# Year 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 26 concepts ready. In the app: https://ai.page/roadmap/au-vic-year-3

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

Goal: Victorian Curriculum and VCE (VCAA): Mathematics, Year 3

## 1. 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
- [Simple Chance Experiments](https://ai.page/c/simple-chance-experiments/index.md): Conduct simple probability experiments — flipping a coin, rolling a die, pulling coloured counters from a bag — record results, and compare experimental outcomes with expected theoretical outcomes

## 2. Statistics

- [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
- [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

## 3. Space

- [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

- [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn
- [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation
- [Telling time to the minute (age 8+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks
- [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks
- [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
- [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
- [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit

## 5. Algebra

- [Times tables (age 7+)](https://ai.page/c/times-tables-age-7/index.md): Recall and use multiplication and division facts for the 3, 4, and 8 multiplication tables
- [Fluent adding and subtracting within 20](https://ai.page/c/fluent-adding-and-subtracting-within-20/index.md): Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers
- [Using inverse operations](https://ai.page/c/using-inverse-operations/index.md): Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations

## 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
- [Working with money](https://ai.page/c/working-with-money/index.md): Model real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context
- [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
- [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
- [Estimation to check answers to calculations](https://ai.page/c/estimation-to-check-answers-to-calculations/index.md): Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
- [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations
- [Adding fractions (different denominators)](https://ai.page/c/adding-fractions-different-denominators/index.md): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
- [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
- [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
- [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000
- [Odd and even numbers](https://ai.page/c/odd-and-even-numbers/index.md): Recognise odd and even numbers

## Health: 0 of 100

Of its 26 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):

- Likelihood Language has no explanation yet
- Simple Chance Experiments has no explanation yet
- Pictograms and tally charts has no explanation yet
- Statistical Analysis Vocabulary has no explanation yet
- Classifying shapes by properties has no explanation yet
- Understanding angles has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Telling time to the minute (age 8+) has no explanation yet
- Comparing Time Durations has no explanation yet
- Calculating with measurements has no explanation yet
- Measuring with different units has no explanation yet
- Comparing lengths by measuring has no explanation yet
- Times tables (age 7+) has no explanation yet
- Fluent adding and subtracting within 20 has no explanation yet
- Using inverse operations has no explanation yet
- Shape patterns has no explanation yet
- Working with money has no explanation yet
- Modelling with multiplication and fractions has no explanation yet
- Halves and quarters (age 7+) has no explanation yet
- Estimation to check answers to calculations has no explanation yet
- Adding numbers has no explanation yet
- Adding fractions (different denominators) has no explanation yet
- Fractions of a whole has no explanation yet
- Unit fractions has no explanation yet
- Comparing Large Numbers has no explanation yet
- Odd and even numbers 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.
