How to learn Year 3: Mathematics
Victorian Curriculum and VCE (VCAA): Mathematics, Year 3
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1. Probability
- Likelihood Language: 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: 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: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables
- Statistical Analysis Vocabulary: 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: 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: Recognise angles as a property of shape or a description of a turn
- Telling time to the minute (age 7+): 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+): Tell and write time to the nearest minute using analogue and digital clocks
- Comparing Time Durations: Compare durations of events and calculate the time taken by particular events or tasks
- Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
- Measuring with different units: 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: 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+): Recall and use multiplication and division facts for the 3, 4, and 8 multiplication tables
- Fluent adding and subtracting within 20: Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers
- Using inverse operations: Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations
6. Number
- Shape patterns: 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: Model real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context
- Modelling with multiplication and fractions: 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+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
- Estimation to check answers to calculations: Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
- Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
- Adding fractions (different denominators): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
- Fractions of a whole: 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: Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
- Comparing Large Numbers: Order and compare numbers beyond 1000
- Odd and even numbers: Recognise odd and even numbers