Students explore the relationship between and representation of all forms of fractions using an area model and an interactive number line. Students learn about common fractions, decimal fractions and percentages by designing a park, a city, a school, a farm or a neighbourhood.

Teacher notes

  • Students design various communities on a grid according to a brief. In some learning objects the size of most components is specified, while in others students decide the size of most of the components.
  • The brief can be described in common fractions, decimal fractions, percentages or a combination of these. The emphasis is on equivalence and representations of fractions in the area model (grid), as symbols and on a number line.
  • A grid of various sizes is provided, ranging from 2 x 4 to 10 x 20.
  • A 'how to use' guide is provided.
  • A printout of the student's work is available.

Learning objects

Design briefs picture.

Design a park
The grid provided is 2 x 4 and the fractions include denominators of 2, 4 and 8. The design choices in this object are simple.Audio instructions are available.

Design briefs picture.

Design your own park
Students choose a grid size (up to 6 x 6) appropriate to the two fractions already selected by the guide. Times tables up to 10 x 10 are available to assist them. Students place the five components of the playground on their grid then calculate the fraction of the total site used for each region. The fractions include denominators from 2 to 9.

Design briefs picture.

Park fractions
This is an aggregated learning object combining the park learning objects. Audio instructions are available.

Design briefs picture.

Design a school
Students place the eight components of a playground on a 10 x 10 grid then calculate the percentage of the total site used for each region. The size of most components is already provided as a percentage: students decide the size of two components. Students convert from one type of written fraction to another, using percentages and tenths. Audio instructions are available.

Design briefs picture.

Design your own school
Students place the eight components of a playground on a 10 x 10 grid then calculate the percentage of the total site used for each region. The size of two components is already provided as a percentage; students decide the size of six components and identifies the percentage of each region. There are a number of starting guides available. Audio instructions are available.

Design briefs picture.

Playground percentages
This is an aggregated learning object combining the school learning objects. Audio instructions are available.

Design briefs picture.

Design a neighbourhood
Students represent eight components, presented variously as decimals, fractions and percentages on a 10 x 20 neighbourhood grid. The size of most components is already provided; students decide the size of two components. The number line displays fractions in tenths, percentages and decimal equivalents.

Design briefs picture.

Design a city
Students represent eight city components on a 10 x 20 grid. The size of two components is already provided as a percentage; students decide the size of six components, identifying the size of the regions in percentages. The number line displays fractions in tenths and decimal equivalents. There are a number of starting guides available.

Design briefs picture.

Design a farm
Students represent eight farm components on a 10 x 20 grid. The size of two components is already provided as decimals; the student decides the size of six components, identifying the size of the regions in decimals. The number line displays fractions in tenths and percentage equivalents. There are a number of starting guides available.

Design briefs picture.

Neighbourhood fractions
This is an aggregated learning object combining the neighbourhood, farm and city learning objects. Navigation is by boxes at the bottom of the page.