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Students find and show given fractions of shapes and sets of counters.

Students use ratios and proportional reasoning to compute various amounts.

Students work out the costs and the best value for money of a range of tomato sauce bottles.

Students recommend which store offers the cheapest product based on calculations of percentage increase or decrease, and fully justify their answers.

Students calculate the percentage by which clothing prices have been reduced.

Students express a distance as a percentage of the distance of a whole journey, and calculate percentages or fractions of parts of the journey.

In this practical task students drag fractions of different fish onto the body of a shark.

Students express proportions as percentages and calculate percentages.

Students identify whether two shapes have been partitioned evenly or not, and show how to correctly partition the shapes.

Students find different ways to divide squares into halves and quarters.

Students partition sets of objects and show how to work out fractions of quantities (using fractions as operators).

Students show how to partition shapes into a given number of equal parts and identify the fraction of each part.

Students break amounts into a number of equal sized groups.

Students work out the cost of items of clothing both before and after GST has been added to them.

Students use given ratios to determine the number of people performing kapa haka.

Task: calculate answer to questions about speed, distance, and time. Assessment focus: using a formula.

Students calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.

Students share out sets of counters into equal-sized groups.

Students use percentages to calculate heights of a building from the total height. They then explain how to calculate another percentage.

Students calculate percentage increases and decreases for odd jobs and show their working.

Students use cuisenaire rods to work out part-whole fraction problems.

Students answer questions involving adding and subtracting fractions of food.

Students explain errors in calculations that include all operations, decimal values, and percentages.

Students calculate the numbers of pieces of fruit and vegetables divided evenly into bags, and any remainder.

Students demonstrate their understanding of order of operations by explaining how a correct answer is calculated.