Number theory

• Prime or composite
• Prime factorization
• Multiplicative inverses
• Divisibility rules
• Greatest common factor
• Least common multiple
• GCF and LCM: word problems
• Scientific notation
• Compare numbers written in scientific notation
• Classify numbers

Decimal numbers

• Decimal numbers review
• Compare and order decimals
• Decimal number lines
• Round decimals

Operations with decimals

• Add and subtract decimals
• Add and subtract decimals: word problems
• Multiply decimals
• Multiply decimals and whole numbers: word problems
• Divide decimals
• Divide decimals by whole numbers: word problems
• Estimate sums, differences and products of decimals
• Add, subtract, multiply and divide decimals: word problems
• Multi-step inequalities with decimals
• Maps with decimal distances
• Simplify expressions involving decimals

Integers

• Understanding 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 integers
• Complete addition and subtraction sentences with integers
• Add and subtract integers: word problems
• Integer multiplication and division rules
• Multiply and divide integers
• Complete multiplication and division sentences with integers
• Simplify expressions involving integers

Fractions and mixed numbers

• Equivalent fractions
• Simplify fractions
• Understanding fractions
• Least common denominator
• Compare and order fractions
• Compare fractions: word problems
• Convert between mixed numbers and improper fractions
• Compare mixed numbers and improper fractions
• Round mixed numbers

Operations with fractions

• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Add fractions with unlike denominators
• Subtract fractions with unlike denominators
• Add and subtract fractions with unlike denominators: word problems
• Add and subtract mixed numbers
• Add and subtract mixed numbers: word problems
• Inequalities with addition and subtraction of fractions and mixed numbers
• Estimate sums and differences of mixed numbers
• Multiply fractions and whole numbers
• Multiply fractions and whole numbers: word problems
• Multiply two fractions using models
• Multiply fractions
• Multiply fractions: word problems
• Multiply three or more fractions and whole numbers
• Divide whole numbers by unit fractions using models
• Reciprocals
• Divide whole numbers and unit fractions
• Divide fractions
• Divide fractions: word problems
• Estimate products and quotients of fractions and mixed numbers
• Add, subtract, multiply and divide fractions and mixed numbers: word problems

Rational numbers

• Identify rational numbers
• Convert between decimals and fractions or mixed numbers
• Absolute value of rational numbers
• Compare rational numbers
• Put rational numbers in order
• Add and subtract rational numbers
• Apply addition and subtraction rules
• Multiply and divide rational numbers
• Apply multiplication and division rules

Exponents and square roots

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

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

Percents

• What percentage is illustrated?
• Convert between percents, fractions and decimals
• Compare percents to fractions and decimals
• Estimate percents of numbers
• Percents of numbers and money amounts
• Percents of numbers: word problems
• Solve percent equations
• Solve percent equations: word problems

Problem solving and estimation

• Estimate to solve word problems
• Multi-step word problems
• Guess-and-check word problems
• Use Venn diagrams to solve problems
• Find the number of each type of coin
• Elapsed time word problems

Consumer math

• Add, subtract, multiply and divide money amounts: word problems
• 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

Data and graphs

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

Geometry

• Lines, line segments and rays
• Parallel, perpendicular, intersecting
• Construct the midpoint or perpendicular bisector of a segment
• Construct a perpendicular line
• Name, measure and classify angles
• Identify complementary, supplementary, vertical, adjacent and congruent angles
• Find measures of complementary, supplementary, vertical and adjacent angles
• Construct an angle bisector
• Construct a congruent angle
• Transversal of parallel lines
• Construct parallel lines
• Classify triangles
• Classify quadrilaterals
• Find missing angles in triangles and quadrilaterals
• Identify and classify polygons
• Interior angles of polygons
• Construct an equilateral triangle or regular hexagon
• Similar and congruent figures
• Similar figures: side lengths and angle measures
• Similar figures and indirect measurement
• Congruent figures: side lengths and angle measures
• Congruence statements and corresponding parts
• Perimeter
• Area of rectangles and parallelograms
• Area of triangles and trapezoids
• Area with mixed numbers
• Area and perimeter: word problems
• Parts of a circle
• Circles: calculate area, circumference, radius and diameter
• Circles: word problems
• Find lengths and measures of bisected lines and angles
• Front, side and top view
• Names and bases of 3-dimensional figures
• Nets of 3-dimensional figures
• Surface area
• Volume
• Perimeter, area and volume: changes in scale
• Semicircles: calculate area, perimeter, radius and diameter
• Quarter circles: calculate area, perimeter and radius
• Area of compound figures with triangles, semicircles and quarter circles
• Area between two shapes

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
• Symmetry

Coordinate graphs

• Points on coordinate graphs
• Quadrants and axes
• Coordinate graphs as maps

Measurement

• Estimate metric measurements
• Compare and convert 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
• Evaluate single-variable expressions I
• Evaluate single-variable expressions II
• Evaluate multi-variable expressions
• Evaluate variable expressions for numerators and denominators
• Add and subtract like terms

Single-variable equations

• Does x satisfy the equation?
• Model and solve equations using algebra tiles
• Solve one-step linear equations
• Solve two-step linear equations
• Solve equations involving like terms

Linear functions

• Identify proportional relationships
• Find the constant of variation
• Does (x, y) satisfy the 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
• Solve equations using properties

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
• Identify representative, random and biased samples