EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The activity reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to...
Wordpress
Introduction to Exponential Functions
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions based...
Virginia Department of Education
Box-and-Whisker Plots
The teacher demonstrates how to use a graphing calculator to create box-and-whisker plots and identify critical points. Small groups then create their own plots and analyze them and finish by comparing different sets of data using box...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
EngageNY
Interpreting Correlation
Is 0.56 stronger than -0.78? Interpret the correlation coefficient as the strength and direction of a linear relationship between two variables. An algebra lesson introduces the correlation coefficient by estimating and then calculating it.
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions.
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex number. Groups...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
UAF Geophysical Institute
Carbon Footprint
Your young environmentalists can calculate their carbon footprint and discuss ways to reduce it with a worksheet about climate change. After reading a handout about what impact one's carbon footprint can have on the environment, kids...
Laboratory for Atmospheric and Space Physics
Growing Up With A Mission
New Horizons began its journey to Pluto in 2006. Ten years later, it continues its mission. In that time, scholars have surely grown, but how much more will they grow by the time New Horizons reaches its destination? Find out with an...
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and others...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
Curated OER
The Trash We Pass
Where does our garbage go? What is the difference between a recyclable and non-recyclable item? Pose these important, but often overlooked, questions to your class and invite them to consider the lasting and damaging effects of the...
University of Georgia
Energy Content of Foods
Why do athletes load up on carbohydrates the evening before a competition? The lesson helps answer this question as it relates the type of food to the amount of energy it contains. After a discussion, scholars perform an experiment to...
WindWise Education
What Factors Influence Offshore Wind?
What is that out in the water on the horizon? Teams work together to study the coastline using maps to determine the best and worst locations to place an offshore wind farm. The teams then build a scale model wind farm to see what it...
Statistics Education Web
NFL Quarterback Salaries
Use statistics to decide if NFL quarterbacks earn their salaries! Learners study correlation coefficients after using technology to calculate regression equations. Through the data, they learn the meaning of correlation and correlation...
Teach Engineering
Edible Rovers (High School)
Design and build a rover ... then eat it? This activity has groups of two design and build Mars rovers. The teams determine what instruments they want to include with their rover and plan a budget. They calculate the cost of the body of...
Teach Engineering
Density Column Lab - Part 2
Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the liquids...
Teach Engineering
Quantum Dots and Colors
Introduce teams to quantum dot solutions with an activity that has them expose solutions to a blacklight, observe the colors, and take measurements. Groups graph the data and analyze the dependence between particle size and color...
Mathematics Assessment Project
Mean, Median, Mode, and Range
What a find! Here is a lesson, designed to meet sixth grade math Common Core standards, that focuses on the calculation of different measures of center for the scores from a penalty shoot-out competition. An independent...
EngageNY
Sampling Variability
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...