Select a stage from the tabs below for a list of sample activities related to the Mathematics K-10 Syllabus.
Select an activity to view the activity description, context, outcomes and criteria for assessing learning.
These sample activities and graded student work samples are available to support teachers allocating grades (A to E or equivalent) to their students.
Visit the Assessment Resource Centre for more information about other courses and reporting on student achievement, including the Common Grade Scale.
Early Stage 1 (Kindergarten) Sample Activities
Students compare the lengths of objects and demonstrate or explain how the lengths were compared and draw a picture to record their results.
Students make a shape in playdough, cut it in half, and reflect on the process and whether the two pieces are equal.
Stage 1 (Years 1 and 2) Sample Activities
Students use words and/or pictures to record ways in which ten monkeys could hide in two trees.
Students make a number pattern that increases or decreases, explain it in words, then create another number pattern that has a particular number in it.
Students draw pictures of events or activities that happen at particular times of day, and record them on analog and digital clocks.
Students work out how many eggs are in a basket from the number outside the basket and record results using pictures, numerals and/or symbols.
Stage 2 (Years 3 and 4) Sample Activities
Students work out a variety of ways in which addition, subtraction, multiplication and division of different numbers can arrive at a given answer.
Students order fractions, decimals and percentages on a number line and record their reasoning.
Students mentally solve addition and subtraction problems and then record their strategies.
Stage 3 (Years 5 and 6) Sample Activities
Students express each of a selection of numbers in two different ways using a mix of operations.
Students record a variety of questions, including word problems, number sentences and questions that involve more than one operation to arrive at a given answer.
Stage 4 (Years 7 and 8) Sample Activities
Students are asked to solve various problems involving operations with fractions.
Students are shown diagrams representing the modelling of a geometric pattern. They draw the next structure required to continue the pattern and complete a table of values to determine a rule to describe the pattern.
Stage 5 (Years 9 and 10) Sample Activities
Students consider the best value fare given the price of nine return airfares from Sydney, and suggest an appropriate fare for a new journey, given the distance.
Students will be asked to demonstrate what they understand and can do in relation to their work in trigonometry.
If the midpoint of an interval is (1,3), what might the endpoints of the interval be?
Students give reasons for their solution.