6-8
In this lesson, students draw various polygons and investigate their interior angles. The investigation is done using both an interactive tool and paper and pencil to foster an understanding of how different patterns can lead to the same solution. After comparing results with a partner, students develop a formula showing the relationship between the number of sides of a polygon and the sum of the interior angles.
6-8
A political map of the United States after the 2000 election is largely red, representing the Republican candidate, George W. Bush. However, the presidential race was nearly tied. Using a grid overlay, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.
6-8, 9-12
We often hear that there are measurements in the body that can be used to predict a person’s height. By graphing different body measurements versus height and comparing their correlation coefficient, students decide which body measurement is the best predictor.
6-8
In this lesson, students will use dimensions of round and square hay bales to calculate and compare volumes. They also calculate unit prices to determine which hay bale is the better value. Finally, students explore how to fit round and square bales into a barn to maximize volume, and decide which type of hale bale is the best choice.
6-8
Darts is a popular game in which players throw 3 darts, one at a time, aiming for a target. Different regions of the board give different points. In this lesson, students learn how to change the scale of an object, and how to measure and draw angles using a protractor. By the end of the lesson, students have created their own dartboard. The dartboard can later serve to emphasize properties of angles and angle pairs. This activity is a good one to do prior to a lesson in which students construct circle graphs. The practice they will get in this lesson drawing circles and measuring angles will help them in their quest to more accurately create circle graphs.
6-8
Tile floors are common in many homes and businesses. They are durable, beautiful, and can add value to the home or business but they can also be costly. In this lesson, students will create and estimate the cost of a tile floor design using geometric shapes, ratios, proportions, and percents. All cost estimates are based on the purchase of full boxes of tiles so students have to weigh cost against design considerations. Cost estimates also include labor and taxes for a more realistic estimate of what it costs for a great looking floor.
6-8
In this lesson, students will use formulas they have explored for the volume of a cylinder and convert them into the same volume for rectangular prisms while trying to minimize the surface area. Various real world cylindrical objects will be measured and converted into a prism to hold the same volume. As an extension, students may design and create a rectangular prism container according to their dimensions to compare and contrast with the cylinder.
6-8, 9-12
In this lesson, students use polydrons to create nets of rectangular prisms. They discover that there are many configurations for rectangular prisms with the same volume, and determine that certain configurations minimize surface area. The lesson continues in a discovery activity related to building the most cost-efficient and appealing fish tank.
6-8, 9-12
This lesson can be used for students to discover the relationship between dimension and volume. Students create two rectangular prisms and two cylinders to determine which holds more popcorn. Students then justify their observation by analyzing the formulas and identifying the dimension(s) with the largest impact on the volume.
6-8
What's at the end of the rainbow or, in this case, the ruler? In this
lesson, students find a treasure using directions involving bearing
(angles) and range (length). In the process, they measure angles
from 0° to 360°, use map scales, and measure lengths.
