linear equations: word problems
Solve linear equations: mixed review
Single-variable inequalities

Graph inequalities
Write inequalities from graphs
Identify solutions to inequalities
Solve one-step linear inequalities: addition and subtraction
Solve one-step linear inequalities: multiplication and division
Solve one-step linear inequalities
Graph solutions to one-step linear inequalities
Solve two-step linear inequalities
Graph solutions to two-step linear inequalities
Solve advanced linear inequalities
Graph solutions to advanced linear inequalities
Data and graphs

Interpret bar graphs, line graphs and histograms
Create bar graphs, line graphs and histograms
Interpret circle graphs
Interpret stem-and-leaf plots
Interpret box-and-whisker plots
Interpret a scatter plot
Scatter plots: line of best fit
Relations and functions

Relations: convert between tables, graphs, mappings and lists of points
Identify independent and dependent variables
Identify functions
Identify functions: vertical line test
Find values using function graphs
Evaluate a function
Evaluate a function: plug in an expression
Complete a function table from a graph
Complete a function table from an equation
Interpret the graph of a function: word problems
Direct variation

Identify proportional relationships
Find the constant of variation
Graph a proportional relationship
Write direct variation equations
Write and solve direct variation equations
Linear functions

Identify linear functions
Find the slope of a graph
Find the slope from two points
Find a missing coordinate using slope
Slope-intercept form: find the slope and y-intercept
Slope-intercept form: graph an equation
Slope-intercept form: write an equation from a graph
Slope-intercept form: write an equation
Slope-intercept form: write an equation from a table
Slope-intercept form: write an equation from a word problem
Linear equations: solve for y
Write linear functions to solve word problems
Complete a table and graph a linear function
Compare linear functions: graphs, tables and equations
Write equations in standard form
Standard form: find x- and y-intercepts
Standard form: graph an equation
Equations of horizontal and vertical lines
Graph a horizontal or vertical line
Point-slope form: graph an equation
Point-slope form: write an equation
Point-slope form: write an equation from a graph
Slopes of parallel and perpendicular lines
Write an equation for a parallel or perpendicular line
Transformations of linear functions
Systems of linear equations

Is (x, y) a solution to the system of equations?
Solve a system of equations by graphing
Solve a system of equations by graphing: word problems
Find the number of solutions to a system of equations by graphing
Monomials

Identify monomials
Multiply monomials
Multiply monomials to find area
Divide monomials
Multiply and divide monomials
Powers of monomials
Polynomials

Polynomial vocabulary
Model polynomials with algebra tiles
Add and subtract polynomials using algebra tiles
Add and subtract polynomials
Add polynomials to find perimeter
Multiply a polynomial by a monomial
Multiply polynomials to find area
Divide a polynomial by a monomial
Logic

Identify hypotheses and conclusions
Counterexamples
Probability

Theoretical probability
Experimental probability
Compound events: find the number of outcomes
Identify independent and dependent events
Probability of independent and dependent events
Statistics

Calculate mean, median, mode and range
Interpret charts to find mean, median, mode and range
Mean, median, mode and range: find the missing number
Quartiles
Identify biased samples