Core concept: Different areas can be compared using direct comparison.
Learning Intention:
Students are learning that:
area is an attribute of measurement that measures the two-dimensional space inside a region
when we rearrange a shape, it looks different, but the area stays the same
mathematicians develop and test ideas to prove or disprove their thinking.
Success Criteria:
Students can:
use language such as bigger than, smaller than or the same as, to compare area
identify that shapes can be rearranged but the area stays the same
make predictions about which shape takes up the biggest, smallest or about the same area.
Daily number sense: Counting with understanding – 10 minutes
Area
When we measure the length of shapes we measure from endpoint to endpoint.
When we measure length, we only need to think about the beginning to the end of the object.
With area, they need to think about the whole surface, end-to-end but also side-to-side.
When measuring the area of an object, we are measuring the space inside a shape.
Shape area – 30 minutes
Activity: measuring the Area of shapes. Choose a variety of 2D shapes and use connecting blocks to informally measure the Area of each shape.
Select students to share their thinking about which shape is bigger by explaining an informal measurement of Area e.g. the red square has an area of 16 blocks.
Consolidation and meaningful practice: We can use manipulatives to make our number combination – 15 minutes
What is Area?
When we rearrange a shape, it looks different, but the area stays the same
Mathematicians develop and test ideas to prove or disprove their thinking