Grade 6: What your child will learn and should know by the end of the year

Number and Algebra

Number and place value

Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122 – Scootle )

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123 – Scootle )

Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124 – Scootle )

Fractions and decimals

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125 – Scootle )

Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126 – Scootle )

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127 – Scootle )

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128 – Scootle )

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129 – Scootle )

Multiply and divide decimals by powers of 10 (ACMNA130 – Scootle )

Make connections between equivalent fractions, decimals and percentages (ACMNA131 – Scootle )

Money and financial mathematics

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132 – Scootle )

Patterns and algebra

Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence (ACMNA133 – Scootle )

Explore the use of brackets and order of operations to write number sentences (ACMNA134 – Scootle )

Measurement and Geometry

Using units of measurement

Connect decimal representations to the metric system (ACMMG135 – Scootle )

Convert between common metric units of length, mass and capacity (ACMMG136 – Scootle )

Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137 – Scootle )

Connect volume and capacity and their units of measurement (ACMMG138 – Scootle )

Interpret and use timetables (ACMMG139 – Scootle )

Shape

Construct simple prisms and pyramids (ACMMG140 – Scootle )

Location and transformation

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142 – Scootle )

Introduce the Cartesian coordinate system using all four quadrants (ACMMG143 – Scootle )

Geometric reasoning

Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141 – Scootle )

Statistics and Probability

Chance

Describe probabilities using fractions, decimals and percentages (ACMSP144 – Scootle )

Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145 – Scootle )

Compare observed frequencies across experiments with expected frequencies (ACMSP146 – Scootle )

Data representation and interpretation

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147 – Scootle )

Interpret secondary data presented in digital media and elsewhere (ACMSP148 – Scootle )

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