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New NSW Syllabuses

Work Samples

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

Activity 1 - Comparing length

Students compare the lengths of objects and demonstrate or explain how the lengths were compared and draw a picture to record their results.

Activity 2 - Halves

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

Activity 1 - Chelsea at the zoo

Students use words and/or pictures to record ways in which ten monkeys could hide in two trees.

Activity 2 - Making number patterns

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.

Activity 3 - Time of day

Students draw pictures of events or activities that happen at particular times of day, and record them on analog and digital clocks. 

Activity 4 - Wake up

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 Actvities

Activity 1 - What could the question be?

Students work out a variety of ways in which addition, subtraction, multiplication and division of different numbers can arrive at a given answer.

Activity 2 - Ordering fractions and decimals

Students order fractions, decimals and percentages on a number line and record their reasoning.

Activity 3 - Recording my strategies

Students mentally solve addition and subtraction problems and then record their strategies.

stage 3 (Years 5 and 6) Sample Activities

Activity 1 - Mixed operations

Students express each of a selection of numbers in two different ways using a mix of operations.

Activity 2 - What's the problem

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

Activity 1 - Operations with fractions

Students are asked to solve various problems involving operations with fractions.

Activity 2 - Tunnel patterns

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

Activity 1- Best airfare deals

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.

Activity 2 - Can do trigonometry

Students will be asked to demonstrate what they understand and can do in relation to their work in trigonometry.

Activity 3 - Midpoint

If the midpoint of an interval is (1,3), what might the endpoints of the interval be?
Students give reasons for their solution.