Properties of Shape - Reasoning about 3D Shapes - Starter

As part of a series of mathematical exercises for Year 5 students, the tasks focus on developing fluency in mathematical reasoning and understanding of geometric concepts. The activities begin with a 'Fluent in Four' revision segment, where students tackle arithmetic operations such as division and complex calculations involving hundreds and multiples of nine. The lessons are structured to take place during the summer term, specifically in week 7 on days 4 and 5. Students are tasked with drawing a regular hexagon on provided grids and exploring factors by identifying common factors of given numbers, such as 21 and 24. Additionally, they are asked to use bar models to solve division problems and calculate fractions of a number.

The exercises also involve estimating the area of shapes, with students counting whole and partial squares on a grid, each with a length of 1 cm, to approximate the area in square centimetres. On the following day, students are challenged to examine different nets of 3D shapes, describe the 2D shapes that form the nets, and identify the resulting 3D shape. To further test their understanding of place value and decimals, students are required to fill in missing numbers in given equations, breaking down numbers into tens, ones, tenths, and hundredths. These activities are designed to strengthen students' mathematical reasoning skills and their grasp of shapes and numbers.