101 Questions
The Mystery Line
Take the mystery out of linear functions. Provided an image with no scale, learners guess where the line that connects them might cross the y-axis. After providing the coordinates of the points, they realize scale is an important...
Kenan Fellows
Let's Move
Find a statistical reason for a fresh start. Using a hypothetical scenario, individuals research statistical data of three different cities. Their goal? Find the best statistical reason for a business to move to a new location. Their...
Concord Consortium
Be Well
How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...
Mascil Project
Design a Parking Garage
Parking structures don't build themselves. Investigate the process of designing and planning the construction of a parking garage. After considering the factors that must go into the design, scholars create their own models from a...
Mascil Project
Building a Safe Staircase
Climb up the staircase of engineering knowledge. After watching a video of a carpenter measuring out steps for a set of stairs, pupils learn about the terminology and regulations involving stairs. They see how to use a rule of thumb when...
PBS
The Lowdown — Poverty Trends: What Does It Mean to Be Poor in America?
Here's a resource that's rich with learning opportunities. Future mathematicians investigate the poverty rate in America over time. They use an interactive to compare the poverty rate during the Great Recession of 2008 to other years,...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target J
Look at patterns in bivariate data. Eight sample items illustrate the eighth grade statistics and probability standards. The Smarter Balanced Sample multiple-choice items focus on numerical and categorical bivariate data. The slide show...
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Radford University
Building Your Own Home
Building a home means mastering math. Scholars apply various math topics to situations associated with the construction of a home. They consider the volume of concrete needed for a foundation, the perimeter and area of
blueprints, the...
Radford University
Ancient Aqueduct Analysis Project
Let the class' knowledge of geometry flow like water in an aqueduct. Future mathematicians research ancient Roman aqueducts and consider the geometric concepts necessary in their construction. They then use GeoGebra to create models of...
Radford University
Calculating the Cost: Algebraic Planning for a First Car
Scholars decide which job to take based on the pay. They then research cars to potentially purchase and determine the total cost of the car. Finally, they calculate how long they would have to work to purchase the car along with how much...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
Flipped Math
Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema
Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...
Flipped Math
Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
Flipped Math
Unit 1 Review: Analyze Graphs and Expressions
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
Flipped Math
Modeling with Graphs
Create a graph for anything in the world. Pupils continue to work with graphs that model situations. The learners analyze different graphs to answer questions about the scenario along with finding equations of graphs. Scholars use...
Flipped Math
Unit 5 Review: Bivariate Data
The data says it's a wrap. Pupils work through four review questions with multiple parts dealing with bivariate data. Questions cover creating and interpreting two-way tables and scatter plots with lines of best fit. Scholars finish up...
Flipped Math
Correlation
Determine how close the line is to the scatter plot. Clear video instruction shows how to plot a scatter plot and find the best fit line using the linear regression function on a calculator. Pupils use the information from the calculator...
Flipped Math
Unit 8 Review: Functions
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Flipped Math
Graphs of Functions
Create a graphical description. Pupils watch a video presentation starting with vocabulary on properties of a graph of a function and then use the vocabulary to find key features of graphs of a function. Scholars use three graphs in the...
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