Math Level 6

Unit 0 — Number and operations

• Find the greatest common factor of two numbers

Unit 0 — Number and operations

• Understand fraction equivalence
• Recognise equivalent fractions
• Generate equivalent fractions
• Find a missing numerator or denominator
• Simplify a fraction
• Represent equivalence with a visual model
• Represent equivalence on a number line
• Explain why two fractions are equivalent
• Use equivalence to compare fractions
• Apply equivalence in context
• Compare fractions with the same denominator
• Compare fractions with the same numerator
• Compare fractions to a benchmark
• Order a set of fractions
• Compare fractions by position on a number line
• Compare fractions greater than one, and mixed numbers
• Justify a comparison
• Compare fractions in context

Unit 0 — Number and operations

• Read and write decimals to thousandths
• Compare and order decimals
• Round decimals
• Convert between fractions and decimals
• Add and subtract decimals
• Multiply decimals
• Divide decimals

Unit 2 — Number and operations

• Understand negative numbers in context
• Place integers on a number line
• Compare and order integers
• Understand absolute value

Unit 2 — Number and operations

• Recognise fractions, decimals and integers as one number system
• Compare rational numbers across forms
• Interpret rational numbers in context
• Plot and read points in all four quadrants
• Reflect points across the axes
• Find distance between points on a grid line

Unit 1 — Number and operations

• Identify the quantities being compared
• Understand a ratio as a multiplicative comparison
• Write a part-to-part ratio
• Write a part-to-whole ratio
• Write a ratio in words, with a colon, and as a fraction
• Interpret ratio language
• Preserve the order of a ratio
• Explain a ratio in context

Unit 1 — Number and operations

• Recognise equivalent ratios
• Generate equivalent ratios
• Scale a ratio up
• Scale a ratio down
• Identify the scale factor
• Tell additive and multiplicative patterns apart
• Solve missing-value ratio problems
• Explain why two ratios are equivalent

Unit 1 — Number and operations

• Understand the structure of a ratio table
• Identify equivalent pairs within a table
• Generate rows by scaling
• Complete missing values in a table
• Determine the scale relationship between rows
• Move between a table, a diagram and words
• Solve contextual problems with a ratio table
• Compare strategies for completing a table
• Explain the multiplicative relationship in a table

Unit 1 — Number and operations

• Tell a rate from a ratio
• Identify the quantities and their units
• Interpret what a rate relationship describes
• Write a rate in several forms
• Use rate language
• Understand the units in a rate
• Interpret a rate in context
• Explain the meaning of a rate

Unit 1 — Number and operations

• Understand what 'per one' means
• Identify which quantity becomes one
• Find a unit rate by scaling
• Find a unit rate by dividing
• Express a unit rate with its units
• Interpret a unit rate in context
• Compare unit rates
• Choose how to find a unit rate
• Explain unit-rate reasoning

Unit 1 — Number and operations

• Identify the relationship in a situation
• Select a representation
• Solve ratio application problems
• Solve rate application problems
• Solve unit-rate comparison problems
• Solve multi-step ratio problems
• Interpret the answer in context
• Check whether an answer is reasonable
• Explain the strategy and the reasoning

Unit 2 — Number and operations

• Interpret what fraction division asks
• Model fraction division with a diagram
• Divide a whole number by a fraction
• Divide a fraction by a whole number
• Divide a fraction by a fraction
• Interpret fraction division in context

Unit 3 — Algebra

• Identify a variable
• Identify the terms of an expression
• Identify coefficients and constants
• Write an algebraic expression
• Translate words into an expression
• Interpret an expression in context

Unit 3 — Algebra

• Substitute a value into an expression
• Evaluate a numerical expression
• Apply the order of operations with exponents
• Evaluate an algebraic expression

Unit 3 — Algebra

• Apply the distributive property
• Identify equivalent expressions
• Factor out a common factor
• Simplify by combining like terms

Unit 3 — Algebra

• Decide whether a value is a solution
• Solve addition and subtraction equations
• Solve multiplication and division equations
• Check a solution
• Model a situation with an equation

Unit 3 — Algebra

• Interpret an inequality
• Write an inequality
• Solve a simple inequality
• Represent an inequality on a number line
• Model a real constraint with an inequality

Unit 1 — Number and operations

• Understand percent as a rate per hundred
• Convert between percents, fractions and decimals
• Find a percent of a quantity
• Find the whole given a part and a percent

Unit 1 — Modelling

• Use percent in real situations

Unit 1 — Algebra

• Recognise a proportional relationship in a table
• Graph a proportional relationship
• Connect table, graph and equation
• Convert measurement units using ratios

Unit 4 — Geometry

• Find the area of a rectangle
• Find the area of a triangle
• Find the area of a parallelogram
• Decompose a composite figure
• Solve a contextual area problem

Unit 4 — Geometry

• Interpret a net
• Find the surface area of a rectangular prism
• Find the surface area of a triangular prism
• Solve a contextual surface-area problem

Unit 4 — Geometry

• Understand volume as filling
• Find the volume of a rectangular prism
• Find volume with fractional edge lengths
• Solve a real-world volume problem

Unit 5 — Data and statistics

• Distinguish a statistical question
• Identify the population
• Identify the variable being measured
• Interpret a data set

Unit 5 — Data and statistics

• Create a dot plot
• Interpret a histogram
• Interpret a box plot
• Describe the centre of a distribution
• Describe the spread of a distribution
• Describe the shape of a distribution

Unit 5 — Data and statistics

• Calculate the mean
• Determine the median
• Choose between mean and median
• Calculate the range
• Calculate the mean absolute deviation
• Compare the variability of two data sets

Unit 6 — Modelling

• Break a problem into steps
• Select the operations
• Track intermediate results
• Check reasonableness across a multi-step problem

Unit 6 — Modelling

• Explain your reasoning
• Justify a solution
• Analyse an incorrect solution
• Communicate with representations