# Task Types and Mathematical Learning (TTML) - Number activities

From Term 1 2017, Victorian government and Catholic schools will use the new Victorian Curriculum F-10. Curriculum related information is currently being reviewed and may be subject to change.

The Victorian Curriculum F–10 - VCAA

## Number activities

The Task Types and Mathematics Learning (TTML) is a set of classroom activities that were designed by Victorian teachers as part of an Australian Research Council (ARC) Linkage project scheme conducted by Monash University and the Australian Catholic University.

Teachers may find the TTML activities useful when designing learning experiences for their classes.

### Decimal maze

Students play a board game in pairs that involves decision making about whether multiplying, dividing, adding or subtracting certain numbers will increase or decrease the running total on a calculator.

This activity challenges the very common misconception that multiplying always makes a number bigger, and dividing always makes it smaller. It brings into play estimation skills, ICT skills and strategy development to ensure that the opponent ends up with a lower score!

### Auxillary sums

Students are presented with the sum "16 + 27" and asked to write as many equations relating to it as they can. Following this, students write as many equations as they can relating to the sum 47 + 47 + 47.

This activity is suitable to use either as an introduction to, or consolidation of number patterns, strategies for addition, subtraction, multiplication or division, BODMAS equations or algebra.

Students are asked to explain the question that was posed to Marilyn Vos Savant from Parade Magazine in the USA:

A wholesaler sells a dress for \$20. The store marks it up to \$40 – a markup of 100%. But the dress doesn’t sell by the end of the holiday season, and the store discounts it to 50% off. The price is now back to \$20. How can a 100% markup and a 50% reduction result in the same figure?

### Birthday BODMAS

Using their birth year (e.g. 1996) students create expressions using a variety of operations on the digits (1, 9, 9, 6) to fill the boxes for each "date" on a calendar month.

This activity is well suited to classes with a wide range of student abilities, and for use during a focus on operations.

### Fraction, decimal and percentage match

In this co-operative and engaging card game, students have to match the equivalent representations of fractions, decimals and percentages, ranging in difficulty from simple to challenging. This activity encourages mathematical discussion within the classroom, mental arithmetic, and strengthens students' understanding of decimals, percentages and fractions.

### Maps for the commander

Wrapped within an entertaining tale of spies planning to attack a city, students are given two views of the city – one from the west, and one from the south. Students then sketch how the city would look from the north-east. This activity exercises students' spatial skills and applies their knowledge of cardinal directions.

### Mike's numbers

Mike is a man who lives in Tasmania who decided to write down every number from 1 to 1,000,000 over a two year period, hoping to enter the Guinness Book of World Records. Students investigate the claim from a local newspaper that Mike wrote down 5,878,936 digits during his quest.

### Music cards

Students are asked to analyse which of two music cards provides better value for money – Pod Tunes or New Tunes. This contemporary context engages students in problem solving, with more than one mathematical approach resulting in the correct solution.

### Pizza sharing

In this engaging fractions-based activity, students decide whether 7 girls sharing 3 pizzas end up with more pizza than 3 boys sharing 1 pizza.

### Washing powder

You are shopping for washing powder and your favourite brand is on special. For one kilogram of this powder you would pay \$4.00, but for 1.5 kilograms you would pay \$6.79. Which is the better buy?