Flipped Math
Calculus AB/BC - Determining Limits Using Algebraic Manipulation
Sometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...
Flipped Math
Calculus AB/BC - Determining Limits Using Algebraic Properties
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
Flipped Math
Calculus AB/BC - Estimating Limit Values from Graphs
A one-sided limit need not be half as interesting as a two-sided limit. Pupils learn the notation for one-sided limits and how to determine the value of a one-sided limit from graphs by watching a short video. They then see how to create...
Flipped Math
Calculus AB/BC - Defining Limits and Using Limit Notation
There's no limit to what one can learn about limits. The second of 18 videos in Unit 1 - Limits and Continuity focuses on understanding the basic concept of a limit. Pupils learn the definition of limits and see how to determine a limit...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Bowland
Tuck Shop
Correct a misleading conclusion. Individuals review a set of data and a conclusion to determine what is wrong with the conclusion. Pupils then represent the data with an appropriate display. Finally, learners develop a correct conclusion...
Bowland
Taxi Cabs
Determine the cheapest way to the airport. Pupils read a scenario about trying to get 75 people to the airport using two different sizes of taxis. Learners calculate the number of smaller taxis needed given a number of large taxis and...
Bowland
Sports Bag
Lay it out using the least amount of material. Learners use the dimensions of a cylindrical sports bag to find out the size of pieces of material needed to sew them. The pupils find the best placement of the pieces to use the least...
Bowland
Spinner Bingo
Create a winning card. Given a description of a bingo game using two spinners, pupils determine which of three cards has the greatest chance of winning. Scholars then determine which are the best numbers to put on their own cards to give...
Bowland
Security Camera
Take an overall view of percentages. Pupils determine whether a shop owner's claim is correct about what percent of his shop is viewable from the installed security camera. Learners try to find whether there is a better location for the...
Bowland
Patchwork Cushions
Find out if there are enough squares. Given diagrams for the first four figures in a sequence, pupils try to determine the next figure. Individuals find the number of square and triangle pieces of fabric that are required to make...
Bowland
Ice Cream
Make sure there is enough ice cream on hand. Learners try to find out how much ice cream to buy for a sports event. Scholars use a pie chart showing the percent of a sample of people who like different flavors of ice cream. Using the...
Bowland
Hot Under the Collar
It is close enough for all practical purposes. Pupils see two methods to convert degrees Celsius to degrees Fahrenheit, one with exact numbers and another using estimation. Learners review both methods and determine when the estimation...
Bowland
Counting Trees
Let's find a way to determine how many there are. Given a diagram of trees on a plantation, pupils devise a way to estimate the number of old and new trees. Using their methods, learners create estimates for the number of the two types...
Children’s Hospital of Philadelphia
Discovery and Development of Vaccines
Stop the spread. Pupils work through two activities to gain an understanding of vaccines and immunity. Learners research different types of vaccines and how they are made and explore the advantages and disadvantages of them. Using a...
Children’s Hospital of Philadelphia
Development of Disease and Infection
It's all in the cards. Using cards to simulate a disease's attack on the immune system, pupils develop an understanding of how the immune system and pathogens react to each other and why at times the pathogen wins. Groups play a game to...
Bowland
Smoothie Box
Make it a tight fit. Given drawings of a smoothie bottle, pupils need to determine the size of a box to hold 12 bottles. Scholars draw a net to show the dimensions needed to create a closed box that would not allow the bottles to move...
Bowland
Lottery
Take a chance on raising money. Learners calculate probabilities to determine whether a lottery is a good way to raise money. Pupils determine the number of combinations of choosing two numbers between one and six. Using the sample...
Bowland
Candle Box
Shine some light on nets. Using a creative assessment task, pupils create a net that would fold up into a hexagonal box and include the tabs needed for gluing the box together. Scholars then draw candles on each of the sides and the top...
Flipped Math
Calculus AB/BC - Estimating Limit Values from Tables
There's value in using a video to analyze a table of values. Pupils learn how to find the limit of a function from a table of values in the fourth of 18 lessons in Unit 1 - Limits and Continuity. An engaging video gives a tutorial on how...
Flipped Math
Calculus AB/BC - Can Change Occur at an Instant?
Be instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...
National Institute of Environmental Health Sciences
Lesson 1: Using the Pandemic Vulnerability Index Model to Examine the Risk Factors Associated with COVID-19
How vulnerable are you to COVID-19? High school mathematicians use the Pandemic Vulnerability Index to create models that help them collect and analyze data about the risk factors associated with COVID-19. After investigating four groups...
Mathalicious
Pandemic
Young scientists use exponential growth and logarithms to model how a virus spreads through a population. Pupils watch a news clip about the 2012 outbreak of Ebola. Scholars then manipulate inactive graphs to see how various factors...
Museum of Science
Cookie Mining
Knock a chip off the cookie. Learners purchase a property to mine and mining tools. Pupils use their tools to mine chocolate chips out of a cookie for 5 minutes and return cookie fragments to its original site. After the time is over,...