Topic

Small Steps (Sparx Reference)

Deepen Knowledge

Number Sense

Using number lines (M763)

Integer place value (M704)

Decimal place value (M522)

Ordering negative numbers (M527)

Rounding integers (M111)

Rounding decimals (M431)

Solving complex fluency and reasoning problems

Interpreting real-life contexts including measurements and temperatures

Constructing numbers and calculations given specified criteria

Adding and Subtracting

Adding integers (M928)

Adding decimals (M429)

Subtracting integers (M347)

Subtracting decimals (M152)

Finding missing digits in calculations

Solving complex fluency and reasoning problems

Interpreting real-life contexts including money and measures

Using the inverse relationship between addition and subtraction Solving cross-topic questions

Multiplying

Multiplying and dividing by 10, 100 and 1000 (M113)

Multiplying using place value (M911)

Using a written method to multiply integers (M187)

Using a written method to multiply decimals (M803)

Solving complex fluency and reasoning problems

Using the inverse relationship between multiplication and division

Using one calculation to perform a related calculation

Interpreting real-life contexts including money and measures

Solving cross-topic questions

Dividing

Dividing numbers into equal groups (M462)

Using a written method to divide integers (M354)

Dividing with a remainder (M873)

Using a written method to divide with decimals (M262)

Finding missing numbers in calculations

Using one calculation to perform a related calculation

Interpreting real-life contexts, including money and measures

Writing divisions as fractions

Calculating with Negative Numbers

Adding and subtracting with negative numbers (M106)

Multiplying and dividing with negative numbers (M288)

Calculating with repeated operations, larger integers and decimals

Finding missing numbers in calculations

Solving complex fluency and reasoning problems

Solving cross-topic questions

Order of Operations

Calculating with roots and powers (M135)

Using the correct order of operations (M521)

Using the commutative laws (M952)

Calculating with decimals and negative numbers

Solving complex fluency and reasoning problems

Filling in missing numbers or operations in calculations

Expressions

Algebraic notation (M813)

Algebraic terminology (M830)

Simplifying expressions containing a single variable (M795)

Simplifying expressions containing multiple variables (M531)

Simplifying expressions containing non-linear terms (M949)

Simplifying expressions with negative coefficients and non-linear terms

Simplifying expressions where terms cancel

Simplifying expressions by recognising that ab = ba

Recognising when an expression is fully simplified

Simplifying expressions in a range of cross-topic applications

Substitution

Substituting into expressions with one operation (M417)

Substituting into expressions with multiple operations (M327)

Substituting into algebraic formulae (M208)

Substituting into real-life formulae (M979)

Substituting negative numbers and decimals into expressions with brackets and indices

Substituting into expressions with unfamiliar variables, such as greek letters

Solving complex fluency and reasoning problems

Performing successive substitutions

Substituting expressions into expressions

Solving Equation

Solving equations with one step (M707)

Solving equations with two or more steps (M509)

Solving equations with decimals and negative numbers

Solving equations that require substitution or simplification

Using knowledge of square roots to solve equations with squared terms

Solving one equation and using the result to solve another

Time

Converting units of time (M515)

Using clocks (M892)

Calculating with time (M627)

Using timetables (M963)

Using calendars (M747)

Solving problems involving digital and analogue clocks

Applying knowledge of the 12 and 24 hour clock to solve problems

Solving problems involving time differences and leap years

Measures

Estimating and measuring length, mass and capacity (M828)

Converting units of length, mass and capacity (M774)

Solving complex fluency and reasoning problems involving scales