6-8
Students extend their knowledge of proportions to solving problems dealing with similarity. They measure the heights and shadows of familiar objects and use indirect measurement to find the heights of things that are much bigger in size, such as a flagpole, a school building, or a tree.
6-8
Using a scheme similar to the one in the Rectangle
lesson of this unit, students will further explore the concepts of
identity, inverse, and commutative and associative properties. Students
investigate and analyze moves performed with a plus sign, and an online
activity is available to help students with this investigation.
3-5, 6-8
This lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Students help Emma determine how many different nets are possible and then analyze the resulting cubes.
6-8
Students explore using the isometric drawing tool and gain practice and experience in manipulating drawings.
6-8, 9-12
Each student creates parallelograms from square sheets of paper and connects them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square. At the end of the lesson, the octagon is transformed into a pinwheel, and students discover a surprising result.
6-8
Using the isometric drawing tool, students build three-dimensional figures and find the surface area and volume of each figure.
6-8
Students explore drawing the front-right-top view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the front-right-top view.
6-8
Using three dimensional figures they have constructed, students determine when two isometric drawings can represent the same shape and explain their reasoning. Students will also determine what possible shapes might have the same isometric drawing and explain their reasoning.
6-8
Students examine some isometric drawings that seem to be impossible and
investigate one way Escher used to create these "impossible" figures.
6-8
In this lesson, students use cubes to develop spatial thinking and review basic geometric principles through real-life applications. Students are given the opportunity to build and take apart structures based on cubes.