Perimeter, Area and Volume - Shapes- Same Area - Planning

In a Year 6 mathematics unit focused on Perimeter, Area, and Volume, students explore the concept that shapes with identical areas can have different perimeters, and vice versa. The curriculum objectives include the ability to recognise when to use formulas for area and volume, as well as calculating the area of parallelograms and triangles. Key vocabulary terms such as shape, area, perimeter, and formula are introduced and reinforced. A variety of resources including worksheets and presentations aid in the delivery of the lesson, with vocabulary cards and definitions available to support learning. The lesson begins with a recap of previous learning through a starter question, followed by activities that encourage students to differentiate between area and perimeter, understand the significance of side lengths and factors, and apply their multiplication knowledge to calculate the area of rectilinear and compound shapes.

Students engage in partner discussions and group work to deepen their understanding of the relationship between area and perimeter. Activity 1 involves sorting shapes into a Carroll diagram based on their area and understanding how factor pairs relate to the dimensions of rectangles. In Activity 2, students are challenged to draw as many rectangles as possible with given areas using integer side lengths, reinforcing the concept that area is the product of length and width. The lesson includes reasoning and independent activities with differentiated worksheets to cater to varying levels of understanding. The plenary session provides an opportunity for students to reflect on what they have learned and the skills they have used, such as multiplication and addition, while addressing common misconceptions. The structure of the lesson is designed to progress from working towards fluency in finding integer dimensions of rectangles with given areas to achieving greater depth in investigating multiple solutions.