Geometry Sometimes Always Never

The "Sometimes, Always, Never" series is an engaging set of activities for Year 5 students exploring various statements about geometry. Each slide presents a single statement, and students must determine whether the statement is sometimes true, always true, or never true. This exercise encourages critical thinking as students are prompted to provide examples or counterexamples to support their reasoning. In addition to identifying the truth of each statement, students face extra challenges: they must explain the conditions under which 'sometimes' statements are true and, where applicable, rewrite these statements to make them 'always true' or 'never true'. These activities serve as excellent starters to deepen students' understanding of geometric concepts and to practice using mathematical language effectively.

For instance, students will encounter statements like "When you cut off a piece of a 2D shape you reduce the area and the perimeter," and "The diagonals of a square intersect at right angles," which are to be scrutinised and categorised. Other statements such as "A triangle cannot have an obtuse angle," and "A kite has 3 obtuse angles," challenge students to reflect on their knowledge of shapes and their properties. The exercise also covers concepts like symmetry in regular polygons, the relationship between coordinates and transformations, and the characteristics of triangles and quadrilaterals. Through this interactive and thoughtful approach, students will build a solid foundation in geometry while developing their analytical and problem-solving skills.