Number theory

• Factors
• Divisibility rules
• Prime or composite
• Prime factorization
• Greatest common factor
• Least common multiple
• GCF and LCM: word problems
• Classify numbers

Integers

• Integers on number lines
• Graph integers on number lines
• Absolute value and opposite integers
• Compare and order integers
• Integer inequalities with absolute values

Operations with integers

• Integer addition and subtraction rules
• Add and subtract integers using counters
• Add and subtract three or more integers
• Add and subtract integers: word problems
• Integer multiplication and division rules
• Multiply and divide integers
• Simplify expressions involving integers and absolute values
• Evaluate variable expressions with integers and absolute values

Rational numbers

• Identify rational and irrational numbers
• Simplify fractions
• Least common denominator
• Round decimals and mixed numbers
• Absolute value of rational numbers
• Convert between decimals and fractions or mixed numbers
• Compare rational numbers
• Put rational numbers in order

Operations with rational numbers

• Reciprocals and multiplicative inverses
• Add and subtract rational numbers
• Add and subtract rational numbers: word problems
• Apply addition and subtraction rules
• Multiply and divide rational numbers
• Multiply and divide rational numbers: word problems
• Apply multiplication and division rules
• Apply addition, subtraction, multiplication and division rules
• Simplify expressions involving rational numbers
• Evaluate variable expressions involving rational numbers

Exponents and roots

• Understanding exponents
• Evaluate exponents
• Exponents: solve for the variable
• Exponents with negative bases
• Exponents with decimal and fractional bases
• Square roots of perfect squares
• Estimate square roots
• Relationship between squares and square roots
• Evaluate variable expressions involving squares and square roots

Scientific notation

• Convert between standard and scientific notation
• Compare numbers written in scientific notation

Ratios and proportions

• Understanding ratios
• Equivalent ratios
• Equivalent ratios: word problems
• Compare ratios: word problems
• Unit rates
• Do the ratios form a proportion?
• Do the ratios form a proportion: word problems
• Solve proportions
• Solve proportions: word problems
• Estimate population size using proportions
• Rate of change
• Constant rate of change
• Scale drawings and scale factors

Proportional relationships

• Identify proportional relationships
• Find the constant of variation: graphs
• Find the constant of variation: word problems
• Graph a proportional relationship
• Write an equation for a proportional relationship
• Proportional relationships: word problems

Percents

• Convert between percents, fractions and decimals
• Compare percents to fractions and decimals
• Find what percent one number is of another
• Find what percent one number is of another: word problems
• Estimate percents of numbers
• Percents of numbers and money amounts
• Percents of numbers: word problems
• Compare percents of numbers
• Solve percent equations
• Percent of change
• Percent of change: word problems

Consumer math

• Price lists
• Unit prices
• Unit prices: find the total price
• Percent of a number: tax, discount and more
• Find the percent: tax, discount and more
• Sale prices: find the original price
• Multi-step problems with percents
• Estimate tips
• Simple interest
• Compound interest

Problem solving

• Multi-step word problems
• Guess-and-check word problems
• Use Venn diagrams to solve problems
• Elapsed time word problems

Data and graphs

• Interpret tables
• Interpret bar graphs
• Create bar graphs
• Interpret line graphs
• Create line graphs
• Interpret line plots
• Create line plots
• Create and interpret line plots with fractions
• Interpret stem-and-leaf plots
• Interpret histograms
• Create histograms
• Create frequency charts
• Interpret box-and-whisker plots
• Scatter plots
• Interpret circle graphs
• Circle graphs and central angles
• Choose the best type of graph

Pythagorean theorem

• Pythagorean theorem: find the length of the hypotenuse
• Pythagorean theorem: find the missing leg length
• Pythagorean theorem: find the perimeter
• Pythagorean theorem: word problems
• Converse of the Pythagorean theorem: is it a right triangle?

Coordinate graphs

• Points on coordinate graphs
• Coordinate graphs as maps
• Distance between two points

Geometry

• Identify complementary, supplementary, vertical, adjacent and congruent angles
• Find measures of complementary, supplementary, vertical and adjacent angles
• Transversal of parallel lines
• Classify triangles
• Find missing angles in triangles and quadrilaterals
• Identify and classify polygons
• Interior angles of polygons
• Similar and congruent figures
• Similar figures: side lengths and angle measures
• Congruent figures: side lengths and angle measures
• Congruence statements and corresponding parts
• Perimeter
• Area
• Area between two shapes
• Area and perimeter: word problems
• Parts of a circle
• Circles, semicircles and quarter circles
• Circles: word problems
• Find lengths and measures of bisected lines and angles
• Front, side and top view
• Base plans
• Names and parts of 3-dimensional figures
• Nets of 3-dimensional figures
• Surface area of prisms and cylinders
• Surface area of pyramids
• Volume
• Similar solids
• Volume and surface area of similar solids
• Perimeter, area and volume: changes in scale

Transformations

• Identify reflections, rotations and translations
• Translations: graph the image
• Translations: find the coordinates
• Reflections: graph the image
• Reflections: find the coordinates
• Rotations: graph the image
• Rotations: find the coordinates
• Dilations: graph the image
• Dilations: find the coordinates
• Dilations: scale factor and classification
• Symmetry

Measurement

• Convert rates and measurements: metric units
• Metric mixed units
• Convert square and cubic units of length
• Convert between cubic metres and litres
• Precision

Number sequences

• Identify arithmetic and geometric sequences
• Arithmetic sequences
• Geometric sequences
• Number sequences: mixed review
• Number sequences: word problems
• Evaluate variable expressions for number sequences
• Write variable expressions for arithmetic sequences

Variable expressions

• Write variable expressions
• Write variable expressions to represent diagrams
• Identify terms and coefficients
• Evaluate single-variable expressions
• Evaluate multi-variable expressions
• Add and subtract like terms
• Simplify variable expressions

Single-variable equations

• Does x satisfy the equation?
• 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 equations involving squares and square roots
• Solve equations involving like terms

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
• Graph a line from a function table
• Graph a line from an equation
• Linear function word problems

Properties

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

Probability

• Probability of simple events
• Probability of opposite, mutually exclusive and overlapping events
• Experimental probability
• Make predictions
• Compound events: find the number of outcomes
• Counting principle

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
• Changes in mean, median, mode and range
• Quartiles
• Identify representative, random and biased samples