Year level: 5

Strand: Number

Lesson length: 65 mins

In this fifth lesson in the series, students explore the world of house and garden design while delving into the fascinating realm of percentages. They use a 10 x 10 grid to plan and depict their dream house and garden.

This lesson was developed in collaboration with the Australian Association of Mathematics Teachers (AAMT).

### Achievement standard

Students represent common percentages and connect them to their fraction and decimal equivalents.

### Content descriptions

Students recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents. AC9M5N04

### General capabilities

Numeracy

• Number sense: Interpreting fractions (Level 6)

Critical and Creative Thinking

•  Generating: Create possibilities (Level 4)
• Reserve time at the end of the lesson for students to reflect and demonstrate their learning.
• Use the Map masterpiece exit ticket on the teacher’s slides (slide 7). Have students use their new skills to work out the percentage of these coloured areas.

You might find that some students have difficulty converting common fractions to percentages or equivalent fractions.

Some students may:

• not have had much experience with the concept of ‘bird’s-eye view’ and, as such, may have limited understanding. Make it meaningful and relatable by using Google Maps to show your school, the local shops, local park or oval, or even students’ homes
• find it challenging to grasp the concept of percentages, their relationship to fractions, and the fact that there are many different and interchangeable representation, for example, 50% = 50100 = 12 for the same proportion. Suggest that all numbers can be represented many ways, for instance, \$20 could be a represented as one \$20 note or two \$10 notes, or the number 20 could be represented in different ways using Unifix blocks
• find it difficult to label and represent percentages on their grid paper. Refer to percentages as fractions out of 100, relate to 100 cents in a dollar, ask students how many squares are in the grid, remind students about the meaning/origin of the % symbol (see explicit teaching).
• Basic arithmetic skills (addition, subtraction and multiplication)
• Some background information about numerators, denominators and other basic fractional knowledge
• Exposure to the concept of ‘bird’s-eye’ view is advantageous

## What you need:

• Lesson plan (Word)

• Teacher’s slides (PowerPoint)

• Grid paper (10 x 10 grid)

• Art supplies (coloured pencils/pens/crayons)