Whole numbers

• Place values in whole numbers
• Word names for numbers
• Roman numerals

Decimal numbers

• What decimal number is illustrated?
• Decimal place values
• Word names for decimal numbers
• Put decimal numbers in order
• Inequalities with decimals
• Round decimals
• Round whole numbers and decimals: find the missing digit
• Decimal number lines

Integers

• Understanding integers
• Integers on number lines
• Graph integers on number lines
• Compare and order integers

Exponents

• Write multiplication expressions using exponents
• Evaluate exponents
• Exponents: solve for the variable
• Exponents with decimal bases

Money

• Find the number of each type of coin
• Add and subtract money amounts
• Add and subtract money amounts: word problems
• Multiply money by whole numbers
• Multiply money: word problems
• Divide money amounts
• Divide money amounts: word problems

Addition and subtraction

• Add and subtract whole numbers up to millions
• Add and subtract whole numbers: word problems
• Properties of addition
• Estimate sums and differences of whole numbers
• Estimate sums and differences: word problems
• Add and subtract decimal numbers
• Add and subtract decimals: word problems
• Estimate sums and differences of decimals
• Maps with decimal distances

Multiplication

• Multiply whole numbers
• Multiply whole numbers: word problems
• Multiply numbers ending in zeroes
• Multiply numbers ending in zeroes: word problems
• Multiply three or more numbers
• Multiply three or more numbers: word problems
• Estimate products
• Properties of multiplication
• Solve for a variable using properties of multiplication

Division

• Divisibility rules
• Divide by two-digit numbers
• Divide by two-digit numbers: word problems
• Division patterns with zeroes
• Divide numbers ending in zeroes: word problems
• Estimate quotients

Multiply and divide decimals

• Multiply a decimal by a one-digit whole number
• Multiply a decimal by a multi-digit whole number
• Multiply decimals and whole numbers: word problems
• Multiply two decimals using grids
• Multiply decimals
• Estimate products of decimal numbers
• Inequalities with decimal multiplication
• Divide decimals by whole numbers
• Divide decimals by whole numbers: word problems
• Multiply and divide decimals by powers of ten
• Division with decimal quotients
• Inequalities with decimal division
• Simplify expressions involving decimals

Problem solving and estimation

• Estimate to solve word problems
• Word problems with multiple steps or extra or missing information
• Guess-and-check word problems
• Distance/direction to starting point
• Use logical reasoning to find the order

Time

• Elapsed time
• Time units
• Find start and end times
• Convert between 12-hour and 24-hour time

Measurement

• Estimate metric measurements
• Convert and compare metric units
• Metric mixed units
• Convert square and cubic units of length
• Convert between cubic metres and litres
• Working with temperatures above and below zero

Number theory

• Prime or composite
• Identify factors
• Prime factorization
• Prime factorization with exponents
• Greatest common factor
• Least common multiple
• GCF and LCM: word problems

Algebra

• Write variable expressions to represent word problems
• Simplify expressions
• Evaluate variable expressions with whole numbers
• Solve word problems involving two-variable equations
• Evaluate variable expressions involving decimals
• Solve one-step equations with whole numbers
• Solve one-step equations involving decimals
• Evaluate multi-variable expressions
• Complete a function table
• Write linear functions
• Does (x, y) satisfy an equation?
• Identify terms, coefficients and monomials

Coordinate graphs

• Coordinate graphs review
• Graph points on a coordinate plane
• Coordinate graphs as maps
• Relative coordinates

Data and graphs

• Interpret pictographs
• Create pictographs
• Stem-and-leaf plots
• Interpret line plots
• Create line plots
• Create and interpret line plots with fractions
• Create frequency tables
• Interpret bar graphs
• Create bar graphs
• Interpret double bar graphs
• Create double bar graphs
• Create histograms
• Circle graphs with fractions
• Interpret line graphs
• Create line graphs
• Interpret double line graphs
• Create double line graphs
• Choose the best type of graph

Fractions and mixed numbers

• Fractions and mixed numbers review
• Equivalent fractions review
• Simplify fractions
• Understanding fractions: word problems
• Least common denominator
• Compare fractions with like and unlike denominators
• Compare fractions: word problems
• Convert between improper fractions and mixed numbers
• Convert between decimals and fractions or mixed numbers
• Put a mix of decimals, fractions and mixed numbers in order

Rational numbers

• Compare rational numbers
• Put rational numbers in order

Add and subtract fractions

• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Inequalities with addition and subtraction of like fractions
• Add and subtract mixed numbers with like denominators
• Add and subtract mixed numbers with like denominators: word problems
• Estimate sums and differences of mixed numbers

Multiply fractions

• Fractions of whole numbers I
• Fractions of whole numbers II
• Fractions of a number: word problems
• Estimate products of fractions and whole numbers

Ratios, proportions and percents

• Write a ratio to describe objects in a picture
• Ratio tables
• Ratios: word problems
• Equivalent ratios
• Compare ratios: word problems
• Proportions
• Unit rates and equivalent rates
• Scale drawings
• What percentage is illustrated?
• Convert between percents, fractions and decimals
• Compare percents to each other and to fractions
• Compare percents and fractions: word problems
• Percents of numbers and money amounts
• Percents of numbers: word problems
• Find what percent one number is of another
• Find what percent one number is of another: word problems

Consumer math

• Sale prices
• Which is the better coupon?
• Unit prices: which is the better buy?
• Unit prices with fractions and decimals
• Percents – calculate tax, tip, mark-up and more
• Simple interest

Mixed operations

• Add, subtract, multiply and divide whole numbers
• Add, subtract, multiply and divide whole numbers: word problems
• Add, subtract, multiply and divide decimals
• Add, subtract, multiply and divide decimals: word problems
• Add, subtract and multiply fractions
• Add, subtract and multiply fractions: word problems

Geometry

• Review of 2- and 3-dimensional figures
• Angle review: measure and classify
• Estimate angle measurements
• Name angles
• Triangle review
• Classify quadrilaterals
• Find missing angles and side lengths in triangles and quadrilaterals
• Sums of angles in polygons
• Parts of a circle
• Similar and congruent figures
• Find side lengths of similar figures
• Reflection, rotation and translation
• Translations: graph the image
• Reflections: graph the image
• Rotations: graph the image
• Symmetry
• Perimeter
• Area of squares and rectangles
• Area of triangles
• Area of parallelograms and trapezoids
• Area of compound figures
• Area between two rectangles
• Area and perimeter of irregular figures
• Area and perimeter: word problems
• Rectangles: relationship between perimeter and area
• Compare area and perimeter of two figures
• Identify polyhedra and count faces, edges and vertices
• Which figure is being described?
• Front, side and top view
• Nets of 3-dimensional figures
• Volume and surface area of cubes and rectangular prisms
• Volume and surface area of triangular prisms

Probability

• Combinations
• Probability of one event
• Make predictions
• Probability of opposite, mutually exclusive and overlapping events
• Compound events – find the number of outcomes by counting

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
• Identify representative, random and biased samples