Alberta Grade 9 Math Curriculum

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
  • Order of operations with 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
  • Order of operations with rational numbers
  • Evaluate variable expressions involving 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 between percents, fractions and decimals
  • Solve percent equations
  • Percent word problems
  • Percent of change
  • Percent of change: word problems

Geometry

  • Parts of a circle
  • Perimeter
  • Area
  • Area of compound figures
  • Area between two shapes
  • Circles: calculate area, circumference, radius and diameter
  • Circles: word problems
  • 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 3-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?

Coordinate graphs

  • Points on coordinate graphs
  • Quadrants and axes
  • Distance between two points

Properties

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

Exponents

  • Exponents with integer bases
  • Exponents with decimal and fractional bases
  • Negative exponents
  • Multiplication with exponents
  • Division with exponents
  • Multiplication and division with exponents
  • Power rule
  • Simplify 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
  • Write variable equations
  • Does x satisfy the equation?
  • Solve equations using order of operations

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
  • Identities and equations with no 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
  • 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
  • Complete a function table
  • Evaluate function rules I
  • Evaluate function rules II
  • Graph a function
  • Write a function rule: word problems
  • Find points on a function graph
  • Write a rule for a function table

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 slope from two points
  • Find a missing coordinate using slope
  • Slope-intercept form: find 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
  • Linear equations: solve for y
  • Linear function word problems
  • 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 from a graph
  • Point-slope form: write an equation
  • Slopes of parallel and perpendicular lines
  • Write an equation for a parallel or perpendicular line

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

Inquiry