# Task Types and Mathematical Learning (TTML) - Ratio unit

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

## Ratio unit

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.

#### Ratio unit: Teddy bear

This 'rich task' was undertaken by all students, who worked on it for the duration of the unit. The students are given a 30 cm tall teddy bear pattern and must construct a 40 cm tall teddy bear.

#### Ratio unit: Magic mud

This hands-on introductory task, completed by all students, involved investigating and recording the ideal ratio of ingredients (cornstarch to water) for creating 'magic mud'.

#### Ratio unit: Running speed

Students are posed the problem, "Usain Bolt is the fastest man on earth. He can run 100m in 9.58 seconds. How fast can you run over 100m?"

#### Ratio unit: Ratio in the classroom

Students survey their peers on a range of questions to calculate the ratio of student preferences in the classroom.

#### Ratio unit: Making Cordial

Students explore the best ratio of cordial syrup to water to make cordial that tastes "just right". The students calculate the amount needed for larger quantities and complete a ratio table.

#### Ratio unit: Ratio in the real world

The students explore which ratio produces a stronger cranberry taste between a 4:3 or 3:2 mix of cranberry juice to apple juice. The students use various strategies to answer this question and apply these to a second task that asks, 'Which rectangle is "more square" a rectangle of 35 × 39 or one of 22 × 25?'

#### Ratio unit: Golden ratio investigations

Students research and report on the use of the Golden Ratio in art, architecture and the environment.

#### Ratio unit: Golden rectangle

Students draw differently proportioned rectangles and asking their classmates to choose which are most appealing, then expressing the proportion of the most popular rectangles as a ratio and a decimal.

#### Ratio unit: Ratio of buildings to playground

Students were given an aerial photograph of their school and asked to calculate the percentage of the schoolyard covered by buildings and the percentage that is playground.

#### Ratio unit: Design your own school

Students design a school on a 10 X 10 grid, incorporating different features such as classrooms and playground. The students calculate the percentage of each feature of the school and the equivalent ratio, fraction and decimal.