Maths Year Pack | YR6 | Numbers, Algebra, Geometry & Statistics
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# of Pages:
1 YEAR / 4 Terms/ 40 weeks / Approx. 4hr per week
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Unit Summary, Lesson Plans & associated Worksheets.
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Lesson 1 - Free sample
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One only gets better in any aspect of mathematics by doing it many times. The general approach in the following program is to give a lesson at the beginning of a week and then give extra practice in that work, or any other work, for the rest of the week.In each lesson the teacher will do a few examples with the class and the pupils will do a few exercises to check their understanding.
Further questions, or harder questions, could be given if needed.
If all the work in a lesson is not covered it does not matter. It can be spread over two lessons with the extra practice of what has already been covered.
Math Online could be used for revision.
It is recommended that teachers also incorporate times tables practice and key facts drills into their Maths classes, as well as work which focuses in more depth on problem solving/mathematical thinking and the language of Maths.
The year’s work has been split into 6 key topic areas: Number & Place Value, Fractions & Decimals, Financial Maths & Algebra, Measurement, Geometry and Statistics & Probability
At this grade level, ACARA recommends that students complete approximately 4 hours of Maths per week.
Year 6 Level Description
·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.
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, explaining why the actual results of chance experiments may differ from expected results
Year 6 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 evaluate 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 list and communicate probabilities using simple fractions, decimals and percentages.
Number & Place Value:
· Revision of addition and subtracting
· Revision of multiplication and division
· Larger numbers
· Classification of numbers
· Divisibility tests
· Positive and negative numbers
Fractions and Decimals:
· Equivalent fractions
· Adding and subtracting fractions
· Fraction of a quantity
· Adding and subtracting decimals
· Multiplying and dividing decimals
Financial Maths and Algebra:
· Multiplying and dividing by 10, 100, 1000
· Fractions, decimals and percentages
· Financial mathematics
· Order of Operations
· Units of measurement = length
· Perimeter and Area
· Shapes and solids
· Other angle properties
Statistics and Probability:
· Probability (or chance)