6-8
Finding a rule for the number of hits is only the first step in exploring the Paper Pool game. Students can gain a deeper understanding of the patterns by considering graphical representations of the results.
9-12
In this cooperative learning activity, students are presented with a
real-world problem: Given a mirror and laser pointer, determine the
position where one should stand so that a reflected light image will
hit a designated target.
This investigation allows students to develop several rational
functions that models three specific forms of a rational function.
Students explore the relationship between the graph, the equation, and
problem context.
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.
Pre-K-2
In this lesson, students are encouraged to discover all of the combinations for a given situation. Students apply problem-solving skills (including elimination and collection of organized data) to draw their conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.
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.
