3-5
During this lesson, student use mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge in a real-life context. As students tackle more complex tasks, teachers have opportunity to observe student’s competence with methods and tools for computation, estimation, problem posing and solving, collection of data, organization and interpretation of graphical representations, measuring with standard units, and responding to investigations that require the comparison of data sets.
3-5
In the first lesson of this unit, students formulate and refine questions that can be addressed with categorical data. They consider aspects of data collection such as how to word questions and how to record the data they collect. Finally they represent and analyze the data in order to answer the question posed.
3-5
In the second lesson of this unit, students pose and refine questions that can be addressed with numerical data. They consider aspects of data collection such as how to obtain measurements and record the data they collect. They represent and analyze the ordered numerical data by describing the shape and important features of a set of data and compare related data sets, with an emphasis on how the data are distributed. In collecting data, students measure with standard units and carry out simple unit conversions, such as from centimeters to meters or feet to inches.
3-5
In the final lesson of this unit, students recognize differences in representing and analyzing categorical and numerical data. Students also identify examples of each type of data.
6-8, 9-12
This lesson plan presents a classic game-show scenario. A student picks
one of three doors in the hopes of winning the prize. The host, who
knows the door behind which the prize is hidden, opens one of the two
remaining doors. When no prize is revealed, the host asks if the
student wishes to "stick or switch." Which choice gives you the best
chance to win? The approach in this activity runs from guesses to
experiments to computer simulations to theoretical models. This lesson
was adapted from an article written by J. Michael Shaughnessy and
Thomas Dick, which appeared in the April 1991 issue of the
Mathematics Teacher.
6-8
The paper pool game provides an opportunity for students to develop their understanding of ratio, proportion, greatest common divisor, and least common multiple.
6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.
6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.
3-5
In this lesson, students conduct a survey and create bar graphs from the data they have collected.
3-5
Students conduct a survey and create pictographs and line plots. They also determine the number of possible combinations.
