# Year 4: 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-vic-year-4

Part of: [Victorian Curriculum: Mathematics](https://ai.page/roadmap/au-vic.md)

Goal: Victorian Curriculum and VCE (VCAA): Mathematics, Year 4

## 1. Probability

- [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
- [Likelihood Language](https://ai.page/c/likelihood-language/index.md): Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible

## 2. Statistics

- [Statistical Analysis Vocabulary](https://ai.page/c/statistical-analysis-vocabulary/index.md): Read, write, and use the vocabulary of statistical analysis — mean, median, mode, range, frequency, data, sample, average, chart, table, graph, pie chart, scatter graph, correlation — with understanding of what each term describes
- [Bar graphs](https://ai.page/c/bar-graphs/index.md): Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
- [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables

## 3. Space

- [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry
- [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties

## 4. Measurement

- [Estimating Angles](https://ai.page/c/estimating-angles/index.md): Estimate and compare acute, obtuse, and reflex angles in degrees; classify angles by type and order them by size
- [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts
- [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes
- [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen

## 5. Algebra

- [All times tables to 12×12](https://ai.page/c/all-times-tables-to-12-12/index.md): Recall multiplication and division facts for multiplication tables up to 12 × 12

## 6. Number

- [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur
- [Modelling with multiplication and fractions](https://ai.page/c/modelling-with-multiplication-and-fractions/index.md): Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context
- [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
- [Choosing mathematical tools](https://ai.page/c/choosing-mathematical-tools/index.md): Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task
- [Multiplying by Tens](https://ai.page/c/multiplying-by-tens/index.md): Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations
- [Multiplying fractions](https://ai.page/c/multiplying-fractions/index.md): Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)
- [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators
- [Decimal place value](https://ai.page/c/decimal-place-value-3/index.md): Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy

## 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):

- Experimental probability has no explanation yet
- Likelihood Language has no explanation yet
- Statistical Analysis Vocabulary has no explanation yet
- Bar graphs has no explanation yet
- Pictograms and tally charts has no explanation yet
- 2-D shapes (age 8+) has no explanation yet
- Classifying shapes by properties has no explanation yet
- Estimating Angles has no explanation yet
- Measurement Conversions has no explanation yet
- Measuring Perimeters has no explanation yet
- Measuring with different units has no explanation yet
- All times tables to 12×12 has no explanation yet
- Shape patterns has no explanation yet
- Modelling with multiplication and fractions has no explanation yet
- Estimating by rounding has no explanation yet
- Choosing mathematical tools has no explanation yet
- Multiplying by Tens has no explanation yet
- Multiplying fractions has no explanation yet
- Equivalent fractions has no explanation yet
- Decimal place value has no explanation yet

Credit: The structure of Victorian Curriculum and VCE (VCAA): Mathematics (https://victoriancurriculum.vcaa.vic.edu.au/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.
