Year 6
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
- fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
- problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
- reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 6, students recognise the properties of prime, composite, square and triangular numbers. They describe the use of integers in everyday contexts. They solve problems involving all four operations with whole numbers. Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They make connections between capacity and volume. They solve problems involving length and area. They interpret timetables. Students describe combinations of transformations. They solve problems using the properties of angles. Students compare observed and expected frequencies. They interpret and compare a variety of data displays including those displays for two categorical variables. They interpret secondary data displayed in the media.
Students locate fractions and integers on a number line. They calculate a simple fraction of a quantity. They add, subtract and multiply decimals and divide decimals where the result is rational. Students calculate common percentage discounts on sale items. They write correct number sentences using brackets and order of operations. Students locate an ordered pair in any one of the four quadrants on the Cartesian plane. They construct simple prisms and pyramids. Students describe probabilities using simple fractions, decimals and percentages.
(source: www.australiancurriculum.edu.au)
- Plus Plan
Exponential Expressions – Match-Up Activity
Match numerical expressions with exponents to their expanded expressions and solutions with this match-up activity.
- Plus Plan
Units of Measurement Word Wall Vocabulary
Print a pack of measurement vocabulary cards to help your students review academic vocabulary.
- Plus Plan
Comparing Fractions Board Game
Improve student understanding of how to compare fractions with the same numerators or denominators with this comparing fractions game.
- Plus Plan
Comparing Fractions – Task Cards
Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.
- Plus Plan
Comparing Fractions – Exit Tickets
Compare fractions with the same numerator or denominator with this set of 24 exit tickets.
- Free Plan
Fraction, Percentage and Decimal Word Wall Vocabulary
Print your own fraction, percentage and decimal vocabulary for use on a maths word wall.
- Plus Plan
Comparing Fractions – Differentiated Cut and Paste Worksheets
Compare fractions with like numerators and denominators with this cut and paste worksheet.
- Plus Plan
Comparing Fractions – Teaching Presentation
Teach your students about comparing fractions with like numerators or denominators by means of visual models, number lines and mathematical reasoning.
- Plus Plan
Fractions and Decimals Number Line Puzzles
Practise identifying fractions and decimals on a number line with this set of 2- and 3-piece puzzles.
- Free Plan
Comparing Fractions – Sorting Activity
Strengthen fraction comparison skills by sorting cards according to the inequality symbol that makes each statement true.
- Plus Plan
Comparing Fractions Mini-Book
Use this mini-book to help your students learn how to compare fractions with visual models, number lines and mathematical reasoning.
- Plus Plan
Adding and Subtracting Decimals — Small Group Bingo Game
Review how to add and subtract decimals with a printable small group bingo game.
- Plus Plan
Integers on Number Lines - Interactive Task Cards
Teach your students to locate positive and negative integers on a number line with a Google Slides interactive number line activity.
- Plus Plan
Using Tape Diagrams to Find the Whole From a Percentage – Worksheet
Calculate the whole from a percentage using tape diagrams with this worksheet.
- Plus Plan
Evaluating Expressions With Exponents – Worksheet
Practise evaluating expressions with exponents with this order of operations worksheet for year 6 and 7 students.
- Plus Plan
The Mathematical Easter Egg Hunt – Whole Class Game
A differentiated whole class Easter egg hunt.
- Plus Plan
Percent Bingo Game
Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.
- Plus Plan
Algebraic Expressions – Task Cards
Read, write and solve algebraic expressions with this set of 24 task cards.
- Plus Plan
Evaluating Expressions – Worksheet
Challenge your students to evaluate expressions with one or two variables by completing this worksheet.
- Plus Plan
Understanding Exponents – Task Cards
Practise rewriting, comparing and evaluating expressions with exponents with this set of task cards.
- Plus Plan
Prime Factorisation Match-Up
Practise how to find the prime factorisation of a number with this match-up activity.
- Plus Plan
Percent Models I Have Who Has? Game
Practise identifying percentages with visual percent models by playing an exciting 'I Have, Who Has?' game.
- Plus Plan
Cartesian Plane Coordinates Matching Activity
Practise identifying coordinates and describing the process for graphing with a year 6 matching activity.
- Plus Plan
Plotting and Comparing Integers – Worksheet
Practise plotting integers on a number line and completing comparison statements with this worksheet.
- Plus Plan
Decimal Patterns Match-Up Activity
Use this match-up activity to determine patterns and extend numerical sequences by adding and subtracting decimals.
- Plus Plan
Percent of a Number Match-Up Activity
Practise how to find the percent of a number with this match-up activity.
- Plus Plan
Graphing on the Cartesian Plane
Use this maths poster with your students when learning about graphing on a Cartesian plane.
- Plus Plan
Missing Angle Small Group Bingo
Practise how to find the measurement of a missing angle with this small group bingo game.
- Plus Plan
Order of Operations – Mini Book
Learn how to solve equations using the order of operations with this mini book.
- Plus Plan
Order of Operations – Interactive Activity
Solve expressions by using the order of operations with this interactive activity.
- Plus Plan
Converting Fractions and Decimals – Worksheet
Solve problems that involve converting fractions and decimals with this worksheet.
- Plus Plan
Estimating Decimal Sums and Differences — Year 6 Worksheet
Refine year 6 students' rounding skills with an estimating decimal sums and differences worksheet.