This task is primarily about volume and surface area, although it also gives students an early look at converting between measurements in scale models and the real objects they correspond to.
Students expand their knowledge of circles to establish relationships between angle measures in and around circles, line segments and lines in and around circles, and portions of circles as related to area and circumference.
This task shows that the three perpendicular bisectors of the sides of a triangle all meet in a point, using the characterization of the perpendicular bisector of a line segment as the set of points equidistant from the two ends of the segment. The point so constructed is called the circumcenter of the triangle.
This short video and interactive assessment activity is designed to give fourth graders an overview of angles.
This short video and interactive assessment activity is designed to teach third graders about classifying all types of triangles by lengths of sides.
This short video and interactive assessment activity is designed to teach fourth graders about classifying all types of triangles by lengths of sides.
This short video and interactive assessment activity is designed to teach third graders an overview of triangle classifications.
This short video and interactive assessment activity is designed to teach third graders about classifying triangles based on equal sides.
This short video and interactive assessment activity is designed to teach fourth graders about classifying triangles based on equal sides.
This short video and interactive assessment activity is designed to give fourth graders an overview of triangle classifications.
Students must calculate the volume of a cone in this real world task.
This short video and interactive assessment activity is designed to give fourth graders an overview of forming figures with cutouts.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. The purpose of this first task is to see the relationship between the side-lengths of a cube and its volume.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. In this iteration, we do away with the lines that delineate individual unit cubes (which makes it more abstract) and generalize from cubes to rectangular prisms.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. Here, we are given the volume and are asked to find the height.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. This problem is based on ArchimedesŐ Principle that the volume of an immersed object is equivalent to the volume of the displaced water.
In this video segment you’ll discover how using concentric circles can help you determine how much paint is needed to cover the deck of a carousel.
Students identify, perform, and algebraically describe rigid motions to establish congruence of two dimensional polygons, including triangles, and develop congruence criteria for triangles.
This task is designed to give students insight into the effects of translations, rotations, and reflections on geometric figures in the context of showing that two figures are congruent.
Students' first experience with transformations is likely to be with specific shapes like triangles, quadrilaterals, circles, and figures with symmetry. Exhibiting a sequence of transformations that shows that two generic line segments of the same length are congruent is a good way for students to begin thinking about transformations in greater generality.