Multiplicative thinking resources

Students compute how much each of two people get when given amounts are divided according to given ratios in a variety of contexts.

Students use given ratios to work out missing amounts in a variety of contexts and express a ratio in its simplest form.

Students share total numbers of objects according to some given ratios in a variety of contexts.

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

Students calculate the cost per kilogram of three confectionery hampers.

Students perform calculations using whole numbers and negative numbers.

Students write ratios in their simplest form.

Students identify square and cubic numbers mentally in a timed test.

Students calculate the number of packets of biscuits that need to be sold, and how many house visits are needed to attain a given profit.

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

Students work out how many cups of juice can be made or how many runs can be scored from given rates.

Students answer questions about distance, speed and time, and identify an expression that describes the distance (kilometres) from the starting point in terms of time (minutes).

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 calculate fraction division problems and show their working.

Students work out the missing dimension on a rectangle and show how they obtained it using proportional reasoning.

Students perform decimal multiplication and division involving the cost of material, without the use of a calculator.

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

Students use rounding to estimate totals then discuss this as a method of estimation.

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

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

This practical task involves students making best estimates of sets of items and clearly demonstrating their method(s) of estimation.

Students estimate and explain how they estimated their answer for two number problems: one involving multiplication; and the other division.

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

Students identify and give rules for when numbers are divisible by three or by nine.