# Task Types and Mathematical Learning (TTML) - Measurement 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

## Measurement 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.

### Blank graph

Students need to draw on their experience of types of data in graphs, to fill in the blanks on a bar graph that is completely unlabelled. What is the data? What are the axes representing? Students are asked to propose at least three different sets of data for the blank graph in this open activity.

### Chance events - making a spinner

An observation is made that the spinner produces weighted outcomes towards certain colours. Students are given the challenge to draw the spinner that might have been used.

### Cheater checkers

Students are presented with the challenge of creating a board game, where it is easier for one player to win than their opponent.

### The signpost

In this engaging activity, students are given the challenge of figuring out at which airport a photograph was taken, given the photo is of a signpost that details how far away 14 other worldwide cities are from it.

### Block of land

In this engaging activity, students are given the challenge of figuring out at which airport a photograph was taken, given the photo is of a signpost that details how far away 14 other worldwide cities are from it.

Students combine mapping and measurement skills with technology skills when they access Google Maps to find somewhere to go that is around 2.5km from their school. They calculate how far it is to Melbourne from school, and if they then ran in a different direction but the same distance, where they would end up. Students finally decide on a holiday destination that is between 1,000km and 1,200km from home in this open-ended activity.

### How efficient are drinking taps?

In this activity, students devise and carry out an experiment to measure the amount of water drunk at a fountain, versus the amount wasted. The results are then extrapolated to estimate the amount of water wasted per student each day, per school each day and for 100 schools each day.

### Painting a room

Students are asked to calculate the dimensions of a room, given the amount of paint used when it was painted. Information relating to the coverage of paint is given and which areas of the room were painted. More able students are extended with the additional information that there is one door and one window (using a specified area) in the room.

### Ways of representing graphs

A pie graph representing the results of a survey of students’ favourite sports played at a particular school is presented to students, who are then asked to analyse it and represent it in different (graphical) ways.

Given a metre of ribbon, and the knowledge that a bow uses 30cm, students are asked to calculate the dimensions of a box that could be wrapped by this piece of ribbon.

### Money measurement

Students are told they have won a prize. The prize can be one of:

• 1 metre of \$2 coins (lying flat)
• one square metre of five-cent pieces (filled in, lying flat)
• one litre milk carton full of 20-cent pieces; or
• 1 kg of \$1 coins.

Which prize would they choose?

This activity highlights the various ways we can measure objects, and compels students to develop problem solving strategies using money as a focus. Students predict the outcome then measure the money in a variety of ways to enable them to calculate the values for each of the above scenarios. This activity is well suited to either group or individual work.

### Matching graphical representations

Students match cards of pie charts, bar graphs and box and whisker plots formed from the same sets of data. Students work in pairs, and are engaged in a qualitative analysis, unpacking the information contained within each of the graph types and considering the benefits and uses of that information.