This lesson will explore the concept of domain and range and their relationship to functions. It is 9 of 13 in the series titled "Domain and Range." Includes short quiz. [2:49]
These questions test knowledge of domain and range of exponential functions, properties of exponents, and population growth and compound interest modeled by exponential functions. Questions are true/false and multiple choice; solutions are provided.
Students are introduced to the main features of functions that they will learn throughout the year, providing students with a conceptual understanding of how functions are used to model various situations.
This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.
Get the facts about the grizzly bear. Besides finding a detailed description of North America's second largest land carnivore, you'll also learn about some of its unique facts and characteristics. Also included in this Mammal Fact Sheet on grizzly bears is information on their habitat and habits, range, feeding, breeding, and conservation efforts. Don't forget to check out the video clips of grizzlies using the link near the top of the webpage. A list of resources completes the fact sheet.
A review of the important concepts dealing with functions and transformations of functions. Java plug-in is required for the exploration feature.
Brush up on your math skills relating to mean, median, mode, and range then try some practice problems to test your understanding.
In this role-playing activity, students learn how cellular phone service works, its advantages and its limitations. Students also learn about the advantages and limitations of satellite phone service. Phone communication involves many aspects of science, math and engineering, and this activity conveys to students how these technologies help people to stay better connected. Students use what they learn to understand what communication options might be available for Maya and her parents, Spacewoman Tess and Spaceman Rohan.
These questions test knowledge of the definition of a logarithm, domain and range of logarithmic functions, and properties of logarithms. Questions are true/false and multiple-choice; solutions are provided.
Distributions and Variability
Type of Unit: Project
Prior Knowledge
Students should be able to:
Represent and interpret data using a line plot.
Understand other visual representations of data.
Lesson Flow
Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.
Students learn different tools for analyzing data, including:
Measures of center: mean (average), median, mode
Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
Visual representations: line plot, box plot, histogram
These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.
To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.
GalleryCreate a Data SetStudents will create data sets with a specified mean, median, range, and number of data values.Bouncing Ball Experiment How high does the class think a typical ball bounces (compared to its drop height) on its first bounce? Students will conduct an experiment to find out.Adding New Data to a Data Set Given a data set, students will explore how the mean changes as they add data values.Bowling Scores Students will create bowling score data sets that meet certain criteria with regard to measures of center.Mean Number of Fillings Ten people sit in a dentist's waiting room. The mean number of fillings they have in their teeth is 4, yet none of them actually have 4 fillings. Students will explain how this situation is possible.Forestland Students will examine and interpret box plots that show the percentage of forestland in 20 European countries.What's My Data?Students will create a data set that fits a given histogram and then adjust the data set to fit additional criteria.What's My Data 2? Students will create a data set that fits a given box plot and then adjust the data set to fit additional criteria.Compare Graphs Students will make a box plot and a histogram that are based on a given line plot and then compare the three graphs to decide which one best represents the data.Random Numbers What would a data set of randomly generated numbers look like when represented on a histogram? Students will find out!No Telephone? The U.S. Census Bureau provides state-by-state data about the number of households that do not have telephones. Students will examine two box plots that show census data from 1960 and 1990 and compare and analyze the data.Who Is Taller?Who is taller—the boys in the class or the girls in the class? Students will find out by separating the class height data gathered earlier into data for boys and data for girls.
Here is a site that clearly and thoroughly explains functions and function notation. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have been absent or who need additional instruction on this or many other topics.
This lesson looks at the different measures of center and variability that are used when analyzing the spread of data in a distribution. Includes downloadable study guide with exercises - guide also covers other topics. [17:21]
This pathways exapnds the concepts of motion from one dimension into two dimensions. Two key applications of this are the pendulum and projectile motion. The pathways concludes with questions that test understanding of the topic.
Canadian Wildlife site features the Mountain Bluebird. Highlights its habitats and habits, range, feeding and breeding characteristics.
In this lesson on functions, students explore how to identify and create functions. Then students use functions to solve real-world problems.
Students learn how engineers navigate satellites in orbit around the Earth and on their way to other planets in the solar system. In accompanying activities, they explore how ground-based tracking and onboard measurements are performed. Also provided is an overview of orbits and spacecraft trajectories from Earth to other planets, and how spacecraft are tracked from the ground using the Deep Space Network (DSN). DSN measurements are the primary means for navigating unmanned vehicles in space. Onboard spacecraft instruments might include optical sensors and an inertial measurement unit (IMU).
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.