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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:
(source: www.australiancurriculum.edu.au)
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)
A set of differentiated area and perimeter worksheets.
4 mixed operations word problem worksheets with answers.
Five pages of worksheets that allow students to work on reading and interpreting timetables.
Twenty division and multiplication word problem cards for upper primary.
6 posters showing the features and examples of picture graphs, pie charts, line graphs, bar graphs, column graphs and histograms.
Use these posters to assist your students to learn and convert the different units of measurement.
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
8 data representation and interpretation worksheets linked to the Australian Curriculum.
Numeracy working mats to explore place value, operations and fractions.
A set of 20 problem-solving questions suited to year 6 students.
A differentiated whole class Easter egg hunt.
Three worksheets to use when teaching your students how to add and subtract fractions.
An interactive PowerPoint presentation that teaches the features of 3D Objects.
A worksheet using fractions with common denominators.
Use understanding of factors to identify composite and prime numbers with this worksheet.
A mathematics investigation involving chance and data, embedded in a real-world context.
Explore positive and negative numbers by plotting integers on a number line and identifying opposites with this worksheet.
A picture of a dog with different types of angles for your students to identify.
An exciting escape room game where students use their maths skills to escape Millbrook Manor.
Find your way through this set of maths mazes by determining the addition or subtraction pattern in a sequence of decimal numbers.
A worksheet with factor trees that are used to find the prime factors of numbers.
Connect decimal representation while converting units of length with this worksheet.
A 26 slide editable PowerPoint Template to use when teaching your students how to add, subtract, multiply and divide using decimal numbers.
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
A worksheet to deepen students' understanding of decimals.
A set of four carnival-themed STEM challenges where students create fun games that incorporate probability.
A set of maths mazes that allow students to demonstrate their knowledge of factors.
An engaging 30 slide interactive PowerPoint to use in the classroom when learning about chance and probability in the upper years.
A 17 slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions.
A blank number line worksheet for number and algebra work.