Australian Curriculum

K - Year 2Year 3 - 5Year 6 - 8Number and QuantityAlgebraFunctionsGeometryStatistics & Probability
Counting and Cardinality
  1.  Know number names and the count sequence.
  2.  Count to tell the number of objects.
  3.  Compare numbers.
Operations and Algebraic Thinking
  1. Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. 
  2. Add and subtract within 20.
  3. Work with equal groups of objects to gain foundations for multiplication.
Number and Operations in Base Ten
  1. Work with numbers 11-19 to gain foundations for place value.
  2. Use place value understanding and properties of operations to add and subtract.
Measurement and Data
  1. Describe and compare measurable attributes.
  2. Classify objects and count the number of objects in each category.
  3. Measure and estimate lengths in standard units.
  4. Relate addition and subtraction to length.
  5. Work with time and money.
  6. Represent and interpret data.
Geometry
  1. Identify and describe shapes.
  2. Analyze, compare, create, and compose shapes.
  3. Reason with shapes and their attributes.
Operations and Algebraic Thinking
  1. Represent and solve problems involving multiplication and division.
  2. Understand properties of multiplication and the relationship between multiplication and division.
  3. Multiply and divide within 100.
  4. Solve problems involving the four operations, and identify and explain patterns in arithmetic.
  5. Write and interpret numerical expressions.
  6. Analyze patterns and relationships.
Number and Operations in Base Ten
  1. Use place value understanding and properties of operations to perform multi-digit arithmetic.
  2. Perform operations with multi-digit whole numbers and with decimals to hundredths.
Number and Operations - Fractions
  1. Develop understanding of fractions as numbers.
  2. Use equivalent fractions as a strategy to add and subtract fractions.
  3. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Measurement and Data
  1. Solve problems involving measurement and estimation of intervals of time, liquid volumes and masses of objects.
  2. Represent and interpret data.
  3. Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
  4. Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Geometry
  1. Reason with shapes and their attributes.
  2. Graph points on the coordinate plane to solve real-world and mathematical problems.
  3. Classify two-dimensional figures into categories based on their properties.
Ratios and Proportional Relationships
  1. Understand ratio concepts and use ratio reasoning to solve problems.
The Number System
  1. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
  2. Multiply and divide multi-digit numbers and find common factors and multiples.
  3. Apply and extend previous understandings of numbers to the system of rational numbers.
Expressions and Equations
  1. Apply and extend previous understandings of arithmetic to algebraic expressions.
  2. Reason about and solve one-variable equations and inequalities.
  3. Represent and analyze quantitative relationships between dependent and independent variables.
Geometry
  1. Solve real-world and mathematical problems involving area, surface area, and volume.
Statistics and Probability
  1. Develop understanding of statistical variability.
  2. Summarize and describe distributions.
Functions
  1. Define, evaluate, and compare functions.
  2. Use functions to model relationships between quantities.
The Real Number System
  1. Extend the properties of exponents to rational exponents
  2. Use properties of rational and irrational numbers.
Functions
  1. Reason quantitatively and use units to solve problems
The Complex Number System
  1. Perform arithmetic operations with complex numbers
  2. Represent complex numbers and their operations on the complex plane
  3. Use complex numbers in polynomial identities and equations
Vector and Matrix Quantities
  1. Represent and model with vector quantities.
  2. Perform operations on vectors.
  3. Perform operations on matrices and use matrices in applications.
Seeing Structure in Expressions
  1. Interpret the structure of expressions
  2. Write expressions in equivalent forms to solve problems
Arithmetic with Polynomials and Rational Functions
  1. Perform arithmetic operations on polynomials
  2. Understand the relationship between zeros and factors of polynomials
  3. Use polynomial identities to solve problems
  4. Rewrite rational functions
Reasoning with Equations and Inequalities
  1. Understand solving equations as a process of reasoning and explain the reasoning
  2. Solve equations and inequalities in one variable
  3. Solve systems of equations
  4. Represent and solve equations and inequalities graphically
Functions
  1. Create equations that describe numbers or relationships
Interpreting Functions
  1. Understand the concept of a function and use function notation
  2. Interpret functions that arise in applications in terms of the context
  3. Analyze functions using different representations
Building Functions
  1. Build a function that models a relationship between two quantities
  2. Build new functions from existing functions
Linear, Quadratic, and Exponential Models
  1. Construct and compare linear and exponential models and solve problems
  2. Interpret expressions for functions in terms of the situation they model
Trigonometric Functions
  1. Extend the domain of trigonometric functions using the unit circle
  2. Model periodic phenomena with trigonometric functions
  3. Prove and apply trigonometric identities
Congruence
  1. Experiment with transformations in the plane
  2. Understand congruence in terms of rigid motions
  3. Prove geometric theorems
  4. Make geometric constructions
Similarity, Right Triangles, and Trigonometry
  1. Understand similarity in terms of similarity transformations
  2. Prove theorems involving similarity
  3. Define trigonometric ratios and solve problems involving right triangles
  4. Apply trigonometry to general triangles
Circles
  1. Understand and apply theorems about circles
  2. Find arc lengths and areas of sectors of circles
Expressing Geometric Properties with Equations
  1. Translate between the geometric description and the equation for a conic section
  2. Use coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension
  1. Explain volume formulas and use them to solve problems
  2. Visualize relationships between two-dimensional and three-dimensional objects
Modeling with Geometry
  1. Apply geometric concepts in modeling situations
Making Inferences and Justifying Conclusions
  1. Understand and evaluate random processes underlying statistical experiments
  2. Make inferences and justify conclusions from sample surveys, experiments and observational studies
Interpreting Categorical and Quantitative Data
  1. Summarize, represent, and interpret data on a single count or measurement variable
  2. Summarize, represent, and interpret data on two categorical and quantitative variables
  3. Interpret linear models
Conditional Probability and the Rules of Probability
  1. Understand independence and conditional probability and use them to interpret data
  2. Use the rules of probability to compute probabilities of compound events in a uniform probability model
Using Probability to Make Decisions
  1. Calculate expected values and use them to solve problems
  2. Use probability to evaluate outcomes of decisions

 

 

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