# Year 6: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 20 concepts ready. In the app: https://ai.page/roadmap/au-acara-year-6 Part of: [Australian Curriculum: Mathematics](https://ai.page/roadmap/au-acara.md) Goal: Australian Curriculum (ACARA): Mathematics, Year 6 ## 1. Statistics and Probability - [Pictograms and tally charts (age 11+)](https://ai.page/c/pictograms-and-tally-charts-age-11/index.md): Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing appropriate representations for the data type - [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability - [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100% ## 2. Measurement and Geometry - [Understanding angles (age 10+)](https://ai.page/c/understanding-angles-age-10/index.md): Recognise angles where they meet at a point, are on a straight line, or are vertically opposite; find missing angles using these properties - [Understanding angles (age 11+)](https://ai.page/c/understanding-angles-age-11/index.md): Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [Measuring length (age 10+)](https://ai.page/c/measuring-length-age-10/index.md): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units - [Decimal place value](https://ai.page/c/decimal-place-value-maths/index.md): Convert among different-sized standard measurement units within a given system (e.g. 5 cm to 0.05 m) using decimal notation to up to three decimal places; convert between smaller and larger units of length, mass, volume, and time - [Unit Conversions](https://ai.page/c/unit-conversions/index.md): Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places where appropriate - [Compound Units](https://ai.page/c/compound-units/index.md): Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units ## 3. Number and Algebra - [Linear number sequences](https://ai.page/c/linear-number-sequences/index.md): Generate and describe linear number sequences, including those with negative and decimal steps; identify the term-to-term rule - [Decimals and fractions (age 10+)](https://ai.page/c/decimals-and-fractions-age-10/index.md): Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between simple fractions, decimals, and percentages in different contexts - [Calculating Percentages](https://ai.page/c/calculating-percentages/index.md): Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison - [Multiplying and dividing](https://ai.page/c/multiplying-and-dividing/index.md): Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000 - [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers - [Addition and subtraction strategies (age 10+)](https://ai.page/c/addition-and-subtraction-strategies-age-10/index.md): Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction; relate strategies to written methods and explain reasoning - [Adding Fractions (Unlike Denominators)](https://ai.page/c/adding-fractions-unlike-denominators/index.md): Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common denominator - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations - [Choosing Maths Tools](https://ai.page/c/choosing-maths-tools/index.md): Select and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and technology based on the demands of the problem ## Health: 0 of 100 Of its 20 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Pictograms and tally charts (age 11+) has no explanation yet - Experimental probability has no explanation yet - Percentages as Fractions comes before Calculating Percentages, which it needs - Percentages as Fractions has no explanation yet - Understanding angles (age 10+) has no explanation yet - Understanding angles (age 11+) has no explanation yet - Coordinate Transformations has no explanation yet - Measuring length (age 10+) has no explanation yet - Decimal place value has no explanation yet - Unit Conversions has no explanation yet - Compound Units has no explanation yet - Linear number sequences has no explanation yet - Decimals and fractions (age 10+) has no explanation yet - Calculating Percentages has no explanation yet - Multiplying and dividing has no explanation yet - Division with Decimals has no explanation yet - Addition and subtraction strategies (age 10+) has no explanation yet - Adding Fractions (Unlike Denominators) has no explanation yet - Fractions on a number line has no explanation yet - Numbers on a number line has no explanation yet - Choosing Maths Tools has no explanation yet Credit: The structure of Australian Curriculum (ACARA): Mathematics (https://www.australiancurriculum.edu.au/f-10-curriculum/mathematics/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.