Pre-K-2
Build ideas about navigation and location, as described in the
Geometry Standard, and use these ideas to solve problems.
3-5
In this
lesson students will develop a definition for tessellations. They will
also analyze the importance of the tessellated game board in playing and
winning the game NeXtu on the Calculation Nation website.
9-12
In this lesson,
students examine and draw representations of cubes and then learn how to analyze
these representations using complex numbers. Students use what they know about
operations on complex numbers to see if a drawing is an accurate representation
of a cube. They also learn how to generate complex numbers that will produce
such representations.
3-5
Using an area tool on the computer, students will begin to develop an understanding of area. Students will use 12" × 12" paper squares to measure the area of a door. They will determine whether area increases or decreases as the length or width of their door changes.
Pre-K-2
In this activity, students use their knowledge of number, measurement and geometry to plan the steps necessary for a ladybug to draw rectangles of different sizes. As they experiment, students begin to understand the relationship between the shape of a rectangle and the lengths of its sides. They also develop a sense of the amount of turn in a right angle.
Pre-K-2
In this activity, students use 45- and 90-degree angles to create triangles, and develop an understanding of the relationship between angles and the shape of triangle. Students use their knowledge of number, measurement and geometry to design a "virtual path" using two different angles to help a ladybug reach its hiding place under a leaf.
3-5
In this lesson, students develop their understanding of the
terms
quadrilateral,
parallel, and
right angle. They apply that understanding in problem-solving
activities with tangrams.
9-12
Congressional districts are redrawn after a census year
(conducted by the federal government every 10 years) to reflect shifting
populations. Political scientists say there is a major advantage for whichever
political party has control of a state legislature when districts are redrawn.
However, during the process, the minority party tends to make accusations that
districts are being gerrymandered, or drawn in unnatural ways to manipulate
voter populations that would favor the majority. In this lesson, students
explore how mathematics can be used to make decisions about whether a given
congressional district is or is not being gerrymandered. They also use
objective measurements to explore the ambiguity that is inherent in the
process.
6-8, 9-12
In this lesson, students will develop an understanding of the Fibonacci Sequence (and its connection to Golden Rectangles), Golden Ratio, Golden Rectangle, and the term
ratio (as it applies to rectangles). Students will use tools and construction techniques to demonstrate geometry prowess and be able to observe the Golden Rectangle in nature and in the classroom.
6-8, 9-12
In this lesson, students will explore reflections,
translations and rotations. Students participate in a modeling activity where
they will learn the rules for translations and reflections. Then students
will practice using these transformations, as well as explore the rules for
rotations, in the game
Flip-n-Slide on Calculation Nation®.
