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
Multi-Digit Multiplication Strategies Poster Pack
Teach your students about different multi-digit multiplication methods with this set of maths posters.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable worksheet.
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Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
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Decimals and Percentages Assessment
Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.
- Free Plan
Multiplying Decimals – Word Problem Task Cards
Solve a variety of word problems by multiplying decimals with this set of 24 task cards.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Graphing on the Cartesian Plane Teaching Slides
Teach your students how to plot points on a graph using ordered pairs from input-output tables with this set of teaching slides.
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Advanced Angles Teaching Slides
Teach your students about advanced angle types with this teaching presentation perfect for upper primary school maths lessons.
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BODMAS Classroom Poster
Hang this BODMAS poster in the classroom to guide students through the order of operations.
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Calculating Missing Angles Interactive Activity
Get your students to find missing angles with this interactive game perfect for Year 6 maths lessons.
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Angles Maths Investigation – Design a Room
Turn your students into interior designers with this inquiry-based maths project based on drawing and measuring angles.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Free Plan
Converting Units of Capacity Worksheet
A worksheet that focuses on converting units of capacity.
- Plus Plan
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.
- Plus Plan
Maths Mazes (Factors)
A set of maths mazes that allow students to demonstrate their knowledge of factors.
- Free Plan
Patterns in Place Value Worksheet
Use this place value worksheet to get your students analysing decimal place value in numbers.
- Plus Plan
Adding and Subtracting Decimals – Word Problem Task Cards
Have students solve decimal word problems with this set of 16 task cards, perfect for math centers.
- Plus Plan
Adding and Subtracting Decimals Word Problems Worksheet
Practise solving word problems by adding and subtracting decimals to the thousandths place with this worksheet.
- Plus Plan
Mixed Number - Fraction Model Match-Up
Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.
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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
Add & Subtract Fractions Board Game
A board game to consolidate students' understanding of adding and subtracting fractions.
- Plus Plan
3-Act Maths Tasks - Time Word Problems
Practise problem-solving skills and time conversions with a printable pack of 3 Act Maths Task worksheets.
- Plus Plan
Measuring Angles in Images Worksheets
Get your students using their protractors to measure acute, obtuse, right, straight and reflex angles with this set of differentiated angles worksheets.
- Plus Plan
Drawing and Constructing 3D Objects – Interactive Activity
Construct digital and physical nets of some common 3D objects with this hands-on digital learning activity.
- Free Plan
Find and Colour – Prime and Composite Numbers
Encourage your year 6 students to identify prime and composite numbers up to 100 with this free find and colour worksheet.
- Plus Plan
Comparing Fractions – Task Cards
Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.
- Plus Plan
Order of Operations – Mini Book
Learn how to solve equations using the order of operations with this mini book.
- Plus Plan
Fraction, Decimal and Percentage Match-Up Game
Get students converting fractions, decimals and percentages with this hands-on maths game aligned with the upper primary maths curriculum.
- Plus Plan
Calculating Discounts and Sale Price Teaching Slides
Teach your students how to calculate discounts and sale prices using fractions and decimals with this comprehensive teaching presentation.
- Plus Plan
2D Symmetry Poster - Reflection and Rotational
This 2D symmetry poster explores both reflection and rotational symmetry.
- Plus Plan
Fraction Fact File Worksheet
Explore all things fractions with this one-page printable worksheet.
- Plus Plan
The Escape From Millbrook Manor – Whole Class Escape Game
Practise computation skills by solving puzzles with this differentiated Halloween escape room game.