 # Proportions

#### Curriculum – Measurement

For students to measure and compare length, mass, capacity, area, temperature of objects/materials, and the passage of time, using non-standard units, through free exploration, focused exploration, and guided activity.

#### Context

Students and the teacher begin by sitting on the floor in a circle.

#### Materials

• Different sizes of squares and rectangles (Appendix A, B, C & D). #### Lesson Introduction

• Set out two shapes – a rectangle and a longer rectangle (Appendix A). Ask students what they notice about those two shapes.
• Allow students to share their observation about the two rectangles. Common observations include one is bigger than the other or they are both rectangles etc.

#### Lesson

• Ask students, if you wanted to fill up the rest of the space on the longer rectangle, what would you have to do?
• Have students prove their theories about how they would fill the larger rectangle with the shorter one.
Bring out another shape – a small spare (Appendix B). Ask students what they notice about that shape when it is compared with the two other shapes.
• Have students share their ideas

#### Closure

• Fill in the rest of the numbers and ask students what they notice about all of the lined up rods.